TSTP Solution File: SWW247+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWW247+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Thu Jul 21 01:28:10 EDT 2022

% Result   : Timeout 299.72s 300.47s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWW247+1 : TPTP v8.1.0. Released v5.2.0.
% 0.02/0.10  % Command  : run_spass %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Mon Jun  6 04:56:34 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 299.72/300.47  
% 299.72/300.47  SPASS V 3.9 
% 299.72/300.47  SPASS beiseite: Ran out of time.
% 299.72/300.47  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 299.72/300.47  SPASS derived 142981 clauses, backtracked 21689 clauses, performed 29 splits and kept 53762 clauses.
% 299.72/300.47  SPASS allocated 236582 KBytes.
% 299.72/300.47  SPASS spent	0:05:00.17 on the problem.
% 299.72/300.47  		0:00:00.05 for the input.
% 299.72/300.47  		0:00:00.45 for the FLOTTER CNF translation.
% 299.72/300.47  		0:00:03.80 for inferences.
% 299.72/300.47  		0:00:00.71 for the backtracking.
% 299.72/300.47  		0:4:50.34 for the reduction.
% 299.72/300.47  
% 299.72/300.47  
% 299.72/300.47   The set of clauses at termination is :
% 299.72/300.47  1148[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),w))**.
% 299.72/300.47  51669[0:SSi:51651.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.47  188772[2:Res:188150.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))*.
% 299.72/300.47  188750[2:Res:188149.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))*.
% 299.72/300.47  188664[0:MRR:188663.1,251.0] ||  -> hBOOL(hAPP(u,v)) equal(skf67(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v),v)**.
% 299.72/300.47  1152[0:Inp] class_Rings_Oidom(u) || equal(hAPP(c_Polynomial_Opoly(u,v),w),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.72/300.47  188150[0:Res:51740.1,39778.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)*.
% 299.72/300.47  188149[0:Res:51740.1,38559.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)*.
% 299.72/300.47  188261[2:Res:188148.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.47  188248[2:Res:188147.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.47  3662[0:Rew:3621.0,2649.2] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(u,w,v)),v)**.
% 299.72/300.47  188148[0:Res:51740.1,55301.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)*.
% 299.72/300.47  188147[0:Res:51740.1,55085.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)*.
% 299.72/300.47  51740[0:SSi:51725.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.47  188091[0:MRR:188090.1,251.0] ||  -> hBOOL(hAPP(u,v)) equal(skf68(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v),v)**.
% 299.72/300.47  3664[0:Rew:3621.0,2647.2] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(u,w,v)),v)**.
% 299.72/300.47  187612[0:Res:51668.1,475.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.47  187575[0:Res:51668.1,28828.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.47  187574[0:Res:51668.1,55634.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.47  51668[0:SSi:51650.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.47  21783[0:Rew:21719.1,21723.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* equal(skf44(u,v),skf44(u,w))*+ -> equal(v,w).
% 299.72/300.47  185179[2:SpR:185071.1,47109.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.47  185178[2:SpR:185071.1,47015.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.47  185177[2:SpR:185071.1,47136.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.47  185176[2:SpR:185071.1,47051.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.47  1145[0:Inp] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.72/300.47  185175[2:SpR:185071.1,48591.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.47  185174[2:SpR:185071.1,48525.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.47  185173[2:SpR:185071.1,48618.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.47  185172[2:SpR:185071.1,48561.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.47  1144[0:Inp] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.72/300.47  185158[2:SpR:185071.1,41124.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.47  185157[2:SpR:185071.1,41051.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.47  185156[2:SpR:185071.1,42623.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.47  185155[2:SpR:185071.1,42568.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.47  1124[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),w))*.
% 299.72/300.47  185154[2:SpR:185071.1,41151.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.47  185153[2:SpR:185071.1,42661.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.47  185152[2:SpR:185071.1,41105.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.47  185151[2:SpR:185071.1,42604.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.47  1143[0:Inp] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 299.72/300.47  185142[2:SpR:185071.1,47109.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.47  185141[2:SpR:185071.1,46992.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.47  185140[2:SpR:185071.1,47110.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.47  185139[2:SpR:185071.1,47108.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.47  3661[0:Rew:3621.0,2650.2] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))+ -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(u,w,v)),v)**.
% 299.72/300.47  185138[2:SpR:185071.1,48591.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.47  185137[2:SpR:185071.1,48502.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.47  185136[2:SpR:185071.1,48592.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.47  185135[2:SpR:185071.1,48590.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.47  3663[0:Rew:3621.0,2648.2] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))+ -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(u,w,v)),v)**.
% 299.72/300.47  185112[2:SpR:185071.1,41124.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.47  185111[2:SpR:185071.1,41028.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.47  185109[2:SpR:185071.1,42623.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.47  185108[2:SpR:185071.1,42545.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.47  1147[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),x)).
% 299.72/300.47  185107[2:SpR:185071.1,41125.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.47  185106[2:SpR:185071.1,42624.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.47  185105[2:SpR:185071.1,41123.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.47  185104[2:SpR:185071.1,42622.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.47  1146[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)))*.
% 299.72/300.47  185134[2:SpR:185071.1,46621.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.47  185133[2:SpR:185071.1,46305.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  185132[2:SpR:185071.1,47484.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  185131[2:SpR:185071.1,48077.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.47  1131[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.72/300.47  185103[2:SpR:185071.1,12149.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.47  185102[2:SpR:185071.1,12148.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.47  185101[2:SpR:185071.1,40604.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  185100[2:SpR:185071.1,42118.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  21752[0:Rew:21719.1,21226.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w))**.
% 299.72/300.47  185099[2:SpR:185071.1,40720.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.47  185098[2:SpR:185071.1,40937.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  185094[2:SpR:185071.1,26602.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),u,v)*.
% 299.72/300.47  185093[2:SpR:185071.1,26678.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),u,v)*.
% 299.72/300.47  185191[2:SpL:185071.1,65645.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(u,skf49(c_fNot)) -> .
% 299.72/300.47  185071[0:Res:6683.1,286.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(skf60(c_fequal(u)),u)**.
% 299.72/300.47  18988[4:SpR:5744.1,18861.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP0(v,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))*.
% 299.72/300.47  3769[0:Rew:3621.0,3685.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(u)),x))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.72/300.47  8982[4:SpR:2673.1,8780.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v)*.
% 299.72/300.47  9761[0:SpL:2673.1,9538.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**+ equal(skf64(v),u)* -> .
% 299.72/300.47  184642[2:MRR:184619.0,4367.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  184661[0:Obv:184660.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)))*.
% 299.72/300.47  1893[0:Rew:1878.0,1133.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))*+ -> equal(v,w).
% 299.72/300.47  184718[2:MRR:184702.0,4367.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  184741[0:Obv:184740.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))))*.
% 299.72/300.47  184630[0:SSi:184597.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  179289[0:SSi:179181.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  1139[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.72/300.47  184360[4:MRR:184344.0,8759.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  184384[0:Obv:184383.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)))*.
% 299.72/300.47  179288[0:SSi:179175.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  69299[0:SpL:19349.0,334.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  1142[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.72/300.47  69300[0:SpL:19349.0,333.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  150015[2:SoR:3610.0,146464.2] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  146401[2:Res:64591.1,537.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.72/300.47  39951[10:SpR:9887.0,38831.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  1141[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))*.
% 299.72/300.47  64525[2:SSi:64503.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.47  64591[2:SSi:64570.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.47  175006[4:SpR:10150.1,175000.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.47  173543[0:SSi:173522.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.47  1136[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.72/300.47  51947[2:SpR:5744.1,51888.0] || equal(u,v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))*.
% 299.72/300.47  146464[2:SpR:5744.1,146400.0] || equal(u,v)*+ -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(u)*.
% 299.72/300.47  179307[0:SSi:179306.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)**.
% 299.72/300.47  183221[0:Obv:183220.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))*.
% 299.72/300.47  1129[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))**.
% 299.72/300.47  183278[4:MRR:183262.0,8759.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  183301[0:Obv:183300.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))))*.
% 299.72/300.47  183186[0:SSi:183153.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  179305[0:SSi:179304.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v),u)**.
% 299.72/300.47  12714[0:Rew:12519.0,1122.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.72/300.47  179303[0:SSi:179302.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)**.
% 299.72/300.47  47256[2:SpR:12545.1,47016.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.47  47159[2:SpR:12545.1,47014.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.47  1134[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.72/300.47  46995[2:SpR:12545.1,46267.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.47  47186[2:SpR:12545.1,47015.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.47  47139[2:SpR:12545.1,46993.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.47  47112[2:SpR:12545.1,46992.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.47  1706[0:MRR:1404.1,873.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.72/300.47  47054[2:SpR:12545.1,46991.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.47  47018[2:SpR:12545.1,46990.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.47  48621[2:SpR:12545.1,48503.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.47  48594[2:SpR:12545.1,48502.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.47  53216[0:MRR:1405.0,53159.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.72/300.47  48564[2:SpR:12545.1,48501.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.47  48528[2:SpR:12545.1,48500.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.47  48668[2:SpR:12545.1,48525.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.47  48505[2:SpR:12545.1,47446.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.47  1890[0:Rew:1878.0,1126.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),u))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.47  48781[2:SpR:12545.1,48526.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.47  48641[2:SpR:12545.1,48524.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.47  146402[2:Res:64591.1,12546.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* equal(skf48(c_fequal(skf64(u))),u).
% 299.72/300.47  146503[2:SSi:146477.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  1892[0:Rew:1878.0,1128.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.47  54405[2:MRR:53957.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u))))*.
% 299.72/300.47  7974[2:MRR:7973.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))))*.
% 299.72/300.47  54139[2:Res:51888.0,51176.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))))*.
% 299.72/300.47  38831[10:SpR:10150.1,38830.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf50(u)))*.
% 299.72/300.47  1115[0:Inp] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(w,v,u)),hAPP(c_Polynomial_Ocoeff(u,w),skf40(w,v,u)))* -> equal(v,w).
% 299.72/300.47  5951[2:SpR:5744.1,4895.0] || equal(u,skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  54544[2:SpR:5744.1,54354.0] || equal(skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  10609[2:Res:4913.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Orderings_Oord__class_OLeast(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))*.
% 299.72/300.47  150018[2:SoR:54468.0,146464.2] || equal(skf49(c_fNot),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  1120[0:Inp] class_Groups_Ozero(u) || equal(v,w) equal(x,y) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),hAPP(hAPP(c_Polynomial_OpCons(u),y),w))*.
% 299.72/300.47  38833[10:SpR:5744.1,38830.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  71830[4:MRR:71608.0,8759.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  71750[2:Res:51888.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  152162[2:MRR:152011.0,4367.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  1114[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)))**.
% 299.72/300.47  19380[2:Rew:19349.0,4903.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.47  58208[2:SSi:58200.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.47  62106[2:Res:51947.1,334.0] || equal(u,v) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.72/300.47  147171[2:SpR:266.0,146398.0] ||  -> hBOOL(u) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.47  1118[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)))**.
% 299.72/300.47  57999[2:Res:54139.0,334.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))*.
% 299.72/300.47  7988[2:Res:7974.0,334.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))*.
% 299.72/300.47  2433[0:SpL:263.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  2420[0:SpL:262.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.47  1098[0:Inp] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(x,y)))*.
% 299.72/300.47  58000[2:Res:54139.0,333.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))*.
% 299.72/300.47  7989[2:Res:7974.0,333.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))*.
% 299.72/300.47  2367[0:SpL:263.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  2354[0:SpL:262.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.47  1117[0:Inp] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**+ -> equal(v,c_Groups_Oone__class_Oone(u)) equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.47  146398[2:Res:64591.1,53848.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  4913[2:Res:4895.0,384.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))))*.
% 299.72/300.47  146403[2:Res:64591.1,326.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* SkP0(v,u)*.
% 299.72/300.47  146399[2:Res:64591.1,25507.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* SkP0(u,v)*.
% 299.72/300.47  1700[0:Rew:565.1,1314.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)),w),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.47  47109[2:SpR:12553.0,46992.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf60(v))*.
% 299.72/300.47  47015[2:SpR:12553.0,46990.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf60(v))*.
% 299.72/300.47  46992[2:SpR:12553.0,46267.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf48(v))*.
% 299.72/300.47  46990[2:SpR:12551.0,46267.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf48(v))*.
% 299.72/300.47  1104[0:Inp] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf55(v,u)))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.72/300.47  47016[2:SpR:12664.0,46990.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf47(v))*.
% 299.72/300.47  47110[2:SpR:12664.0,46992.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf47(v))*.
% 299.72/300.47  47137[2:SpR:12664.0,46993.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf47(v))*.
% 299.72/300.47  46993[2:SpR:12664.0,46267.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf48(v))*.
% 299.72/300.47  52846[0:MRR:21785.0,52795.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,w)),skf44(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.72/300.47  47136[2:SpR:12553.0,46993.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf60(v))*.
% 299.72/300.47  47014[2:SpR:12552.0,46990.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf57(v))*.
% 299.72/300.47  47050[2:SpR:12552.0,46991.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf57(v))*.
% 299.72/300.47  47108[2:SpR:12552.0,46992.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf57(v))*.
% 299.72/300.47  42251[0:MRR:21784.0,42168.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,w)),skf44(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.72/300.47  47135[2:SpR:12552.0,46993.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf57(v))*.
% 299.72/300.47  46991[2:SpR:12552.0,46267.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf48(v))*.
% 299.72/300.47  47051[2:SpR:12553.0,46991.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf60(v))*.
% 299.72/300.47  47052[2:SpR:12664.0,46991.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf47(v))*.
% 299.72/300.47  179332[0:Rew:179331.0,3725.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))**.
% 299.72/300.47  48591[2:SpR:12553.0,48502.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf60(v))*.
% 299.72/300.47  48525[2:SpR:12553.0,48500.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf60(v))*.
% 299.72/300.47  48502[2:SpR:12553.0,47446.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf48(v))*.
% 299.72/300.47  48500[2:SpR:12551.0,47446.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf48(v))*.
% 299.72/300.47  48526[2:SpR:12664.0,48500.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf47(v))*.
% 299.72/300.47  48592[2:SpR:12664.0,48502.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf47(v))*.
% 299.72/300.47  48619[2:SpR:12664.0,48503.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf47(v))*.
% 299.72/300.47  48503[2:SpR:12664.0,47446.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf48(v))*.
% 299.72/300.47  1075[0:Inp] ||  -> equal(hAPP(hAPP(u,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),hAPP(c_Nat_OSuc,y)))**.
% 299.72/300.47  48618[2:SpR:12553.0,48503.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf60(v))*.
% 299.72/300.47  48524[2:SpR:12552.0,48500.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),skf57(v))*.
% 299.72/300.47  48560[2:SpR:12552.0,48501.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf57(v))*.
% 299.72/300.47  48590[2:SpR:12552.0,48502.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),skf57(v))*.
% 299.72/300.47  1082[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,x)),w))**.
% 299.72/300.47  48617[2:SpR:12552.0,48503.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),skf57(v))*.
% 299.72/300.47  48501[2:SpR:12552.0,47446.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf48(v))*.
% 299.72/300.47  48561[2:SpR:12553.0,48501.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf60(v))*.
% 299.72/300.47  48562[2:SpR:12664.0,48501.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),skf47(v))*.
% 299.72/300.47  1092[0:Inp] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))*.
% 299.72/300.47  51888[2:SSi:51873.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))*.
% 299.72/300.47  146400[2:Res:64591.1,52144.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* hBOOL(u).
% 299.72/300.47  46619[2:SpR:12551.0,46284.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(u))*.
% 299.72/300.47  46620[2:SpR:12552.0,46284.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf57(u))*.
% 299.72/300.47  1042[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.72/300.47  46621[2:SpR:12553.0,46284.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(u))*.
% 299.72/300.47  46622[2:SpR:12664.0,46284.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(u))*.
% 299.72/300.47  46303[2:SpR:12551.0,46271.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  46304[2:SpR:12552.0,46271.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  1044[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.72/300.47  46305[2:SpR:12553.0,46271.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  46306[2:SpR:12664.0,46271.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  47482[2:SpR:12551.0,47450.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  47483[2:SpR:12552.0,47450.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  1062[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.72/300.47  47484[2:SpR:12553.0,47450.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  47485[2:SpR:12664.0,47450.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.47  48075[2:SpR:12551.0,47463.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(u))*.
% 299.72/300.47  48076[2:SpR:12552.0,47463.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf57(u))*.
% 299.72/300.47  1050[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.72/300.47  48077[2:SpR:12553.0,47463.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(u))*.
% 299.72/300.47  48078[2:SpR:12664.0,47463.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(u))*.
% 299.72/300.47  4895[2:MRR:4851.0,4367.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))*.
% 299.72/300.47  54354[2:Res:4913.0,51176.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))*.
% 299.72/300.47  1063[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.72/300.47  116002[2:MRR:115995.0,4367.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.47  116040[2:MRR:116025.0,4367.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  116003[2:MRR:115996.0,4367.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.47  116041[2:MRR:116026.0,4367.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  1045[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.72/300.47  38830[10:Spt:18798.1] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.47  51976[2:Res:51888.0,334.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,u)*.
% 299.72/300.47  177149[29:Spt:177122.0,146563.0] ||  -> SkP0(u,skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))*.
% 299.72/300.47  1043[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.72/300.47  176512[0:SpR:276.0,176502.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x))*.
% 299.72/300.47  176536[0:Res:176487.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)))*.
% 299.72/300.47  176551[0:SpL:1878.0,176537.0] || equal(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  176535[0:Res:176487.0,9638.0] ||  -> SkP1(u,v,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x))*.
% 299.72/300.47  1051[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.72/300.47  176537[0:Res:176487.0,336.0] || equal(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),u)** -> .
% 299.72/300.47  176487[0:SpR:276.0,176401.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)))*.
% 299.72/300.47  176502[0:Res:176401.0,21175.0] ||  -> SkP1(u,v,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w,x))*.
% 299.72/300.47  176401[0:SSi:176311.1,176311.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)))*.
% 299.72/300.47  1090[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x)).
% 299.72/300.47  169104[26:SpR:3614.0,162097.1] || equal(skf48(c_fequal(u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  175495[0:SpR:9368.0,172507.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf64(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  175499[0:SpR:219.0,172507.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  1089[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)).
% 299.72/300.47  172507[0:SSi:172426.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  175193[4:SpR:3749.0,175149.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))*.
% 299.72/300.47  175148[4:SpR:2526.0,174999.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.47  174997[4:SpR:9385.1,174985.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.47  1088[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.72/300.47  174966[0:SpR:9368.0,172506.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  175149[4:SpR:9368.0,174999.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(u,skf64(v)))*.
% 299.72/300.47  174999[4:SpR:15222.0,174985.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.47  174995[4:SpR:2526.0,174985.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  1087[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.72/300.47  174996[4:SpR:9368.0,174985.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf64(u))*.
% 299.72/300.47  175000[4:SpR:219.0,174985.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.47  174985[4:MRR:174976.0,8759.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))*.
% 299.72/300.47  172506[0:SSi:172422.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  1009[0:Inp] || hBOOL(hAPP(u,skf67(u,v,w)))*+ -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.72/300.47  169757[28:SpR:12874.1,169753.0] || equal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> SkP0(v,skf48(c_fequal(u)))*.
% 299.72/300.47  1006[0:Inp] || hBOOL(hAPP(u,skf68(u,v,w)))*+ -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.72/300.47  1094[0:Inp] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.72/300.47  1095[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.72/300.47  1040[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.72/300.47  1041[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.72/300.47  173913[0:SpL:3632.0,173541.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,u)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.47  173541[0:SSi:173540.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.47  1083[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.72/300.47  1084[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.72/300.47  173401[8:SpL:48262.0,173257.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  173378[0:MRR:173377.0,173377.2,64590.0,78504.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.47  173404[0:SpL:3632.0,173257.0] || equal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  173257[0:MRR:173256.1,146.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  1091[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))*.
% 299.72/300.47  172997[28:Res:169756.1,150320.0] || equal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  1065[0:Inp] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.72/300.47  1689[0:Rew:1065.1,1171.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.72/300.47  1064[0:Inp] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.72/300.47  172395[0:SpL:170043.0,333.0] || hBOOL(u) -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.47  172394[0:SpL:170043.0,334.0] || hBOOL(u) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.47  170043[0:MRR:170042.0,1844.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)**.
% 299.72/300.47  1683[0:Rew:1093.1,1116.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))**.
% 299.72/300.47  1093[0:Inp] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))**.
% 299.72/300.47  1035[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.72/300.47  1077[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.72/300.47  1080[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.72/300.47  1039[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.47  1037[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.47  1086[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.47  1038[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  1036[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  1085[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  1010[0:Inp] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(u,skf67(u,v,w)))*+ -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.72/300.47  1007[0:Inp] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(u,skf68(u,v,w)))*+ -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.72/300.47  1913[0:Rew:1878.0,1025.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v)))*.
% 299.72/300.47  1012[0:Inp] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**+ equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,u).
% 299.72/300.47  1049[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.72/300.47  1053[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*+ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))*.
% 299.72/300.47  169753[28:Spt:169726.0,146574.0] ||  -> SkP0(u,skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))))*.
% 299.72/300.47  1032[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.72/300.47  1028[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.72/300.47  163264[2:SSi:163240.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.47  162114[26:SSi:162105.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),u)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  162097[26:SpR:5744.1,161965.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.72/300.47  1059[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))**.
% 299.72/300.47  168770[27:SpR:3614.0,163997.1] || equal(skf48(c_fequal(u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))**+ -> SkP0(v,u)*.
% 299.72/300.47  163997[27:SpR:5744.1,163996.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.72/300.47  1079[0:Inp] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))**.
% 299.72/300.47  1026[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.72/300.47  1031[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.72/300.47  1016[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))*.
% 299.72/300.47  1017[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.72/300.47  1078[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))**.
% 299.72/300.47  1073[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))**.
% 299.72/300.47  164000[27:SpR:2170.1,163996.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.47  1074[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)))*.
% 299.72/300.47  1076[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.72/300.47  1030[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))* -> .
% 299.72/300.47  1898[0:Rew:1878.0,1033.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> .
% 299.72/300.47  1928[0:Rew:1878.0,1899.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.72/300.47  963[0:Inp] || SkP2(u,v,w) SkP1(u,v,w) -> hBOOL(hAPP(hAPP(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.72/300.47  994[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Polynomial_Omonom(u,w,x)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))**.
% 299.72/300.47  1004[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x))**.
% 299.72/300.47  969[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.72/300.47  976[0:Inp] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(w,y)),hAPP(x,y)))*.
% 299.72/300.47  959[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))**.
% 299.72/300.47  1003[0:Inp] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),hAPP(hAPP(c_Polynomial_OpCons(u),x),w))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.72/300.47  957[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))**.
% 299.72/300.47  956[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))**.
% 299.72/300.47  955[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))**.
% 299.72/300.47  997[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))**.
% 299.72/300.47  999[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))**.
% 299.72/300.47  1685[0:Rew:812.1,1150.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))**.
% 299.72/300.47  992[0:Inp] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)).
% 299.72/300.47  991[0:Inp] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  163996[27:Spt:163969.0,146565.0] ||  -> SkP0(u,hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))*.
% 299.72/300.47  1661[0:Rew:1659.1,1658.1,1659.1,1658.1] class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))**.
% 299.72/300.47  161860[2:SpR:266.0,150015.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(u).
% 299.72/300.47  163290[2:Res:163233.0,53228.1] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),skf46(c_Int_Onat))** -> .
% 299.72/300.47  1659[0:Rew:996.1,1001.1] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))**.
% 299.72/300.47  163272[2:SoR:6731.0,163233.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),skf48(c_fNot))** -> .
% 299.72/300.47  163233[2:Res:161748.1,28828.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.72/300.47  163232[2:Res:161748.1,55634.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.47  161748[2:SSi:161747.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.47  1660[0:Rew:1659.1,996.1] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))**.
% 299.72/300.47  162100[26:SpR:2170.1,161965.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  162989[26:SpR:3614.0,161957.1] || equal(skf48(c_fequal(u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))**+ -> SkP0(u,v)*.
% 299.72/300.47  161957[26:SpR:5744.1,161956.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.47  1686[0:Rew:813.1,1151.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))**.
% 299.72/300.47  951[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.72/300.47  161960[26:SpR:2170.1,161956.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.47  952[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  972[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  970[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  161965[26:Res:161956.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))))*.
% 299.72/300.47  973[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.72/300.47  161956[26:Spt:161941.0,146531.0] ||  -> SkP0(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),u)*.
% 299.72/300.47  971[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.72/300.47  953[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.72/300.47  161477[18:Obv:161465.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(u,skf46(c_Nat_OSuc)) -> .
% 299.72/300.47  159342[18:SpL:9887.0,159340.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf46(c_Nat_OSuc)) -> .
% 299.72/300.47  157785[0:SpL:9368.0,157764.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf64(u)))),skf50(skf64(u)))** -> .
% 299.72/300.47  155131[4:Res:150394.1,53228.1] || equal(skf48(u),skf47(c_Int_Onat))** equal(skf48(u),skf46(c_Int_Onat)) -> .
% 299.72/300.47  954[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  155045[4:Res:150394.1,53230.1] || equal(skf60(u),skf47(c_Int_Onat))** equal(skf60(u),skf46(c_Int_Onat)) -> .
% 299.72/300.47  155025[4:MRR:155008.2,8759.0] || equal(hAPP(c_Int_Onat,u),skf49(c_fNot))** equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.47  155020[0:Res:54454.1,6276.1] || equal(hAPP(c_Int_Onat,u),skf49(c_Int_Onat))** equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.47  155015[4:Res:150394.1,6276.1] || equal(hAPP(c_Int_Onat,u),skf47(c_Int_Onat))** equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.47  988[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  154867[8:SpL:3614.0,69452.1] || equal(skf48(c_fequal(u)),skf48(c_fNot))** equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.47  154104[4:Res:150394.1,53229.1] || equal(skf57(u),skf47(c_Int_Onat))** equal(skf57(u),skf46(c_Int_Onat)) -> .
% 299.72/300.47  153797[2:SSi:153768.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  150652[2:SSi:150643.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  986[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  150642[2:SSi:150633.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  989[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)).
% 299.72/300.47  987[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.72/300.47  985[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBB(u,u,tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(u)),c_Polynomial_Ocoeff(u,v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))**.
% 299.72/300.47  3665[0:Rew:3621.0,2576.1] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*+ equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(u,x))*.
% 299.72/300.47  968[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(u,v).
% 299.72/300.47  159998[25:Spt:159984.0,146505.0] ||  -> hBOOL(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  3680[0:Rew:3621.0,2616.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),v))).
% 299.72/300.47  3696[0:Rew:3621.0,2655.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v)).
% 299.72/300.47  136673[18:MRR:136672.1,111803.0] || equal(skf62(c_Nat_OSuc,u),skf49(c_Nat_OSuc))**+ -> hBOOL(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  159573[19:Obv:159556.2] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(u,skf48(c_fNot)) -> .
% 299.72/300.47  131464[19:SoR:6731.0,131462.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  127223[18:SpR:9368.0,118137.1] || equal(skf48(c_fequal(skf50(skf64(u)))),skf48(c_Nat_OSuc))** -> hBOOL(skf64(u)).
% 299.72/300.47  3738[0:Rew:3621.0,2630.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.72/300.47  159463[18:MRR:159462.1,54474.0] || equal(skf49(c_fNot),skf47(c_Nat_OSuc))** -> .
% 299.72/300.47  159458[18:MRR:159457.1,54474.0] || equal(skf48(c_Nat_OSuc),skf47(c_Nat_OSuc))** -> .
% 299.72/300.47  3729[0:Rew:3621.0,2621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.72/300.47  159358[18:MRR:159357.1,54474.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(c_Nat_OSuc))** -> .
% 299.72/300.47  159340[18:SpL:10150.1,159253.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf46(c_Nat_OSuc))**+ -> .
% 299.72/300.47  159253[18:MRR:159251.1,54474.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf46(c_Nat_OSuc))** -> .
% 299.72/300.47  3720[0:Rew:3621.0,2604.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.72/300.47  159247[18:MRR:159246.1,54474.0] || equal(skf49(c_Nat_OSuc),skf46(c_Nat_OSuc))** -> .
% 299.72/300.47  116508[18:SpR:10150.1,111970.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(u))*.
% 299.72/300.47  3724[0:Rew:3621.0,2607.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))**.
% 299.72/300.47  116507[18:SpR:10150.1,111966.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(u))*.
% 299.72/300.47  974[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.72/300.47  158712[18:Rew:225.0,158689.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  964[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.72/300.47  114145[18:SpR:2526.0,111821.1] || equal(hAPP(c_Int_Onat,u),skf49(c_Nat_OSuc)) -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  111856[18:MRR:73408.2,111803.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.47  111855[18:MRR:6277.2,111803.0] || equal(u,skf47(c_Int_Onat)) equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.47  111852[18:MRR:47614.1,111803.0] || equal(skf62(c_Nat_OSuc,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**+ -> hBOOL(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  1900[0:Rew:1878.0,967.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.72/300.47  73078[0:SpR:272.0,1661.1] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),u)**.
% 299.72/300.47  20169[0:Rew:3753.0,20154.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  40098[0:SSi:40097.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.47  40124[0:SSi:40123.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  966[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))**+ -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.72/300.47  63126[0:SSi:63113.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))* -> .
% 299.72/300.47  63156[0:SSi:63147.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),skf48(c_fequal(u))))* -> .
% 299.72/300.47  10011[0:SpL:9487.0,4510.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),skf50(skf64(u)))** -> .
% 299.72/300.47  26176[0:SpL:9487.0,26096.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),skf48(c_fequal(skf50(skf64(u)))))** -> .
% 299.72/300.47  965[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))**+ -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.72/300.47  28388[0:SpL:9368.0,28333.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),skf50(skf64(u)))** -> .
% 299.72/300.47  28829[0:MRR:28808.1,26096.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf48(c_fequal(u))))* -> .
% 299.72/300.47  38552[0:SSi:38478.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf48(c_fequal(u))))* -> .
% 299.72/300.47  7189[0:SoR:6731.0,6866.1] || equal(u,skf48(c_fNot)) equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> .
% 299.72/300.47  2543[0:Rew:2526.0,1052.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.72/300.47  6799[0:SpL:5744.1,6795.0] || equal(skf48(c_Int_Onat),u) equal(hAPP(c_Int_Onat,u),skf48(c_fNot))** -> .
% 299.72/300.47  56409[0:SpL:2526.0,56386.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.47  75081[0:SSi:75080.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.47  40162[0:SSi:40161.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  909[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_COMBC(u,u,u,c_Groups_Oplus__class_Oplus(u)),c_Groups_Oone__class_Oone(u)),v,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.72/300.47  40111[0:SSi:40110.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.47  56233[0:SpL:276.0,55181.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),hAPP(c_Nat_OSuc,u)))* -> .
% 299.72/300.47  157764[0:Res:382.1,56384.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))),u)** -> .
% 299.72/300.47  56384[0:Res:520.1,55215.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),u))* -> .
% 299.72/300.47  947[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Polynomial_Opoly(u,w),x)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x))**.
% 299.72/300.47  16570[0:Res:16419.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))),skf48(u)))* -> .
% 299.72/300.47  16430[0:Res:16274.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))),skf60(u)))* -> .
% 299.72/300.47  10769[0:Res:9494.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf64(u))),skf50(skf64(u))))* -> .
% 299.72/300.47  58754[0:SpR:9368.0,58532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))))*.
% 299.72/300.47  3723[0:Rew:3621.0,2612.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)))**.
% 299.72/300.47  55594[0:SpR:9487.0,55204.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))))*.
% 299.72/300.47  157314[0:SpL:219.0,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.72/300.47  157392[4:SpR:9368.0,157334.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))))*.
% 299.72/300.47  157334[4:Res:61109.1,56385.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.47  942[0:Inp] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.47  56385[0:Res:533.1,55215.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),u))* -> .
% 299.72/300.47  28283[0:Rew:276.0,28269.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),u))* -> .
% 299.72/300.47  9490[0:SpR:9368.0,4392.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),skf50(skf64(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.47  9489[0:SpR:9368.0,347.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(skf64(u)))**.
% 299.72/300.47  943[0:Inp] class_Rings_Ono__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.47  52537[4:SoR:6731.0,52303.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),skf48(c_fNot))** -> .
% 299.72/300.47  6897[0:SoR:6731.0,5906.1] || equal(u,skf48(c_fNot)) equal(u,hAPP(c_Int_Onat,skf48(c_Int_Onat)))* -> .
% 299.72/300.47  38546[0:SSi:38463.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> .
% 299.72/300.47  38555[0:SSi:38482.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> .
% 299.72/300.47  920[0:Inp] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),x),w))* -> .
% 299.72/300.47  9640[0:Res:7330.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),u))* -> .
% 299.72/300.47  9639[0:Res:3537.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),u))* -> .
% 299.72/300.47  2872[0:SpR:2526.0,276.0] ||  -> equal(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))**.
% 299.72/300.47  28830[0:MRR:28807.1,26073.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))* -> .
% 299.72/300.47  941[0:Inp] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)))**.
% 299.72/300.47  38551[0:SSi:38474.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))* -> .
% 299.72/300.47  51472[0:SpL:5744.1,51464.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))* -> .
% 299.72/300.47  18201[0:SpL:15222.0,2478.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.47  156198[0:Rew:3614.0,155984.0] ||  -> equal(skf64(skf48(c_fequal(skf64(u)))),skf64(u))**.
% 299.72/300.47  936[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)))**.
% 299.72/300.47  155925[4:Obv:155913.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(u,skf49(c_fNot)) -> .
% 299.72/300.47  58444[4:SpL:9887.0,54536.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf49(c_fNot)) -> .
% 299.72/300.47  20477[8:SpL:9887.0,19311.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf48(c_fNot)) -> .
% 299.72/300.47  931[0:Inp] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))**.
% 299.72/300.47  80164[4:SpL:3614.0,52537.1] || equal(skf48(c_fequal(u)),skf48(c_fNot))** equal(u,skf48(c_fNot)) -> .
% 299.72/300.47  18644[0:SpR:3749.0,18525.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)))*.
% 299.72/300.47  18522[0:SpR:2526.0,18125.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.47  27877[0:Res:7339.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.47  937[0:Inp] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.72/300.47  42448[0:SSi:42447.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.47  52296[2:Rew:1878.0,52167.1] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.47  7339[0:SpR:276.0,7318.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.47  52297[2:Rew:1878.0,52168.1] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.47  938[0:Inp] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)).
% 299.72/300.47  75357[4:SpR:276.0,75342.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.47  58581[0:Res:55642.1,51113.1] || equal(skf60(u),skf49(c_Int_Onat))** equal(skf60(u),skf46(c_Int_Onat)) -> .
% 299.72/300.47  80146[4:SpL:3614.0,52530.1] || equal(skf48(c_fequal(u)),skf48(c_fNot))** equal(u,skf46(c_Int_Onat)) -> .
% 299.72/300.47  51271[0:SpL:12874.1,51121.0] || equal(skf46(c_Int_Onat),u) equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> .
% 299.72/300.47  939[0:Inp] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.72/300.47  51267[8:SpL:5744.1,51119.0] || equal(skf46(c_Int_Onat),u) equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  52530[4:SoR:6731.0,52290.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),skf46(c_Int_Onat))** -> .
% 299.72/300.47  51610[0:Res:5840.1,51113.1] || equal(u,skf48(c_Int_Onat)) equal(hAPP(c_Int_Onat,u),skf46(c_Int_Onat))** -> .
% 299.72/300.47  53228[0:SpL:12551.0,51588.0] || equal(skf48(u),skf46(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,skf48(u)))* -> .
% 299.72/300.47  940[0:Inp] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)).
% 299.72/300.47  53230[0:SpL:12553.0,51588.0] || equal(skf60(u),skf46(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,skf60(u)))* -> .
% 299.72/300.47  6276[0:SpL:5744.1,4320.0] || equal(u,skf47(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)))* -> .
% 299.72/300.47  73552[13:SpL:12874.1,73453.0] || equal(skf47(c_Int_Onat),u) equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.47  73461[4:MRR:73409.2,8759.0] || equal(u,skf49(c_fNot)) equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.47  918[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  73430[0:Res:54454.1,27439.1] || equal(skf49(c_Int_Onat),u) equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.47  69452[8:SoR:6731.0,69440.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),skf47(c_Int_Onat))** -> .
% 299.72/300.47  73413[0:SpL:3614.0,27439.1] || equal(skf48(c_fequal(skf48(c_fequal(u)))),skf47(c_Int_Onat))** hBOOL(u) -> .
% 299.72/300.47  73439[0:Res:10603.1,27439.1] class_Orderings_Owellorder(u) || equal(skf48(c_fequal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  916[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  38547[0:SSi:38464.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> .
% 299.72/300.47  38550[0:SSi:38467.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> .
% 299.72/300.47  38556[0:SSi:38483.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> .
% 299.72/300.47  27737[3:SpL:3614.0,6580.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** equal(u,skf47(c_fNot)) -> .
% 299.72/300.47  919[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.47  6580[3:SpL:5744.1,6560.0] || equal(skf47(c_Int_Onat),u) equal(hAPP(c_Int_Onat,u),skf47(c_fNot))** -> .
% 299.72/300.47  6541[0:SpL:5744.1,6530.0] || equal(skf47(c_Int_Onat),u) equal(hAPP(c_Int_Onat,u),skf60(c_Int_Onat))** -> .
% 299.72/300.47  27654[0:SpL:3614.0,6541.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** equal(u,skf60(c_Int_Onat)) -> .
% 299.72/300.47  154521[23:Res:148525.0,27439.1] || equal(skf48(c_fequal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  917[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.72/300.47  27439[0:SpL:3614.0,6276.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.47  49215[8:Rew:49081.0,6292.0] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat)))*+ hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.47  49128[8:SpR:48262.0,22567.0] ||  -> SkP1(u,skf62(c_Int_Onat,skf47(c_Int_Onat)),skf50(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(v))))*.
% 299.72/300.47  53231[0:SpL:12664.0,51588.0] || equal(skf47(u),skf46(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,skf47(u)))* -> .
% 299.72/300.47  932[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  38541[0:SSi:38458.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> .
% 299.72/300.47  38549[0:SSi:38466.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> .
% 299.72/300.47  16584[0:Res:16420.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))),skf47(u)))* -> .
% 299.72/300.47  58558[0:Res:55641.1,51113.1] || equal(skf57(u),skf49(c_Int_Onat))** equal(skf57(u),skf46(c_Int_Onat)) -> .
% 299.72/300.47  933[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.47  38542[0:SSi:38459.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> .
% 299.72/300.47  38545[0:SSi:38462.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> .
% 299.72/300.47  38548[0:SSi:38465.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> .
% 299.72/300.47  38554[0:SSi:38481.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> .
% 299.72/300.47  934[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  12854[0:Rew:12519.0,7129.1] || equal(skf57(c_Int_Onat),u) equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> .
% 299.72/300.47  20490[8:SpL:9887.0,19409.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf57(c_Int_Onat)) -> .
% 299.72/300.47  53229[0:SpL:12552.0,51588.0] || equal(skf57(u),skf46(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,skf57(u)))* -> .
% 299.72/300.47  38539[0:SSi:38456.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> .
% 299.72/300.47  935[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.72/300.47  38543[0:SSi:38460.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> .
% 299.72/300.47  38544[0:SSi:38461.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> .
% 299.72/300.47  16542[0:Res:16418.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))),skf57(u)))* -> .
% 299.72/300.47  153761[2:SSi:153717.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  925[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))* -> equal(u,w) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.47  153698[2:Res:378.1,80546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  80546[2:Res:536.1,53848.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  51534[0:SpL:5744.1,51526.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))* -> .
% 299.72/300.47  28032[2:SpL:3614.0,9272.1] || equal(skf48(c_fequal(u)),skf48(c_fNot))** equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.72/300.47  924[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))* -> equal(v,w) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.47  16181[0:SSi:16170.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.47  29814[0:SpR:414.0,16179.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.47  16179[0:SSi:16149.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.72/300.47  29832[0:Res:16179.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.72/300.47  915[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.47  29873[0:SSi:29857.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.72/300.47  48874[0:SSi:48873.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.72/300.47  9272[2:SoR:6731.0,9233.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.47  53625[2:SpR:5744.1,53616.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)*+ -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.47  922[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.72/300.47  53863[2:SpR:5744.1,53797.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)*+ -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.47  71736[0:Res:5746.1,24466.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  57263[0:SpR:9385.1,57133.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(skf51(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  58633[0:SpR:2526.0,57266.0] ||  -> equal(skf51(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  923[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.72/300.47  58677[0:SpR:3749.0,58636.0] ||  -> equal(skf51(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  152967[2:Res:152835.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),skf46(c_Int_Onat))** -> .
% 299.72/300.47  152950[2:SoR:6731.0,152835.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),skf48(c_fNot))** -> .
% 299.72/300.47  152835[2:Res:63093.1,28828.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))))*.
% 299.72/300.47  929[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))* -> equal(v,w).
% 299.72/300.47  152834[2:Res:63093.1,55634.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))*.
% 299.72/300.47  63093[2:SpR:52124.1,63055.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.72/300.47  71637[0:SpL:284.0,24466.0] || hBOOL(u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  71782[0:Res:18720.1,24466.0] class_Orderings_Olinorder(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  21745[0:Rew:21719.1,21219.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),hAPP(c_Nat_OSuc,skf44(u,v)))**.
% 299.72/300.47  71781[0:Res:269.1,24466.0] class_Orderings_Opreorder(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  71838[0:SSi:71662.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  49245[8:MRR:49244.2,1844.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.47  2179[0:SpR:2117.1,248.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  3761[0:Rew:3621.0,3683.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.72/300.47  19393[8:SpL:5744.1,19331.0] || equal(skf47(c_Int_Onat),u) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  10374[4:SoR:6731.0,10316.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  9495[0:SpR:9368.0,2117.1] || equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(skf64(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.47  9503[0:SpR:9368.0,6937.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  3763[0:Rew:3621.0,3693.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.72/300.47  152166[6:MRR:152113.0,18991.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  24466[0:SSi:24452.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.47  22595[0:SpL:18347.0,9645.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  914[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*+ equal(w,hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.47  151735[6:Res:19861.1,150319.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  151774[6:Res:19861.1,151702.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf64(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  151702[0:SpL:9368.0,150319.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf64(u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.72/300.47  150319[0:Res:63058.1,12557.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.72/300.47  3764[0:Rew:3621.0,3695.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.72/300.47  151530[4:SpR:3614.0,150576.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  150576[4:Res:8819.1,150346.0] || equal(skf47(c_Int_Onat),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.72/300.47  150540[4:Res:8789.1,150346.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  150607[11:SSi:150598.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf62(c_Int_Onat,u),v)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.47  1901[0:Rew:1878.0,907.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),u))*.
% 299.72/300.47  150695[4:Res:150394.1,51113.1] || equal(skf47(c_Int_Onat),u)* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.47  150654[4:SoR:6731.0,150394.1] || equal(u,skf48(c_fNot))* equal(skf47(c_Int_Onat),u) -> .
% 299.72/300.47  150678[4:Res:150394.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  150677[4:Res:150394.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  902[0:Inp] class_Rings_Oidom(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))*.
% 299.72/300.47  150676[4:Res:150394.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  150559[2:Res:25608.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.72/300.47  150557[2:Res:25416.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.72/300.47  150568[2:Res:8672.0,150346.0] ||  -> equal(c_Int_Onat__aux(u,v),v)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  878[0:Inp] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))**.
% 299.72/300.47  150570[4:Res:51614.1,150346.0] || equal(skf46(c_Int_Onat),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  150730[4:SoR:3610.0,150700.1] || equal(skf57(c_Int_Onat),skf47(c_Int_Onat))** -> .
% 299.72/300.47  150680[8:Res:150394.1,49218.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf47(c_Int_Onat))** -> .
% 299.72/300.47  905[0:Inp] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),hAPP(hAPP(c_Polynomial_OpCons(u),x),y))* -> equal(v,x).
% 299.72/300.47  150675[4:Res:150394.1,4440.0] || equal(skf47(c_COMBI(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.47  150394[4:Res:8819.1,150348.0] || equal(skf47(c_Int_Onat),u) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.47  150546[2:Res:55073.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.47  150544[2:Res:55286.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.47  904[0:Inp] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),hAPP(hAPP(c_Polynomial_OpCons(u),x),y))* -> equal(w,y).
% 299.72/300.47  150564[11:Res:50757.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf62(c_Int_Onat,u)))*.
% 299.72/300.47  150541[4:Res:51125.0,150346.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf46(c_Int_Onat)))*.
% 299.72/300.47  150346[2:Res:63058.1,52038.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  150506[6:Res:19861.1,150320.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  870[0:Inp] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x)).
% 299.72/300.47  150320[0:Res:63058.1,11629.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.72/300.47  150350[0:Res:63058.1,327.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*+ -> SkP0(u,v)*.
% 299.72/300.47  150434[7:SoR:3610.0,150373.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.47  1672[0:Rew:1082.1,1066.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.72/300.47  150348[2:Res:63058.1,51414.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(u).
% 299.72/300.47  63058[0:MRR:63057.0,220.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.47  57804[2:SSi:57801.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  150217[2:SoR:3610.0,150185.1] || equal(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf49(c_fNot))** -> .
% 299.72/300.47  852[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))**.
% 299.72/300.47  150131[2:SpR:266.0,150018.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf49(c_fNot))** -> hBOOL(u).
% 299.72/300.47  21751[0:Rew:21719.1,21225.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*+ equal(skf44(u,v),w)* -> equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.72/300.47  847[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.72/300.47  848[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.72/300.47  149002[23:Res:148527.1,51113.1] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.47  148961[23:SoR:6731.0,148527.1] || equal(u,skf48(c_fNot)) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> .
% 299.72/300.47  149341[24:SSi:149332.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  843[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.72/300.47  844[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.72/300.47  903[0:Inp] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*+ -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.47  149331[24:Spt:149317.0,147188.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))*.
% 299.72/300.47  837[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))**.
% 299.72/300.47  148985[23:Res:148527.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.72/300.47  148984[23:Res:148527.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.72/300.47  148983[23:Res:148527.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.72/300.47  148970[23:SpR:3614.0,148527.1] || equal(skf48(c_fequal(u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u).
% 299.72/300.47  865[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.72/300.47  149070[23:SoR:3610.0,149006.1] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf57(c_Int_Onat))** -> .
% 299.72/300.47  148987[23:Res:148527.1,49218.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.72/300.47  148982[23:Res:148527.1,4440.0] || equal(skf47(c_COMBI(u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.72/300.47  864[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.72/300.47  148527[23:SpR:5744.1,148525.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.47  894[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.72/300.47  893[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.72/300.47  148540[23:Res:148525.0,51113.1] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf46(c_Int_Onat))** -> .
% 299.72/300.47  148526[23:SoR:6731.0,148525.0] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf48(c_fNot))** -> .
% 299.72/300.47  835[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.72/300.47  148525[23:Spt:148511.0,146488.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))*.
% 299.72/300.47  891[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  833[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.72/300.47  866[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.72/300.47  890[0:Inp] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.47  147975[22:Spt:147961.0,146562.0] ||  -> SkP0(u,skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))*.
% 299.72/300.47  839[0:Inp] || hBOOL(hAPP(u,skf62(u,v)))*+ -> hBOOL(hAPP(u,hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.47  830[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.47  829[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  147389[21:Spt:147375.0,146528.0] ||  -> SkP0(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)*.
% 299.72/300.47  828[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.47  827[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.47  12637[0:Rew:12519.0,838.2] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(u,v))),v).
% 299.72/300.47  146711[20:Spt:146697.0,146485.0] ||  -> hBOOL(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))*.
% 299.72/300.47  146545[2:SpR:266.0,146403.0] ||  -> hBOOL(u) SkP0(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.47  825[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.72/300.47  146511[2:SpR:266.0,146399.0] ||  -> hBOOL(u) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.72/300.47  826[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.72/300.47  57518[2:SSi:57515.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.47  79399[2:SpL:3614.0,51891.1] || equal(skf48(c_fequal(u)),skf48(c_fNot))** equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.72/300.47  75079[0:SSi:75044.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.47  824[0:Inp] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*+ -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.72/300.47  52038[2:SSi:52023.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  5871[0:SpR:5744.1,246.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.47  832[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.72/300.47  52049[2:SpR:5744.1,51878.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)*+ -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.47  53848[2:SSi:53829.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.47  5870[0:SpR:5744.1,254.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.47  51992[2:SpR:5744.1,51877.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)*+ -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.47  831[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.72/300.47  51544[0:SpL:5744.1,51536.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))* -> .
% 299.72/300.47  8423[0:SpR:5859.1,266.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u).
% 299.72/300.47  19551[0:SpR:268.0,587.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.47  28018[4:SpL:3614.0,8779.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.72/300.47  863[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,u)),u).
% 299.72/300.47  5859[0:SpR:5744.1,242.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  19349[0:SpR:601.0,268.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))**.
% 299.72/300.47  51891[2:SoR:6731.0,51857.1] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.47  8779[4:MRR:6278.2,8759.0] || equal(u,skf47(c_Int_Onat)) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.47  1914[0:Rew:1878.0,841.1] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.72/300.47  12611[0:Rew:12519.0,10195.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf48(c_fequal(skf50(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.47  20180[0:SpL:2526.0,18204.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.47  20269[0:SpL:3749.0,20183.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.47  2408[0:SpL:242.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  1915[0:Rew:1878.0,842.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.72/300.47  2342[0:SpL:242.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.47  77949[10:SpR:266.0,39951.1] || equal(hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u).
% 299.72/300.47  127232[18:Res:118137.1,50956.0] || equal(skf48(c_fequal(skf46(c_Nat_OSuc))),skf48(c_Nat_OSuc))**+ -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.47  122645[18:AED:109.0,122635.0] || equal(skf48(c_fequal(u)),skf49(c_Nat_OSuc))**+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.47  871[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v).
% 299.72/300.47  122591[18:AED:109.0,122581.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.47  114156[18:Res:111821.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Nat_OSuc)),skf49(c_Nat_OSuc))**+ -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.47  144511[18:SpR:12664.0,114155.1] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf47(u)))*.
% 299.72/300.47  144510[18:SpR:12552.0,114155.1] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf57(u)))*.
% 299.72/300.47  888[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(u,hAPP(c_Nat_OSuc,v)).
% 299.72/300.47  144509[18:SpR:12553.0,114155.1] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(u)))*.
% 299.72/300.47  144508[18:SpR:12551.0,114155.1] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf48(u)))*.
% 299.72/300.47  144514[18:SpR:12609.0,114155.1] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.47  144513[18:SpR:12610.0,114155.1] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.47  875[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.72/300.47  111854[18:MRR:4323.1,111803.0] || equal(hAPP(c_Int_Onat,skf47(c_Nat_OSuc)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**+ -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.47  144252[18:SpR:12664.0,111853.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf47(u)))*.
% 299.72/300.47  144251[18:SpR:12552.0,111853.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf57(u)))*.
% 299.72/300.47  873[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w))*.
% 299.72/300.47  144250[18:SpR:12553.0,111853.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(u)))*.
% 299.72/300.47  144249[18:SpR:12551.0,111853.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf48(u)))*.
% 299.72/300.47  144255[18:SpR:12609.0,111853.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.47  144254[18:SpR:12610.0,111853.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.47  12634[0:Rew:12519.0,849.2] || hBOOL(hAPP(u,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*+ -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.47  26106[0:Rew:1878.0,26097.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.72/300.47  26108[0:Rew:1878.0,26099.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.72/300.47  51031[0:Res:6728.1,50956.0] || equal(skf48(c_fequal(skf46(c_fNot))),skf48(c_fNot))**+ -> hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.47  12635[0:Rew:12519.0,850.0] || hBOOL(hAPP(u,skf48(c_fequal(skf58(u)))))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(u,v))*.
% 299.72/300.47  55492[0:Res:54466.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_fNot)),skf49(c_fNot))**+ -> hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.47  66496[8:MRR:66360.0,49214.0] ||  -> SkP1(u,skf50(skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.47  49083[8:SpR:48262.0,3623.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),u)))*.
% 299.72/300.47  49181[8:SpL:48262.0,3635.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Nat_OSuc,u)),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.47  874[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.72/300.47  26109[0:Rew:1878.0,26100.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.72/300.47  26107[0:Rew:1878.0,26098.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.72/300.47  38535[0:SSi:38452.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.47  38536[0:SSi:38453.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.47  1925[0:Rew:1878.0,1902.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))*.
% 299.72/300.47  38537[0:SSi:38454.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.47  38538[0:SSi:38455.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.47  25383[0:MRR:25365.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))))* -> .
% 299.72/300.47  25384[0:MRR:25364.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))))* -> .
% 299.72/300.47  779[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(v,w).
% 299.72/300.47  25385[0:MRR:25363.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))))* -> .
% 299.72/300.47  25386[0:MRR:25362.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))))* -> .
% 299.72/300.47  26402[0:MRR:26401.1,13563.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))))* -> .
% 299.72/300.47  26429[0:MRR:26422.1,12522.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))))* -> .
% 299.72/300.47  776[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(v,w).
% 299.72/300.47  26476[0:MRR:26475.1,12364.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))))* -> .
% 299.72/300.47  26496[0:MRR:26493.1,12169.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))))* -> .
% 299.72/300.47  64780[0:SpR:2526.0,64662.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.47  64811[0:SSi:64796.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.47  816[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))**.
% 299.72/300.47  6938[0:SpR:3996.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.47  25508[0:MRR:25497.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))))* -> .
% 299.72/300.47  25509[0:MRR:25496.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))))* -> .
% 299.72/300.47  25510[0:MRR:25495.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))))* -> .
% 299.72/300.47  813[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))**.
% 299.72/300.47  25511[0:MRR:25494.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))))* -> .
% 299.72/300.47  64648[0:SpR:2526.0,64590.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.47  12686[0:Rew:12519.0,8514.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.47  64130[0:SSi:64112.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.47  815[0:Inp] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))**.
% 299.72/300.47  111858[18:MRR:66356.0,111803.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.72/300.47  111857[18:MRR:66357.0,111803.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.72/300.47  79809[2:SoR:6731.0,79634.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf48(c_fNot))** -> .
% 299.72/300.47  79827[2:SoR:6731.0,79635.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf48(c_fNot))** -> .
% 299.72/300.47  812[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))**.
% 299.72/300.47  9629[0:Res:5017.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.47  79824[2:Res:79634.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf46(c_Int_Onat))** -> .
% 299.72/300.47  79842[2:Res:79635.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf46(c_Int_Onat))** -> .
% 299.72/300.47  49088[8:SpR:48262.0,3622.0] ||  -> equal(hAPP(c_Nat_OSuc,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.72/300.47  746[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),w)**.
% 299.72/300.47  66497[8:MRR:66430.1,49214.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(skf62(c_Int_Onat,skf47(c_Int_Onat))))** -> .
% 299.72/300.47  73421[0:Res:5525.0,27439.1] || equal(skf48(c_fequal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  73422[0:Res:5629.0,27439.1] || equal(skf48(c_fequal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),skf47(c_Int_Onat))** -> .
% 299.72/300.47  51272[0:SpL:12589.1,51121.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf46(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat))** -> .
% 299.72/300.47  747[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w)**.
% 299.72/300.47  7128[0:SpL:2070.1,7119.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf57(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat))** -> .
% 299.72/300.47  6789[0:SoR:6731.0,4017.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf48(c_fNot)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat))** -> .
% 299.72/300.47  25387[0:MRR:25356.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.47  78447[0:SpR:12609.0,42448.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.47  814[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))**.
% 299.72/300.47  25683[0:MRR:25682.1,2209.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.47  73553[13:SpL:12589.1,73453.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf47(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.72/300.47  66164[0:Res:54454.1,4356.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.72/300.47  9264[2:MRR:5346.2,9233.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.72/300.47  752[0:Inp] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.47  6562[3:Res:5849.1,4356.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf47(c_fNot)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.72/300.47  6532[0:Res:5848.1,4356.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.72/300.47  4356[0:SpL:2170.1,4320.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.47  9628[0:Res:4986.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.47  748[0:Inp] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.47  28831[0:MRR:28789.1,25468.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.47  38557[0:SSi:38484.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.47  38558[0:SSi:38485.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.47  8118[0:Res:6866.1,8097.0] || equal(skf48(c_fequal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),skf48(c_Int_Onat))** -> .
% 299.72/300.47  749[0:Inp] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.72/300.47  20600[8:Res:19779.1,8097.0] || equal(hAPP(c_Nat_OSuc,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  8050[0:Res:6866.1,7999.0] || equal(skf48(c_fequal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf48(c_Int_Onat))** -> .
% 299.72/300.47  20599[8:Res:19779.1,7999.0] || equal(hAPP(c_Nat_OSuc,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.47  56564[0:SpL:1878.0,55613.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.72/300.47  751[0:Inp] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)).
% 299.72/300.47  71617[15:SpL:67570.0,24466.0] || hBOOL(c_Groups_Ozero__class_Ozero(t_a)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(t_a,v_cs____)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  11629[0:Rew:233.0,11608.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.48  38560[0:SSi:38530.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.48  56885[0:SSi:56877.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.48  744[0:Inp] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),w),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  25512[0:MRR:25488.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.48  73423[0:Res:7721.0,27439.1] || equal(skf48(c_fequal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  8193[0:Res:6866.1,8153.0] || equal(skf48(c_fequal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),skf48(c_Int_Onat))** -> .
% 299.72/300.48  20601[8:Res:19779.1,8153.0] || equal(hAPP(c_Nat_OSuc,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  743[0:Inp] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.72/300.48  9627[0:Res:4868.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  8777[4:MRR:5347.2,8759.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.72/300.48  74833[0:Rew:1878.0,74815.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  13412[0:Rew:3654.0,13280.1] || equal(u,v) -> equal(c_Int_Onat__aux(w,v),c_Int_Onat__aux(w,u))*.
% 299.72/300.48  12636[0:Rew:12519.0,798.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(u,v)))),v)**.
% 299.72/300.48  6450[0:Rew:3654.0,5828.1] || equal(u,v) -> equal(c_Int_Onat__aux(u,w),c_Int_Onat__aux(v,w))*.
% 299.72/300.48  5744[0:Rew:379.0,5736.1] || equal(u,v) -> equal(hAPP(w,v),hAPP(w,u))*.
% 299.72/300.48  52587[2:SpR:52292.1,6450.1] || equal(u,v)*+ -> hBOOL(v)* equal(c_Int_Onat__aux(u,w),w)**.
% 299.72/300.48  10877[0:Obv:10876.1] class_Rings_Ocomm__semiring__0(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  781[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))* -> equal(v,u).
% 299.72/300.48  10863[0:Obv:10862.1] class_Groups_Omonoid__mult(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.48  10871[0:Obv:10870.1] class_Rings_Ocomm__semiring__1(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))*.
% 299.72/300.48  10873[0:Obv:10872.1] class_Rings_Ocomm__semiring__0(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.72/300.48  10867[0:Obv:10866.1] class_RealVector_Oreal__normed__algebra(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  767[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*+ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> equal(v,u).
% 299.72/300.48  10875[0:Obv:10874.1] class_Groups_Ozero(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.72/300.48  77046[0:MRR:76878.2,76878.4,301.1,230.0] class_Lattices_Oab__semigroup__idem__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,v)* -> hBOOL(v).
% 299.72/300.48  2438[0:SpL:313.1,334.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,v)*.
% 299.72/300.48  24689[4:SpR:13412.1,8769.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Int_Onat__aux(w,u))*.
% 299.72/300.48  12638[0:Rew:12519.0,806.2] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(u,v))),v).
% 299.72/300.48  24465[0:SSi:24453.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,v)) -> SkP1(w,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),v)*.
% 299.72/300.48  56401[0:SpR:2135.1,56396.0] || equal(u,v) -> SkP1(w,u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.48  18497[0:Rew:18347.0,18454.0] ||  -> SkP1(u,skf50(c_Int_Onat__aux(v,skf64(w))),c_Int_Onat__aux(v,skf64(w)))*.
% 299.72/300.48  9638[0:Res:7329.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*+ -> SkP1(w,u,v)*.
% 299.72/300.48  805[0:Inp] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(u,skf62(u,v)))*+ -> hBOOL(hAPP(u,hAPP(c_Int_Onat,w)))*.
% 299.72/300.48  21175[0:SpR:3689.1,3618.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*+ -> SkP1(w,u,v)*.
% 299.72/300.48  12080[0:MRR:12011.1,9533.0] || equal(u,skf64(v)) -> SkP1(w,skf50(skf64(v)),u)*.
% 299.72/300.48  23842[0:SpR:5744.1,23775.0] || equal(skf50(u),v) -> SkP1(w,u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  12060[0:SpR:10413.1,9509.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),skf64(v))*.
% 299.72/300.48  808[0:Inp] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.72/300.48  9511[0:SpR:9368.0,2493.1] || equal(u,skf50(skf64(v))) -> SkP1(w,u,skf64(v))*.
% 299.72/300.48  10869[0:Obv:10868.1] class_Rings_Ocomm__semiring__1(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  61595[4:SpR:12874.1,61587.0] || equal(u,v)*+ -> SkP0(w,skf48(c_fequal(v)))* hBOOL(u)*.
% 299.72/300.48  23769[0:SpR:18862.1,23679.0] ||  -> SkP0(u,skf48(c_fequal(skf50(v))))* SkP1(w,v,skf64(x))*.
% 299.72/300.48  3704[0:Rew:3621.0,2580.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u))**.
% 299.72/300.48  11363[0:SpR:9370.1,11351.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),c_Int_Onat__aux(w,u))*.
% 299.72/300.48  2373[0:SpL:319.0,333.0] || hBOOL(u) -> SkP1(c_Power_Opower_Opower(v,u,w),x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  2439[0:SpL:319.0,334.0] || hBOOL(u) -> SkP2(c_Power_Opower_Opower(v,u,w),x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  111851[18:MRR:18140.0,111803.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(u,v))*.
% 299.72/300.48  3703[0:Rew:3621.0,2581.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))**.
% 299.72/300.48  111850[18:MRR:18139.0,111803.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(u,v))*.
% 299.72/300.48  135818[18:MRR:135815.1,2780.0] || equal(u,skf50(v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,u)*.
% 299.72/300.48  111849[18:MRR:4709.1,111803.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),u)*.
% 299.72/300.48  135768[18:MRR:135765.1,13110.0] || equal(u,skf50(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,u)*.
% 299.72/300.48  3713[0:Rew:3621.0,2599.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)).
% 299.72/300.48  111848[18:MRR:4704.1,111803.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),u)*.
% 299.72/300.48  71409[0:Rew:401.1,71408.1] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  3626[0:SpL:3614.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Int_Onat,skf48(c_fequal(u)),v)*.
% 299.72/300.48  3654[0:Rew:3621.0,2926.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,u))**.
% 299.72/300.48  3714[0:Rew:3621.0,2598.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),u)))*.
% 299.72/300.48  5169[0:SpR:3654.0,3632.0] ||  -> equal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,hAPP(c_Int_Onat,u)))*.
% 299.72/300.48  49304[0:Rew:506.1,49303.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  10413[0:SpL:9368.0,10149.0] || equal(u,skf64(v)) -> equal(skf50(u),skf50(skf64(v)))*.
% 299.72/300.48  2135[0:Rew:276.0,2110.1] || equal(u,v) -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))*.
% 299.72/300.48  12673[0:Rew:12519.0,799.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(hAPP(c_Nat_OSuc,w)))))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.72/300.48  5838[0:SpR:5744.1,3614.0] || equal(u,skf48(c_fequal(v)))*+ -> equal(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  18432[0:Rew:18347.0,18411.0] || equal(skf50(c_Int_Onat__aux(u,skf64(v))),c_Int_Onat__aux(u,skf64(v)))** -> .
% 299.72/300.48  18146[4:SpR:15222.0,8768.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  3627[0:SpL:3614.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(c_Int_Onat,skf48(c_fequal(u)),v)*.
% 299.72/300.48  12726[0:Rew:12519.0,803.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*+ equal(hAPP(c_Int_Onat,u),v)* -> equal(u,skf48(c_fequal(v)))*.
% 299.72/300.48  10416[0:SpR:9887.0,10206.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(v,u,w)*.
% 299.72/300.48  18166[0:SpR:15222.0,15529.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))))*.
% 299.72/300.48  22821[0:SpR:18149.0,22759.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(skf64(w))),v))*.
% 299.72/300.48  22764[0:Rew:3614.0,22730.0,18149.0,22730.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))*.
% 299.72/300.48  1657[0:Rew:601.0,984.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))**.
% 299.72/300.48  11361[0:SpR:2526.0,11351.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),c_Int_Onat__aux(w,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  11419[0:SpR:3749.0,11364.0] ||  -> SkP1(u,skf50(skf64(v)),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w))*.
% 299.72/300.48  43033[4:SSi:43018.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(u,v)))* -> hBOOL(u).
% 299.72/300.48  43048[4:MRR:43042.2,43026.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(u,v)))* -> hBOOL(u).
% 299.72/300.48  753[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))**.
% 299.72/300.48  9386[0:Res:7329.1,1907.0] ||  -> SkP1(u,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(hAPP(c_Nat_OSuc,skf50(v)),v).
% 299.72/300.48  12261[0:SSi:12258.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf60(u),v).
% 299.72/300.48  12260[0:SSi:12250.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  13148[0:SSi:13144.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf48(u),v).
% 299.72/300.48  12958[0:Rew:12519.0,12713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)).
% 299.72/300.48  13147[0:SSi:13137.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  8782[4:MRR:7307.1,8759.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  23963[0:Res:437.0,9638.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  46655[0:SpR:3704.0,3618.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v))*.
% 299.72/300.48  12953[0:Rew:12519.0,12676.0,12519.0,12676.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))**.
% 299.72/300.48  46475[0:SpR:3703.0,3618.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.48  12075[0:SpL:10413.1,9521.0] || equal(u,skf64(v)) equal(skf50(u),skf64(v))* -> .
% 299.72/300.48  55273[0:SpL:2135.1,55205.0] || equal(u,v) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),u)* -> .
% 299.72/300.48  9534[0:SpL:9368.0,2129.1] || equal(u,skf50(skf64(v)))* equal(skf64(v),u) -> .
% 299.72/300.48  12957[0:Rew:12519.0,12712.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.72/300.48  2779[0:Rew:2544.0,2768.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,u,hAPP(c_Nat_OSuc,w))*.
% 299.72/300.48  42157[4:SpR:3709.1,8780.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,u).
% 299.72/300.48  20707[0:EqR:1714.1] class_Rings_Olinordered__ring__strict(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  61109[4:Res:42157.0,426.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.72/300.48  786[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.72/300.48  16882[0:SpR:5744.1,16875.0] || equal(u,v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.72/300.48  19126[0:SpL:18862.1,3635.0] || equal(hAPP(c_Nat_OSuc,u),v)*+ -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  24608[0:SpR:8948.0,23769.1] ||  -> SkP0(u,skf48(c_fequal(skf50(v))))* SkP1(w,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  788[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.72/300.48  19039[0:SpR:18862.1,3623.0] ||  -> SkP0(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.72/300.48  19615[0:SpR:15222.0,19176.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))))))*.
% 299.72/300.48  20457[0:Rew:306.1,20456.1,242.0,20456.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  21263[0:SpR:10150.1,21249.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf45(skf50(u),v),v)**.
% 299.72/300.48  784[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.72/300.48  21788[0:SpR:10150.1,21773.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf44(skf50(u),v),v)**.
% 299.72/300.48  16218[0:SpL:13536.0,12183.0] || hBOOL(hAPP(u,skf47(v)))*+ -> hBOOL(hAPP(u,skf60(u)))*.
% 299.72/300.48  13681[0:SSi:13678.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf47(u),v).
% 299.72/300.48  13680[0:SSi:13674.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  783[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  12380[0:SpL:12099.0,388.0] || hBOOL(hAPP(u,skf57(v)))*+ -> hBOOL(hAPP(u,skf60(u)))*.
% 299.72/300.48  12436[0:SSi:12433.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf57(u),v).
% 299.72/300.48  12435[0:SSi:12429.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  14860[0:SpL:12545.1,9752.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,v),v)** -> .
% 299.72/300.48  785[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  18874[4:SpR:13680.1,18851.0] || equal(skf47(c_COMBI(u)),v)*+ -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  19613[0:SpR:9370.1,19176.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,skf48(c_fequal(c_Int_Onat__aux(w,u))))*.
% 299.72/300.48  15552[0:SpR:9370.1,15529.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.72/300.48  10799[0:SpR:9370.1,10793.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  820[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.72/300.48  10132[0:SpL:9370.1,3051.0] || equal(c_Int_Onat__aux(u,v),skf50(v))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  24444[0:SpR:18711.1,24313.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))* SkP1(w,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  23778[0:Rew:2545.0,23764.1] || equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP1(v,u,skf64(w))*.
% 299.72/300.48  3901[0:SpR:2673.1,3618.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP1(v,u,w)*.
% 299.72/300.48  819[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  131465[19:SoR:10682.1,131462.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  131463[19:SoR:3610.0,131462.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  131466[19:SoR:54468.0,131462.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_fNot))** -> .
% 299.72/300.48  131462[19:Spt:118150.0,118150.2] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*+ -> hBOOL(u)*.
% 299.72/300.48  742[0:Inp] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z),hAPP(hAPP(x,z),hAPP(y,z)))*.
% 299.72/300.48  111846[18:MRR:27377.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.48  111845[18:MRR:27429.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.48  108630[0:MRR:30531.2,42512.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))** -> .
% 299.72/300.48  22559[4:SpR:18347.0,8783.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),skf50(c_Int_Onat__aux(u,skf64(v))))*.
% 299.72/300.48  739[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,w,hAPP(v,x)))*.
% 299.72/300.48  22963[4:SpR:3749.0,22551.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),u)))*.
% 299.72/300.48  22551[4:SpR:18347.0,8780.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))))*.
% 299.72/300.48  22543[4:SpR:18347.0,8769.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf50(c_Int_Onat__aux(v,skf64(u))))*.
% 299.72/300.48  24439[0:SpR:276.0,24313.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.48  713[0:Inp] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),w)),c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,w)))**.
% 299.72/300.48  9621[0:Res:7319.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),v))* -> .
% 299.72/300.48  2537[0:SpL:386.0,381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),hAPP(c_Int_Onat,u)))* -> .
% 299.72/300.48  3629[0:SpL:3614.0,2537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),u))* -> .
% 299.72/300.48  59161[0:SSi:59146.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),skf51(skf64(u),v)))* -> .
% 299.72/300.48  712[0:Inp] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_OAbs__poly(u,c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,w))),hAPP(hAPP(c_Polynomial_OpCons(u),v),w))**.
% 299.72/300.48  42916[0:SSi:42904.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),skf55(skf64(u),v)))* -> .
% 299.72/300.48  59315[0:MRR:59307.1,59154.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),skf51(skf64(u),v)))* -> .
% 299.72/300.48  43006[0:MRR:42999.1,42912.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),skf55(skf64(u),v)))* -> .
% 299.72/300.48  6666[0:Res:437.0,336.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),hAPP(c_Nat_OSuc,u))** -> .
% 299.72/300.48  689[0:Inp] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),x),hAPP(c_Polynomial_Ocoeff(u,w),x))*.
% 299.72/300.48  27897[0:SpR:9368.0,27876.0] ||  -> SkP1(u,skf50(skf64(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.72/300.48  6787[0:SoR:6731.0,5839.1] || equal(u,skf48(c_fNot)) equal(u,skf48(c_COMBI(v)))* -> .
% 299.72/300.48  22978[4:Rew:9887.0,22953.1,2544.0,22953.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf64(v))*.
% 299.72/300.48  9497[0:SpR:9368.0,7319.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),c_Int_Onat__aux(v,skf64(u))))*.
% 299.72/300.48  725[0:Inp] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* equal(w,v).
% 299.72/300.48  11299[0:SpR:3632.0,9514.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,skf64(v))))*.
% 299.72/300.48  11296[0:SpR:3749.0,9514.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),u)))*.
% 299.72/300.48  9514[0:SpR:9368.0,3634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))))*.
% 299.72/300.48  26105[0:Rew:1878.0,26094.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)*+ -> SkP0(u,v)*.
% 299.72/300.48  724[0:Inp] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* equal(w,v).
% 299.72/300.48  26104[0:Rew:1878.0,26092.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)*+ -> SkP0(v,u)*.
% 299.72/300.48  19085[0:SpR:18862.1,3622.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  9385[0:Res:300.1,1907.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(c_Nat_OSuc,skf50(u)),u)**.
% 299.72/300.48  10275[0:SpL:10150.1,9522.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf64(v),skf50(u))*+ -> .
% 299.72/300.48  686[0:Inp] class_Rings_Oidom(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),w),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  10225[4:SpR:10150.1,8761.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.48  10209[0:SpR:10150.1,2376.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.48  10228[4:SpR:10150.1,8764.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.48  10210[0:SpR:10150.1,2442.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.48  687[0:Inp] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.72/300.48  10226[4:SpR:10150.1,8762.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf50(u),v)*.
% 299.72/300.48  10227[4:SpR:10150.1,8763.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),v)*.
% 299.72/300.48  685[0:Inp] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  684[0:Inp] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  736[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)))**.
% 299.72/300.48  699[0:Inp] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  42730[2:SpR:12545.1,42569.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.48  42711[2:SpR:12545.1,42568.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.48  3705[0:Rew:3621.0,2685.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,skf52(u,v))),v)**.
% 299.72/300.48  42684[2:SpR:12545.1,42567.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.48  42664[2:SpR:12545.1,42546.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.48  42626[2:SpR:12545.1,42545.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.48  42607[2:SpR:12545.1,42544.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.48  733[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(u,v).
% 299.72/300.48  42571[2:SpR:12545.1,42543.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.48  42548[2:SpR:12545.1,41970.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.48  41260[2:SpR:12545.1,41052.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf47(v))*.
% 299.72/300.48  41241[2:SpR:12545.1,41051.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf60(v))*.
% 299.72/300.48  3709[0:Rew:3621.0,2584.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u)**.
% 299.72/300.48  41174[2:SpR:12545.1,41050.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf57(v))*.
% 299.72/300.48  41154[2:SpR:12545.1,41029.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(v),u)*.
% 299.72/300.48  41127[2:SpR:12545.1,41028.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(v),u)*.
% 299.72/300.48  41108[2:SpR:12545.1,41027.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(v),u)*.
% 299.72/300.48  690[0:Inp] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  41054[2:SpR:12545.1,41026.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(v),u)*.
% 299.72/300.48  41031[2:SpR:12545.1,40566.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(v))*.
% 299.72/300.48  12545[0:Rew:12519.0,8904.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf48(c_fequal(skf64(u))),u)**.
% 299.72/300.48  25381[0:MRR:25357.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*+ -> SkP0(v,u)*.
% 299.72/300.48  735[0:Inp] || hBOOL(hAPP(u,v))*+ -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.72/300.48  25382[0:MRR:25359.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*+ -> SkP0(u,v)*.
% 299.72/300.48  11888[0:Res:536.1,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*+ -> SkP0(v,u)*.
% 299.72/300.48  25570[0:Res:536.1,25507.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*+ -> SkP0(u,v)*.
% 299.72/300.48  4192[0:SpL:233.0,388.0] || hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Int_Oint)))*+ -> hBOOL(hAPP(u,skf60(u)))*.
% 299.72/300.48  1649[0:Rew:317.0,960.1,417.0,960.1] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(u,hAPP(c_Nat_OSuc,skf55(v,u))))*.
% 299.72/300.48  6279[0:SpL:5744.1,4440.0] || equal(u,skf47(c_COMBI(v)))*+ hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.48  71205[0:SpR:9370.1,70899.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),skf50(u))**.
% 299.72/300.48  70665[0:SpR:9370.1,70381.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),skf50(u))**.
% 299.72/300.48  10120[0:SpL:9370.1,2268.0] || equal(hAPP(c_Nat_OSuc,u),skf50(u))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  740[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.72/300.48  10083[0:SpR:9370.1,2030.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),u))*.
% 299.72/300.48  3132[0:Rew:2545.0,3113.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,v),u)* -> .
% 299.72/300.48  2803[0:Rew:2545.0,2791.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.48  20576[0:SpL:18711.1,20514.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP0(v,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))*.
% 299.72/300.48  693[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.72/300.48  6848[0:SpL:3632.0,3734.0] || equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  6936[0:SpR:3654.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  23841[0:SpR:2117.1,23775.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf50(u)) -> SkP1(v,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  15398[0:EqR:498.1] class_Groups_Ozero(u) ||  -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  695[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.72/300.48  18212[0:SpL:15222.0,6751.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  25507[0:MRR:25491.2,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*+ -> SkP0(u,v)*.
% 299.72/300.48  4191[0:SpL:235.0,388.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*+ -> hBOOL(hAPP(u,skf60(u)))*.
% 299.72/300.48  118137[18:SpR:3622.0,111832.1] || equal(skf48(c_fequal(u)),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  692[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.72/300.48  127202[18:Res:111847.0,333.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),u,skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)))*.
% 299.72/300.48  127201[18:Res:111847.0,334.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),u,skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)))*.
% 299.72/300.48  111847[18:MRR:54086.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))))*.
% 299.72/300.48  111844[18:MRR:4703.1,111803.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  694[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.72/300.48  111843[18:MRR:4708.1,111803.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  111842[18:MRR:10258.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  111841[18:MRR:36432.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  20591[8:SpR:3614.0,19779.1] || equal(hAPP(c_Nat_OSuc,skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u).
% 299.72/300.48  700[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  18225[0:Rew:15222.0,18194.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  28333[0:Res:382.1,9640.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),u)** -> .
% 299.72/300.48  5906[0:SpR:5744.1,3963.0] || equal(u,hAPP(c_Int_Onat,skf48(c_Int_Onat)))*+ -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  18256[4:SpR:2526.0,18147.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  1656[0:Rew:219.0,983.2,219.0,983.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  61146[4:SpR:9487.0,61086.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))))*.
% 299.72/300.48  9619[0:Res:7318.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),u))* -> .
% 299.72/300.48  18292[4:SpR:3749.0,18259.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))*.
% 299.72/300.48  4392[0:SpR:3996.0,3731.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  1650[0:Rew:219.0,962.2,219.0,962.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  11093[0:SpL:9368.0,10790.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf64(u))),skf50(skf64(u)))** -> .
% 299.72/300.48  18661[0:Res:18525.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.48  61138[4:MRR:61090.2,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u)*.
% 299.72/300.48  5907[0:SpR:5744.1,3587.0] || equal(u,hAPP(c_Int_Onat,skf48(c_fNot)))*+ -> hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.48  617[0:Inp] class_Groups_Ozero(u) ||  -> equal(v,w) equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  58434[4:SpR:5744.1,58315.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))*.
% 299.72/300.48  54404[4:MRR:53956.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.72/300.48  54406[4:MRR:53984.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))))*.
% 299.72/300.48  616[0:Inp] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w),x)**.
% 299.72/300.48  54147[0:Res:16875.0,51176.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))*.
% 299.72/300.48  54125[0:Res:222.0,51176.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))*.
% 299.72/300.48  58532[0:Res:55206.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.48  603[0:Inp] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(c_Polynomial_Opoly(u,v),c_Polynomial_Opoly(u,w))* -> equal(v,w).
% 299.72/300.48  55206[0:Res:54158.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.48  4896[0:SSi:4874.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))*.
% 299.72/300.48  604[0:Inp] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,w) -> equal(c_Polynomial_Opoly(u,v),c_Polynomial_Opoly(u,w))*.
% 299.72/300.48  16419[0:SpR:12498.0,16274.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))))*.
% 299.72/300.48  16274[0:Res:149.0,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))))*.
% 299.72/300.48  5840[0:SpR:5744.1,3963.0] || equal(u,skf48(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)))*.
% 299.72/300.48  5837[0:SpR:5744.1,3587.0] || equal(u,skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,u)))*.
% 299.72/300.48  648[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.72/300.48  19575[0:AED:109.0,19572.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))))*.
% 299.72/300.48  3549[0:Res:248.0,384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))))*.
% 299.72/300.48  3537[0:Res:149.0,384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.72/300.48  3536[0:Res:150.0,384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))))*.
% 299.72/300.48  655[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.72/300.48  6866[0:SpR:3614.0,5840.1] || equal(skf48(c_fequal(u)),skf48(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  19779[8:SpR:9887.0,19252.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  20513[0:Res:19575.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))))*.
% 299.72/300.48  7330[0:Res:3549.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))))*.
% 299.72/300.48  647[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.72/300.48  18125[0:SpR:15222.0,1881.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  9494[0:SpR:9368.0,7318.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),hAPP(c_Nat_OSuc,skf64(u))))*.
% 299.72/300.48  63055[0:MRR:63052.0,2052.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.72/300.48  63096[0:SpR:3614.0,63055.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.48  653[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.72/300.48  26285[0:Res:26052.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.48  26072[0:Res:26032.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.72/300.48  26052[0:SpR:3614.0,26032.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.48  26032[0:Res:3549.0,642.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.72/300.48  607[0:Inp] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Opoly(u,v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  2871[0:SpR:2526.0,248.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  6728[0:SpR:3614.0,5837.1] || equal(skf48(c_fequal(u)),skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.48  615[0:Inp] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  28644[0:SpR:12553.0,28557.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf48(v)))*.
% 299.72/300.48  28717[0:SpR:12553.0,28559.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf60(v)))*.
% 299.72/300.48  28557[0:SpR:12551.0,12880.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf48(v)))*.
% 299.72/300.48  28559[0:SpR:12553.0,12880.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf60(v)))*.
% 299.72/300.48  608[0:Inp] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  77785[16:SpR:9887.0,77750.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  2436[0:SpL:347.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  2370[0:SpL:347.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  2435[0:SpL:318.0,334.0] || hBOOL(hAPP(c_Nat_OSuc,u)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  609[0:Inp] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  2422[0:SpL:317.0,334.0] || hBOOL(hAPP(c_Nat_OSuc,u)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  2369[0:SpL:318.0,333.0] || hBOOL(hAPP(c_Nat_OSuc,u)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  2356[0:SpL:317.0,333.0] || hBOOL(hAPP(c_Nat_OSuc,u)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  55642[0:SpL:12553.0,55402.0] || equal(skf60(u),skf49(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,skf60(u)))*.
% 299.72/300.48  613[0:Inp] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  10269[0:SpL:10150.1,1844.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf50(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> .
% 299.72/300.48  19311[8:SpL:10150.1,19251.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf48(c_fNot))**+ -> .
% 299.72/300.48  54536[4:SpL:10150.1,54474.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf49(c_fNot))**+ -> .
% 299.72/300.48  612[0:Inp] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  72120[2:SSi:72053.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))))*.
% 299.72/300.48  51177[8:SpL:10150.1,51120.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf46(c_Int_Onat))**+ -> .
% 299.72/300.48  28560[0:SpR:12664.0,12880.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf47(v)))*.
% 299.72/300.48  28747[0:SpR:12553.0,28560.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf47(v)))*.
% 299.72/300.48  619[0:Inp] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  28748[0:SpR:12664.0,28560.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf47(v)))*.
% 299.72/300.48  49238[8:Rew:48262.0,49170.1] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> equal(skf47(c_Int_Onat),u).
% 299.72/300.48  28645[0:SpR:12664.0,28557.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf48(v)))*.
% 299.72/300.48  28718[0:SpR:12664.0,28559.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf60(v)))*.
% 299.72/300.48  606[0:Inp] class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  16420[0:SpR:13536.0,16274.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))))*.
% 299.72/300.48  28558[0:SpR:12552.0,12880.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf57(v)))*.
% 299.72/300.48  28677[0:SpR:12552.0,28558.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf57(v)))*.
% 299.72/300.48  28678[0:SpR:12553.0,28558.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf57(v)))*.
% 299.72/300.48  605[0:Inp] class_Rings_Ocomm__semiring__0(u) || equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.72/300.48  28679[0:SpR:12664.0,28558.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf57(v)))*.
% 299.72/300.48  19409[8:SpL:10150.1,19402.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf57(c_Int_Onat))*+ -> .
% 299.72/300.48  28643[0:SpR:12552.0,28557.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf48(v)))*.
% 299.72/300.48  28716[0:SpR:12552.0,28559.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf60(v)))*.
% 299.72/300.48  12641[0:Rew:12519.0,681.1] || hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))*+ equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(u,w))*.
% 299.72/300.48  28746[0:SpR:12552.0,28560.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf47(v)))*.
% 299.72/300.48  55641[0:SpL:12552.0,55402.0] || equal(skf57(u),skf49(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,skf57(u)))*.
% 299.72/300.48  16418[0:SpR:12341.0,16274.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))))*.
% 299.72/300.48  58011[2:SpR:5744.1,57986.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))*.
% 299.72/300.48  632[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> equal(v,u).
% 299.72/300.48  11519[0:SSi:11501.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u).
% 299.72/300.48  2170[0:SpL:233.0,343.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  12589[0:Rew:12519.0,2070.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.48  3620[0:SpR:3614.0,2170.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  659[0:Inp] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))*.
% 299.72/300.48  40607[2:SpR:12545.1,40570.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  11817[2:SpR:8904.1,11798.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  2330[0:SpL:225.0,333.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  2396[0:SpL:225.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  683[0:Inp] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  57264[0:SpR:9370.1,57133.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf51(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  27129[0:Obv:27110.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  2257[0:SpL:219.0,315.0] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u).
% 299.72/300.48  2117[0:SpR:316.1,219.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  618[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  63796[2:SpR:63770.1,2525.0] || equal(u,skf49(c_fNot)) -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  6937[0:SpR:3622.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  2403[0:SpL:219.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP2(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.48  57266[0:SpR:15222.0,57133.0] ||  -> equal(skf51(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  614[0:Inp] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.72/300.48  71839[4:SSi:71749.1,8759.0] hBOOL(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_fconj,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  56140[0:SpR:5744.1,55758.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))*.
% 299.72/300.48  16996[0:Rew:4622.0,16974.1] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u).
% 299.72/300.48  16659[0:Rew:4622.0,16610.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  3730[0:Rew:3621.0,2622.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.72/300.48  2169[0:SpL:235.0,343.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  52145[2:SSi:52134.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  3619[0:SpR:3614.0,2169.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  18204[0:SpL:15222.0,4822.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  3740[0:Rew:3621.0,2631.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)).
% 299.72/300.48  42289[2:SpR:12545.1,41976.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42412[2:SpR:12545.1,41989.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  40940[2:SpR:12545.1,40585.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  40723[2:SpR:12545.1,40572.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  3721[0:Rew:3621.0,2605.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.72/300.48  52901[2:SSi:52889.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  2331[0:SpL:224.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  2397[0:SpL:224.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  122640[18:SpL:12664.0,114152.0] || equal(skf49(c_Nat_OSuc),skf47(u))*+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  3722[0:Rew:3621.0,2611.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.72/300.48  122639[18:SpL:12552.0,114152.0] || equal(skf57(u),skf49(c_Nat_OSuc))**+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  620[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  114153[18:Res:111821.1,12183.0] || equal(skf60(u),skf49(c_Nat_OSuc))**+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  122642[18:SpL:12609.0,114152.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  12933[0:Rew:12519.0,12677.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))),v),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))))**.
% 299.72/300.48  122641[18:SpL:12610.0,114152.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  114152[18:Res:111821.1,12538.0] || equal(skf49(c_Nat_OSuc),skf48(u))*+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  111840[18:MRR:16219.1,111803.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf60(u))*+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  111839[18:MRR:17067.1,111803.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(u))*+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  12783[0:Rew:12519.0,674.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))).
% 299.72/300.48  111838[18:MRR:17280.1,111803.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf48(u))*+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  111837[18:MRR:20990.1,111803.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf47(u))*+ -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  3092[0:Rew:2544.0,3076.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.48  650[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.72/300.48  4336[0:SpL:2526.0,383.0] || hBOOL(c_Int_Onat__aux(skf47(c_Nat_OSuc),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*+ -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  12934[0:Rew:12519.0,12707.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.72/300.48  49086[8:SpR:48262.0,8780.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(skf47(c_Int_Onat),u))*.
% 299.72/300.48  49187[8:SpL:48262.0,9538.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u)),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.48  73457[4:MRR:73415.1,8759.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  73459[4:MRR:73417.1,8759.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  12937[0:Rew:12519.0,12710.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.72/300.48  73460[4:MRR:73418.1,8759.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  73458[4:MRR:73416.1,8759.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  12146[0:SpR:12098.0,6598.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(u)))*.
% 299.72/300.48  12345[0:SpR:12099.0,6598.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf57(u)))*.
% 299.72/300.48  682[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))**.
% 299.72/300.48  12502[0:SpR:12100.0,6598.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(u)))*.
% 299.72/300.48  14413[0:SpR:13536.0,12146.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf47(u)))*.
% 299.72/300.48  25812[0:SpR:12551.0,12860.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(u)))*.
% 299.72/300.48  25813[0:SpR:12552.0,12860.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf57(u)))*.
% 299.72/300.48  12782[0:Rew:12519.0,673.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.72/300.48  25814[0:SpR:12553.0,12860.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(u)))*.
% 299.72/300.48  25815[0:SpR:12664.0,12860.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf47(u)))*.
% 299.72/300.48  12135[0:SpR:12098.0,6588.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  12334[0:SpR:12099.0,6588.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  12938[0:Rew:12519.0,12711.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.72/300.48  12491[0:SpR:12100.0,6588.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  14395[0:SpR:13536.0,12135.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  64662[0:Res:64590.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.48  64775[0:SSi:64765.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf64(u)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.48  12935[0:Rew:12519.0,12708.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.72/300.48  74160[0:SSi:74128.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  74161[0:SSi:74129.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  74162[0:SSi:74130.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  74163[0:SSi:74152.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  651[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  9504[0:SpR:9368.0,6938.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  28286[0:SpL:9487.0,28279.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  64590[0:SSi:64567.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.48  12133[0:SpR:12098.0,391.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  642[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.72/300.48  12332[0:SpR:12099.0,391.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  12489[0:SpR:12100.0,391.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  14377[0:SpR:13536.0,12133.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  25770[0:SpL:9368.0,12686.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf64(u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  3744[0:Rew:3621.0,2636.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  51920[0:Res:827.2,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  68942[0:SpL:9368.0,64130.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf64(u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  118126[18:SpR:2544.0,111832.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  3742[0:Rew:3621.0,2638.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  53582[2:SoR:3610.0,52288.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,skf48(c_fNot)))** -> .
% 299.72/300.48  5017[0:MRR:5016.0,147.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  79635[2:Res:52296.1,39778.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.72/300.48  79634[2:Res:52296.1,38559.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.72/300.48  3741[0:Rew:3621.0,2639.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  50365[8:SpL:8948.0,49187.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.48  49472[8:SpL:49081.0,26073.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  66482[8:Rew:48262.0,66427.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  73456[4:MRR:73406.1,8759.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  1640[0:Rew:219.0,769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))*.
% 299.72/300.48  4017[0:SpR:2170.1,3963.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  8229[0:SpR:233.0,6588.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  73425[2:Res:53616.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  25447[0:Res:3549.0,1641.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  1641[0:Rew:219.0,768.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.72/300.48  73427[2:Res:53797.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  25467[0:Res:25447.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  26080[0:Rew:1878.0,26064.0,224.0,26064.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  4986[0:Res:149.0,4192.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  1911[0:Rew:1878.0,641.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))*.
% 299.72/300.48  25816[0:SpR:12609.0,12860.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  4544[0:SpL:1878.0,4510.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  19261[8:MRR:4954.1,19256.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.48  71127[0:Rew:294.0,71017.1] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  12816[0:Rew:12519.0,1906.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.72/300.48  54586[0:MRR:54571.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  42319[0:SpR:687.1,294.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  54979[0:MRR:54978.1,149.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  73426[2:Res:51878.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  563[0:Inp] class_Groups_Ozero(u) || equal(c_Polynomial_Omonom(u,v,w),c_Polynomial_Omonom(u,x,w))* -> equal(v,x).
% 299.72/300.48  28836[0:Res:474.1,28826.0] || equal(hAPP(c_Int_Onat,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  11853[0:Res:4991.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  73424[2:Res:51877.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  26077[0:Rew:1878.0,26046.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  564[0:Inp] class_Groups_Ozero(u) || equal(v,w) -> equal(c_Polynomial_Omonom(u,v,x),c_Polynomial_Omonom(u,w,x))*.
% 299.72/300.48  55281[0:Res:54184.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  56661[0:Res:474.1,55634.0] || equal(hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  2449[0:SpR:233.0,391.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  4868[0:Res:149.0,4191.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  556[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))*.
% 299.72/300.48  8517[0:Rew:233.0,8502.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  77568[0:Res:19551.1,38559.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  77646[0:Res:19551.1,39778.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  24692[0:SpR:13412.1,2527.0] || equal(u,v) -> SkP1(w,v,c_Int_Onat__aux(x,u))*.
% 299.72/300.48  555[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))*.
% 299.72/300.48  2394[0:SpL:210.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_COMBI(w),u,v)*.
% 299.72/300.48  2328[0:SpL:210.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(c_COMBI(w),u,v)*.
% 299.72/300.48  24635[0:SSi:24634.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_fequal(u),v))*+ -> SkP1(w,u,v)*.
% 299.72/300.48  18152[0:SpR:15222.0,2491.0] ||  -> SkP1(u,c_Int_Onat__aux(v,w),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.48  583[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.72/300.48  2493[0:SpR:316.1,2491.0] || equal(u,v) -> SkP1(w,u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  7329[0:Res:301.0,426.0] ||  -> SkP1(u,v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.72/300.48  21770[0:MRR:21677.0,19039.1] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(skf44(v,w),w)**.
% 299.72/300.48  21246[0:MRR:21174.0,19039.1] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(skf45(v,w),w)**.
% 299.72/300.48  570[0:Inp] class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> equal(v,w).
% 299.72/300.48  38534[0:Obv:38508.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))* -> .
% 299.72/300.48  3254[0:Res:395.2,334.0] hBOOL(u) hBOOL(v) ||  -> SkP2(c_fconj,u,v)*.
% 299.72/300.48  63770[2:SoR:54468.0,52587.1] || equal(u,skf49(c_fNot)) -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  10149[0:MRR:10122.1,3132.0] || equal(u,hAPP(c_Nat_OSuc,v))*+ -> equal(skf50(u),v)*.
% 299.72/300.48  594[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w),v)**.
% 299.72/300.48  3255[0:Res:395.2,333.0] hBOOL(u) hBOOL(v) ||  -> SkP1(c_fconj,u,v)*.
% 299.72/300.48  22358[0:SpR:9368.0,18166.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,skf64(x))))*.
% 299.72/300.48  22563[0:SpR:18347.0,2528.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),skf50(c_Int_Onat__aux(v,skf64(w))))*.
% 299.72/300.48  22546[0:SpR:18347.0,2527.0] ||  -> SkP1(u,skf50(skf64(v)),skf50(c_Int_Onat__aux(w,skf64(v))))*.
% 299.72/300.48  595[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),w),v)**.
% 299.72/300.48  22759[0:Rew:3614.0,22716.0] ||  -> SkP1(u,v,skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),v)))*.
% 299.72/300.48  22567[0:SpR:18347.0,3618.0] ||  -> SkP1(u,v,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))*.
% 299.72/300.48  23766[0:SpR:3749.0,23679.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(skf64(w))),skf50(v)))*.
% 299.72/300.48  23679[0:MRR:23664.0,2780.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(skf50(v))),skf64(w)))*.
% 299.72/300.48  561[0:Inp] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> equal(v,w).
% 299.72/300.48  61666[0:SpR:418.0,61619.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(w)),v))*.
% 299.72/300.48  61619[0:SpR:9368.0,46475.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(w)))*.
% 299.72/300.48  2129[0:SpL:316.1,146.0] || equal(u,v) equal(hAPP(c_Nat_OSuc,v),u)* -> .
% 299.72/300.48  23670[0:Rew:2526.0,23649.0] ||  -> SkP1(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,skf64(w)))*.
% 299.72/300.48  599[0:Inp] class_Groups_Oab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,w).
% 299.72/300.48  9517[0:SpR:9368.0,2779.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,u,skf64(w))*.
% 299.72/300.48  5792[0:SpR:5744.1,211.1] || equal(u,v)*+ -> hBOOL(v)* hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.48  16808[0:SpL:12498.0,16589.0] || equal(skf48(u),v)*+ -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  16589[0:SpR:12260.1,2050.0] || equal(skf60(u),v)*+ -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  596[0:Inp] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,w).
% 299.72/300.48  43025[4:Res:41857.1,426.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.72/300.48  5747[0:SpR:5744.1,150.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.48  41857[4:MRR:41856.0,8759.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.72/300.48  19127[0:SpL:18862.1,9538.0] || equal(skf64(u),v)*+ -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  567[0:Inp] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  19042[4:SpR:18862.1,8780.0] ||  -> SkP0(u,skf48(c_fequal(v)))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,w)*.
% 299.72/300.48  23327[0:SpR:9368.0,19615.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,skf64(x))))))*.
% 299.72/300.48  10206[0:SpR:10150.1,1981.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(v,skf50(u),w)*.
% 299.72/300.48  16809[0:SpL:13536.0,16589.0] || equal(skf47(u),v)*+ -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  558[0:Inp] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),w)**.
% 299.72/300.48  16807[0:SpL:12341.0,16589.0] || equal(skf57(u),v)*+ -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  62170[0:SpR:52082.1,9887.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf51(u,u),skf50(u))**.
% 299.72/300.48  21778[0:MRR:21777.1,2803.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(skf44(u,v),v)**.
% 299.72/300.48  21254[0:MRR:21253.1,2803.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(skf45(u,v),v)**.
% 299.72/300.48  597[0:Inp] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  21250[0:MRR:21200.0,300.1] || equal(u,v) -> equal(skf45(v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  21774[0:MRR:21703.0,300.1] || equal(u,v) -> equal(skf44(v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  2673[0:Rew:2545.0,2672.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  111835[18:MRR:9205.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),u,v)*.
% 299.72/300.48  598[0:Inp] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  111834[18:MRR:9206.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),u,v)*.
% 299.72/300.48  111826[18:MRR:9008.1,111803.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),v,u)*.
% 299.72/300.48  111825[18:MRR:9009.1,111803.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),v,u)*.
% 299.72/300.48  5839[0:SpR:5744.1,3903.0] || equal(u,skf48(c_COMBI(v)))*+ -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  560[0:Inp] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*+ -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v)*.
% 299.72/300.48  15440[4:SpR:9368.0,15420.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),c_Int_Onat__aux(v,skf64(u)))*.
% 299.72/300.48  15581[0:SpR:3749.0,15553.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w))*.
% 299.72/300.48  15550[0:SpR:2526.0,15529.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  62997[0:SpR:9368.0,62985.0] ||  -> SkP1(u,skf50(skf64(v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v))))*.
% 299.72/300.48  566[0:Inp] class_Groups_Ozero(u) || equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  56402[0:SpR:9487.0,56396.0] ||  -> SkP1(u,skf50(skf64(v)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))))*.
% 299.72/300.48  27876[0:Res:7339.0,9638.0] ||  -> SkP1(u,v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  63293[0:MRR:63273.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),v)*.
% 299.72/300.48  55466[0:MRR:55461.2,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),v)*.
% 299.72/300.48  557[0:Inp] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  5413[0:Rew:305.1,5405.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  19585[6:SpR:9887.0,18992.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**+ -> SkP0(u,v)*.
% 299.72/300.48  19598[7:SpR:9887.0,19029.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**+ -> SkP0(v,u)*.
% 299.72/300.48  59153[0:Res:59127.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf51(skf64(u),v)),skf64(u)))*.
% 299.72/300.48  576[0:Inp] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w))*.
% 299.72/300.48  42911[0:Res:41849.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(skf64(u),v)),skf64(u)))*.
% 299.72/300.48  2524[0:SpR:386.0,321.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,v)))*.
% 299.72/300.48  3623[0:SpR:3614.0,2524.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.72/300.48  7319[0:Res:2750.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.48  590[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))**.
% 299.72/300.48  59127[0:MRR:59109.1,1844.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf64(u),v)),skf64(u)))*.
% 299.72/300.48  41849[0:MRR:41766.0,1936.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf64(u),v)),skf64(u)))*.
% 299.72/300.48  2750[0:SpR:276.0,2523.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.48  14876[2:SpR:12553.0,12776.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),skf60(v)))*.
% 299.72/300.48  3690[0:Rew:3621.0,2653.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(u,v)),v)**.
% 299.72/300.48  14874[2:SpR:12551.0,12776.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),skf48(v)))*.
% 299.72/300.48  63691[4:SoR:54468.0,61595.2] || equal(skf49(c_fNot),u) -> SkP0(v,skf48(c_fequal(u)))*.
% 299.72/300.48  19655[0:SpR:3749.0,19614.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w))))*.
% 299.72/300.48  19611[0:SpR:2526.0,19176.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.48  6391[0:MRR:3673.0,5924.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))*+ -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),v)*.
% 299.72/300.48  11201[0:SpL:9385.1,146.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*+ equal(skf50(u),u)** -> .
% 299.72/300.48  72119[0:SSi:72051.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v)*.
% 299.72/300.48  80212[4:MRR:80187.1,8759.0] || equal(skf48(u),skf46(c_Int_Onat)) -> SkP0(v,skf48(u))*.
% 299.72/300.48  80237[4:Rew:12553.0,80227.0] || equal(skf60(u),skf46(c_Int_Onat)) -> SkP0(v,skf60(u))*.
% 299.72/300.48  585[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(u,v).
% 299.72/300.48  14877[2:SpR:12664.0,12776.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),skf47(v)))*.
% 299.72/300.48  18875[4:SpR:5744.1,18853.0] || equal(skf47(c_Int_Onat),u) -> SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.72/300.48  8819[4:SpR:5744.1,8787.0] || equal(skf47(c_Int_Onat),u) -> SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  19845[4:SpR:3614.0,18875.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))**+ -> SkP0(v,u)*.
% 299.72/300.48  579[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(u,v).
% 299.72/300.48  9129[4:SpR:3614.0,8819.1] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))**+ -> SkP0(u,v)*.
% 299.72/300.48  80238[4:Rew:12664.0,80228.0] || equal(skf47(u),skf46(c_Int_Onat)) -> SkP0(v,skf47(u))*.
% 299.72/300.48  14875[2:SpR:12552.0,12776.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),skf57(v)))*.
% 299.72/300.48  80236[4:Rew:12552.0,80226.0] || equal(skf57(u),skf46(c_Int_Onat)) -> SkP0(v,skf57(u))*.
% 299.72/300.48  568[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))* -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  26605[2:SpR:12545.1,26577.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),u,v)*.
% 299.72/300.48  26681[2:SpR:12545.1,26578.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),u,v)*.
% 299.72/300.48  9234[0:SpR:8904.1,4606.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf60(c_fequal(u)),u)**.
% 299.72/300.48  9223[0:SpR:8904.1,282.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),u)**.
% 299.72/300.48  565[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  11908[0:Res:378.1,11888.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* SkP0(v,u)*.
% 299.72/300.48  25418[0:SSi:25413.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* SkP0(u,v)*.
% 299.72/300.48  18628[0:SSi:18575.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* SkP0(v,u)*.
% 299.72/300.48  25611[0:SSi:25603.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* SkP0(u,v)*.
% 299.72/300.48  553[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  5412[0:Rew:306.1,5404.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  13110[4:Rew:2545.0,13061.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v)*.
% 299.72/300.48  10098[4:SpR:9370.1,8768.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),u)*.
% 299.72/300.48  9111[4:MRR:9100.1,8759.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,v)*.
% 299.72/300.48  554[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  9170[4:MRR:9159.1,8759.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,u)*.
% 299.72/300.48  9171[4:MRR:9160.1,8759.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,u)*.
% 299.72/300.48  9533[0:SpL:9368.0,3132.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*+ equal(skf64(v),u)* -> .
% 299.72/300.48  9370[0:Res:1909.0,1907.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf50(u)),u)**.
% 299.72/300.48  3710[0:Rew:3621.0,2679.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.72/300.48  20796[0:SpL:9368.0,18212.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,skf64(w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  18629[0:SSi:18605.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* SkP0(v,u)*.
% 299.72/300.48  3279[0:Res:378.0,327.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* SkP0(u,v)*.
% 299.72/300.48  18627[0:SSi:18572.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* SkP0(u,v)*.
% 299.72/300.48  601[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))**.
% 299.72/300.48  114146[18:SpR:9368.0,111821.1] || equal(skf50(skf64(u)),skf49(c_Nat_OSuc))** -> hBOOL(skf64(u)).
% 299.72/300.48  111833[18:MRR:24757.1,111803.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(c_Int_Onat__aux(skf48(c_Nat_OSuc),u))*.
% 299.72/300.48  111832[18:MRR:7505.1,111803.0] || equal(skf48(c_Nat_OSuc),u) -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  111831[18:MRR:4712.0,111803.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))*.
% 299.72/300.48  580[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))* -> .
% 299.72/300.48  111830[18:MRR:4707.0,111803.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))*.
% 299.72/300.48  111829[18:MRR:51585.2,111803.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  6731[0:Res:5837.1,259.1] hBOOL(hAPP(c_Int_Onat,u)) || equal(u,skf48(c_fNot))* -> .
% 299.72/300.48  20112[0:SpL:9368.0,18225.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  1629[0:Rew:276.0,715.1] || hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.72/300.48  9487[0:SpR:9368.0,276.0] ||  -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(skf64(u))),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))**.
% 299.72/300.48  56412[0:SpL:9368.0,56386.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))),skf50(skf64(u)))** -> .
% 299.72/300.48  55274[0:SpL:9487.0,55205.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),skf50(skf64(u)))** -> .
% 299.72/300.48  75578[4:SpR:12498.0,75566.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))))*.
% 299.72/300.48  1630[0:Rew:276.0,714.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v))*.
% 299.72/300.48  75566[4:Res:42157.0,16430.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))))*.
% 299.72/300.48  75342[4:Res:42157.0,9639.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.48  74566[4:Res:61109.1,28283.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.48  31407[4:MRR:10091.1,13110.0] || hBOOL(skf50(u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  575[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))))*.
% 299.72/300.48  18147[4:SpR:15222.0,8771.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  55215[0:SSi:55197.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u))* -> .
% 299.72/300.48  55181[0:Res:54123.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u))* -> .
% 299.72/300.48  9527[0:SpL:9368.0,2481.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),skf50(skf64(u))))* -> .
% 299.72/300.48  587[0:Inp] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  10006[0:SpL:9487.0,230.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),skf50(skf64(u))))* -> .
% 299.72/300.48  55613[0:MRR:55607.1,55205.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u))* -> .
% 299.72/300.48  10147[0:MRR:10090.1,2780.0] || hBOOL(skf50(u)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  15468[4:SpR:9368.0,15442.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),hAPP(c_Nat_OSuc,skf64(u)))*.
% 299.72/300.48  591[0:Inp] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.72/300.48  23668[0:Rew:2544.0,23644.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,skf64(v)))*.
% 299.72/300.48  55391[0:SoR:6731.0,54454.1] || equal(u,skf48(c_fNot)) equal(skf49(c_Int_Onat),u)* -> .
% 299.72/300.48  64456[4:Obv:64368.2] || equal(u,skf49(c_fNot))* equal(u,skf48(c_fNot)) -> .
% 299.72/300.48  6785[0:SoR:6731.0,5848.1] || equal(u,skf48(c_fNot)) equal(u,skf60(c_Int_Onat))* -> .
% 299.72/300.48  593[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  52288[2:Rew:1878.0,52233.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)*+ -> hBOOL(u)*.
% 299.72/300.48  18525[0:SpR:9368.0,18125.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,skf64(v))))*.
% 299.72/300.48  7318[0:Res:2032.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.48  2032[0:SpR:276.0,2030.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.48  21720[0:Rew:21719.1,21243.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u).
% 299.72/300.48  40072[0:SpR:266.0,40052.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))*.
% 299.72/300.48  40052[0:Res:16875.0,695.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.48  61143[4:SpR:276.0,61085.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.48  10268[0:SpL:10150.1,109.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*+ equal(skf50(u),skc4)** -> .
% 299.72/300.48  1620[0:Rew:414.0,573.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  19252[8:SpR:10150.1,19248.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Int_Onat,skf50(u)))*.
% 299.72/300.48  77750[16:SpR:10150.1,77749.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf50(u)))*.
% 299.72/300.48  64438[4:MRR:64372.2,8759.0] || equal(u,skf49(c_fNot))* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  55415[0:Res:54454.1,51113.1] || equal(skf49(c_Int_Onat),u)* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  495[0:Inp] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),skf36(u,v)),v)**.
% 299.72/300.48  51604[0:Res:5848.1,51113.1] || equal(u,skf60(c_Int_Onat))* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  51113[0:SpL:5744.1,50957.0] || equal(skf46(c_Int_Onat),u) hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.48  51588[0:SpL:3614.0,51113.1] || equal(skf48(c_fequal(u)),skf46(c_Int_Onat))** hBOOL(u) -> .
% 299.72/300.48  51608[0:Res:10603.1,51113.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat),skf46(c_Int_Onat))** -> .
% 299.72/300.48  525[0:Inp] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))*.
% 299.72/300.48  52532[4:SoR:10682.1,52290.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),skf46(c_Int_Onat))** -> .
% 299.72/300.48  51603[3:Res:5849.1,51113.1] || equal(u,skf47(c_fNot))* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  6786[3:SoR:6731.0,5849.1] || equal(u,skf48(c_fNot))* equal(u,skf47(c_fNot)) -> .
% 299.72/300.48  69449[8:Obv:69427.2] || equal(u,skf49(c_fNot))* equal(skf47(c_Int_Onat),u) -> .
% 299.72/300.48  515[0:Inp] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.72/300.48  27451[0:Res:5840.1,6276.1] || equal(u,skf48(c_Int_Onat))* equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.48  49116[8:SpR:48262.0,3618.0] ||  -> SkP1(u,skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(skf47(c_Int_Onat),v))*.
% 299.72/300.48  69454[8:SoR:10682.1,69440.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),skf47(c_Int_Onat))** -> .
% 299.72/300.48  75579[4:SpR:13536.0,75566.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))))*.
% 299.72/300.48  506[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  75577[4:SpR:12341.0,75566.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))))*.
% 299.72/300.48  64060[2:Obv:63914.2] || equal(u,skf49(c_fNot)) equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* -> .
% 299.72/300.48  9266[0:Rew:2170.1,9221.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))*+ -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf64(u))*.
% 299.72/300.48  10687[2:SoR:10682.1,9233.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  505[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  14878[2:SpR:12609.0,12776.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  16178[0:SSi:16171.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)** -> .
% 299.72/300.48  16194[0:SpL:414.0,16178.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),u)** -> .
% 299.72/300.48  22515[0:SSi:22502.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)** -> .
% 299.72/300.48  550[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.72/300.48  52308[2:MRR:52178.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(u).
% 299.72/300.48  53554[2:Res:536.1,52144.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(u).
% 299.72/300.48  10099[4:SpR:9370.1,8771.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  2145[0:SpL:219.0,2129.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> .
% 299.72/300.48  3754[0:Rew:3621.0,3691.1] || equal(u,v) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.72/300.48  70214[8:Obv:70202.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(u,skf57(c_Int_Onat)) -> .
% 299.72/300.48  51601[8:Res:19253.1,51113.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  19315[8:SoR:6731.0,19253.1] || equal(u,skf48(c_fNot)) equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* -> .
% 299.72/300.48  503[0:Inp] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  57475[2:Res:52145.1,475.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  6762[0:SpL:2526.0,6751.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  9645[0:SpL:3749.0,9537.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  10150[0:MRR:10123.1,2145.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf50(u))*.
% 299.72/300.48  502[0:Inp] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  10688[4:SoR:10682.1,10316.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  38953[10:SpR:266.0,38833.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(u).
% 299.72/300.48  58636[0:SpR:9368.0,57266.0] ||  -> equal(skf51(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  51414[2:MRR:51413.0,12497.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(u).
% 299.72/300.48  510[0:Inp] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.72/300.48  52144[2:SSi:52131.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(u).
% 299.72/300.48  51620[4:MRR:51587.2,8759.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(skf46(c_Int_Onat),u) -> .
% 299.72/300.48  28431[4:Obv:28416.2] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(u,skf48(c_fNot)) -> .
% 299.72/300.48  27464[8:MRR:27438.2,19248.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.48  526[0:Inp] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))))*.
% 299.72/300.48  2211[0:MRR:2207.2,1844.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* -> .
% 299.72/300.48  14880[2:SpR:12610.0,12776.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  20183[0:SpL:9368.0,18204.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,skf64(v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  51893[2:SoR:10682.1,51857.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  540[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* equal(v,u).
% 299.72/300.48  539[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* equal(v,u).
% 299.72/300.48  116133[0:Res:116130.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  116132[0:Res:116130.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  116130[0:SSi:116124.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  507[0:Inp] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.72/300.48  116046[0:Obv:116045.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  508[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.72/300.48  108628[0:AED:109.0,78315.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  108627[0:AED:109.0,78294.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  509[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.72/300.48  2478[0:SpL:317.0,381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.48  9493[0:SpR:9368.0,3092.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,skf64(u))))*.
% 299.72/300.48  26576[0:Rew:12609.0,26552.0,1607.0,26552.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.48  64734[0:Res:64651.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(skf64(u)))))*.
% 299.72/300.48  496[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  8789[4:MRR:8664.1,8759.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  18871[4:MRR:18840.1,8759.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> SkP0(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  12132[0:SpR:12098.0,344.0] ||  -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  12331[0:SpR:12099.0,344.0] ||  -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  499[0:Inp] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(c_COMBK(u,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  12488[0:SpR:12100.0,344.0] ||  -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  14019[0:SpR:13757.0,2525.0] ||  -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  27252[0:Rew:225.0,27148.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  28279[0:Rew:276.0,28270.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  497[0:Inp] class_Groups_Ozero(u) || equal(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**+ -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.72/300.48  49428[8:Rew:49081.0,49417.0] || equal(c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  49418[8:SpL:18347.0,49239.0] || equal(skf50(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  57262[0:SpR:2526.0,57133.0] ||  -> equal(skf51(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  72795[2:SpR:12551.0,71866.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  498[0:Inp] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*+ -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  72796[2:SpR:12552.0,71866.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  72797[2:SpR:12553.0,71866.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  72798[2:SpR:12664.0,71866.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  51567[0:Res:220.0,832.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  529[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.72/300.48  64651[0:SpR:9368.0,64590.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(skf64(u)))))*.
% 299.72/300.48  4801[0:Obv:4785.1] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  111828[18:MRR:8116.1,111803.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  111827[18:MRR:8048.1,111803.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  518[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.72/300.48  111823[18:MRR:8191.1,111803.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  65930[4:Res:42157.0,9629.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  51595[0:Res:5525.0,51113.1] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  66485[13:MRR:66358.0,53713.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  513[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  66486[13:MRR:66359.0,53713.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  6792[0:SoR:6731.0,5629.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(c_fNot))** -> .
% 299.72/300.48  51596[0:Res:5629.0,51113.1] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  65911[4:Res:42157.0,9628.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  533[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  78504[0:Res:78447.0,331.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  8120[3:Res:5849.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf47(c_fNot))** -> .
% 299.72/300.48  8121[0:Res:5848.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(c_Int_Onat))** -> .
% 299.72/300.48  8097[0:SoR:3610.0,4354.1] || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))* -> .
% 299.72/300.48  520[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  55413[0:Res:54454.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf49(c_Int_Onat))** -> .
% 299.72/300.48  8052[3:Res:5849.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf47(c_fNot))** -> .
% 299.72/300.48  8053[0:Res:5848.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf60(c_Int_Onat))** -> .
% 299.72/300.48  7999[0:SoR:3610.0,4353.1] || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))* -> .
% 299.72/300.48  12554[0:Rew:12519.0,548.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),u).
% 299.72/300.48  55412[0:Res:54454.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf49(c_Int_Onat))** -> .
% 299.72/300.48  1986[0:SpR:233.0,344.0] ||  -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  19333[8:Res:19253.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  19334[8:Res:19253.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  536[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  71754[0:Res:16875.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71755[0:Res:16876.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  537[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.72/300.48  71832[2:MRR:71613.0,4367.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71834[4:MRR:71642.1,8759.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71833[4:MRR:71640.1,8759.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71835[2:MRR:71723.0,4368.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  12557[0:Rew:12519.0,549.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))))* -> .
% 299.72/300.48  77650[2:Res:52901.1,39778.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.48  74696[2:Res:52145.1,28828.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.48  7856[0:SoR:6731.0,7721.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_fNot))** -> .
% 299.72/300.48  51597[0:Res:7721.0,51113.1] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  476[0:Inp] class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))* -> equal(v,w).
% 299.72/300.48  8195[3:Res:5849.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf47(c_fNot))** -> .
% 299.72/300.48  8196[0:Res:5848.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(c_Int_Onat))** -> .
% 299.72/300.48  19335[8:Res:19253.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  8153[0:SoR:3610.0,4355.1] || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> .
% 299.72/300.48  483[0:Inp] class_Int_Oring__char__0(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* -> equal(v,w).
% 299.72/300.48  55414[0:Res:54454.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf49(c_Int_Onat))** -> .
% 299.72/300.48  71831[4:MRR:71610.0,8759.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  8784[4:MRR:8049.1,8759.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  8785[4:MRR:8117.1,8759.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  450[0:Inp] class_Groups_Ozero(u) || equal(c_Polynomial_Ocoeff(u,v),c_Polynomial_Ocoeff(u,w))* -> equal(v,w).
% 299.72/300.48  8786[4:MRR:8192.1,8759.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  71845[10:MRR:71681.0,38830.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  451[0:Inp] class_Groups_Ozero(u) || equal(v,w) -> equal(c_Polynomial_Ocoeff(u,v),c_Polynomial_Ocoeff(u,w))*.
% 299.72/300.48  65775[4:Res:42157.0,9627.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  72801[2:SpR:12610.0,71866.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  2437[0:SpL:285.0,334.0] || hBOOL(u) -> SkP2(c_COMBK(v,w),u,x)*.
% 299.72/300.48  2371[0:SpL:285.0,333.0] || hBOOL(u) -> SkP1(c_COMBK(v,w),u,x)*.
% 299.72/300.48  484[0:Inp] class_Int_Oring__char__0(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.72/300.48  62972[4:Res:42157.0,9638.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v)* SkP1(w,v,u)*.
% 299.72/300.48  19067[0:SpR:18862.1,3618.0] ||  -> SkP0(u,skf48(c_fequal(v)))* SkP1(w,v,x)*.
% 299.72/300.48  21143[0:Res:16882.1,334.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v,u)*.
% 299.72/300.48  477[0:Inp] class_Nat_Osemiring__char__0(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))*.
% 299.72/300.48  2445[0:Res:325.1,334.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v,u)*.
% 299.72/300.48  2444[0:Res:309.1,334.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP2(c_Rings_Odvd__class_Odvd(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  2447[0:Res:310.1,334.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP2(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  61442[4:Res:42157.0,43033.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf55(u,v),u)* hBOOL(u).
% 299.72/300.48  467[0:Inp] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) -> .
% 299.72/300.48  25093[4:SpR:2545.0,24689.1] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,u)*.
% 299.72/300.48  2381[0:Res:310.1,333.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP1(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  2378[0:Res:309.1,333.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP1(c_Rings_Odvd__class_Odvd(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  11364[0:SpR:9368.0,11351.0] ||  -> SkP1(u,skf50(skf64(v)),c_Int_Onat__aux(w,skf64(v)))*.
% 299.72/300.48  469[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(v,w) -> .
% 299.72/300.48  24282[0:Res:348.0,21175.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),v)*.
% 299.72/300.48  24274[0:Res:322.0,21175.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))*.
% 299.72/300.48  2377[0:Res:346.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf65(u,v),skf66(u,v))*.
% 299.72/300.48  2443[0:Res:346.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf65(u,v),skf66(u,v))*.
% 299.72/300.48  447[0:Inp] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  18720[0:Fac:515.1,515.2] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),v))*.
% 299.72/300.48  5746[0:SpR:5744.1,144.0] || equal(u,v) -> hBOOL(hAPP(c_fequal(v),u))*.
% 299.72/300.48  2780[0:Rew:2545.0,2770.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> SkP1(v,u,w)*.
% 299.72/300.48  10103[0:SpR:9370.1,2491.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),u)*.
% 299.72/300.48  448[0:Inp] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)**.
% 299.72/300.48  42512[0:SSi:42511.1,121.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  61081[4:Res:42157.0,59161.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf51(skf64(u),v),skf64(u))*.
% 299.72/300.48  61080[4:Res:42157.0,42916.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf55(skf64(u),v),skf64(u))*.
% 299.72/300.48  15420[4:SpR:3632.0,14956.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  443[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),v)**.
% 299.72/300.48  8783[4:MRR:7471.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),c_Int_Onat__aux(u,v))*.
% 299.72/300.48  62985[0:Res:55206.0,9638.0] ||  -> SkP1(u,v,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  24292[0:Res:16419.0,21175.0] ||  -> SkP1(u,skf48(v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(v))))*.
% 299.72/300.48  24290[0:Res:16274.0,21175.0] ||  -> SkP1(u,skf60(v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(v))))*.
% 299.72/300.48  444[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)**.
% 299.72/300.48  56264[0:SpR:276.0,56254.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.48  24313[0:Res:3537.0,21175.0] ||  -> SkP1(u,v,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.72/300.48  23972[0:Res:3549.0,9638.0] ||  -> SkP1(u,v,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.48  2538[0:SpL:386.0,380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),v))* -> .
% 299.72/300.48  442[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  8780[4:MRR:6944.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(u)),v))*.
% 299.72/300.48  15529[0:SpR:3632.0,15140.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.48  10800[0:SpR:9368.0,10793.0] ||  -> SkP1(u,skf50(skf64(v)),hAPP(c_Nat_OSuc,skf64(v)))*.
% 299.72/300.48  12136[0:SpR:12098.0,2667.0] ||  -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v),v)**.
% 299.72/300.48  3718[0:Rew:3621.0,2603.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.72/300.48  16759[2:SpL:12498.0,16590.0] || equal(skf48(u),v)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  16590[2:SpR:12260.1,12141.0] || equal(skf60(u),v)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  19176[0:SpR:15222.0,19159.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.48  18992[6:SpR:10150.1,18991.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP0(skf50(u),v)*.
% 299.72/300.48  487[0:Inp] class_Int_Oring__char__0(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  19029[7:SpR:10150.1,19028.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP0(v,skf50(u))*.
% 299.72/300.48  24293[0:Res:16420.0,21175.0] ||  -> SkP1(u,skf47(v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(v))))*.
% 299.72/300.48  13757[0:SpR:13536.0,12136.0] ||  -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v),v)**.
% 299.72/300.48  16760[2:SpL:13536.0,16590.0] || equal(skf47(u),v)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  488[0:Inp] class_Int_Oring__char__0(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  24291[0:Res:16418.0,21175.0] ||  -> SkP1(u,skf57(v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(v))))*.
% 299.72/300.48  12335[0:SpR:12099.0,2667.0] ||  -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v),v)**.
% 299.72/300.48  16758[2:SpL:12341.0,16590.0] || equal(skf57(u),v)*+ -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  10118[0:SpL:9370.1,146.0] || equal(skf50(u),u)**+ -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  1621[0:Rew:276.0,572.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.48  8586[0:Res:3279.0,475.0] ||  -> SkP0(u,v)* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  18713[0:Res:18629.0,12604.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  2470[0:Res:301.0,1606.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  18711[0:Res:18629.0,475.0] ||  -> SkP0(u,v)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  468[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  18855[0:Rew:12610.0,18803.1] ||  -> SkP0(u,skf60(v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(v)).
% 299.72/300.48  18854[0:Rew:12610.0,18787.1] ||  -> SkP0(u,skf48(v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(v)).
% 299.72/300.48  18856[0:Rew:12610.0,18804.1] ||  -> SkP0(u,skf47(v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(v)).
% 299.72/300.48  18857[0:Rew:12610.0,18808.1] ||  -> SkP0(u,skf57(v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf57(v)).
% 299.72/300.48  461[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  111821[18:MRR:54998.1,111803.0] || equal(skf49(c_Nat_OSuc),u) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  108658[17:Res:108626.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(u,c_Nat_OSuc)))*.
% 299.72/300.48  58056[0:Res:54147.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))*.
% 299.72/300.48  1637[0:Rew:219.0,696.1,219.0,696.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  4934[0:Res:4896.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))*.
% 299.72/300.48  58202[2:Res:54405.0,334.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)))*.
% 299.72/300.48  4510[0:Res:3549.0,336.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u)** -> .
% 299.72/300.48  462[0:Inp] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  26096[0:SpL:3614.0,26073.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf48(c_fequal(u)))** -> .
% 299.72/300.48  56386[0:Res:382.1,55215.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),u)** -> .
% 299.72/300.48  58177[4:Res:54404.0,334.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)))*.
% 299.72/300.48  18259[4:SpR:9368.0,18147.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,skf64(v)))*.
% 299.72/300.48  1907[0:Rew:1878.0,470.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(hAPP(c_Nat_OSuc,skf50(u)),u).
% 299.72/300.48  58203[2:Res:54405.0,333.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)))*.
% 299.72/300.48  58057[0:Res:54147.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))*.
% 299.72/300.48  58178[4:Res:54404.0,333.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)))*.
% 299.72/300.48  458[0:Inp] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  4935[0:Res:4896.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))*.
% 299.72/300.48  2481[0:SpL:318.0,381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),u))* -> .
% 299.72/300.48  9523[0:SpL:9368.0,2268.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),skf50(skf64(u)))** -> .
% 299.72/300.48  490[0:Inp] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  15442[4:SpR:2544.0,15420.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  57924[0:Res:54125.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)))*.
% 299.72/300.48  57925[0:Res:54125.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)))*.
% 299.72/300.48  58330[4:Res:54406.0,334.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))*.
% 299.72/300.48  491[0:Inp] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  2434[0:SpL:273.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  2419[0:SpL:272.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  58331[4:Res:54406.0,333.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))*.
% 299.72/300.48  2368[0:SpL:273.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  12546[0:Rew:12519.0,482.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(skf48(c_fequal(skf64(u))),u).
% 299.72/300.48  2353[0:SpL:272.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  26073[0:Res:26032.0,331.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),u)** -> .
% 299.72/300.48  55294[0:Res:54184.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.72/300.48  55204[0:Res:54158.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.48  475[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  54184[0:Res:16179.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.72/300.48  54158[0:Res:248.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.48  54123[0:Res:149.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.48  54122[0:Res:150.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))))*.
% 299.72/300.48  474[0:Inp] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  10604[0:Res:3587.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_fNot,c_Orderings_Oord__class_OLeast(u,c_fNot)))*.
% 299.72/300.48  10603[0:Res:3963.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Int_Onat,c_Orderings_Oord__class_OLeast(u,c_Int_Onat)))*.
% 299.72/300.48  5848[0:SpR:5744.1,4253.0] || equal(u,skf60(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  54454[0:SpR:5744.1,54335.0] || equal(skf49(c_Int_Onat),u) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  12604[0:Rew:12519.0,479.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  9491[0:SpR:9368.0,2030.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),skf64(u)))*.
% 299.72/300.48  26189[0:Res:26124.0,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))))*.
% 299.72/300.48  26124[0:Res:26075.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.72/300.48  26075[0:Res:26032.0,12538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.72/300.48  12555[0:Rew:12519.0,481.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  54466[0:SpR:5744.1,54359.0] || equal(skf49(c_fNot),u) -> hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.48  56585[0:SpR:9487.0,56572.0] ||  -> SkP0(u,skf48(c_fequal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))))))*.
% 299.72/300.48  57789[2:SSi:57756.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)))*.
% 299.72/300.48  5849[3:SpR:5744.1,4426.0] || equal(u,skf47(c_fNot)) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  1639[0:MRR:777.3,467.2] class_Orderings_Olinorder(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.72/300.48  6558[3:SpR:3614.0,5849.1] || equal(skf48(c_fequal(u)),skf47(c_fNot))** -> hBOOL(u).
% 299.72/300.48  73451[4:MRR:73410.1,8759.0] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> hBOOL(u).
% 299.72/300.48  12664[0:Rew:12519.0,12101.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,skf47(u)))),skf47(u))**.
% 299.72/300.48  12552[0:Rew:12519.0,12099.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,skf57(u)))),skf57(u))**.
% 299.72/300.48  428[0:Inp] class_Orderings_Oorder(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.72/300.48  2664[0:Rew:2545.0,2663.0] ||  -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),u)**.
% 299.72/300.48  413[0:Inp] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  53622[2:SSi:53613.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(u).
% 299.72/300.48  53804[2:SSi:53792.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(u).
% 299.72/300.48  77760[16:SSi:77757.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  408[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  19253[8:SpR:5744.1,19248.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  6751[0:Res:431.1,2538.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  2364[0:SpL:271.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  2363[0:SpL:284.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  403[0:Inp] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  2429[0:SpL:284.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  19325[8:SpR:3614.0,19253.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(u).
% 299.72/300.48  2423[0:SpL:270.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.48  2430[0:SpL:271.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  399[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  51858[2:Res:378.1,51414.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(u).
% 299.72/300.48  19381[0:Rew:267.0,19365.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)**.
% 299.72/300.48  19486[0:SpL:19381.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  2366[0:SpL:267.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  398[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Polynomial_Osynthetic__div(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  2358[0:SpL:268.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  2424[0:SpL:268.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  2432[0:SpL:267.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  19485[0:SpL:19381.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  397[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Polynomial_Opcompose(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  51889[2:SSi:51869.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(u).
% 299.72/300.48  111820[18:MRR:71714.0,111803.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  28427[4:Obv:28418.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),skf48(c_fNot))** -> .
% 299.72/300.48  9528[0:SpL:9368.0,2478.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.48  396[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  24289[0:Res:5017.0,21175.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  56586[0:SpR:1878.0,56572.0] ||  -> SkP0(u,skf48(c_fequal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.48  51616[4:MRR:51590.1,8759.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  51618[4:MRR:51592.1,8759.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  401[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  27460[8:MRR:27440.1,19248.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.48  27462[8:MRR:27442.1,19248.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.48  27463[8:MRR:27443.1,19248.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.48  50212[8:Obv:50210.1] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  405[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  73420[0:Res:3903.0,27439.1] || equal(skf48(c_fequal(skf48(c_COMBI(u)))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  28430[4:Obv:28421.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),skf48(c_fNot))** -> .
% 299.72/300.48  51619[4:MRR:51593.1,8759.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  27461[8:MRR:27441.1,19248.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.48  410[0:Inp] class_Groups_Ozero(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  28428[4:Obv:28419.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),skf48(c_fNot))** -> .
% 299.72/300.48  51617[4:MRR:51591.1,8759.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  14258[0:SpL:12551.0,12861.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(u))* -> .
% 299.72/300.48  14259[0:SpL:12552.0,12861.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf57(u))* -> .
% 299.72/300.48  406[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  14260[0:SpL:12553.0,12861.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(u))* -> .
% 299.72/300.48  14261[0:SpL:12664.0,12861.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf47(u))* -> .
% 299.72/300.48  12169[0:SpL:12098.0,2210.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  12364[0:SpL:12099.0,2210.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  402[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  12522[0:SpL:12100.0,2210.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  13563[0:SpL:12664.0,12522.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  20725[0:Res:20513.0,11888.0] ||  -> SkP0(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  25416[0:Res:19575.0,25382.0] ||  -> SkP0(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)*.
% 299.72/300.48  414[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u))*.
% 299.72/300.48  11915[0:Res:3536.0,11888.0] ||  -> SkP0(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  25608[0:Res:3536.0,25570.0] ||  -> SkP0(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)*.
% 299.72/300.48  24288[0:Res:4986.0,21175.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  7202[0:Res:6866.1,4440.0] || equal(skf48(c_fequal(skf47(c_COMBI(u)))),skf48(c_Int_Onat))** -> .
% 299.72/300.48  412[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))*.
% 299.72/300.48  20598[8:Res:19779.1,4440.0] || equal(hAPP(c_Nat_OSuc,skf47(c_COMBI(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  10007[0:SpL:9487.0,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.72/300.48  56267[0:SpL:9487.0,56260.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  57133[0:Rew:9454.0,57019.0] ||  -> equal(skf51(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  426[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.72/300.48  71748[0:Res:243.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71828[4:MRR:71638.0,8759.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  4477[0:Res:3536.0,327.0] ||  -> SkP0(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)*.
% 299.72/300.48  20510[0:Res:19575.0,326.0] ||  -> SkP0(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  418[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))*.
% 299.72/300.48  20724[0:Res:20513.0,327.0] ||  -> SkP0(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)*.
% 299.72/300.48  4822[0:SpL:3622.0,4801.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  12167[0:SpL:12098.0,304.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  12362[0:SpL:12099.0,304.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  429[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.72/300.48  12520[0:SpL:12100.0,304.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  13562[0:SpL:12664.0,12520.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  24287[0:Res:4868.0,21175.0] ||  -> SkP1(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  10012[0:SpL:9487.0,4514.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  409[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  411[0:Inp] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  79633[2:Res:52296.1,55301.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.48  79632[2:Res:52296.1,55085.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.48  5525[0:Res:144.0,3602.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  1908[0:Rew:1878.0,430.1] || equal(u,hAPP(c_Nat_OSuc,v))*+ -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.72/300.48  20611[8:Rew:2526.0,20597.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  48262[8:MRR:48255.0,19248.0] ||  -> equal(skf48(c_fequal(skf62(c_Int_Onat,skf47(c_Int_Onat)))),skf47(c_Int_Onat))**.
% 299.72/300.48  49081[8:SpR:48262.0,3614.0] ||  -> equal(hAPP(c_Int_Onat,skf47(c_Int_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))**.
% 299.72/300.48  5629[0:Res:144.0,3603.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  437[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  51615[4:MRR:51583.1,8759.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  2209[0:MRR:2206.1,1844.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  25468[0:Res:25447.0,331.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  53623[2:SoR:6731.0,53616.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(c_fNot))** -> .
% 299.72/300.48  431[0:Inp] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  53634[2:Res:53616.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  53861[2:SoR:6731.0,53797.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(c_fNot))** -> .
% 299.72/300.48  53872[2:Res:53797.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  1878[0:SpR:219.0,276.0] ||  -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.72/300.48  3735[0:Rew:3621.0,2628.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  25269[0:Res:2179.1,9629.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  1936[0:SpL:1878.0,230.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.72/300.48  55275[0:SpL:1878.0,55205.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  57932[0:SSi:57926.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  3736[0:Rew:3621.0,2642.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71737[0:Res:150.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71738[0:Res:149.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  52047[2:SoR:6731.0,51878.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_fNot))** -> .
% 299.72/300.48  52057[2:Res:51878.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  419[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.48  51990[2:SoR:6731.0,51877.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_fNot))** -> .
% 299.72/300.48  52000[2:Res:51877.0,51113.1] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf46(c_Int_Onat))** -> .
% 299.72/300.48  64455[2:Obv:64406.1] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf49(c_fNot))** -> .
% 299.72/300.48  7721[0:Res:144.0,3604.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  360[0:Inp] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v),v)**.
% 299.72/300.48  8573[0:Res:8517.0,331.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  20641[0:SSi:20638.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  1957[0:SpL:233.0,304.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  8808[0:MRR:8791.1,1844.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  355[0:Inp] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v),v)**.
% 299.72/300.48  4539[0:SpL:1878.0,4514.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  49240[8:MRR:49190.1,49214.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  58064[0:SSi:58058.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  75200[0:Res:19551.1,38532.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  354[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v),v)**.
% 299.72/300.48  75201[0:Res:19551.1,38533.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  75202[0:Res:19551.1,55085.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  75203[0:Res:19551.1,55301.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  23971[0:Res:301.0,9638.0] ||  -> SkP1(u,v,w)* SkP1(x,w,v)*.
% 299.72/300.48  359[0:Inp] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v),v)**.
% 299.72/300.48  61444[4:Res:301.0,43033.0] ||  -> SkP1(u,skf55(v,w),v)* hBOOL(v).
% 299.72/300.48  2270[0:Res:301.0,336.0] || equal(u,v) -> SkP1(w,u,v)*.
% 299.72/300.48  111819[18:MRR:73404.1,111803.0] || equal(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  111818[18:MRR:49221.1,111803.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  365[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v),v)**.
% 299.72/300.48  111817[18:MRR:4701.0,111803.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),u)*.
% 299.72/300.48  111816[18:MRR:4700.0,111803.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),u)*.
% 299.72/300.48  111815[18:MRR:4443.1,111803.0] || equal(skf47(c_COMBI(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  111970[18:SpR:9454.0,111814.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  363[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v),v)**.
% 299.72/300.48  111966[18:SpR:9454.0,111813.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  111814[18:MRR:10148.0,111803.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(u))*.
% 299.72/300.48  111813[18:MRR:31406.0,111803.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(u))*.
% 299.72/300.48  111812[18:MRR:2421.0,111803.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  352[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)),v)**.
% 299.72/300.48  111811[18:MRR:2355.0,111803.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  111807[18:MRR:27372.0,111803.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  111806[18:MRR:27371.0,111803.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  111810[18:MRR:7893.0,111803.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf57(c_Int_Onat))** -> .
% 299.72/300.48  353[0:Inp] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)),v)**.
% 299.72/300.48  111809[18:MRR:4465.0,111803.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_fNot))** -> .
% 299.72/300.48  111808[18:MRR:51116.1,111803.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf46(c_Int_Onat))** -> .
% 299.72/300.48  111805[18:MRR:71636.0,111803.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Nat_OSuc),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  111804[18:MRR:31405.0,111803.0] ||  -> SkP0(u,skf47(c_Nat_OSuc))*.
% 299.72/300.48  364[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u)),v)**.
% 299.72/300.48  111803[18:Spt:111754.1] ||  -> hBOOL(c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  18862[0:Rew:3614.0,18767.1,2525.0,18767.1] ||  -> SkP0(u,v)* equal(c_Int_Onat__aux(v,w),w)**.
% 299.72/300.48  8672[0:Rew:3614.0,8605.1,2525.0,8605.1] ||  -> SkP0(u,v)* equal(c_Int_Onat__aux(u,w),w)**.
% 299.72/300.48  2446[0:Res:290.1,334.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP2(c_Rings_Odvd__class_Odvd(u),v,v)*.
% 299.72/300.48  361[0:Inp] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u)),v)**.
% 299.72/300.48  2528[0:SpR:386.0,2484.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),c_Int_Onat__aux(v,w))*.
% 299.72/300.48  3618[0:SpR:3614.0,2528.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.72/300.48  11351[0:Res:301.0,9621.0] ||  -> SkP1(u,v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  59327[0:Res:301.0,59161.0] ||  -> SkP1(u,skf51(skf64(v),w),skf64(v))*.
% 299.72/300.48  362[0:Inp] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u)),v)**.
% 299.72/300.48  45208[0:Res:301.0,42916.0] ||  -> SkP1(u,skf55(skf64(v),w),skf64(v))*.
% 299.72/300.48  43026[4:Res:41857.1,336.0] || equal(skf55(u,v),u)** -> hBOOL(u).
% 299.72/300.48  14930[2:SpR:12553.0,14887.1] hBOOL(u) ||  -> SkP2(c_fconj,u,skf60(v))*.
% 299.72/300.48  14928[2:SpR:12551.0,14887.1] hBOOL(u) ||  -> SkP2(c_fconj,u,skf48(v))*.
% 299.72/300.48  371[0:Inp] class_Lattices_Oboolean__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)**.
% 299.72/300.48  15102[2:SpR:12551.0,14888.1] hBOOL(u) ||  -> SkP1(c_fconj,u,skf48(v))*.
% 299.72/300.48  15104[2:SpR:12553.0,14888.1] hBOOL(u) ||  -> SkP1(c_fconj,u,skf60(v))*.
% 299.72/300.48  15553[0:SpR:9368.0,15529.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,skf64(w)))*.
% 299.72/300.48  10793[0:Res:301.0,9619.0] ||  -> SkP1(u,v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  356[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)**.
% 299.72/300.48  28425[4:Obv:28415.1] || equal(u,skf48(c_fNot)) -> SkP0(u,v)*.
% 299.72/300.48  28424[4:Obv:28413.1] || equal(u,skf48(c_fNot)) -> SkP0(v,u)*.
% 299.72/300.48  19614[0:SpR:9368.0,19176.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,skf64(w)))))*.
% 299.72/300.48  15747[0:Res:144.0,10626.1] class_Orderings_Owellorder(u) ||  -> hBOOL(c_Orderings_Oord__class_OLeast(u,c_COMBI(v)))*.
% 299.72/300.48  12570[0:Rew:12519.0,392.1] class_Rings_Oring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,skf48(c_fequal(v))),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.72/300.48  2523[0:SpR:386.0,320.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,u)))*.
% 299.72/300.48  16085[0:SSi:16081.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),v)*.
% 299.72/300.48  51614[4:MRR:51586.1,8759.0] || equal(skf46(c_Int_Onat),u) -> SkP0(u,v)*.
% 299.72/300.48  51613[4:MRR:51584.1,8759.0] || equal(skf46(c_Int_Onat),u) -> SkP0(v,u)*.
% 299.72/300.48  366[0:Inp] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  15105[2:SpR:12664.0,14888.1] hBOOL(u) ||  -> SkP1(c_fconj,u,skf47(v))*.
% 299.72/300.48  14931[2:SpR:12664.0,14887.1] hBOOL(u) ||  -> SkP2(c_fconj,u,skf47(v))*.
% 299.72/300.48  27457[8:MRR:27435.1,19248.0] || equal(u,skf47(c_Int_Onat)) -> SkP0(v,u)*.
% 299.72/300.48  27458[8:MRR:27437.1,19248.0] || equal(u,skf47(c_Int_Onat)) -> SkP0(u,v)*.
% 299.72/300.48  394[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u)),v)**.
% 299.72/300.48  15103[2:SpR:12552.0,14888.1] hBOOL(u) ||  -> SkP1(c_fconj,u,skf57(v))*.
% 299.72/300.48  14929[2:SpR:12552.0,14887.1] hBOOL(u) ||  -> SkP2(c_fconj,u,skf57(v))*.
% 299.72/300.48  8475[0:Res:5870.1,326.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(v,u)*.
% 299.72/300.48  8490[0:Res:5871.1,327.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(u,v)*.
% 299.72/300.48  393[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  19887[7:Obv:19876.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP0(v,u)*.
% 299.72/300.48  19861[6:Obv:19850.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP0(u,v)*.
% 299.72/300.48  6706[0:Res:5747.1,327.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP0(u,v)*.
% 299.72/300.48  40078[0:Res:40052.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.48  390[0:Inp] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.72/300.48  40096[0:SpR:266.0,40078.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u)*.
% 299.72/300.48  61086[4:Res:42157.0,55215.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.48  61085[4:Res:42157.0,55181.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))*.
% 299.72/300.48  9506[4:SpR:9368.0,8768.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf64(u))*.
% 299.72/300.48  350[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)),v)**.
% 299.72/300.48  40079[0:Res:40052.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.48  40109[0:SpR:266.0,40079.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u)*.
% 299.72/300.48  55488[0:Res:54466.1,259.1] hBOOL(u) || equal(skf49(c_fNot),u)* -> .
% 299.72/300.48  56572[0:Res:19039.1,55613.0] ||  -> SkP0(u,skf48(c_fequal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))))*.
% 299.72/300.48  351[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v),v)**.
% 299.72/300.48  19172[0:SpR:2526.0,19159.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  10224[4:SpR:10150.1,8759.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(skf50(u))*.
% 299.72/300.48  2030[0:SpR:347.0,348.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  2544[0:Rew:317.0,2530.0] ||  -> equal(c_Int_Onat__aux(c_Groups_Oone__class_Oone(tc_Int_Oint),u),hAPP(c_Nat_OSuc,u))**.
% 299.72/300.48  369[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)**.
% 299.72/300.48  26833[0:Obv:26832.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  15106[2:SpR:12609.0,14888.1] hBOOL(u) ||  -> SkP1(c_fconj,u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  14932[2:SpR:12609.0,14887.1] hBOOL(u) ||  -> SkP2(c_fconj,u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  10853[0:Obv:10852.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  372[0:Inp] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)**.
% 299.72/300.48  10855[0:Obv:10854.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  52124[2:Res:51858.0,475.0] ||  -> hBOOL(u) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  2525[0:SpR:386.0,271.0] ||  -> equal(c_Int_Onat__aux(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,u))**.
% 299.72/300.48  9537[0:SpL:9368.0,6751.0] || equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  3732[0:Rew:3621.0,2625.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),u),v)**.
% 299.72/300.48  15108[2:SpR:12610.0,14888.1] hBOOL(u) ||  -> SkP1(c_fconj,u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  14934[2:SpR:12610.0,14887.1] hBOOL(u) ||  -> SkP2(c_fconj,u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  8771[4:MRR:7472.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  1608[0:Rew:276.0,453.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.72/300.48  16876[0:SSi:16841.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.72/300.48  18860[4:MRR:18837.0,8759.0] ||  -> SkP0(u,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  18859[4:MRR:18836.0,8759.0] ||  -> SkP0(u,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  2891[0:SpL:2526.0,218.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  375[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.72/300.48  49239[8:MRR:49173.1,49214.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  53025[0:Rew:9454.0,52925.0] ||  -> equal(skf51(skf64(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  56260[0:Rew:276.0,56241.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  18861[4:MRR:18838.0,8759.0] ||  -> SkP0(u,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  378[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.48  4514[0:MRR:4506.1,251.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  9530[0:SpL:9368.0,4822.0] || equal(skf48(c_fequal(skf64(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  20580[8:SoR:3610.0,19779.1] || equal(hAPP(c_Nat_OSuc,skf48(c_fNot)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  51119[8:Res:19779.1,50957.0] || equal(hAPP(c_Nat_OSuc,skf46(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  382[0:Inp] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  51121[0:Res:6866.1,50957.0] || equal(skf48(c_fequal(skf46(c_Int_Onat))),skf48(c_Int_Onat))** -> .
% 299.72/300.48  51609[0:Res:3963.0,51113.1] || equal(hAPP(c_Int_Onat,skf48(c_Int_Onat)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  52529[4:SoR:3610.0,52290.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  49212[8:Rew:49081.0,6560.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf47(c_fNot))** -> .
% 299.72/300.48  395[0:Inp] hBOOL(u) hBOOL(v) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),v))*.
% 299.72/300.48  73428[3:Res:4426.0,27439.1] || equal(skf48(c_fequal(skf47(c_fNot))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  49211[8:Rew:49081.0,6530.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf60(c_Int_Onat))** -> .
% 299.72/300.48  49218[8:Rew:49081.0,4320.0] || hBOOL(hAPP(c_Int_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.72/300.48  55416[8:Res:54454.1,49218.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf49(c_Int_Onat))** -> .
% 299.72/300.48  383[0:Inp] || hBOOL(hAPP(u,hAPP(c_Int_Onat,skf47(u))))*+ -> hBOOL(hAPP(u,v))*.
% 299.72/300.48  64431[8:MRR:64404.1,8759.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf49(c_fNot))** -> .
% 299.72/300.48  69451[8:SoR:3610.0,69440.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),skf47(c_Int_Onat))** -> .
% 299.72/300.48  73438[0:Res:4253.0,27439.1] || equal(skf48(c_fequal(skf60(c_Int_Onat))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  73440[0:Res:54335.0,27439.1] || equal(skf48(c_fequal(skf49(c_Int_Onat))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  12569[0:Rew:12519.0,387.1] || hBOOL(hAPP(u,skf57(u)))*+ -> hBOOL(hAPP(u,skf48(c_fequal(v))))*.
% 299.72/300.48  73453[13:MRR:73414.1,53713.0] || equal(skf48(c_fequal(skf47(c_Int_Onat))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  7228[0:SoR:3610.0,7210.1] || equal(skf48(c_fequal(skf57(c_Int_Onat))),skf48(c_Int_Onat))** -> .
% 299.72/300.48  20693[8:SoR:3610.0,20613.1] || equal(hAPP(c_Nat_OSuc,skf57(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  51526[0:SoR:3610.0,51084.1] || hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.48  3733[0:Rew:3621.0,2641.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),u)** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  9271[2:SoR:3610.0,9233.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  53616[2:Res:19575.0,52308.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  53797[2:Res:3536.0,53554.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  10373[4:SoR:3610.0,10316.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  3634[0:Rew:3621.0,2675.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  21408[0:Rew:9454.0,21338.0] ||  -> equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  49214[8:Rew:49081.0,19331.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  71735[0:Res:144.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_fequal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  51878[2:Res:3536.0,51414.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  376[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  57729[2:Res:52901.1,55085.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  51877[2:Res:20513.0,51414.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  57483[2:Res:52145.1,55634.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  51536[0:SoR:3610.0,51085.1] || hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* -> .
% 299.72/300.48  1606[0:Rew:219.0,471.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  73449[4:MRR:73405.1,8759.0] || equal(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf47(c_Int_Onat))** -> .
% 299.72/300.48  49213[8:Rew:49081.0,8767.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  51890[2:SoR:3610.0,51857.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  2099[0:Rew:231.0,2071.1] || equal(u,v)* -> equal(v,u).
% 299.72/300.48  334[0:Inp] || hBOOL(hAPP(hAPP(u,v),w))* -> SkP2(u,v,w).
% 299.72/300.48  8769[4:MRR:7453.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(v,u))*.
% 299.72/300.48  56396[0:Res:301.0,55215.0] ||  -> SkP1(u,v,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.48  56254[0:Res:301.0,55181.0] ||  -> SkP1(u,v,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))*.
% 299.72/300.48  23775[0:Rew:3622.0,23753.0] ||  -> SkP1(u,v,hAPP(c_Nat_OSuc,skf50(v)))*.
% 299.72/300.48  333[0:Inp] || hBOOL(hAPP(hAPP(u,v),w))* -> SkP1(u,v,w).
% 299.72/300.48  9509[0:SpR:9368.0,2491.0] ||  -> SkP1(u,skf50(skf64(v)),skf64(v))*.
% 299.72/300.48  61587[4:Res:19039.1,43048.0] ||  -> SkP0(u,skf48(c_fequal(v)))* hBOOL(v).
% 299.72/300.48  345[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w),w)**.
% 299.72/300.48  41124[2:SpR:12553.0,41028.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf60(v))*.
% 299.72/300.48  41051[2:SpR:12553.0,41026.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf60(v))*.
% 299.72/300.48  319[0:Inp] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)**.
% 299.72/300.48  41028[2:SpR:12553.0,40566.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf48(v))*.
% 299.72/300.48  41026[2:SpR:12551.0,40566.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf48(v))*.
% 299.72/300.48  12487[0:SpR:12100.0,282.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf48(u)),skf48(u))**.
% 299.72/300.48  12131[0:SpR:12098.0,282.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf60(u)),skf60(u))**.
% 299.72/300.48  308[0:Inp] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  55205[0:Res:54158.0,336.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u)** -> .
% 299.72/300.48  9521[0:SpL:9368.0,146.0] || equal(skf50(skf64(u)),skf64(u))** -> .
% 299.72/300.48  12874[0:Rew:12519.0,12567.1] || equal(u,v) -> equal(skf48(c_fequal(u)),skf48(c_fequal(v)))*.
% 299.72/300.48  42623[2:SpR:12553.0,42545.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf60(v))*.
% 299.72/300.48  42568[2:SpR:12553.0,42543.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf60(v))*.
% 299.72/300.48  315[0:Inp] || equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v))* -> equal(u,v).
% 299.72/300.48  42545[2:SpR:12553.0,41970.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf48(v))*.
% 299.72/300.48  42543[2:SpR:12551.0,41970.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf48(v))*.
% 299.72/300.48  8768[4:MRR:7270.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  2506[0:SpR:317.0,2484.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  336[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,u) -> .
% 299.72/300.48  109953[4:SoR:54468.0,52303.1] || equal(skf49(c_fNot),skf48(c_fNot))** -> .
% 299.72/300.48  52303[4:Obv:52232.1] || equal(u,skf48(c_fNot))*+ -> hBOOL(u)*.
% 299.72/300.48  38531[0:SSi:38432.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),u))* -> .
% 299.72/300.48  18889[0:SpR:9487.0,18868.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))))*.
% 299.72/300.48  331[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(u,v) -> .
% 299.72/300.48  19159[0:MRR:19091.1,3051.0] ||  -> SkP0(u,skf48(c_fequal(hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  16875[0:SSi:16846.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),u))*.
% 299.72/300.48  52290[4:MRR:52235.1,8759.0] || equal(skf46(c_Int_Onat),u)*+ -> hBOOL(u)*.
% 299.72/300.48  311[0:Inp] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.48  41052[2:SpR:12664.0,41026.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf47(v))*.
% 299.72/300.48  41125[2:SpR:12664.0,41028.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf47(v))*.
% 299.72/300.48  41152[2:SpR:12664.0,41029.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf47(v))*.
% 299.72/300.48  42569[2:SpR:12664.0,42543.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf47(v))*.
% 299.72/300.48  332[0:Inp] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.48  42624[2:SpR:12664.0,42545.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf47(v))*.
% 299.72/300.48  42662[2:SpR:12664.0,42546.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf47(v))*.
% 299.72/300.48  325[0:Inp] || equal(u,v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.72/300.48  346[0:Inp] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf65(u,v)),skf66(u,v)))*.
% 299.72/300.48  69440[8:Obv:69428.1] || equal(skf47(c_Int_Onat),u)*+ -> hBOOL(u)*.
% 299.72/300.48  13535[0:SpR:12664.0,12487.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf47(u)),skf47(u))**.
% 299.72/300.48  13536[0:SpR:12664.0,12498.0] ||  -> equal(skf60(c_fequal(skf47(u))),skf47(u))**.
% 299.72/300.48  41029[2:SpR:12664.0,40566.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf48(v))*.
% 299.72/300.48  309[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  41151[2:SpR:12553.0,41029.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf60(v))*.
% 299.72/300.48  42546[2:SpR:12664.0,41970.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf48(v))*.
% 299.72/300.48  42661[2:SpR:12553.0,42546.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf60(v))*.
% 299.72/300.48  310[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u)),v))*.
% 299.72/300.48  41050[2:SpR:12552.0,41026.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf57(v))*.
% 299.72/300.48  348[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u))*.
% 299.72/300.48  41104[2:SpR:12552.0,41027.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf57(v))*.
% 299.72/300.48  41123[2:SpR:12552.0,41028.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf57(v))*.
% 299.72/300.48  41150[2:SpR:12552.0,41029.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf57(v))*.
% 299.72/300.48  42567[2:SpR:12552.0,42543.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),skf57(v))*.
% 299.72/300.48  322[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))*.
% 299.72/300.48  42603[2:SpR:12552.0,42544.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf57(v))*.
% 299.72/300.48  42622[2:SpR:12552.0,42545.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),skf57(v))*.
% 299.72/300.48  42660[2:SpR:12552.0,42546.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),skf57(v))*.
% 299.72/300.48  327[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*+ -> SkP0(u,v)*.
% 299.72/300.48  326[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*+ -> SkP0(v,u)*.
% 299.72/300.48  12330[0:SpR:12099.0,282.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf57(u)),skf57(u))**.
% 299.72/300.48  347[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)**.
% 299.72/300.48  12341[0:SpR:12099.0,4606.0] ||  -> equal(skf60(c_fequal(skf57(u))),skf57(u))**.
% 299.72/300.48  41027[2:SpR:12552.0,40566.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf48(v))*.
% 299.72/300.48  41105[2:SpR:12553.0,41027.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf60(v))*.
% 299.72/300.48  41106[2:SpR:12664.0,41027.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf47(v))*.
% 299.72/300.48  1909[0:Rew:1878.0,330.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  42544[2:SpR:12552.0,41970.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf48(v))*.
% 299.72/300.48  42604[2:SpR:12553.0,42544.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf60(v))*.
% 299.72/300.48  42605[2:SpR:12664.0,42544.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),skf47(v))*.
% 299.72/300.48  12586[0:Rew:12519.0,342.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  291[0:Inp] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_OAbs__poly(u,c_Polynomial_Ocoeff(u,v)),v)**.
% 299.72/300.48  9233[2:SpR:8904.1,4360.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))*+ -> hBOOL(u)*.
% 299.72/300.48  10316[4:Obv:10307.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*+ -> hBOOL(u)*.
% 299.72/300.48  51857[2:Res:5747.1,51414.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*+ -> hBOOL(u)*.
% 299.72/300.48  301[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* SkP1(w,v,u)*.
% 299.72/300.48  9507[4:SpR:9368.0,8771.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf64(u))*.
% 299.72/300.48  18869[0:Obv:18827.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  51594[0:Res:3903.0,51113.1] || equal(skf48(c_COMBI(u)),skf46(c_Int_Onat))** -> .
% 299.72/300.48  12149[2:SpR:12098.0,11799.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(u))*.
% 299.72/300.48  298[0:Inp] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))* -> .
% 299.72/300.48  12348[2:SpR:12099.0,11799.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf57(u))*.
% 299.72/300.48  12505[2:SpR:12100.0,11799.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(u))*.
% 299.72/300.48  13534[2:SpR:12664.0,12505.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(u))*.
% 299.72/300.48  12148[2:SpR:12098.0,11798.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(u))*.
% 299.72/300.48  300[0:Inp] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.48  12347[2:SpR:12099.0,11798.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf57(u))*.
% 299.72/300.48  12504[2:SpR:12100.0,11798.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(u))*.
% 299.72/300.48  13533[2:SpR:12664.0,12504.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(u))*.
% 299.72/300.48  25517[0:Res:25470.0,25381.0] ||  -> SkP0(u,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  290[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),v))*.
% 299.72/300.48  55285[0:Res:54184.0,25381.0] ||  -> SkP0(u,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  55286[0:Res:54184.0,25382.0] ||  -> SkP0(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)*.
% 299.72/300.48  11909[0:Res:4985.0,11888.0] ||  -> SkP0(u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  55072[0:Res:54122.0,11888.0] ||  -> SkP0(u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  302[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  55073[0:Res:54122.0,25570.0] ||  -> SkP0(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)*.
% 299.72/300.48  40602[2:SpR:12551.0,40570.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40603[2:SpR:12552.0,40570.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40604[2:SpR:12553.0,40570.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  305[0:Inp] class_Rings_Oring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.48  40605[2:SpR:12664.0,40570.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  42116[2:SpR:12551.0,41974.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  42117[2:SpR:12552.0,41974.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  42118[2:SpR:12553.0,41974.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  303[0:Inp] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  42119[2:SpR:12664.0,41974.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  306[0:Inp] class_Rings_Oring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  307[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  293[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  294[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  6531[0:Res:5848.1,4440.0] || equal(skf47(c_COMBI(u)),skf60(c_Int_Onat))** -> .
% 299.72/300.48  6561[3:Res:5849.1,4440.0] || equal(skf47(c_COMBI(u)),skf47(c_fNot))** -> .
% 299.72/300.48  4440[0:SoR:3610.0,4352.1] || hBOOL(hAPP(c_Int_Onat,skf47(c_COMBI(u))))* -> .
% 299.72/300.48  269[0:Inp] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),v))*.
% 299.72/300.48  55411[0:Res:54454.1,4440.0] || equal(skf47(c_COMBI(u)),skf49(c_Int_Onat))** -> .
% 299.72/300.48  19332[8:Res:19253.1,4440.0] || equal(skf47(c_COMBI(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  42929[0:Res:42898.0,1606.0] ||  -> equal(skf55(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  59173[0:Res:59138.0,1606.0] ||  -> equal(skf51(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  274[0:Inp] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)**.
% 299.72/300.48  71826[4:MRR:71618.0,8759.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_COMBI(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  55070[0:Res:54122.0,327.0] ||  -> SkP0(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)*.
% 299.72/300.48  5050[0:Res:4991.0,326.0] ||  -> SkP0(u,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  55280[0:Res:54184.0,25507.0] ||  -> SkP0(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)*.
% 299.72/300.48  276[0:Inp] ||  -> equal(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))**.
% 299.72/300.48  55283[0:Res:54184.0,326.0] ||  -> SkP0(u,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  8766[4:MRR:4444.1,8759.0] || equal(skf47(c_COMBI(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  40718[2:SpR:12551.0,40572.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40719[2:SpR:12552.0,40572.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  273[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)**.
% 299.72/300.48  40720[2:SpR:12553.0,40572.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40721[2:SpR:12664.0,40572.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40935[2:SpR:12551.0,40585.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(u))*.
% 299.72/300.48  40936[2:SpR:12552.0,40585.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf57(u))*.
% 299.72/300.48  272[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),u)**.
% 299.72/300.48  40937[2:SpR:12553.0,40585.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(u))*.
% 299.72/300.48  40938[2:SpR:12664.0,40585.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(u))*.
% 299.72/300.48  42284[2:SpR:12551.0,41976.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42285[2:SpR:12552.0,41976.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  262[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),u)**.
% 299.72/300.48  42286[2:SpR:12553.0,41976.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42287[2:SpR:12664.0,41976.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42407[2:SpR:12551.0,41989.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(u))*.
% 299.72/300.48  42408[2:SpR:12552.0,41989.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf57(u))*.
% 299.72/300.48  263[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)**.
% 299.72/300.48  42409[2:SpR:12553.0,41989.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(u))*.
% 299.72/300.48  42410[2:SpR:12664.0,41989.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(u))*.
% 299.72/300.48  284[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)**.
% 299.72/300.48  283[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  268[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),u)**.
% 299.72/300.48  267[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)**.
% 299.72/300.48  1618[0:Rew:601.0,1604.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  1881[0:Rew:1878.0,275.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  58315[4:SpR:272.0,54406.0] ||  -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  259[0:Inp] hBOOL(u) || hBOOL(hAPP(c_fNot,u))* -> .
% 299.72/300.48  3963[0:Res:3903.0,384.0] ||  -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Int_Onat))))*.
% 299.72/300.48  3587[0:Con:3539.0] ||  -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,skf48(c_fNot))))*.
% 299.72/300.48  57986[2:SpR:262.0,54139.0] ||  -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  248[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  1940[0:SpR:233.0,282.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.48  4643[0:Res:4591.0,286.0] ||  -> equal(skf60(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.48  11812[2:SpR:233.0,11798.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  68641[10:SoR:3610.0,68616.1] || equal(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  1879[0:Rew:1878.0,258.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(u)))*.
% 299.72/300.48  71825[10:Res:38830.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  55758[0:Res:144.0,54411.0] ||  -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  1939[0:SpR:235.0,282.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  4622[0:Res:4590.0,286.0] ||  -> equal(skf60(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  245[0:Inp] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.72/300.48  11830[2:SpR:235.0,11799.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  11811[2:SpR:235.0,11798.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40608[2:SpR:12610.0,40570.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40724[2:SpR:12610.0,40572.0] ||  -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  243[0:Inp] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  42122[2:SpR:12610.0,41974.0] ||  -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  251[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.72/300.48  68768[2:SoR:3610.0,68743.1] || equal(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  2527[0:SpR:386.0,2502.0] ||  -> SkP1(u,v,c_Int_Onat__aux(w,v))*.
% 299.72/300.48  2491[0:Res:301.0,2481.0] ||  -> SkP1(u,v,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  257[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(u)))*.
% 299.72/300.48  26602[2:SpR:12553.0,26577.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u),v)*.
% 299.72/300.48  26600[2:SpR:12551.0,26577.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u),v)*.
% 299.72/300.48  26678[2:SpR:12553.0,26578.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u),v)*.
% 299.72/300.48  26676[2:SpR:12551.0,26578.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u),v)*.
% 299.72/300.48  256[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf57(u)))*.
% 299.72/300.48  9510[0:SpR:9368.0,2506.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf64(v))*.
% 299.72/300.48  16095[0:SpR:313.1,16085.0] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> SkP0(u,v)*.
% 299.72/300.48  19138[0:Obv:19128.0] ||  -> SkP0(u,skf48(c_fequal(skf64(v))))*.
% 299.72/300.48  18868[0:MRR:18796.1,251.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.48  253[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(u)))*.
% 299.72/300.48  26679[2:SpR:12664.0,26578.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u),v)*.
% 299.72/300.48  26603[2:SpR:12664.0,26577.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u),v)*.
% 299.72/300.48  26677[2:SpR:12552.0,26578.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u),v)*.
% 299.72/300.48  26601[2:SpR:12552.0,26577.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u),v)*.
% 299.72/300.48  252[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(u)))*.
% 299.72/300.48  21249[0:MRR:21248.0,220.0] ||  -> equal(skf45(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u),u)**.
% 299.72/300.48  21773[0:MRR:21772.0,220.0] ||  -> equal(skf44(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u),u)**.
% 299.72/300.48  62617[0:Rew:9454.0,62500.0] ||  -> equal(skf44(u,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  2545[0:Rew:270.0,2531.0] ||  -> equal(c_Int_Onat__aux(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u),u)**.
% 299.72/300.48  255[0:Inp] ||  -> c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  2441[0:Res:245.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  2375[0:Res:245.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  3903[0:Res:144.0,3589.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf48(c_COMBI(u))))*.
% 299.72/300.48  65646[2:SpL:12664.0,65597.0] || equal(skf47(u),skf49(c_fNot))* -> .
% 299.72/300.48  246[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  65644[2:SpL:12552.0,65597.0] || equal(skf57(u),skf49(c_fNot))** -> .
% 299.72/300.48  16898[0:Res:16876.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  26680[2:SpR:12609.0,26578.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  16897[0:Res:16876.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  242[0:Inp] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  26604[2:SpR:12609.0,26577.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  9522[0:SpL:9368.0,218.0] || equal(skf64(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> .
% 299.72/300.48  2376[0:Res:243.0,333.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  8761[4:MRR:2365.0,8759.0] ||  -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  254[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  2442[0:Res:243.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  8762[4:MRR:2425.0,8759.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.48  8763[4:MRR:2428.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.48  8764[4:MRR:2431.0,8759.0] ||  -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  226[0:Inp] ||  -> equal(u,v) SkP2(w,v,u)*.
% 299.72/300.48  26682[2:SpR:12610.0,26578.0] ||  -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  26606[2:SpR:12610.0,26577.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  108659[17:Rew:2526.0,108657.0] ||  -> hBOOL(c_Int_Onat__aux(skf48(c_Nat_OSuc),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  50957[0:SoR:3610.0,50956.1] || hBOOL(hAPP(c_Int_Onat,skf46(c_Int_Onat)))* -> .
% 299.72/300.48  236[0:Inp] class_Lattices_Oboolean__algebra(u) ||  -> class_Lattices_Oboolean__algebra(tc_fun(v,u))*.
% 299.72/300.48  51123[0:Res:5848.1,50957.0] || equal(skf60(c_Int_Onat),skf46(c_Int_Onat))** -> .
% 299.72/300.48  54464[0:Res:54335.0,51113.1] || equal(skf49(c_Int_Onat),skf46(c_Int_Onat))** -> .
% 299.72/300.48  54476[4:SoR:54468.0,52290.1] || equal(skf49(c_fNot),skf46(c_Int_Onat))** -> .
% 299.72/300.48  6548[3:SoR:3610.0,5849.1] || equal(skf48(c_fNot),skf47(c_fNot))** -> .
% 299.72/300.48  230[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),u))* -> .
% 299.72/300.48  51122[3:Res:5849.1,50957.0] || equal(skf47(c_fNot),skf46(c_Int_Onat))** -> .
% 299.72/300.48  6872[0:Res:5840.1,4320.0] || equal(skf48(c_Int_Onat),skf47(c_Int_Onat))** -> .
% 299.72/300.48  52286[8:MRR:49184.0,52285.0] || equal(skf48(c_fNot),skf47(c_Int_Onat))** -> .
% 299.72/300.48  52287[8:MRR:51589.1,52285.0] || equal(skf47(c_Int_Onat),skf46(c_Int_Onat))** -> .
% 299.72/300.48  222[0:Inp] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),u))*.
% 299.72/300.48  65651[8:SpL:48262.0,65597.0] || equal(skf49(c_fNot),skf47(c_Int_Onat))** -> .
% 299.72/300.48  6545[0:SoR:3610.0,6540.1] || equal(skf60(c_Int_Onat),skf57(c_Int_Onat))** -> .
% 299.72/300.48  6584[3:SoR:3610.0,6570.1] || equal(skf57(c_Int_Onat),skf47(c_fNot))** -> .
% 299.72/300.48  55479[0:SoR:3610.0,55431.1] || equal(skf57(c_Int_Onat),skf49(c_Int_Onat))** -> .
% 299.72/300.48  220[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))*.
% 299.72/300.48  8948[0:Rew:225.0,8907.0] ||  -> equal(skf64(c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  55284[2:Res:54184.0,52308.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  55071[2:Res:54122.0,53554.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.72/300.48  54473[2:SoR:54468.0,9233.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf49(c_fNot))** -> .
% 299.72/300.48  218[0:Inp] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  1844[0:SpL:219.0,146.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  9454[0:Rew:283.0,9394.0] ||  -> equal(skf50(c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  19251[8:SoR:6731.0,19248.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf48(c_fNot))** -> .
% 299.72/300.48  19402[8:SoR:3610.0,19346.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Int_Onat))** -> .
% 299.72/300.48  225[0:Inp] ||  -> equal(hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  51120[8:Res:19253.1,50957.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf46(c_Int_Onat))** -> .
% 299.72/300.48  54474[4:SoR:54468.0,10316.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf49(c_fNot))** -> .
% 299.72/300.48  71824[8:Res:19248.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Int_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  12609[0:Rew:12519.0,233.0] ||  -> equal(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.48  55067[2:Res:54122.0,51414.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  55279[2:Res:54184.0,52144.0] ||  -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.48  8765[4:MRR:4469.0,8759.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(c_fNot))** -> .
% 299.72/300.48  8770[4:MRR:7937.0,8759.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf57(c_Int_Onat))** -> .
% 299.72/300.48  219[0:Inp] ||  -> equal(hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  19249[8:MRR:4357.1,19248.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.72/300.48  51126[4:MRR:51118.1,8759.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf46(c_Int_Onat))** -> .
% 299.72/300.48  54475[2:SoR:54468.0,51857.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf49(c_fNot))** -> .
% 299.72/300.48  224[0:Inp] ||  -> equal(hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  4375[2:MRR:2427.0,4367.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,u)*.
% 299.72/300.48  16886[0:Res:16875.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,u)*.
% 299.72/300.48  2440[0:Res:222.0,334.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,u)*.
% 299.72/300.48  8760[4:MRR:2426.0,8759.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,u)*.
% 299.72/300.48  12610[0:Rew:12519.0,235.0] ||  -> equal(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  59026[14:Spt:59025.0,47607.0] ||  -> SkP0(u,skf62(c_Int_Onat,v))*.
% 299.72/300.48  50757[11:Spt:50756.0,47606.0] ||  -> SkP0(skf62(c_Int_Onat,u),v)*.
% 299.72/300.48  18851[4:MRR:18835.0,8759.0] ||  -> SkP0(u,skf47(c_COMBI(v)))*.
% 299.72/300.48  1981[0:Res:301.0,251.0] ||  -> SkP1(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.72/300.48  192[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Rings_Osemiring__1(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  51954[2:SpR:313.1,51888.0] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> hBOOL(u)*.
% 299.72/300.48  54359[0:Res:3587.0,51176.0] ||  -> hBOOL(hAPP(c_fNot,skf49(c_fNot)))*.
% 299.72/300.48  54335[0:Res:3903.0,51176.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf49(c_Int_Onat)))*.
% 299.72/300.48  4253[0:Res:144.0,4212.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf60(c_Int_Onat)))*.
% 299.72/300.48  211[0:Inp] ||  -> hBOOL(u) hBOOL(hAPP(c_fNot,u))*.
% 299.72/300.48  4426[3:Spt:4425.0,4339.0] ||  -> hBOOL(hAPP(c_Int_Onat,skf47(c_fNot)))*.
% 299.72/300.48  19248[8:Spt:18791.1] ||  -> hBOOL(hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  77749[16:Spt:77669.1] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  1980[0:Res:301.0,230.0] ||  -> SkP1(u,v,v)*.
% 299.72/300.48  149[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),u))*.
% 299.72/300.48  2052[0:Res:253.0,327.0] ||  -> SkP0(skf48(u),v)*.
% 299.72/300.48  2050[0:Res:257.0,327.0] ||  -> SkP0(skf60(u),v)*.
% 299.72/300.48  2053[0:Res:252.0,327.0] ||  -> SkP0(skf47(u),v)*.
% 299.72/300.48  2051[0:Res:256.0,327.0] ||  -> SkP0(skf57(u),v)*.
% 299.72/300.48  150[0:Inp] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),u))*.
% 299.72/300.48  18852[4:Obv:18823.0] ||  -> SkP0(u,skf48(c_fNot))*.
% 299.72/300.48  54613[0:Res:144.0,54385.0] ||  -> hBOOL(skf49(c_COMBI(u)))*.
% 299.72/300.48  53713[13:Spt:53712.0,52311.0] ||  -> hBOOL(skf62(c_Int_Onat,u))*.
% 299.72/300.48  51124[4:MRR:51115.0,8759.0] ||  -> SkP0(u,skf46(c_Int_Onat))*.
% 299.72/300.48  147[0:Inp] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  51125[4:MRR:51117.0,8759.0] ||  -> SkP0(skf46(c_Int_Onat),u)*.
% 299.72/300.48  19250[8:MRR:18830.0,19248.0] ||  -> SkP0(u,skf47(c_Int_Onat))*.
% 299.72/300.48  18897[5:Spt:18896.0,18873.0] ||  -> SkP0(u,skf57(c_Int_Onat))*.
% 299.72/300.48  2056[0:Res:254.0,326.0] ||  -> SkP0(u,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  129[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Osemiring__1(u)*.
% 299.72/300.48  2049[0:Res:246.0,327.0] ||  -> SkP0(c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.72/300.48  19028[7:Spt:18877.1] ||  -> SkP0(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  18991[6:Spt:18805.1] ||  -> SkP0(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.48  2048[0:Res:150.0,327.0] ||  -> SkP0(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.48  144[0:Inp] ||  -> hBOOL(hAPP(c_fequal(u),u))*.
% 299.72/300.48  13532[2:SpR:12664.0,12497.0] ||  -> hBOOL(skf47(u))*.
% 299.72/300.48  12340[2:SpR:12099.0,4360.0] ||  -> hBOOL(skf57(u))*.
% 299.72/300.48  52283[4:MRR:52265.0,8759.0] ||  -> hBOOL(skf46(c_Int_Onat))*.
% 299.72/300.48  4368[2:SpR:233.0,4360.0] ||  -> hBOOL(c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  109[0:Inp] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skc4)** -> .
% 299.72/300.48  8759[4:Spt:8639.1] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  4367[2:SpR:235.0,4360.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  108626[17:Spt:108612.0,54115.2] ||  -> hBOOL(hAPP(c_Nat_OSuc,skf49(c_Nat_OSuc)))*.
% 299.72/300.48  39778[0:SSi:39772.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),u))* -> .
% 299.72/300.48  38559[0:SSi:38525.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),u))* -> .
% 299.72/300.48  38553[0:SSi:38480.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> .
% 299.72/300.48  76570[15:Obv:76569.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,w)))*.
% 299.72/300.48  76473[15:SSi:76415.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u)),v),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.72/300.48  38540[0:SSi:38457.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> .
% 299.72/300.48  961[0:Inp] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) c_Polynomial_Opos__poly(u,w).
% 299.72/300.48  28828[0:MRR:28825.1,20514.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),u))* -> .
% 299.72/300.48  74165[0:MRR:74164.1,63736.1] class_Groups_Oordered__ab__group__add(tc_Nat_Onat) ||  -> .
% 299.72/300.48  71203[0:SpR:2526.0,70899.0] ||  -> equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))**.
% 299.72/300.48  70899[0:Rew:9887.0,70763.0] ||  -> equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u)**.
% 299.72/300.48  70663[0:SpR:2526.0,70381.0] ||  -> equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))**.
% 299.72/300.48  70381[0:Rew:9887.0,70246.0] ||  -> equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u)**.
% 299.72/300.48  69878[0:SpL:9368.0,20169.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  20135[0:Rew:15222.0,20109.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  67796[15:Obv:67795.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,w)))*.
% 299.72/300.48  67619[15:SSi:67618.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,u)),v),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.72/300.48  67570[15:Con:67492.0] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,v_cs____),u),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.72/300.48  67636[15:Obv:67635.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(t_a,v_cs____))*.
% 299.72/300.48  66752[0:SSi:66751.0,107.0] || equal(hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))** -> .
% 299.72/300.48  1005[0:Inp] || equal(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____))** -> .
% 299.72/300.48  65645[2:SpL:12553.0,65597.0] || equal(skf60(u),skf49(c_fNot))** -> .
% 299.72/300.48  65597[2:Obv:65454.0] || equal(skf48(u),skf49(c_fNot))* -> .
% 299.72/300.48  61982[0:AED:109.0,61964.1] || equal(skf46(c_fequal(u)),u)** -> .
% 299.72/300.48  12538[0:SpL:12100.0,388.0] || hBOOL(hAPP(u,skf48(v)))*+ -> hBOOL(hAPP(u,skf60(u)))*.
% 299.72/300.48  12183[0:SpL:12098.0,388.0] || hBOOL(hAPP(u,skf60(v)))*+ -> hBOOL(hAPP(u,skf60(u)))*.
% 299.72/300.48  59154[0:Res:59127.0,336.0] || equal(skf51(skf64(u),v),skf64(u))** -> .
% 299.72/300.48  879[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))* -> equal(v,w).
% 299.72/300.48  58485[2:SpR:266.0,54544.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u).
% 299.72/300.48  895[0:Inp] class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w))* -> equal(v,x).
% 299.72/300.48  897[0:Inp] class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x))* -> equal(w,x).
% 299.72/300.48  896[0:Inp] class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x))* -> equal(w,x).
% 299.72/300.48  853[0:Inp] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),v))*.
% 299.72/300.48  854[0:Inp] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),v))*.
% 299.72/300.48  855[0:Inp] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),w))* -> c_Polynomial_Opos__poly(u,w) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.72/300.48  55634[0:MRR:55626.1,55295.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u))* -> .
% 299.72/300.48  55301[0:SSi:55287.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u))* -> .
% 299.72/300.48  834[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.72/300.48  836[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)).
% 299.72/300.48  55085[0:SSi:55074.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u))* -> .
% 299.72/300.48  56158[0:MRR:55501.1,56144.0] || equal(skf49(c_fNot),skf46(c_fNot))** -> .
% 299.72/300.48  55402[0:SpR:3614.0,54454.1] || equal(skf48(c_fequal(u)),skf49(c_Int_Onat))** -> hBOOL(u).
% 299.72/300.48  867[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.48  55295[0:Res:54184.0,331.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),u)** -> .
% 299.72/300.48  892[0:Inp] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.72/300.48  54599[0:Res:54120.0,286.0] ||  -> equal(skf49(c_fequal(u)),u)**.
% 299.72/300.48  54453[0:SoR:6731.0,54335.0] || equal(skf49(c_Int_Onat),skf48(c_fNot))** -> .
% 299.72/300.48  54468[0:Res:54359.0,259.1] hBOOL(skf49(c_fNot)) ||  -> .
% 299.72/300.48  51176[0:SSi:51175.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(u,v))*+ -> hBOOL(hAPP(u,skf49(u)))*.
% 299.72/300.48  52539[4:SoR:10682.1,52303.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),skf48(c_fNot))** -> .
% 299.72/300.48  52536[4:SoR:3610.0,52303.1] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),skf48(c_fNot))** -> .
% 299.72/300.48  52292[2:Rew:3614.0,52151.1,2525.0,52151.1] ||  -> hBOOL(u) equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  51464[0:SoR:3610.0,51083.1] || hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.72/300.48  51410[0:MRR:51409.0,253.0] || hBOOL(skf58(c_Int_Onat))* -> .
% 299.72/300.48  51254[0:SoR:3610.0,51066.1] || hBOOL(skf46(c_COMBI(u)))* -> .
% 299.72/300.48  51227[12:Spt:51226.0,51032.0] ||  -> hBOOL(skf46(c_fNot))*.
% 299.72/300.48  50956[0:SSi:50955.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(u,skf46(u)))*+ -> hBOOL(hAPP(u,v))*.
% 299.72/300.48  745[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w))**.
% 299.72/300.48  50290[4:SoR:3610.0,47602.1] || hBOOL(skf62(c_COMBI(u),v))* -> .
% 299.72/300.48  45121[0:Rew:313.1,45120.1,266.0,45120.1] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u)**.
% 299.72/300.48  42887[0:SpL:9368.0,42446.0] || equal(skf48(c_fequal(skf50(skf64(u)))),skf48(c_fequal(skf64(u))))** -> .
% 299.72/300.48  42912[0:Res:41849.0,336.0] || equal(skf55(skf64(u),v),skf64(u))** -> .
% 299.72/300.48  42446[0:SSi:42445.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),skf48(c_fequal(u)))** -> .
% 299.72/300.48  691[0:Inp] class_Groups_Ouminus(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(v,u)),w),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,x)))**.
% 299.72/300.48  734[0:Inp] class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,v) equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.72/300.48  741[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))**.
% 299.72/300.48  7199[0:SpR:3614.0,6866.1] || equal(skf48(c_fequal(skf48(c_fequal(u)))),skf48(c_Int_Onat))** -> hBOOL(u).
% 299.72/300.48  644[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.72/300.48  38533[0:SSi:38473.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u))* -> .
% 299.72/300.48  38532[0:SSi:38472.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u))* -> .
% 299.72/300.48  656[0:Inp] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Orderings_Oord__class_OLeast(u,v)))* -> .
% 299.72/300.48  636[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*+ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> equal(v,u).
% 299.72/300.48  28826[0:MRR:28805.1,26125.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u))* -> .
% 299.72/300.48  584[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.72/300.48  586[0:Inp] class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.48  464[0:Inp] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w))*+ -> hBOOL(hAPP(v,c_Orderings_Oord__class_OLeast(u,v)))*.
% 299.72/300.48  6528[0:SpR:3614.0,5848.1] || equal(skf48(c_fequal(u)),skf60(c_Int_Onat))** -> hBOOL(u).
% 299.72/300.48  435[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.48  31409[0:AED:109.0,1716.2] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.48  384[0:Inp] || hBOOL(hAPP(u,v))*+ -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf48(u))))*.
% 299.72/300.48  370[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.48  385[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.48  297[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))* -> .
% 299.72/300.48  286[0:Inp] || hBOOL(hAPP(c_fequal(u),v))* -> equal(u,v).
% 299.72/300.48  288[0:Inp] || hBOOL(hAPP(hAPP(c_fconj,u),v))* -> hBOOL(v).
% 299.72/300.48  287[0:Inp] || hBOOL(hAPP(hAPP(c_fconj,u),v))* -> hBOOL(u).
% 299.72/300.48  28429[4:Obv:28420.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),skf48(c_fNot))** -> .
% 299.72/300.48  26125[0:Res:26075.0,331.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),u)** -> .
% 299.72/300.48  602[0:Inp] ||  -> equal(hAPP(hAPP(hAPP(c_COMBB(u,v,w),x),y),z),hAPP(x,hAPP(y,z)))**.
% 299.72/300.48  17473[0:Rew:3654.0,17442.0] || equal(c_Int_Onat__aux(u,v),c_Int_Onat__aux(u,w))* -> equal(v,w).
% 299.72/300.48  24100[0:AED:109.0,24099.1] class_Groups_Oab__group__add(tc_Nat_Onat) ||  -> .
% 299.72/300.48  10865[0:Obv:10864.1] class_Rings_Omult__zero(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  18347[0:SpR:9368.0,18149.0] ||  -> equal(c_Int_Onat__aux(u,skf50(skf64(v))),skf50(c_Int_Onat__aux(u,skf64(v))))**.
% 299.72/300.48  22531[0:SoR:22521.0,131.1] class_Rings_Oidom(tc_Nat_Onat) ||  -> .
% 299.72/300.48  22521[0:MRR:22520.1,146.0] class_Groups_Ogroup__add(tc_Nat_Onat) ||  -> .
% 299.72/300.48  22064[0:SpR:21824.0,9887.0] ||  -> equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf64(u)),skf50(skf64(u)))**.
% 299.72/300.48  21517[0:SpR:21277.0,9887.0] ||  -> equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf64(u)),skf50(skf64(u)))**.
% 299.72/300.48  20514[0:Res:19575.0,331.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u)** -> .
% 299.72/300.48  551[0:Inp] ||  -> equal(hAPP(hAPP(c_COMBC(u,v,w,x),y),z),hAPP(hAPP(x,z),y))**.
% 299.72/300.48  492[0:Inp] || equal(hAPP(u,skf33(v,u)),hAPP(v,skf33(v,u)))* -> equal(u,v).
% 299.72/300.48  541[0:Inp] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),w),v))*.
% 299.72/300.48  18191[0:SpL:15222.0,146.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(u,v))** -> .
% 299.72/300.48  18149[0:SpR:15222.0,9887.0] ||  -> equal(skf50(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(u,v))**.
% 299.72/300.48  15222[0:Rew:3632.0,15170.0] ||  -> equal(hAPP(c_Nat_OSuc,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))**.
% 299.72/300.48  3752[0:Rew:3621.0,3679.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(w)),v))* -> equal(u,w).
% 299.72/300.48  15737[0:Res:10516.1,286.0] class_Orderings_Owellorder(u) ||  -> equal(c_Orderings_Oord__class_OLeast(u,c_fequal(v)),v)**.
% 299.72/300.48  3753[0:Rew:3621.0,3686.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)))**.
% 299.72/300.48  12492[0:SpR:12100.0,2667.0] ||  -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v),v)**.
% 299.72/300.48  12553[0:Rew:12519.0,12098.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,skf60(u)))),skf60(u))**.
% 299.72/300.48  12551[0:Rew:12519.0,12100.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,skf48(u)))),skf48(u))**.
% 299.72/300.48  12519[0:SpR:3614.0,12100.0] ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint,u),skf48(c_fequal(u)))**.
% 299.72/300.48  12873[0:Rew:12519.0,12566.0] || equal(skf48(c_fequal(u)),skf48(c_fequal(v)))* -> equal(u,v).
% 299.72/300.48  12498[0:SpR:12100.0,4606.0] ||  -> equal(skf60(c_fequal(skf48(u))),skf48(u))**.
% 299.72/300.48  12497[2:SpR:12100.0,4360.0] ||  -> hBOOL(skf48(u))*.
% 299.72/300.48  12142[0:SpR:12098.0,4606.0] ||  -> equal(skf60(c_fequal(skf60(u))),skf60(u))**.
% 299.72/300.48  12141[2:SpR:12098.0,4360.0] ||  -> hBOOL(skf60(u))*.
% 299.72/300.48  11444[0:SpL:9368.0,11348.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,skf64(v))),skf50(skf64(v)))** -> .
% 299.72/300.48  9714[0:SpL:3749.0,9535.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),skf50(skf64(u)))** -> .
% 299.72/300.48  11348[0:Res:382.1,9621.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),v)** -> .
% 299.72/300.48  10790[0:Res:382.1,9619.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),u)** -> .
% 299.72/300.48  10851[0:Obv:10850.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_COMBK(w,x),y))*.
% 299.72/300.48  10857[0:Obv:10856.0] ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  441[0:Inp] || equal(hAPP(u,skf35(u)),hAPP(u,skf34(u)))**+ -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,u)*.
% 299.72/300.48  10671[0:SoR:6731.0,10603.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat),skf48(c_fNot))** -> .
% 299.72/300.48  10682[0:Res:10604.1,259.1] class_Orderings_Owellorder(u) hBOOL(c_Orderings_Oord__class_OLeast(u,c_fNot)) ||  -> .
% 299.72/300.48  10301[4:SpR:9887.0,10224.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u).
% 299.72/300.48  9930[0:SpR:2526.0,9887.0] ||  -> equal(skf50(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))**.
% 299.72/300.48  9887[0:Rew:347.0,9819.0] ||  -> equal(skf50(hAPP(c_Nat_OSuc,u)),u)**.
% 299.72/300.48  9752[0:Rew:3614.0,9733.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),v)** -> .
% 299.72/300.48  9538[0:SpL:9368.0,3635.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),u)** -> .
% 299.72/300.48  9536[0:SpL:9368.0,3118.0] || equal(c_Int_Onat__aux(u,skf64(v)),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.48  9535[0:SpL:9368.0,3051.0] || equal(c_Int_Onat__aux(u,skf64(v)),skf50(skf64(v)))** -> .
% 299.72/300.48  9524[0:SpL:9368.0,3122.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  449[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.72/300.48  9368[0:Res:1879.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf64(u))),skf64(u))**.
% 299.72/300.48  1728[0:Res:349.1,1005.0] || c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)))* -> .
% 299.72/300.48  407[0:Inp] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.48  6914[2:SpR:266.0,5951.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u).
% 299.72/300.48  7188[0:SoR:3610.0,6866.1] || equal(skf48(c_fequal(skf48(c_fNot))),skf48(c_Int_Onat))** -> .
% 299.72/300.48  6971[0:Res:6728.1,259.1] hBOOL(u) || equal(skf48(c_fequal(u)),skf48(c_fNot))** -> .
% 299.72/300.48  6793[0:SoR:6731.0,5525.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf48(c_fNot))** -> .
% 299.72/300.48  6795[0:SoR:6731.0,3963.0] || equal(hAPP(c_Int_Onat,skf48(c_Int_Onat)),skf48(c_fNot))** -> .
% 299.72/300.48  6687[0:SoR:3610.0,5839.1] || equal(skf48(c_COMBI(u)),skf48(c_fNot))** -> .
% 299.72/300.48  349[0:Inp] || c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,w)*+ -> equal(hAPP(w,x),hAPP(w,y))*.
% 299.72/300.48  6518[0:SoR:3610.0,5848.1] || equal(skf60(c_Int_Onat),skf48(c_fNot))** -> .
% 299.72/300.48  379[0:Inp] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(u,v,w),hAPP(c_Nat_OSuc,x)),hAPP(w,x))**.
% 299.72/300.48  373[0:Inp] class_Power_Opower(u) ||  -> equal(c_Power_Opower_Opower(u,c_Groups_Oone__class_Oone(u),c_Groups_Otimes__class_Otimes(u)),c_Power_Opower__class_Opower(u))**.
% 299.72/300.48  3635[0:Rew:3621.0,3068.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),u)** -> .
% 299.72/300.48  3622[0:SpR:3614.0,2526.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u))**.
% 299.72/300.48  3632[0:Rew:3621.0,2546.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Int_Onat,u))),v),c_Int_Onat__aux(u,v))**.
% 299.72/300.48  3749[0:Rew:3621.0,3631.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.72/300.48  3614[0:Res:3535.0,286.0] ||  -> equal(hAPP(c_Int_Onat,skf48(c_fequal(u))),u)**.
% 299.72/300.48  3610[0:Res:3587.0,259.1] hBOOL(hAPP(c_Int_Onat,skf48(c_fNot))) ||  -> .
% 299.72/300.48  3163[0:SpL:2526.0,3118.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.48  3060[0:SpL:2526.0,3051.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,v))** -> .
% 299.72/300.48  3118[0:SpL:2546.0,3068.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.48  3122[0:Rew:2544.0,3110.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  3051[0:Res:2750.0,336.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),v)** -> .
% 299.72/300.48  2890[0:SpL:2526.0,146.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.48  2526[0:SpR:386.0,318.0] ||  -> equal(hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.72/300.48  313[0:Inp] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),v)**.
% 299.72/300.48  2268[0:Res:2032.0,336.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),u)** -> .
% 299.72/300.48  1607[0:Rew:219.0,454.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  285[0:Inp] ||  -> equal(hAPP(hAPP(c_COMBK(u,v),w),x),w)**.
% 299.72/300.48  278[0:Inp] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* -> .
% 299.72/300.48  261[0:Inp] class_Rings_Ozero__neq__one(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  266[0:Inp] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u)**.
% 299.72/300.48  238[0:Inp] class_Orderings_Oorder(u) ||  -> class_Orderings_Oorder(tc_fun(v,u))*.
% 299.72/300.48  237[0:Inp] class_Orderings_Opreorder(u) ||  -> class_Orderings_Opreorder(tc_fun(v,u))*.
% 299.72/300.48  239[0:Inp] class_Orderings_Oord(u) ||  -> class_Orderings_Oord(tc_fun(v,u))*.
% 299.72/300.48  241[0:Inp] class_Groups_Ominus(u) ||  -> class_Groups_Ominus(tc_fun(v,u))*.
% 299.72/300.48  240[0:Inp] class_Groups_Ouminus(u) ||  -> class_Groups_Ouminus(tc_fun(v,u))*.
% 299.72/300.48  1603[0:MRR:289.0,107.0] || c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,v_p))* -> .
% 299.72/300.48  210[0:Inp] ||  -> equal(hAPP(c_COMBI(u),v),v)**.
% 299.72/300.48  146[0:Inp] || equal(hAPP(c_Nat_OSuc,u),u)** -> .
% 299.72/300.48  207[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oidom(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  180[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  179[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__idom(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  181[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  171[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  164[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  205[0:Inp] class_Groups_Ozero(u) ||  -> class_Groups_Ozero(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  194[0:Inp] class_Groups_Oab__group__add(u) ||  -> class_Groups_Ogroup__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  168[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  184[0:Inp] class_Groups_Oab__group__add(u) ||  -> class_Groups_Oab__group__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  197[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Orderings_Oorder(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  160[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  157[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  202[0:Inp] class_Rings_Ocomm__ring__1(u) ||  -> class_Rings_Oring__1(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  187[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Orderings_Opreorder(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  159[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  177[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  190[0:Inp] class_Rings_Ocomm__ring__1(u) ||  -> class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  186[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Oordered__ring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  204[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Power_Opower(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  196[0:Inp] class_Rings_Ocomm__ring(u) ||  -> class_Rings_Ocomm__ring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  189[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Groups_Omonoid__mult(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  154[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  188[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Orderings_Olinorder(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  200[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Orderings_Oord(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  152[0:Inp] class_Rings_Oidom(u) ||  -> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  209[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Rings_Odvd(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  193[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> class_Rings_Osemiring__0(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  206[0:Inp] class_Rings_Ocomm__ring(u) ||  -> class_Rings_Oring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  153[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  198[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Int_Oring__char__0(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  195[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> class_Rings_Omult__zero(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  203[0:Inp] class_Groups_Oab__group__add(u) ||  -> class_Groups_Ominus(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  169[0:Inp] class_Groups_Ocancel__comm__monoid__add(u) ||  -> class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  162[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  176[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  173[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  185[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  175[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Oordered__semiring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  201[0:Inp] class_Groups_Oab__group__add(u) ||  -> class_Groups_Ouminus(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  151[0:Inp] class_Groups_Ocancel__comm__monoid__add(u) ||  -> class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  165[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  158[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  163[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  178[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__ring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  191[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> class_Groups_Omonoid__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  208[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> class_Groups_Oone(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  170[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  183[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Nat_Osemiring__char__0(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  172[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  182[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  199[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> class_Rings_Osemiring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  174[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  161[0:Inp] class_Groups_Ocancel__comm__monoid__add(u) ||  -> class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  155[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  166[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  156[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  167[0:Inp] class_Rings_Olinordered__idom(u) ||  -> class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(u))*.
% 299.72/300.48  121[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ocomm__semiring__1(u)*.
% 299.72/300.48  122[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ocomm__semiring__0(u)*.
% 299.72/300.48  139[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ozero(u)*.
% 299.72/300.48  131[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ogroup__add(u)*.
% 299.72/300.48  124[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Oab__group__add(u)*.
% 299.72/300.48  136[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oring__1(u)*.
% 299.72/300.48  120[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ocomm__monoid__add(u)*.
% 299.72/300.48  127[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ocomm__ring__1(u)*.
% 299.72/300.48  133[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ocomm__ring(u)*.
% 299.72/300.48  138[0:Inp] class_Rings_Oidom(u) ||  -> class_Power_Opower(u)*.
% 299.72/300.48  126[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Omonoid__mult(u)*.
% 299.72/300.48  111[0:Inp] class_Rings_Oidom(u) ||  -> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u)*.
% 299.72/300.48  142[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Odvd(u)*.
% 299.72/300.48  130[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Osemiring__0(u)*.
% 299.72/300.48  140[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oring(u)*.
% 299.72/300.48  115[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ocancel__semigroup__add(u)*.
% 299.72/300.48  132[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Omult__zero(u)*.
% 299.72/300.48  137[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ominus(u)*.
% 299.72/300.48  113[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oring__1__no__zero__divisors(u)*.
% 299.72/300.48  117[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ocomm__monoid__mult(u)*.
% 299.72/300.48  119[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ono__zero__divisors(u)*.
% 299.72/300.48  125[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ozero__neq__one(u)*.
% 299.72/300.48  135[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ouminus(u)*.
% 299.72/300.48  143[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ocancel__comm__monoid__add(u)*.
% 299.72/300.48  114[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Oring__no__zero__divisors(u)*.
% 299.72/300.48  128[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Omonoid__add(u)*.
% 299.72/300.48  112[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Ocancel__ab__semigroup__add(u)*.
% 299.72/300.48  116[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Oab__semigroup__mult(u)*.
% 299.72/300.48  118[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Oab__semigroup__add(u)*.
% 299.72/300.48  123[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Ocomm__semiring(u)*.
% 299.72/300.48  134[0:Inp] class_Rings_Oidom(u) ||  -> class_Rings_Osemiring(u)*.
% 299.72/300.48  141[0:Inp] class_Rings_Oidom(u) ||  -> class_Groups_Oone(u)*.
% 299.72/300.48  110[0:Inp] || equal(c_Groups_Ozero__class_Ozero(t_a),skc3)** -> .
% 299.72/300.48  108[0:Inp] || hBOOL(c_fFalse)* -> .
% 299.72/300.48  58[0:Inp] ||  -> class_Rings_Oidom(tc_Int_Oint)*.
% 299.72/300.48  107[0:Inp] ||  -> class_Rings_Oidom(t_a)*.
% 299.72/300.48  31[0:Inp] ||  -> class_Rings_Ocomm__semiring__1(tc_Int_Oint)*.
% 299.72/300.48  80[0:Inp] ||  -> class_Rings_Ocomm__semiring__1(tc_Nat_Onat)*.
% 299.72/300.48  30[0:Inp] ||  -> class_Rings_Olinordered__idom(tc_Int_Oint)*.
% 299.72/300.48  32[0:Inp] ||  -> class_Rings_Ocomm__semiring__0(tc_Int_Oint)*.
% 299.72/300.48  81[0:Inp] ||  -> class_Rings_Ocomm__semiring__0(tc_Nat_Onat)*.
% 299.72/300.48  22[0:Inp] ||  -> class_Rings_Olinordered__semidom(tc_Int_Oint)*.
% 299.72/300.48  73[0:Inp] ||  -> class_Rings_Olinordered__semidom(tc_Nat_Onat)*.
% 299.72/300.48  15[0:Inp] ||  -> class_Rings_Olinordered__ring__strict(tc_Int_Oint)*.
% 299.72/300.48  56[0:Inp] ||  -> class_Groups_Ozero(tc_Int_Oint)*.
% 299.72/300.48  98[0:Inp] ||  -> class_Groups_Ozero(tc_Nat_Onat)*.
% 299.72/300.48  45[0:Inp] ||  -> class_Groups_Ogroup__add(tc_Int_Oint)*.
% 299.72/300.48  19[0:Inp] ||  -> class_Groups_Oordered__ab__group__add(tc_Int_Oint)*.
% 299.72/300.48  35[0:Inp] ||  -> class_Groups_Oab__group__add(tc_Int_Oint)*.
% 299.72/300.48  48[0:Inp] ||  -> class_Orderings_Oorder(tc_Int_Oint)*.
% 299.72/300.48  93[0:Inp] ||  -> class_Orderings_Oorder(tc_Nat_Onat)*.
% 299.72/300.48  103[0:Inp] ||  -> class_Orderings_Oorder(tc_HOL_Obool)*.
% 299.72/300.48  11[0:Inp] ||  -> class_Groups_Olinordered__ab__group__add(tc_Int_Oint)*.
% 299.72/300.48  8[0:Inp] ||  -> class_Rings_Olinordered__semiring__strict(tc_Int_Oint)*.
% 299.72/300.48  65[0:Inp] ||  -> class_Rings_Olinordered__semiring__strict(tc_Nat_Onat)*.
% 299.72/300.48  53[0:Inp] ||  -> class_Rings_Oring__1(tc_Int_Oint)*.
% 299.72/300.48  38[0:Inp] ||  -> class_Orderings_Opreorder(tc_Int_Oint)*.
% 299.72/300.48  86[0:Inp] ||  -> class_Orderings_Opreorder(tc_Nat_Onat)*.
% 299.72/300.48  102[0:Inp] ||  -> class_Orderings_Opreorder(tc_HOL_Obool)*.
% 299.72/300.48  10[0:Inp] ||  -> class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)*.
% 299.72/300.48  28[0:Inp] ||  -> class_Groups_Ocomm__monoid__add(tc_Int_Oint)*.
% 299.72/300.48  41[0:Inp] ||  -> class_Rings_Ocomm__ring__1(tc_Int_Oint)*.
% 299.72/300.48  67[0:Inp] ||  -> class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)*.
% 299.72/300.48  79[0:Inp] ||  -> class_Groups_Ocomm__monoid__add(tc_Nat_Onat)*.
% 299.72/300.48  37[0:Inp] ||  -> class_Rings_Oordered__ring(tc_Int_Oint)*.
% 299.72/300.48  43[0:Inp] ||  -> class_Rings_Osemiring__1(tc_Int_Oint)*.
% 299.72/300.48  47[0:Inp] ||  -> class_Rings_Ocomm__ring(tc_Int_Oint)*.
% 299.72/300.48  55[0:Inp] ||  -> class_Power_Opower(tc_Int_Oint)*.
% 299.72/300.48  90[0:Inp] ||  -> class_Rings_Osemiring__1(tc_Nat_Onat)*.
% 299.72/300.48  97[0:Inp] ||  -> class_Power_Opower(tc_Nat_Onat)*.
% 299.72/300.48  40[0:Inp] ||  -> class_Groups_Omonoid__mult(tc_Int_Oint)*.
% 299.72/300.48  88[0:Inp] ||  -> class_Groups_Omonoid__mult(tc_Nat_Onat)*.
% 299.72/300.48  5[0:Inp] ||  -> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint)*.
% 299.72/300.48  39[0:Inp] ||  -> class_Orderings_Olinorder(tc_Int_Oint)*.
% 299.72/300.48  51[0:Inp] ||  -> class_Orderings_Oord(tc_Int_Oint)*.
% 299.72/300.48  63[0:Inp] ||  -> class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat)*.
% 299.72/300.48  87[0:Inp] ||  -> class_Orderings_Olinorder(tc_Nat_Onat)*.
% 299.72/300.48  95[0:Inp] ||  -> class_Orderings_Oord(tc_Nat_Onat)*.
% 299.72/300.48  104[0:Inp] ||  -> class_Orderings_Oord(tc_HOL_Obool)*.
% 299.72/300.48  3[0:Inp] ||  -> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)*.
% 299.72/300.48  60[0:Inp] ||  -> class_Rings_Odvd(tc_Int_Oint)*.
% 299.72/300.48  61[0:Inp] ||  -> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)*.
% 299.72/300.48  100[0:Inp] ||  -> class_Rings_Odvd(tc_Nat_Onat)*.
% 299.72/300.48  44[0:Inp] ||  -> class_Rings_Osemiring__0(tc_Int_Oint)*.
% 299.72/300.48  57[0:Inp] ||  -> class_Rings_Oring(tc_Int_Oint)*.
% 299.72/300.48  91[0:Inp] ||  -> class_Rings_Osemiring__0(tc_Nat_Onat)*.
% 299.72/300.48  4[0:Inp] ||  -> class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint)*.
% 299.72/300.48  20[0:Inp] ||  -> class_Groups_Ocancel__semigroup__add(tc_Int_Oint)*.
% 299.72/300.48  46[0:Inp] ||  -> class_Rings_Omult__zero(tc_Int_Oint)*.
% 299.72/300.48  49[0:Inp] ||  -> class_Int_Oring__char__0(tc_Int_Oint)*.
% 299.72/300.48  54[0:Inp] ||  -> class_Groups_Ominus(tc_Int_Oint)*.
% 299.72/300.48  62[0:Inp] ||  -> class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat)*.
% 299.72/300.48  71[0:Inp] ||  -> class_Groups_Ocancel__semigroup__add(tc_Nat_Onat)*.
% 299.72/300.48  92[0:Inp] ||  -> class_Rings_Omult__zero(tc_Nat_Onat)*.
% 299.72/300.48  96[0:Inp] ||  -> class_Groups_Ominus(tc_Nat_Onat)*.
% 299.72/300.48  101[0:Inp] ||  -> class_Lattices_Oboolean__algebra(tc_HOL_Obool)*.
% 299.72/300.48  106[0:Inp] ||  -> class_Groups_Ominus(tc_HOL_Obool)*.
% 299.72/300.48  1[0:Inp] ||  -> class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat)*.
% 299.72/300.48  2[0:Inp] ||  -> class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint)*.
% 299.72/300.48  13[0:Inp] ||  -> class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint)*.
% 299.72/300.48  24[0:Inp] ||  -> class_Groups_Ocomm__monoid__mult(tc_Int_Oint)*.
% 299.72/300.48  26[0:Inp] ||  -> class_Rings_Oordered__semiring(tc_Int_Oint)*.
% 299.72/300.48  27[0:Inp] ||  -> class_Rings_Ono__zero__divisors(tc_Int_Oint)*.
% 299.72/300.48  36[0:Inp] ||  -> class_Rings_Ozero__neq__one(tc_Int_Oint)*.
% 299.72/300.48  52[0:Inp] ||  -> class_Groups_Ouminus(tc_Int_Oint)*.
% 299.72/300.48  75[0:Inp] ||  -> class_Groups_Ocomm__monoid__mult(tc_Nat_Onat)*.
% 299.72/300.48  77[0:Inp] ||  -> class_Rings_Oordered__semiring(tc_Nat_Onat)*.
% 299.72/300.48  78[0:Inp] ||  -> class_Rings_Ono__zero__divisors(tc_Nat_Onat)*.
% 299.72/300.48  85[0:Inp] ||  -> class_Rings_Ozero__neq__one(tc_Nat_Onat)*.
% 299.72/300.48  105[0:Inp] ||  -> class_Groups_Ouminus(tc_HOL_Obool)*.
% 299.72/300.48  9[0:Inp] ||  -> class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint)*.
% 299.72/300.48  14[0:Inp] ||  -> class_Rings_Oordered__cancel__semiring(tc_Int_Oint)*.
% 299.72/300.48  16[0:Inp] ||  -> class_Rings_Oring__no__zero__divisors(tc_Int_Oint)*.
% 299.72/300.48  29[0:Inp] ||  -> class_Rings_Olinordered__ring(tc_Int_Oint)*.
% 299.72/300.48  42[0:Inp] ||  -> class_Groups_Omonoid__add(tc_Int_Oint)*.
% 299.72/300.48  66[0:Inp] ||  -> class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat)*.
% 299.72/300.48  69[0:Inp] ||  -> class_Rings_Oordered__cancel__semiring(tc_Nat_Onat)*.
% 299.72/300.48  89[0:Inp] ||  -> class_Groups_Omonoid__add(tc_Nat_Onat)*.
% 299.72/300.48  12[0:Inp] ||  -> class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint)*.
% 299.72/300.48  21[0:Inp] ||  -> class_Rings_Olinordered__semiring(tc_Int_Oint)*.
% 299.72/300.48  23[0:Inp] ||  -> class_Groups_Oab__semigroup__mult(tc_Int_Oint)*.
% 299.72/300.48  25[0:Inp] ||  -> class_Groups_Oab__semigroup__add(tc_Int_Oint)*.
% 299.72/300.48  33[0:Inp] ||  -> class_Rings_Ocomm__semiring(tc_Int_Oint)*.
% 299.72/300.48  34[0:Inp] ||  -> class_Nat_Osemiring__char__0(tc_Int_Oint)*.
% 299.72/300.48  50[0:Inp] ||  -> class_Rings_Osemiring(tc_Int_Oint)*.
% 299.72/300.48  59[0:Inp] ||  -> class_Groups_Oone(tc_Int_Oint)*.
% 299.72/300.48  68[0:Inp] ||  -> class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat)*.
% 299.72/300.48  72[0:Inp] ||  -> class_Rings_Olinordered__semiring(tc_Nat_Onat)*.
% 299.72/300.48  74[0:Inp] ||  -> class_Groups_Oab__semigroup__mult(tc_Nat_Onat)*.
% 299.72/300.48  76[0:Inp] ||  -> class_Groups_Oab__semigroup__add(tc_Nat_Onat)*.
% 299.72/300.48  82[0:Inp] ||  -> class_Rings_Ocomm__semiring(tc_Nat_Onat)*.
% 299.72/300.48  84[0:Inp] ||  -> class_Nat_Osemiring__char__0(tc_Nat_Onat)*.
% 299.72/300.48  94[0:Inp] ||  -> class_Rings_Osemiring(tc_Nat_Onat)*.
% 299.72/300.48  99[0:Inp] ||  -> class_Groups_Oone(tc_Nat_Onat)*.
% 299.72/300.48  6[0:Inp] ||  -> class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint)*.
% 299.72/300.48  17[0:Inp] ||  -> class_Rings_Oordered__comm__semiring(tc_Int_Oint)*.
% 299.72/300.48  64[0:Inp] ||  -> class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat)*.
% 299.72/300.48  70[0:Inp] ||  -> class_Rings_Oordered__comm__semiring(tc_Nat_Onat)*.
% 299.72/300.48  83[0:Inp] ||  -> class_Orderings_Owellorder(tc_Nat_Onat)*.
% 299.72/300.48  7[0:Inp] ||  -> class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint)*.
% 299.72/300.48  18[0:Inp] ||  -> class_Rings_Olinordered__semiring__1(tc_Int_Oint)*.188941[0:Res:51669.1,475.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  3728[0:Rew:3621.0,2532.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u),v),c_Int_Onat__aux(skf48(c_fequal(u)),v))**.
% 299.72/300.48  18228[0:Rew:15222.0,18193.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(u,v))** -> .
% 299.72/300.48  18210[0:SpL:15222.0,3051.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(v,w))** -> .
% 299.72/300.48  18211[0:SpL:15222.0,3118.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.48  18216[0:SpL:15222.0,3635.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),u)** -> .
% 299.72/300.48  18660[0:Res:18525.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(c_Int_Onat__aux(u,skf64(v)))),c_Int_Onat__aux(u,skf64(v)))**.
% 299.72/300.48  38345[0:AED:109.0,38335.3] class_Power_Opower(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  48265[4:MRR:48264.0,8759.0] ||  -> hBOOL(hAPP(c_Int_Onat,u)) equal(skf48(c_fequal(skf62(c_COMBI(v),u))),u)**.
% 299.72/300.48  54212[0:Res:526.1,51176.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf49(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.72/300.48  54415[0:AED:109.0,54299.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf49(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.72/300.48  70667[0:SpR:15222.0,70381.0] ||  -> equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(u,v))**.
% 299.72/300.48  71146[0:Rew:313.1,71145.2] class_Rings_Oring(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)**.
% 299.72/300.48  71207[0:SpR:15222.0,70899.0] ||  -> equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(u,v))**.
% 299.72/300.48  48054[0:MRR:48053.0,5747.1] || equal(u,v) -> equal(skf48(c_fequal(skf56(v,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  21252[0:MRR:21168.0,4116.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(skf45(u,v),v)**.
% 299.72/300.48  21776[0:MRR:21671.0,4116.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(skf44(u,v),v)**.
% 299.72/300.48  5911[0:SpR:5744.1,257.0] || equal(u,skf60(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  5912[0:SpR:5744.1,256.0] || equal(u,skf57(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  5913[0:SpR:5744.1,253.0] || equal(u,skf48(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  5914[0:SpR:5744.1,252.0] || equal(u,skf47(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  71639[0:SpL:274.0,24466.0] || hBOOL(u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Nat_Onat_Onat__case(v,u,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  42794[0:MRR:42793.2,42512.1] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  75362[4:SpR:18711.1,75342.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  1979[0:SpR:1878.0,301.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* SkP1(v,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  52269[2:SpL:52124.1,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))* -> hBOOL(v) SkP2(c_Int_Onat,v,u)*.
% 299.72/300.48  52270[2:SpL:52124.1,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))* -> hBOOL(v) SkP1(c_Int_Onat,v,u)*.
% 299.72/300.48  24927[0:SpL:13412.1,9537.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  20855[0:SpL:3749.0,20796.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  20793[0:SpL:2526.0,18212.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  11220[0:SpL:9385.1,6751.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  52146[2:SpR:52124.1,5744.1] || equal(u,v)* -> hBOOL(u)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  14861[0:SpL:12545.1,9645.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  49420[8:SpL:6450.1,49239.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  5738[0:SpR:219.0,379.0] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(u,v,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.72/300.48  3056[0:SpL:2117.1,3051.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* -> .
% 299.72/300.48  10890[0:SpR:5744.1,10853.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))*.
% 299.72/300.48  2860[0:Rew:2545.0,2847.1] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  5184[0:SpL:3654.0,3733.0] || equal(c_Int_Onat__aux(u,v),v)** -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  4448[0:SpL:3632.0,3733.0] || equal(c_Int_Onat__aux(u,v),hAPP(c_Int_Onat,u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  2829[0:Rew:2545.0,2816.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.48  3717[0:Rew:3621.0,2983.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),v)**.
% 299.72/300.48  4445[0:SpL:3749.0,3733.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),v)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  5851[0:SpR:5744.1,243.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.72/300.48  10079[0:SpR:9370.1,276.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(u)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))**.
% 299.72/300.48  10124[0:SpL:9370.1,2481.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(u)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  10861[0:Obv:10860.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))*.
% 299.72/300.48  13117[0:Rew:2545.0,13067.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Int_Onat,v),c_Int_Onat__aux(v,u))*.
% 299.72/300.48  28983[0:MRR:28962.2,10118.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(u)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  18258[4:SpR:9370.1,18147.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,u))*.
% 299.72/300.48  15439[4:SpR:9370.1,15420.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(v,u))*.
% 299.72/300.48  15467[4:SpR:9370.1,15442.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),hAPP(c_Nat_OSuc,u))*.
% 299.72/300.48  9512[0:SpR:9368.0,431.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))*.
% 299.72/300.48  41853[0:MRR:41768.1,1936.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.72/300.48  56411[0:SpL:9370.1,56386.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf50(u))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  59097[0:Res:248.0,915.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,v)),u))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  62996[0:SpR:9370.1,62985.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.48  18982[4:SpR:5744.1,18859.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP0(v,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))*.
% 299.72/300.48  18985[4:SpR:5744.1,18860.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP0(v,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))*.
% 299.72/300.48  2670[0:Rew:2544.0,2669.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(u,v))*.
% 299.72/300.48  16893[0:SpR:5744.1,16876.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))*.
% 299.72/300.48  26834[0:SpR:5744.1,26833.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u))*.
% 299.72/300.48  2760[0:SpR:2170.1,2528.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,w))*.
% 299.72/300.48  24351[0:SpR:9234.1,24290.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))*.
% 299.72/300.48  22801[0:SpR:12545.1,22759.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,w,skf50(c_Int_Onat__aux(u,w)))*.
% 299.72/300.48  14832[0:SpR:12545.1,3618.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,skf64(u),c_Int_Onat__aux(u,w))*.
% 299.72/300.48  23863[0:SpR:12545.1,23766.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,w,c_Int_Onat__aux(u,skf50(w)))*.
% 299.72/300.48  19956[0:SpR:12545.1,19655.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(v,skf48(c_fequal(c_Int_Onat__aux(u,w))))*.
% 299.72/300.48  15107[2:SpR:12545.1,14888.1] hBOOL(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_fconj,u,v)*.
% 299.72/300.48  14933[2:SpR:12545.1,14887.1] hBOOL(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_fconj,u,v)*.
% 299.72/300.48  26742[2:SpR:12435.1,26677.0] || equal(skf57(u),v)* -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  26660[2:SpR:12435.1,26601.0] || equal(skf57(u),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  17121[0:Res:5746.1,12380.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_fequal(v),skf60(c_fequal(v))))*.
% 299.72/300.48  65657[2:SpL:12435.1,65644.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_fNot))** -> .
% 299.72/300.48  26791[2:SpR:13680.1,26679.0] || equal(skf47(u),v)* -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  26670[2:SpR:13680.1,26603.0] || equal(skf47(u),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  21048[0:Res:5746.1,16218.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_fequal(v),skf60(c_fequal(v))))*.
% 299.72/300.48  65713[2:SpL:13680.1,65646.0] || equal(skf47(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_fNot))** -> .
% 299.72/300.48  72777[0:SSi:72743.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))),v)*.
% 299.72/300.48  29655[0:Rew:2545.0,29590.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,v),skf50(u))* -> .
% 299.72/300.48  11218[0:SpL:9385.1,3051.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,u),skf50(u))** -> .
% 299.72/300.48  10378[4:SpL:10150.1,10316.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),v)* -> hBOOL(v)*.
% 299.72/300.48  10196[0:SpR:10150.1,220.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),v))*.
% 299.72/300.48  10163[0:MRR:10160.3,147.0] class_Rings_Oring__1(u) class_Int_Oring__char__0(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  19043[0:SpR:18862.1,3632.0] ||  -> SkP0(u,skf48(c_fequal(hAPP(c_Int_Onat,v))))* equal(c_Int_Onat__aux(v,w),w)**.
% 299.72/300.48  23324[0:SpR:2526.0,19615.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Int_Onat__aux(x,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.72/300.48  23395[0:SpR:3749.0,23327.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(skf64(w))),x)))))*.
% 299.72/300.48  19036[0:SpR:18862.1,3749.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),w)**.
% 299.72/300.48  19084[0:SpR:18862.1,3654.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(hAPP(c_Int_Onat,w),c_Int_Onat__aux(w,v))*.
% 299.72/300.48  19086[0:SpR:18862.1,9514.0] ||  -> SkP0(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w)))*.
% 299.72/300.48  27023[0:Rew:225.0,27011.1] ||  -> SkP0(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  46861[0:MRR:46836.0,222.0] ||  -> SkP0(u,skf48(c_fequal(v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))*.
% 299.72/300.48  22575[0:SpR:18347.0,19655.0] ||  -> SkP0(u,skf48(c_fequal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),skf64(w))))))*.
% 299.72/300.48  19612[0:SpR:9385.1,19176.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP0(v,skf48(c_fequal(c_Int_Onat__aux(w,u))))*.
% 299.72/300.48  63686[4:SoR:3610.0,61595.2] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),u) -> SkP0(v,skf48(c_fequal(u)))*.
% 299.72/300.48  19097[0:SpL:18862.1,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  19226[0:SpR:12874.1,19172.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  56589[0:SpR:12874.1,56572.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  24747[0:SpR:13412.1,19614.0] || equal(u,skf64(v))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,u))))*.
% 299.72/300.48  19671[0:SpR:12874.1,19614.0] || equal(c_Int_Onat__aux(u,skf64(v)),w)* -> SkP0(x,skf48(c_fequal(w)))*.
% 299.72/300.48  4580[0:SpL:354.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  5047[0:SpL:352.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  4581[0:SpL:354.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  5048[0:SpL:352.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  4633[0:SpL:365.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP2(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  4721[0:SpL:351.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  4678[0:SpL:363.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  5210[0:SpL:350.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  5109[0:SpL:364.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))*.
% 299.72/300.48  3236[0:SpL:369.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  4634[0:SpL:365.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP1(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  4679[0:SpL:363.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  4722[0:SpL:351.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  3237[0:SpL:369.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  5110[0:SpL:364.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))*.
% 299.72/300.48  5211[0:SpL:350.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  4485[0:SpL:355.1,334.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  4811[0:SpL:353.1,334.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  4486[0:SpL:355.1,333.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  4812[0:SpL:353.1,333.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  4560[0:SpL:359.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  4952[0:SpL:361.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))*.
% 299.72/300.48  3187[0:SpL:372.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  4561[0:SpL:359.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  3188[0:SpL:372.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  4953[0:SpL:361.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))*.
% 299.72/300.48  4528[0:SpL:360.1,334.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  4928[0:SpL:362.1,334.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))*.
% 299.72/300.48  4529[0:SpL:360.1,333.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  4929[0:SpL:362.1,333.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))*.
% 299.72/300.48  22979[4:Rew:18149.0,22973.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))*.
% 299.72/300.48  23059[4:SpR:18149.0,22963.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),u))*.
% 299.72/300.48  8702[0:SpR:8672.1,6450.1] || equal(u,v)* -> SkP0(v,w)* equal(c_Int_Onat__aux(u,x),x)**.
% 299.72/300.48  16089[0:SpR:5744.1,16085.0] || equal(u,v) -> SkP0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u),w)*.
% 299.72/300.48  18892[0:SpR:13147.1,18868.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  19161[0:SpR:13147.1,19138.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  19064[0:SpR:18862.1,6450.1] || equal(u,v)* -> SkP0(w,v)* equal(c_Int_Onat__aux(u,x),x)**.
% 299.72/300.48  63056[2:MRR:63024.0,220.0] || SkP0(u,v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.48  6252[0:SpL:5744.1,259.1] hBOOL(u) || equal(v,u)* hBOOL(hAPP(c_fNot,v))* -> .
% 299.72/300.48  54133[2:Res:14878.1,51176.0] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),skf49(hAPP(c_fconj,u))))*.
% 299.72/300.48  9592[0:SpL:5744.1,9524.0] || equal(skf64(u),v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  22573[0:SpR:18347.0,15581.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),skf64(w))))*.
% 299.72/300.48  14719[0:Rew:2544.0,14687.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(hAPP(c_Nat_OSuc,skf64(v)),u)* -> .
% 299.72/300.48  5918[0:SpR:5744.1,1879.0] || equal(u,skf64(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.72/300.48  12054[0:SpR:10413.1,9368.0] || equal(u,skf64(v)) -> equal(hAPP(c_Nat_OSuc,skf50(u)),skf64(v))*.
% 299.72/300.48  9617[0:Res:322.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),u))* -> .
% 299.72/300.48  10859[0:Obv:10858.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))*.
% 299.72/300.48  14718[4:Rew:2544.0,14649.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  5876[0:SpR:5744.1,245.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.72/300.48  23548[0:SpR:9887.0,21263.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf45(u,v),v)**.
% 299.72/300.48  23566[0:SpR:9887.0,21788.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf44(u,v),v)**.
% 299.72/300.48  3084[0:SpR:2546.0,2675.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  56265[0:SpR:2872.0,56254.0] ||  -> SkP1(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v))))*.
% 299.72/300.48  11575[4:SpR:9887.0,10225.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,u)*.
% 299.72/300.48  11599[4:SpR:9887.0,10228.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,u)*.
% 299.72/300.48  11583[4:SpR:9887.0,10226.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,v)*.
% 299.72/300.48  2272[0:SpL:316.1,2268.0] || equal(u,v) equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),u)* -> .
% 299.72/300.48  3057[0:SpL:316.1,3051.0] || equal(u,v) equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)),u)* -> .
% 299.72/300.48  16877[0:SSi:16850.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.72/300.48  61846[0:SpR:2526.0,46655.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v))*.
% 299.72/300.48  46641[4:SpR:3704.0,8780.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u))*.
% 299.72/300.48  46461[4:SpR:3703.0,8780.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  61616[0:SpR:2526.0,46475.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  23995[0:SpR:9368.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v))),w),skf64(v))*.
% 299.72/300.48  24198[0:SpR:9887.0,12060.1] || equal(hAPP(c_Nat_OSuc,u),skf64(v)) -> SkP1(w,u,skf64(v))*.
% 299.72/300.48  24632[0:SpR:9368.0,23842.1] || equal(skf50(u),skf50(skf64(v))) -> SkP1(w,u,skf64(v))*.
% 299.72/300.48  10802[0:SpR:5744.1,10793.0] || equal(hAPP(c_Nat_OSuc,u),v) -> SkP1(w,u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.48  10795[0:SpR:5744.1,10793.0] || equal(u,v) -> SkP1(w,u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  7366[0:SpR:276.0,7329.1] ||  -> SkP1(u,v,hAPP(c_Nat_OSuc,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.72/300.48  18226[0:Rew:15222.0,18161.0] ||  -> SkP1(u,c_Int_Onat__aux(v,w),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w))))*.
% 299.72/300.48  14976[0:SpR:3753.0,3618.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.48  11358[0:SpR:5744.1,11351.0] || equal(u,v) -> SkP1(w,u,c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  14989[0:SpR:3753.0,11351.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  9623[0:Res:348.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> .
% 299.72/300.48  4388[0:SpR:3632.0,3731.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),v),hAPP(c_Int_Onat,u))**.
% 299.72/300.48  4409[0:SpR:3632.0,3732.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),hAPP(c_Int_Onat,u)),v)**.
% 299.72/300.48  5922[0:SpR:5744.1,2030.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.72/300.48  15487[4:SpR:3749.0,15440.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))*.
% 299.72/300.48  19463[4:MRR:19448.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v).
% 299.72/300.48  5924[0:SpR:5744.1,2523.0] || equal(u,c_Int_Onat__aux(v,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.72/300.48  14921[0:Res:301.0,529.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.72/300.48  14761[0:SpL:9368.0,12416.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),skf50(skf64(v))))* -> .
% 299.72/300.48  22541[0:SpR:18347.0,2523.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),skf50(c_Int_Onat__aux(v,skf64(u)))))*.
% 299.72/300.48  22557[0:SpR:18347.0,2524.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf50(c_Int_Onat__aux(u,skf64(v)))))*.
% 299.72/300.48  22548[0:SpR:18347.0,3623.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))))*.
% 299.72/300.48  2113[0:SpR:316.1,2030.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  18128[0:SpR:15222.0,2030.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  27977[0:Res:2523.0,3739.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))))*.
% 299.72/300.48  28135[0:Res:2523.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(u)),w))))*.
% 299.72/300.48  24687[0:SpR:13412.1,2523.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(w,u)))*.
% 299.72/300.48  68350[0:MRR:68299.0,220.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(w,u))))*.
% 299.72/300.48  1976[0:SpR:276.0,300.1] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.72/300.48  42010[4:SpR:3705.1,8780.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v).
% 299.72/300.48  42032[0:SpR:3705.1,15529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.48  42097[0:Rew:42016.1,42034.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP1(w,skf50(v),v)*.
% 299.72/300.48  42098[0:Rew:42016.1,42079.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(skf50(v),v) -> .
% 299.72/300.48  42176[0:SpR:3709.1,15581.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))* SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  11287[0:Res:9497.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),skf50(skf64(v))))* -> .
% 299.72/300.48  41852[0:MRR:41787.1,251.0] ||  -> SkP1(u,v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.72/300.48  41851[0:MRR:41655.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Nat_OSuc,u),v)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  59128[0:MRR:59110.1,1844.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(hAPP(c_Nat_OSuc,u),v)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  18123[0:SpR:15222.0,248.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.48  7359[0:SpR:276.0,7319.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.48  23978[0:SpR:9487.0,23972.0] ||  -> SkP1(u,skf50(skf64(v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)))))*.
% 299.72/300.48  22682[0:SpR:3749.0,22546.0] ||  -> SkP1(u,skf50(skf64(v)),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w)))*.
% 299.72/300.48  18162[0:SpR:15222.0,11351.0] ||  -> SkP1(u,c_Int_Onat__aux(v,w),c_Int_Onat__aux(x,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.72/300.48  26726[2:SpR:13147.1,26676.0] || equal(skf48(u),v)* -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  26782[2:SpR:12260.1,26678.0] || equal(skf60(u),v)* -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  24746[0:SpR:13412.1,15553.0] || equal(u,skf64(v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,u))*.
% 299.72/300.48  22355[0:SpR:2526.0,18166.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Int_Onat__aux(x,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  22417[0:SpR:3749.0,22358.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(skf64(w))),x)))*.
% 299.72/300.48  3707[0:Rew:3621.0,2769.1] || equal(u,v) -> SkP1(w,u,c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.72/300.48  7500[0:SpR:6450.1,3618.0] || equal(skf48(c_fequal(u)),v) -> SkP1(w,u,c_Int_Onat__aux(v,x))*.
% 299.72/300.48  4397[0:SpL:3731.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),v)*.
% 299.72/300.48  4418[0:SpL:3732.0,333.0] || hBOOL(u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u),v)*.
% 299.72/300.48  2542[0:SpL:386.0,333.0] || hBOOL(c_Int_Onat__aux(u,v)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  9541[0:SpL:9368.0,333.0] || hBOOL(hAPP(skf64(u),v)) -> SkP1(c_Nat_OSuc,skf50(skf64(u)),v)*.
% 299.72/300.48  24778[0:SpR:13412.1,11351.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP1(w,v,c_Int_Onat__aux(x,u))*.
% 299.72/300.48  25082[0:SpR:3654.0,24692.1] || equal(hAPP(c_Int_Onat,u),v) -> SkP1(w,v,c_Int_Onat__aux(u,x))*.
% 299.72/300.48  5066[0:SpL:394.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP1(c_Groups_Ominus__class_Ominus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  11550[0:SpR:9887.0,10209.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v,u)*.
% 299.72/300.48  67601[15:Rew:67570.0,67530.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),u)) -> SkP1(c_Polynomial_Opoly(t_a,v_cs____),v,u)*.
% 299.72/300.48  5827[0:SpR:5744.1,2528.0] || equal(u,v) -> SkP1(w,hAPP(c_Int_Onat,u),c_Int_Onat__aux(v,x))*.
% 299.72/300.48  40151[0:SpR:5744.1,40109.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),u)*.
% 299.72/300.48  62994[0:SpR:2526.0,62985.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  40100[0:SpR:5744.1,40079.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.72/300.48  47713[0:SpR:3757.0,2527.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.72/300.48  12055[4:SpR:10413.1,9506.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),skf64(v))*.
% 299.72/300.48  18260[4:SpR:15222.0,18147.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.72/300.48  22328[4:Rew:18347.0,22282.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(c_Int_Onat__aux(u,skf64(v))),c_Int_Onat__aux(u,skf64(v)))*.
% 299.72/300.48  12083[4:MRR:12015.1,9533.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v)),u)*.
% 299.72/300.48  11591[4:SpR:9887.0,10227.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v)*.
% 299.72/300.48  9515[4:SpR:9368.0,8782.1] || equal(u,skf50(skf64(v))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf64(v))*.
% 299.72/300.48  61145[4:SpR:2135.1,61086.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.48  62869[4:Res:61109.1,1907.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(hAPP(c_Nat_OSuc,skf50(u)),u).
% 299.72/300.48  15437[4:SpR:2526.0,15420.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  4396[0:SpL:3731.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),v)*.
% 299.72/300.48  4417[0:SpL:3732.0,334.0] || hBOOL(u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u),v)*.
% 299.72/300.48  61135[4:SSi:61134.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),v)*.
% 299.72/300.48  2276[0:SpL:316.1,2268.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(hAPP(c_Nat_OSuc,v),u)* -> .
% 299.72/300.48  24912[0:SpL:13412.1,3051.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(w,u),v)* -> .
% 299.72/300.48  9508[0:SpR:9368.0,5744.1] || equal(skf50(skf64(u)),v)* -> equal(hAPP(c_Nat_OSuc,v),skf64(u))*.
% 299.72/300.48  40113[0:SpR:5744.1,40096.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),u)*.
% 299.72/300.48  40087[0:SpR:5744.1,40078.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.72/300.48  65638[2:SpL:13147.1,65597.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_fNot))** -> .
% 299.72/300.48  65658[2:SpL:12260.1,65645.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_fNot))** -> .
% 299.72/300.48  26611[2:SpR:13147.1,26600.0] || equal(skf48(u),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  26661[2:SpR:12260.1,26602.0] || equal(skf60(u),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.48  17535[0:SpR:13147.1,3903.0] || equal(skf48(c_COMBI(u)),v)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.72/300.48  63765[2:SoR:3610.0,52587.1] || equal(u,hAPP(c_Int_Onat,skf48(c_fNot)))* -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  16272[0:Res:5746.1,12183.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_fequal(v),skf60(c_fequal(v))))*.
% 299.72/300.48  17335[0:Res:5746.1,12538.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_fequal(v),skf60(c_fequal(v))))*.
% 299.72/300.48  5065[0:SpL:394.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP2(c_Groups_Ominus__class_Ominus(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  22522[0:Obv:22483.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)),v)**.
% 299.72/300.48  5340[0:SpL:393.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Ominus__class_Ominus(u),v,v)*.
% 299.72/300.48  77049[0:MRR:76941.2,76941.4,301.1,230.0] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),v,v)* -> hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.72/300.48  22523[0:Obv:22490.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v),v)**.
% 299.72/300.48  9540[0:SpL:9368.0,334.0] || hBOOL(hAPP(skf64(u),v)) -> SkP2(c_Nat_OSuc,skf50(skf64(u)),v)*.
% 299.72/300.48  2541[0:SpL:386.0,334.0] || hBOOL(c_Int_Onat__aux(u,v)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  11558[0:SpR:9887.0,10210.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v,u)*.
% 299.72/300.48  67600[15:Rew:67570.0,67529.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),u)) -> SkP2(c_Polynomial_Opoly(t_a,v_cs____),v,u)*.
% 299.72/300.48  16878[0:SSi:16851.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.72/300.48  8357[0:Res:1639.2,370.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  8464[0:Res:428.2,370.1] class_Orderings_Oorder(u) class_Rings_Olinordered__semidom(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  29953[0:MRR:29909.3,385.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Olinordered__semidom(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  54297[0:Res:269.1,51176.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf49(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.72/300.48  54298[0:Res:18720.1,51176.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf49(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.72/300.48  30401[0:AED:109.0,30350.3] class_Rings_Oring__no__zero__divisors(u) class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  38344[0:AED:109.0,38334.3] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  30402[0:AED:109.0,30351.3] class_Rings_Oring__no__zero__divisors(u) class_Groups_Omonoid__mult(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  30403[0:AED:109.0,30352.3] class_Rings_Oring__no__zero__divisors(u) class_Groups_Ocomm__monoid__mult(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> .
% 299.72/300.48  16411[0:MRR:16387.1,5747.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.48  111859[18:MRR:48263.0,111803.0] ||  -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(skf48(c_fequal(skf62(c_Nat_OSuc,u))),u)**.
% 299.72/300.48  111860[18:MRR:41875.0,111803.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.72/300.48  111861[18:MRR:36431.1,111803.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(skf64(v)))*.
% 299.72/300.48  111862[18:MRR:12013.1,111803.0] || equal(u,skf64(v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(skf64(v)))*.
% 299.72/300.48  111863[18:MRR:12042.1,111803.0] || equal(u,skf64(v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v),skf50(u))*.
% 299.72/300.48  111864[18:MRR:28178.1,111803.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v),skf50(u))*.
% 299.72/300.48  118356[18:SpR:9370.1,111821.1] || equal(skf50(u),skf49(c_Nat_OSuc))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(u).
% 299.72/300.48  131054[18:SpR:9887.0,111845.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),v,u)*.
% 299.72/300.48  131064[18:SpR:9887.0,111846.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),v,u)*.
% 299.72/300.48  137595[0:SpR:5744.1,116046.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))*.
% 299.72/300.48  137986[0:SpR:5744.1,116130.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.72/300.48  146576[2:SpR:5744.1,146511.1] || equal(u,v)* -> hBOOL(u)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w)*.
% 299.72/300.48  146590[2:SSi:146589.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)*.
% 299.72/300.48  146640[2:SpR:5744.1,146545.1] || equal(u,v)* -> hBOOL(u)* SkP0(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.72/300.48  146654[2:SSi:146653.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.48  150349[0:Res:63058.1,12554.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),u)**.
% 299.72/300.48  155026[8:MRR:155014.0,19248.0] || equal(u,skf47(c_Int_Onat)) -> equal(skf48(c_fequal(skf62(c_Int_Onat,u))),u)**.
% 299.72/300.48  156484[0:SpR:12874.1,156198.0] || equal(skf64(u),v) -> equal(skf64(skf48(c_fequal(v))),skf64(u))*.
% 299.72/300.48  175009[4:SpR:10150.1,174996.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),skf64(v))*.
% 299.72/300.48  175151[4:SpR:9370.1,174999.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(v,u))*.
% 299.72/300.48  175152[4:SpR:15222.0,174999.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.72/300.48  176402[0:SSi:176123.1,176123.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(u,skf41(u,w,x)))*.
% 299.72/300.48  176504[0:Res:176401.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)),u))* -> .
% 299.72/300.48  176547[0:SSi:176524.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),u))* -> .
% 299.72/300.48  176552[0:SpL:9487.0,176537.0] || equal(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v,w),skf50(skf64(u)))** -> .
% 299.72/300.48  176756[0:SpR:9487.0,176535.0] ||  -> SkP1(u,skf50(skf64(v)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),w,x))*.
% 299.72/300.48  176783[0:MRR:176775.1,176537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),u))* -> .
% 299.72/300.48  159745[2:Res:64525.1,12554.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),u)**.
% 299.72/300.48  146507[2:SpR:5744.1,146399.0] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* SkP0(u,w)*.
% 299.72/300.48  146541[2:SpR:5744.1,146403.0] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* SkP0(w,u)*.
% 299.72/300.48  146537[2:SSi:146520.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.72/300.48  146571[2:SSi:146554.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  179291[2:SSi:179290.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v))*.
% 299.72/300.48  184006[0:MRR:183984.0,116130.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.72/300.48  184535[0:MRR:184509.0,245.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.72/300.48  185159[2:SpR:185071.1,15104.1] hBOOL(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> SkP1(c_fconj,u,v)*.
% 299.72/300.48  185160[2:SpR:185071.1,14930.1] hBOOL(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> SkP2(c_fconj,u,v)*.
% 299.72/300.48  185162[0:SpR:185071.1,24290.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP1(v,u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))*.
% 299.72/300.48  187132[0:SSi:187131.0,132.1] class_Rings_Oidom(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.48  9518[0:SpR:9368.0,379.0] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(u,v,w),skf64(x)),hAPP(w,skf50(skf64(x))))**.
% 299.72/300.48  10849[0:Rew:210.0,10822.0] || equal(skf35(c_COMBI(u)),skf34(c_COMBI(u))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_COMBI(u))*.
% 299.72/300.48  12896[0:Rew:12519.0,12688.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),skf48(c_fequal(v)))* -> .
% 299.72/300.48  15037[0:SpL:3753.0,9538.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,skf64(v))),hAPP(c_Nat_OSuc,u))** -> .
% 299.72/300.48  15231[0:Rew:15222.0,11441.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Int_Onat,v))** -> .
% 299.72/300.48  18242[0:Rew:2526.0,18181.0,15222.0,18181.0,2526.0,18181.0] ||  -> equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  20136[0:Rew:15222.0,20113.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  22594[0:SpL:18347.0,9752.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))),skf50(skf64(v)))** -> .
% 299.72/300.48  22596[0:SpL:18347.0,9714.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))),skf50(skf64(u)))** -> .
% 299.72/300.48  10518[0:Res:150.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Orderings_Oord__class_OLeast(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))))*.
% 299.72/300.48  19576[0:AED:109.0,19573.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Orderings_Oord__class_OLeast(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.72/300.48  42884[0:SpL:2526.0,42446.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf48(c_fequal(hAPP(c_Int_Onat,u))))** -> .
% 299.72/300.48  43034[4:SSi:43031.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,skf55(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),v)))* -> hBOOL(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)).
% 299.72/300.48  47638[4:MRR:47637.0,8759.0] || hBOOL(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.48  57980[0:MRR:57979.3,278.1] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* c_Polynomial_Opos__poly(u,v)* -> .
% 299.72/300.48  68939[0:SpL:2526.0,64130.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  47611[8:MRR:47519.1,47519.2,19248.0,8759.0] || equal(skf62(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.48  42460[2:SpR:13147.1,42407.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42478[2:SpR:12435.1,42408.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42479[2:SpR:12260.1,42409.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42488[2:SpR:13680.1,42410.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42297[2:SpR:13147.1,42284.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42391[2:SpR:12435.1,42285.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42392[2:SpR:12260.1,42286.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  42401[2:SpR:13680.1,42287.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40948[2:SpR:13147.1,40935.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  40966[2:SpR:12435.1,40936.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  40998[2:SpR:12260.1,40937.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41007[2:SpR:13680.1,40938.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  40867[2:SpR:13147.1,40718.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40885[2:SpR:12435.1,40719.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40886[2:SpR:12260.1,40720.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  40929[2:SpR:13680.1,40721.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.72/300.48  12615[0:Rew:12519.0,9505.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf64(u))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  6976[0:Res:6728.1,4191.0] || equal(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,skf60(c_fNot)))*.
% 299.72/300.48  8775[4:MRR:4842.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  4870[0:Res:222.0,4191.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.48  19481[0:SpL:19381.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.72/300.48  2409[0:SpL:267.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.72/300.48  19482[0:SpL:19381.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.72/300.48  2343[0:SpL:267.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.72/300.48  24447[0:SpR:2169.1,24313.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP1(v,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  2326[0:SpL:1618.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),v,u)*.
% 299.72/300.48  2392[0:SpL:1618.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),v,u)*.
% 299.72/300.48  25767[0:SpL:2526.0,12686.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  20579[0:SpL:2169.1,20514.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> .
% 299.72/300.48  20184[0:SpL:15222.0,18204.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  20182[0:SpL:9370.1,18204.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  51181[0:Res:150.0,12634.1] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.48  17724[4:SpL:13680.1,8766.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  13546[0:SpR:12664.0,12586.1] || equal(hAPP(c_Int_Onat,skf47(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  12493[0:SpR:12100.0,342.1] || equal(hAPP(c_Int_Onat,skf48(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  23768[0:SpR:2673.1,23679.0] || equal(skf48(c_fequal(skf50(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP1(v,u,skf64(w))*.
% 299.72/300.48  12336[0:SpR:12099.0,342.1] || equal(hAPP(c_Int_Onat,skf57(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  12137[0:SpR:12098.0,342.1] || equal(hAPP(c_Int_Onat,skf60(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  8577[0:SpL:5744.1,8573.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.48  58149[0:SSi:58085.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),u)** -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v).
% 299.72/300.48  5777[0:SpR:5744.1,1618.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  4054[0:SpR:3622.0,2673.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  4182[0:SpL:2673.1,3635.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(hAPP(c_Nat_OSuc,v),u)* -> .
% 299.72/300.48  29566[0:SpR:9887.0,12611.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  3613[0:SpR:2169.1,3535.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  4116[0:SpR:2673.1,3623.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.48  25658[0:MRR:25657.0,253.0] ||  -> equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.72/300.48  20669[0:SpR:5744.1,20641.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  26110[0:Rew:1878.0,26095.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> .
% 299.72/300.48  7857[0:SpR:5744.1,7721.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.72/300.48  13719[0:SpL:5744.1,13562.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(v)),u))* -> .
% 299.72/300.48  13189[0:SpL:5744.1,12520.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(v)),u))* -> .
% 299.72/300.48  12449[0:SpL:5744.1,12362.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(v)),u))* -> .
% 299.72/300.48  12281[0:SpL:5744.1,12167.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(v)),u))* -> .
% 299.72/300.48  8969[0:SpL:5744.1,8808.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> .
% 299.72/300.48  49578[8:SpL:5744.1,49240.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),u))* -> .
% 299.72/300.48  49875[0:SSi:49854.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> .
% 299.72/300.48  52118[2:SpR:5744.1,51858.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* hBOOL(v).
% 299.72/300.48  52861[2:SpR:5744.1,51889.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* hBOOL(v).
% 299.72/300.48  58071[0:SpR:5744.1,58064.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.48  47634[4:MRR:47633.0,8759.0] || hBOOL(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.48  2389[0:SpL:268.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)*.
% 299.72/300.48  2323[0:SpL:268.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)*.
% 299.72/300.48  7859[0:SpR:5744.1,7721.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  5860[0:SpR:5744.1,268.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),v)**.
% 299.72/300.48  5862[0:SpR:5744.1,267.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u),v)**.
% 299.72/300.48  19385[0:Rew:267.0,19360.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),v)**.
% 299.72/300.48  24059[0:SSi:24046.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),v)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.48  6284[0:SpL:5744.1,1957.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> .
% 299.72/300.48  9245[0:SpL:8904.1,304.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  44828[0:SpR:12675.1,12492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  57793[2:SSi:57757.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  51940[0:MRR:51939.2,12167.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  51942[0:MRR:51941.2,12362.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  51944[0:MRR:51943.2,12520.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  51946[0:MRR:51945.2,13562.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  9543[0:MRR:9258.2,9522.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.48  18635[0:SSi:18603.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf64(u))),u).
% 299.72/300.48  57506[2:SSi:57487.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.48  64652[0:SpR:15222.0,64590.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))))*.
% 299.72/300.48  18634[0:SSi:18574.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  16377[0:Res:540.0,12167.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(u)))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(u)).
% 299.72/300.48  16380[0:Res:540.0,13562.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(u)))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(u)).
% 299.72/300.48  16379[0:Res:540.0,12520.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(u)))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(u)).
% 299.72/300.48  16378[0:Res:540.0,12362.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf57(u)))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf57(u)).
% 299.72/300.48  18631[0:SSi:18573.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  53849[0:SSi:53830.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.72/300.48  53850[0:SSi:53833.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  64465[2:MRR:64306.2,1936.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.72/300.48  64592[0:SSi:64571.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  20729[0:SpR:5744.1,20724.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  20518[0:SpR:5744.1,20510.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.72/300.48  79407[2:SoR:6731.0,51992.1] || equal(u,skf48(c_fNot)) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> .
% 299.72/300.48  20732[0:SpR:2170.1,20724.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  20521[0:SpR:2170.1,20510.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  20509[0:Res:19575.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.48  74700[0:Res:474.1,28828.0] || equal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  16631[0:SpR:12260.1,5050.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  79624[2:SoR:6731.0,52049.1] || equal(u,skf48(c_fNot)) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> .
% 299.72/300.48  5842[0:SpR:5744.1,4477.0] || equal(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* -> SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  4495[0:SpR:2170.1,4477.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  64530[0:SSi:64504.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.72/300.48  8588[0:Res:378.1,475.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  52039[0:SSi:52026.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.72/300.48  64531[0:SSi:64505.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.48  71852[4:MRR:71696.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71849[4:MRR:71693.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71850[4:MRR:71694.1,8759.0] class_Groups_Omonoid__mult(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71851[4:MRR:71695.1,8759.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71846[4:MRR:71682.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71847[4:MRR:71683.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71848[4:MRR:71684.1,8759.0] class_Groups_Omonoid__add(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71843[4:MRR:71653.1,8759.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71792[0:Res:310.1,24466.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71791[0:Res:290.1,24466.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71779[0:Res:19039.1,24466.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71756[0:Res:40072.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71650[0:SpL:285.0,24466.0] || hBOOL(u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBK(v,w),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  66997[0:Rew:274.0,66968.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  66995[0:Rew:15222.0,66983.0,274.0,66983.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  63091[0:SpR:18711.1,63055.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.72/300.48  63094[0:SpR:8586.1,63055.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.72/300.48  47598[8:MRR:47594.1,19248.0] || equal(skf62(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.48  58637[0:SpR:15222.0,57266.0] ||  -> equal(skf51(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  53744[0:MRR:53743.0,220.0] ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.72/300.48  56130[0:SSi:56123.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.48  46737[0:SpL:3704.0,9645.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  46556[0:SpL:3703.0,9645.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  20502[0:SpR:18711.1,19575.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  18795[0:SpR:18711.1,3537.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  18792[0:SpR:18711.1,3536.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  20717[0:SpR:18711.1,20513.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.48  2407[0:SpL:274.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Nat_Onat_Onat__case(w,u,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.72/300.48  2405[0:SpL:271.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.72/300.48  2404[0:SpL:284.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.72/300.48  5345[0:SpR:373.1,2439.1] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  7243[0:SpL:409.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  2388[0:SpL:270.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u,v)*.
% 299.72/300.48  2322[0:SpL:270.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u,v)*.
% 299.72/300.48  5329[0:SpR:373.1,2373.1] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  7244[0:SpL:409.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  2325[0:SpL:283.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),v,u)*.
% 299.72/300.48  8641[0:SpL:8586.1,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))* -> SkP0(v,w)* SkP1(c_Int_Onat,v,u)*.
% 299.72/300.48  18818[0:SpL:18711.1,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))* -> SkP0(v,w)* SkP1(c_Int_Onat,w,u)*.
% 299.72/300.48  2391[0:SpL:283.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),v,u)*.
% 299.72/300.48  8640[0:SpL:8586.1,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))* -> SkP0(v,w)* SkP2(c_Int_Onat,v,u)*.
% 299.72/300.48  18817[0:SpL:18711.1,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u))* -> SkP0(v,w)* SkP2(c_Int_Onat,w,u)*.
% 299.72/300.48  61060[4:SpR:1878.0,42157.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  24914[0:SpL:13412.1,6751.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  20797[0:SpL:15222.0,18212.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  19411[8:SpL:12874.1,19325.0] || equal(u,v)* equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(u)*.
% 299.72/300.48  19348[8:SpL:13680.1,19332.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.48  18761[0:SpR:18711.1,5744.1] || equal(u,v)* -> SkP0(w,u)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  8597[0:SpR:8586.1,5744.1] || equal(u,v)* -> SkP0(u,w)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  6931[0:SpR:3632.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  2180[0:SpR:2117.1,276.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))*.
% 299.72/300.48  19316[8:SpR:5744.1,19253.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.48  10020[0:SpL:5744.1,10007.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),u))* -> .
% 299.72/300.48  47414[0:Res:243.0,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u).
% 299.72/300.48  56358[0:SpR:2117.1,56264.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.48  56405[0:SpL:2117.1,56386.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> .
% 299.72/300.48  57940[0:SpR:5744.1,57932.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  71771[0:Res:5747.1,24466.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  77780[16:SSi:77775.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  5776[0:SpR:5744.1,283.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  20795[0:SpL:9370.1,18212.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  6853[0:SpL:3654.0,3734.0] || equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  20979[0:SpR:3654.0,15552.1] ||  -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,w))*.
% 299.72/300.48  23303[0:SpR:3654.0,19613.1] ||  -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,skf48(c_fequal(c_Int_Onat__aux(u,w))))*.
% 299.72/300.48  10131[0:SpL:9370.1,2129.1] || equal(u,skf50(v))* equal(v,u) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  10412[0:SpL:9370.1,10149.0] || equal(u,v) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(skf50(u),skf50(v))*.
% 299.72/300.48  11443[0:SpL:9370.1,11348.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),skf50(v))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  18440[0:Rew:18346.1,18410.0] || equal(skf50(c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,v))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  20111[0:SpL:9370.1,18225.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  10105[0:SpR:9370.1,2493.1] || equal(u,skf50(v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,u,v)*.
% 299.72/300.48  10111[0:SpR:9370.1,2779.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,u,v)*.
% 299.72/300.48  5852[0:SpR:5744.1,284.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),v)**.
% 299.72/300.48  5854[0:SpR:5744.1,274.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Nat_Onat_Onat__case(v,w,x),u),w)**.
% 299.72/300.48  10086[0:SpR:9370.1,7318.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  10089[0:SpR:9370.1,7319.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),c_Int_Onat__aux(v,u)))*.
% 299.72/300.48  10130[0:SpL:9370.1,3132.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(v,u)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  11092[0:SpL:9370.1,10790.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),skf50(u))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  11989[0:SpL:3749.0,10132.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),skf50(u))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  18208[0:SpL:15222.0,3132.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),u)* -> .
% 299.72/300.48  18346[0:SpR:9370.1,18149.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(v,skf50(u)),skf50(c_Int_Onat__aux(v,u)))**.
% 299.72/300.48  19420[8:SpL:12545.1,19325.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(skf64(u))*.
% 299.72/300.48  22357[0:SpR:9370.1,18166.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(w,c_Int_Onat__aux(x,u)))*.
% 299.72/300.48  20963[0:SpR:3749.0,15552.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w))*.
% 299.72/300.48  18505[0:Rew:18346.1,18453.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(c_Int_Onat__aux(w,u)),c_Int_Onat__aux(w,u))*.
% 299.72/300.48  24123[0:SpR:3749.0,11363.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),c_Int_Onat__aux(skf48(c_fequal(u)),w))*.
% 299.72/300.48  27896[0:SpR:9370.1,27876.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  23326[0:SpR:9370.1,19615.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,skf48(c_fequal(c_Int_Onat__aux(w,c_Int_Onat__aux(x,u)))))*.
% 299.72/300.48  23286[0:SpR:3749.0,19613.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),w))))*.
% 299.72/300.48  19096[0:SpL:18862.1,3733.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.48  18524[0:SpR:9370.1,18125.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,u)))*.
% 299.72/300.48  2266[0:SpL:1878.0,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> .
% 299.72/300.48  10085[0:SpR:9370.1,3092.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.48  42886[0:SpL:9370.1,42446.0] || equal(skf48(c_fequal(skf50(u))),skf48(c_fequal(u)))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.48  52083[0:Res:2032.0,863.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(hAPP(c_Nat_OSuc,u),u)),u)**.
% 299.72/300.48  58635[0:SpR:9370.1,57266.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf51(c_Int_Onat__aux(v,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  61618[0:SpR:9370.1,46475.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))*.
% 299.72/300.48  61848[0:SpR:9370.1,46655.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))*.
% 299.72/300.48  62771[0:SpL:1878.0,55273.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> .
% 299.72/300.48  64782[0:SpR:9370.1,64662.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.72/300.48  71808[0:Res:2803.1,24466.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.48  12339[0:SpR:12099.0,2070.1] || equal(hAPP(c_Int_Onat,skf57(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.72/300.48  12756[0:Rew:12519.0,6680.1] || equal(skf57(c_fequal(u)),u) -> hBOOL(hAPP(c_fequal(u),skf48(c_fequal(v))))*.
% 299.72/300.48  14668[0:SpR:12589.1,12664.0] || equal(hAPP(c_Int_Onat,skf47(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(u)).
% 299.72/300.48  49090[8:SpR:48262.0,12589.1] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)).
% 299.72/300.48  12761[0:Rew:12519.0,7060.1] || equal(skf47(c_COMBI(u)),v)* equal(skf48(c_fequal(v)),skf48(c_Int_Onat))** -> .
% 299.72/300.48  17719[0:SpL:13680.1,4440.0] || equal(skf47(c_COMBI(u)),v)* hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.72/300.48  17721[0:SpL:13680.1,6531.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Int_Onat))** -> .
% 299.72/300.48  17722[3:SpL:13680.1,6561.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_fNot))** -> .
% 299.72/300.48  20690[8:SpL:5744.1,20598.0] || equal(skf47(c_COMBI(u)),v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  55434[0:SpL:13680.1,55411.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Int_Onat))** -> .
% 299.72/300.48  7059[0:SpL:2070.1,7044.0] || equal(skf47(c_COMBI(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> .
% 299.72/300.48  6682[0:Res:5746.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_fequal(u))),u)** -> hBOOL(hAPP(c_fequal(u),v))*.
% 299.72/300.48  69221[0:SSi:69194.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.48  42129[2:SpR:13147.1,42116.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  42147[2:SpR:12435.1,42117.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  42269[2:SpR:12260.1,42118.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  42278[2:SpR:13680.1,42119.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40615[2:SpR:13147.1,40602.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40702[2:SpR:12435.1,40603.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40703[2:SpR:12260.1,40604.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  40712[2:SpR:13680.1,40605.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.48  8776[4:MRR:4961.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  4988[0:Res:222.0,4192.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.48  25616[0:SpR:2170.1,25608.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  11919[0:SpR:2170.1,11915.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  25423[0:SpR:2170.1,25416.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.48  20739[0:SpR:2170.1,20725.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  16591[2:SpR:12260.1,12148.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  17201[2:SpR:12435.1,12347.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  17490[2:SpR:13147.1,12504.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  17680[2:SpR:13680.1,13533.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  2411[0:SpL:263.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.72/300.48  16592[2:SpR:12260.1,12149.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  17202[2:SpR:12435.1,12348.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  17491[2:SpR:13147.1,12505.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  17681[2:SpR:13680.1,13534.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  2345[0:SpL:263.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.72/300.48  6977[0:Res:6728.1,4192.0] || equal(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,skf60(c_fNot)))*.
% 299.72/300.48  49183[8:SpL:48262.0,3620.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.48  73559[0:SpL:12589.1,73420.0] || equal(skf48(c_COMBI(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.72/300.48  64784[0:SpR:15222.0,64662.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))))*.
% 299.72/300.48  25613[0:SpR:5744.1,25608.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  11917[0:SpR:5744.1,11915.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.72/300.48  80747[2:SoR:6731.0,53863.1] || equal(u,skf48(c_fNot)) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> .
% 299.72/300.48  16622[0:SpR:12260.1,11909.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  64464[2:MRR:64307.2,251.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> .
% 299.72/300.48  25420[0:SpR:5744.1,25416.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.72/300.48  20736[0:SpR:5744.1,20725.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.72/300.48  80526[2:SoR:6731.0,53625.1] || equal(u,skf48(c_fNot)) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> .
% 299.72/300.48  25527[0:SpR:12260.1,25517.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  75131[0:MRR:75113.1,22515.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.48  75128[0:SSi:75108.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.48  20577[0:SpL:2170.1,20514.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> .
% 299.72/300.48  51182[0:Res:246.0,12634.1] || hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.48  12496[0:SpR:12100.0,2070.1] || equal(hAPP(c_Int_Onat,skf48(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.72/300.48  12289[0:SpL:5744.1,12169.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  12452[0:SpL:5744.1,12364.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  13196[0:SpL:5744.1,12522.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  13722[0:SpL:5744.1,13563.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  12140[0:SpR:12098.0,2070.1] || equal(hAPP(c_Int_Onat,skf60(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.72/300.48  19378[0:SpL:601.0,16194.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))** -> .
% 299.72/300.48  4546[0:SpL:2170.1,4510.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> .
% 299.72/300.48  23985[0:SpR:2170.1,23972.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  24445[0:SpR:2170.1,24313.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.48  3612[0:SpR:2170.1,3535.0] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_fequal(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.48  14266[0:SpL:5744.1,14258.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf48(v))* -> .
% 299.72/300.48  14280[0:SpL:5744.1,14259.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf57(v))* -> .
% 299.72/300.48  14293[0:SpL:5744.1,14260.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf60(v))* -> .
% 299.72/300.48  14302[0:SpL:5744.1,14261.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf47(v))* -> .
% 299.72/300.48  26093[0:SpL:2170.1,26073.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> .
% 299.72/300.48  9046[4:SpR:2170.1,8783.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,v))*.
% 299.72/300.48  51680[4:SpL:5744.1,51615.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf46(c_Int_Onat))** -> .
% 299.72/300.48  53681[2:SpR:5744.1,53622.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* hBOOL(v).
% 299.72/300.48  53876[2:SpR:5744.1,53804.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* hBOOL(v).
% 299.72/300.48  39743[0:MRR:39711.1,1844.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.72/300.48  20445[0:SSi:20419.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))**.
% 299.72/300.48  7481[0:SpR:6450.1,2664.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)* -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.48  47636[4:MRR:47635.0,8759.0] || hBOOL(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.48  2385[0:SpL:262.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)*.
% 299.72/300.48  2319[0:SpL:262.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)*.
% 299.72/300.48  5847[0:SpR:5744.1,5629.0] || equal(u,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.48  5872[0:SpR:5744.1,262.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),v)**.
% 299.72/300.48  5874[0:SpR:5744.1,5629.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))))*.
% 299.72/300.48  5875[0:SpR:5744.1,263.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u),v)**.
% 299.72/300.48  5949[0:SpR:5744.1,2664.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v),v)**.
% 299.72/300.48  6298[0:SpL:5744.1,2209.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.48  14296[0:SpL:9234.1,14260.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)* -> .
% 299.72/300.48  14836[0:SpR:12545.1,11296.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,v)))*.
% 299.72/300.48  14853[0:SpL:12545.1,9538.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,skf64(v)),skf64(u))** -> .
% 299.72/300.48  14862[0:SpL:12545.1,9714.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,v),skf50(skf64(u)))** -> .
% 299.72/300.48  16756[2:SpL:9234.1,16590.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(u,v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  9254[0:SpL:8904.1,6523.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf60(c_Int_Onat)) -> hBOOL(skf64(u))*.
% 299.72/300.48  9255[3:SpL:8904.1,6553.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_fNot)) -> hBOOL(skf64(u))*.
% 299.72/300.48  23885[0:SpR:12545.1,22821.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(u,w))*.
% 299.72/300.48  16115[0:SpR:12545.1,11419.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,skf50(skf64(u)),c_Int_Onat__aux(u,w))*.
% 299.72/300.48  14821[4:SpR:12545.1,8780.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u),c_Int_Onat__aux(u,v))*.
% 299.72/300.48  23039[4:SpR:12545.1,22963.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(c_Int_Onat__aux(u,v)))*.
% 299.72/300.48  46415[0:MRR:46404.1,16893.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf64(u)),v))*.
% 299.72/300.48  55645[0:SpL:12545.1,55402.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf49(c_Int_Onat)) -> hBOOL(skf64(u))*.
% 299.72/300.48  69918[0:SpL:12545.1,69878.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  73629[4:SpL:12545.1,73451.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Int_Onat)) -> hBOOL(skf64(u))*.
% 299.72/300.48  75575[4:SpR:9234.1,75566.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))*.
% 299.72/300.48  53595[2:Res:587.1,52308.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.48  56504[0:Res:587.1,55301.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)** -> .
% 299.72/300.48  38583[0:Res:587.1,38532.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)** -> .
% 299.72/300.48  38561[0:SSi:38475.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> .
% 299.72/300.48  56167[0:Res:587.1,55085.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)** -> .
% 299.72/300.48  38594[0:Res:587.1,38533.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)** -> .
% 299.72/300.48  29875[0:MRR:29867.1,16178.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> .
% 299.72/300.48  50025[0:SSi:50024.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),u)** -> .
% 299.72/300.48  49883[0:SSi:49882.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))** -> .
% 299.72/300.48  75087[0:MRR:75066.1,16194.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),u))* -> .
% 299.72/300.48  38680[0:SSi:38656.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),u))* -> .
% 299.72/300.48  51184[0:Res:256.0,12634.1] || hBOOL(hAPP(u,skf57(v)))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.48  13828[0:SpR:12335.0,6450.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)))* -> equal(c_Int_Onat__aux(u,w),w)**.
% 299.72/300.48  17127[0:Res:6728.1,12380.0] || equal(skf48(c_fequal(skf57(u))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,skf60(c_fNot)))*.
% 299.72/300.48  17125[0:Res:222.0,12380.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf57(u)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf57(u)))))*.
% 299.72/300.48  17173[4:MRR:17073.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u)))))*.
% 299.72/300.48  78473[0:Rew:2526.0,78444.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),skf48(c_fequal(c_Int_Onat__aux(skf57(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.48  12662[0:Rew:12519.0,12357.1] || equal(skf57(u),v) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,v))),skf57(u))*.
% 299.72/300.48  13839[0:SpR:5744.1,12335.0] || equal(skf57(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w),w)**.
% 299.72/300.48  27551[8:SpL:5744.1,27461.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf47(c_Int_Onat))** -> .
% 299.72/300.48  28467[4:SpL:5744.1,28428.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_fNot))** -> .
% 299.72/300.48  41111[2:SpR:12435.1,41027.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.48  41163[2:SpR:12435.1,41050.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41279[2:SpR:12435.1,41105.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.48  41438[2:SpR:12435.1,41106.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  41439[2:SpR:12435.1,41123.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41951[2:SpR:12435.1,41150.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42610[2:SpR:12435.1,42544.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.48  42673[2:SpR:12435.1,42567.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42759[2:SpR:12435.1,42604.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.48  42761[2:SpR:12435.1,42605.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  42762[2:SpR:12435.1,42622.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42825[2:SpR:12435.1,42660.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  51754[4:SpL:5744.1,51617.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf46(c_Int_Onat))** -> .
% 299.72/300.48  12778[0:Rew:12519.0,12338.1] || equal(hAPP(c_Int_Onat,skf57(u)),v)* -> equal(skf57(u),skf48(c_fequal(v)))*.
% 299.72/300.48  20447[0:SSi:20423.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)))**.
% 299.72/300.48  12846[0:Rew:12519.0,6784.0] || equal(skf48(c_fequal(u)),skf48(c_fNot))** hBOOL(hAPP(c_Int_Onat,skf57(c_Int_Onat)))* -> .
% 299.72/300.48  42674[2:SpR:13147.1,42567.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  42749[2:SpR:12435.1,42603.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  42763[2:SpR:12260.1,42622.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  42826[2:SpR:13680.1,42660.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  42597[2:SpR:13147.1,42544.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42748[2:SpR:12435.1,42603.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42750[2:SpR:12260.1,42604.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42760[2:SpR:13680.1,42605.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41164[2:SpR:13147.1,41050.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  41269[2:SpR:12435.1,41104.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  41440[2:SpR:12260.1,41123.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  41952[2:SpR:13680.1,41150.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.48  41098[2:SpR:13147.1,41027.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41268[2:SpR:12435.1,41104.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41270[2:SpR:12260.1,41105.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41437[2:SpR:13680.1,41106.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  68587[8:SpL:2526.0,49181.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.48  49099[8:SpR:48262.0,26052.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))))*.
% 299.72/300.48  63097[8:SpR:49081.0,63055.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))))*.
% 299.72/300.48  49095[8:SpR:48262.0,26285.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))))*.
% 299.72/300.48  49091[8:SpR:48262.0,3654.0] ||  -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.72/300.48  66437[8:SpL:49088.0,3051.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.48  49448[8:SpR:49081.0,2871.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  49441[8:SpR:49081.0,11361.0] ||  -> SkP1(u,skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(v,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.48  49093[8:SpR:48262.0,22551.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat)),skf50(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u))))*.
% 299.72/300.48  49092[8:SpR:48262.0,9514.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u))))*.
% 299.72/300.48  49179[8:SpL:48262.0,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.72/300.48  49105[8:SpR:48262.0,3627.1] || hBOOL(hAPP(skf62(c_Int_Onat,skf47(c_Int_Onat)),u))* -> SkP1(c_Int_Onat,skf47(c_Int_Onat),u).
% 299.72/300.48  49106[8:SpR:48262.0,3626.1] || hBOOL(hAPP(skf62(c_Int_Onat,skf47(c_Int_Onat)),u))* -> SkP2(c_Int_Onat,skf47(c_Int_Onat),u).
% 299.72/300.48  73558[0:SpL:12874.1,73420.0] || equal(skf48(c_COMBI(u)),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.72/300.48  73620[4:SpL:12874.1,73451.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> hBOOL(u)*.
% 299.72/300.48  27543[8:SpL:5744.1,27460.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf47(c_Int_Onat))** -> .
% 299.72/300.48  27568[8:SpL:5744.1,27462.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf47(c_Int_Onat))** -> .
% 299.72/300.48  49094[8:SpR:48262.0,12874.1] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),u)* -> equal(skf48(c_fequal(u)),skf47(c_Int_Onat))**.
% 299.72/300.48  49188[8:SpL:48262.0,12873.0] || equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),u)*.
% 299.72/300.48  24948[8:SpL:13412.1,20611.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  50214[8:SpL:13412.1,50212.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  20620[8:SpL:6450.1,20611.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  49204[8:SpL:48262.0,5838.0] || equal(u,skf47(c_Int_Onat)) -> equal(hAPP(c_Int_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.72/300.48  50217[8:SpL:6450.1,50212.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.48  78475[0:Rew:2526.0,78446.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),skf48(c_fequal(c_Int_Onat__aux(skf47(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.48  53466[0:MRR:53410.0,13562.0] ||  -> equal(skf48(c_fequal(skf62(u,skf47(u)))),skf47(u))** hBOOL(hAPP(u,v))*.
% 299.72/300.48  21054[0:Res:6728.1,16218.0] || equal(skf48(c_fequal(skf47(u))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,skf60(c_fNot)))*.
% 299.72/300.48  21052[0:Res:222.0,16218.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf47(u)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf47(u)))))*.
% 299.72/300.48  21111[4:MRR:20996.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u)))))*.
% 299.72/300.48  20449[0:SSi:20425.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)))**.
% 299.72/300.48  13557[0:SpR:5744.1,12664.0] || equal(skf47(u),v) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,v))),skf47(u))*.
% 299.72/300.48  14041[0:SpR:5744.1,13757.0] || equal(skf47(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w),w)**.
% 299.72/300.48  27580[8:SpL:5744.1,27463.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf47(c_Int_Onat))** -> .
% 299.72/300.48  28524[4:SpL:5744.1,28430.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_fNot))** -> .
% 299.72/300.48  41157[2:SpR:13680.1,41029.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.48  41249[2:SpR:13680.1,41052.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41467[2:SpR:13680.1,41125.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41962[2:SpR:13680.1,41151.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.48  42667[2:SpR:13680.1,42546.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.48  42719[2:SpR:13680.1,42569.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42815[2:SpR:13680.1,42624.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42836[2:SpR:13680.1,42661.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.48  51787[4:SpL:5744.1,51619.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf46(c_Int_Onat))** -> .
% 299.72/300.48  13551[0:SpR:12664.0,12874.1] || equal(hAPP(c_Int_Onat,skf47(u)),v)* -> equal(skf47(u),skf48(c_fequal(v)))*.
% 299.72/300.48  51186[0:Res:252.0,12634.1] || hBOOL(hAPP(u,skf47(v)))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.48  14030[0:SpR:13757.0,6450.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)))* -> equal(c_Int_Onat__aux(u,w),w)**.
% 299.72/300.48  47599[8:MRR:47596.1,19248.0] || equal(skf62(c_Int_Onat,u),skf47(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.48  12755[3:Rew:12519.0,6638.1] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_fNot))** -> hBOOL(u)*.
% 299.72/300.48  6549[3:SpR:5744.1,5849.1] || equal(u,v)* equal(u,skf47(c_fNot))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.48  42720[2:SpR:13147.1,42569.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  42816[2:SpR:12260.1,42624.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  42878[2:SpR:13680.1,42662.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  42654[2:SpR:13147.1,42546.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42827[2:SpR:12260.1,42661.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  42877[2:SpR:13680.1,42662.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41250[2:SpR:13147.1,41052.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  41468[2:SpR:12260.1,41125.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  41964[2:SpR:13680.1,41152.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.48  41144[2:SpR:13147.1,41029.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41953[2:SpR:12260.1,41151.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  41963[2:SpR:13680.1,41152.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  51694[4:SpL:5744.1,51616.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf46(c_Int_Onat))** -> .
% 299.72/300.48  51773[4:SpL:5744.1,51618.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf46(c_Int_Onat))** -> .
% 299.72/300.48  51622[0:SpL:13147.1,51594.0] || equal(skf48(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf46(c_Int_Onat))** -> .
% 299.72/300.48  64466[8:MRR:64423.1,64423.2,19248.0,8759.0] || equal(skf62(c_Int_Onat,u),skf49(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.48  55433[8:MRR:55426.1,19248.0] || equal(skf62(c_Int_Onat,u),skf49(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.48  47600[8:MRR:47597.1,19248.0] || equal(skf62(c_Int_Onat,u),skf60(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.48  7668[0:SpL:407.1,334.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  7705[0:SpL:405.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  7923[0:SpL:406.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  7968[0:SpL:403.1,334.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  8039[0:SpL:401.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  8086[0:SpL:402.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  7969[0:SpL:403.1,333.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  8040[0:SpL:401.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  8087[0:SpL:402.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))*.
% 299.72/300.48  7924[0:SpL:406.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  7706[0:SpL:405.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  7669[0:SpL:407.1,333.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.48  7879[0:SpL:413.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP2(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  7880[0:SpL:413.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP1(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u),v)*.
% 299.72/300.48  73306[2:SSi:73263.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)))))*.
% 299.72/300.48  57871[2:SSi:57842.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  72018[0:SpR:10150.1,71735.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_fequal(skf50(u))),skf50(u))**.
% 299.72/300.48  56410[0:SpL:9385.1,56386.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf50(u))** -> .
% 299.72/300.48  24118[0:SSi:24114.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Polynomial_Osmult(tc_Nat_Onat),skf50(u)))*.
% 299.72/300.48  10894[0:SpR:10150.1,10855.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf50(u)))*.
% 299.72/300.48  10270[0:SpL:10150.1,251.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf50(u)))* -> .
% 299.72/300.48  10216[0:SpR:10150.1,2525.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Int_Onat__aux(v,skf50(u)),hAPP(c_Int_Onat,v))**.
% 299.72/300.48  10197[0:SpR:10150.1,243.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf50(u)))*.
% 299.72/300.48  10889[0:SpR:10150.1,10853.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)))*.
% 299.72/300.48  46482[0:SpR:3703.0,19655.0] ||  -> SkP0(u,skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.48  46662[0:SpR:3704.0,19655.0] ||  -> SkP0(u,skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf64(w)))))*.
% 299.72/300.48  23328[0:SpR:15222.0,19615.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,y)))))))*.
% 299.72/300.48  19040[0:SpR:18862.1,3732.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),w)**.
% 299.72/300.48  19083[0:SpR:18862.1,3634.0] ||  -> SkP0(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.48  56129[0:SSi:56116.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP0(u,skf48(c_fequal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.72/300.48  25552[0:Res:12816.1,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> SkP0(v,skf48(c_fequal(u)))*.
% 299.72/300.48  56596[0:SpR:12874.1,56586.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> SkP0(v,skf48(c_fequal(u)))*.
% 299.72/300.48  19732[0:SpR:12874.1,19067.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* SkP1(x,u,y)*.
% 299.72/300.48  21184[0:SpR:3689.1,19655.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  56602[0:SpR:12874.1,56585.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.48  24738[0:SpR:13412.1,19176.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,u))))*.
% 299.72/300.48  19635[0:SpR:12874.1,19176.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w)* -> SkP0(x,skf48(c_fequal(w)))*.
% 299.72/300.48  51094[0:Rew:354.1,50995.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))* -> hBOOL(v)*.
% 299.72/300.48  54421[0:Rew:354.1,54053.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.72/300.48  51093[0:Rew:351.1,50994.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))* -> hBOOL(v)*.
% 299.72/300.48  51096[0:Rew:363.1,51005.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))* -> hBOOL(v)*.
% 299.72/300.48  51099[0:Rew:365.1,51008.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf46(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))))* -> hBOOL(v)*.
% 299.72/300.48  54420[0:Rew:351.1,54052.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.72/300.48  54423[0:Rew:363.1,54063.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))*.
% 299.72/300.48  54426[0:Rew:365.1,54066.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))))*.
% 299.72/300.48  51095[0:Rew:355.1,50996.2] class_Groups_Omonoid__add(u) || hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))* -> hBOOL(v)*.
% 299.72/300.48  54422[0:Rew:355.1,54054.2] class_Groups_Omonoid__add(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.72/300.48  16853[0:SpR:361.1,507.1] class_Groups_Omonoid__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),v))*.
% 299.72/300.48  51097[0:Rew:359.1,51006.2] class_Groups_Omonoid__mult(u) || hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))* -> hBOOL(v)*.
% 299.72/300.48  54424[0:Rew:359.1,54064.2] class_Groups_Omonoid__mult(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))*.
% 299.72/300.48  16854[0:SpR:362.1,507.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),v))*.
% 299.72/300.48  51098[0:Rew:360.1,51007.2] class_Groups_Ocomm__monoid__mult(u) || hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))* -> hBOOL(v)*.
% 299.72/300.48  54425[0:Rew:360.1,54065.2] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))*.
% 299.72/300.48  14963[4:SpR:3753.0,8780.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.48  61073[4:Res:42157.0,529.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.72/300.48  26078[0:Rew:1878.0,26048.1] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  26079[0:Rew:1878.0,26050.1] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  26318[0:Rew:1878.0,26297.1] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  26319[0:Rew:1878.0,26299.1] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.48  63062[0:MRR:63025.0,220.0] || SkP0(u,v) -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.48  18898[0:SpR:13147.1,18869.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.48  18900[0:SpR:13147.1,18889.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  19177[0:SpR:13147.1,19159.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.48  61594[4:SpR:13147.1,61587.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(u).
% 299.72/300.48  63063[0:MRR:63022.0,220.0] || SkP0(u,v) -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.48  57805[2:SpR:5744.1,57789.0] || equal(u,v) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.72/300.48  6250[0:SpL:5744.1,287.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_fconj,u),w))* -> hBOOL(v)*.
% 299.72/300.48  6254[0:SpL:5744.1,288.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_fconj,w),u))* -> hBOOL(v)*.
% 299.72/300.48  10308[4:SpL:5744.1,10301.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u)*.
% 299.72/300.48  12754[0:Rew:12519.0,6628.1] || equal(u,v)* equal(skf48(c_fequal(v)),skf60(c_Int_Onat))** -> hBOOL(u)*.
% 299.72/300.48  55636[0:SpL:12874.1,55402.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf49(c_Int_Onat))** -> hBOOL(u)*.
% 299.72/300.48  17341[0:Res:6728.1,12538.0] || equal(skf48(c_fequal(skf48(u))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,skf60(c_fNot)))*.
% 299.72/300.48  16278[0:Res:6728.1,12183.0] || equal(skf48(c_fequal(skf60(u))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,skf60(c_fNot)))*.
% 299.72/300.48  55486[0:SpR:5744.1,54466.1] || equal(u,v)* equal(skf49(c_fNot),u)* -> hBOOL(hAPP(c_fNot,v))*.
% 299.72/300.48  10680[0:SpR:5744.1,10604.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),v)* -> hBOOL(hAPP(c_fNot,v))*.
% 299.72/300.48  29365[0:Rew:210.0,29232.2] || hBOOL(hAPP(c_Int_Onat,u))* equal(u,skf48(c_fequal(v)))* -> hBOOL(v).
% 299.72/300.48  16500[0:Res:539.0,9528.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(u)))* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf64(u)).
% 299.72/300.48  3139[0:SpL:316.1,3122.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  3131[0:Rew:2544.0,3111.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),u)* -> .
% 299.72/300.49  56372[0:Rew:10199.1,56363.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  18526[0:SpR:15222.0,18125.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.49  53508[0:Res:1881.0,888.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.49  11230[0:Rew:10199.1,11159.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))*.
% 299.72/300.49  77301[2:Rew:1878.0,77261.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(u).
% 299.72/300.49  53585[2:SoR:10682.1,52288.1] class_Orderings_Owellorder(u) || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Orderings_Oord__class_OLeast(u,c_fNot))* -> .
% 299.72/300.49  74896[2:Rew:1878.0,74861.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(u).
% 299.72/300.49  64436[2:Rew:1878.0,64370.1] || equal(u,skf49(c_fNot)) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> .
% 299.72/300.49  2802[0:Rew:2544.0,2789.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  55718[0:Rew:305.1,55717.1,26576.0,55717.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  78474[0:Rew:2526.0,78445.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),skf48(c_fequal(c_Int_Onat__aux(skf60(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  78472[0:Rew:2526.0,78443.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),skf48(c_fequal(c_Int_Onat__aux(skf48(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  23837[0:SpR:10413.1,23775.0] || equal(u,skf64(v)) -> SkP1(w,skf64(v),hAPP(c_Nat_OSuc,skf50(u)))*.
% 299.72/300.49  9660[0:SpL:2135.1,9528.0] || equal(skf64(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.49  20375[0:SpL:3749.0,18661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.49  30034[0:SpL:2526.0,18201.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.49  9378[0:Res:1608.1,1907.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,skf50(u)),u).
% 299.72/300.49  9662[0:SpL:5744.1,9528.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v)),u))* -> .
% 299.72/300.49  46458[0:SpR:3703.0,3623.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  46638[0:SpR:3704.0,3623.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)))*.
% 299.72/300.49  5877[0:SpR:5744.1,272.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v)**.
% 299.72/300.49  5880[0:SpR:5744.1,273.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u),v)**.
% 299.72/300.49  23777[0:Rew:2544.0,23763.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(u)) -> SkP1(v,u,hAPP(c_Nat_OSuc,skf64(w)))*.
% 299.72/300.49  11219[0:SpL:9385.1,3118.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,u),hAPP(c_Int_Onat,v))* -> .
% 299.72/300.49  18165[0:SpR:15222.0,2779.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,u,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x)))*.
% 299.72/300.49  5879[0:SpR:5744.1,5525.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))))*.
% 299.72/300.49  18385[0:Rew:10216.1,18345.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(skf50(c_Int_Onat__aux(v,u)),hAPP(c_Int_Onat,v))**.
% 299.72/300.49  43692[0:Rew:219.0,43691.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,c_Groups_Oone__class_Oone(tc_Nat_Onat),w),hAPP(v,w))**.
% 299.72/300.49  55565[0:Rew:302.1,55564.1,1607.0,55564.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  61144[4:SpR:2872.0,61085.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))))*.
% 299.72/300.49  3040[0:SpR:2526.0,2750.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  26087[0:SpL:5744.1,26073.0] || equal(u,v) equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v))),u)* -> .
% 299.72/300.49  54587[0:MRR:54576.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> .
% 299.72/300.49  8773[4:MRR:3520.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))))*.
% 299.72/300.49  7017[0:SpL:418.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,u).
% 299.72/300.49  7018[0:SpL:418.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v,u).
% 299.72/300.49  58438[4:SpR:5744.1,58331.0] || equal(u,v) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)))*.
% 299.72/300.49  58436[4:SpR:5744.1,58330.0] || equal(u,v) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)))*.
% 299.72/300.49  12884[0:Rew:12519.0,12495.1] || equal(hAPP(c_Int_Onat,skf48(u)),v)* -> equal(skf48(u),skf48(c_fequal(v)))*.
% 299.72/300.49  12771[0:Rew:12519.0,12139.1] || equal(hAPP(c_Int_Onat,skf60(u)),v)* -> equal(skf60(u),skf48(c_fequal(v)))*.
% 299.72/300.49  28216[0:EqR:12642.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(v)))))*.
% 299.72/300.49  12661[0:Rew:12519.0,12162.1] || equal(skf60(u),v) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,v))),skf60(u))*.
% 299.72/300.49  12886[0:Rew:12519.0,12514.1] || equal(skf48(u),v) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,v))),skf48(u))*.
% 299.72/300.49  65688[0:Res:222.0,938.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))*.
% 299.72/300.49  65745[0:Res:222.0,940.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),u))*.
% 299.72/300.49  51183[0:Res:257.0,12634.1] || hBOOL(hAPP(u,skf60(v)))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.49  51185[0:Res:253.0,12634.1] || hBOOL(hAPP(u,skf48(v)))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.72/300.49  20446[0:SSi:20422.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)))**.
% 299.72/300.49  13741[0:SpR:12136.0,6450.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)))* -> equal(c_Int_Onat__aux(u,w),w)**.
% 299.72/300.49  6676[0:SpR:5744.1,5746.1] || equal(u,v)* equal(u,w)* -> hBOOL(hAPP(c_fequal(w),v))*.
% 299.72/300.49  6519[0:SpR:5744.1,5848.1] || equal(u,v)* equal(u,skf60(c_Int_Onat))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  4543[0:SpL:2135.1,4510.0] || equal(u,v) equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),u)* -> .
% 299.72/300.49  56406[0:SpL:5744.1,56386.0] || equal(u,v) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))),u)* -> .
% 299.72/300.49  55392[0:SpR:5744.1,54454.1] || equal(u,v)* equal(skf49(c_Int_Onat),u)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  2898[0:SpL:2526.0,2129.1] || equal(u,hAPP(c_Int_Onat,v)) equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* -> .
% 299.72/300.49  24942[0:SpL:13412.1,9752.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),u),v)* -> .
% 299.72/300.49  13335[0:SpL:12874.1,9538.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)),u)* -> .
% 299.72/300.49  26112[0:SpR:5744.1,26075.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.72/300.49  55277[0:SpR:5744.1,54184.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.72/300.49  3540[0:Res:222.0,384.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)))))*.
% 299.72/300.49  16276[0:Res:222.0,12183.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf60(u)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf60(u)))))*.
% 299.72/300.49  17339[0:Res:222.0,12538.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf48(u)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf48(u)))))*.
% 299.72/300.49  57945[0:SpR:5744.1,57925.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v)))*.
% 299.72/300.49  57942[0:SpR:5744.1,57924.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v)))*.
% 299.72/300.49  24472[0:SpR:5744.1,24274.0] || equal(u,v) -> SkP1(w,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))*.
% 299.72/300.49  61850[0:SpR:15222.0,46655.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))),v))*.
% 299.72/300.49  24468[0:SpR:5744.1,24274.0] || equal(u,v) -> SkP1(w,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))*.
% 299.72/300.49  71960[0:SSi:71908.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)))*.
% 299.72/300.49  46481[0:SpR:3703.0,15581.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.49  61620[0:SpR:15222.0,46475.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))))*.
% 299.72/300.49  46661[0:SpR:3704.0,15581.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf64(w)))*.
% 299.72/300.49  25716[0:SpR:682.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  23959[0:Res:520.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  23960[0:Res:533.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  12061[0:SpR:10413.1,10800.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),hAPP(c_Nat_OSuc,skf64(v)))*.
% 299.72/300.49  10806[0:SpR:5744.1,10800.0] || equal(skf64(u),v) -> SkP1(w,skf50(skf64(u)),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  15470[4:SpR:5744.1,15442.0] || equal(hAPP(c_Nat_OSuc,u),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  61113[4:Res:42157.0,518.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.72/300.49  15462[4:SpR:5744.1,15442.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  14990[0:SpR:3753.0,11364.0] ||  -> SkP1(u,skf50(skf64(v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.72/300.49  9677[0:SpL:5744.1,9523.0] || equal(skf64(u),v) equal(hAPP(c_Nat_OSuc,v),skf50(skf64(u)))* -> .
% 299.72/300.49  21849[0:Res:7329.1,21720.0] ||  -> SkP1(u,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)),v)**.
% 299.72/300.49  21302[0:Res:7329.1,21243.0] ||  -> SkP1(u,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)),v)**.
% 299.72/300.49  25739[0:SpL:682.0,6666.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))** -> .
% 299.72/300.49  7326[0:Res:437.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.49  60649[0:SpR:3762.0,24282.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.72/300.49  8772[4:MRR:3505.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)))))*.
% 299.72/300.49  24495[0:SpR:5744.1,24282.0] || equal(u,v) -> SkP1(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x),u)*.
% 299.72/300.49  16328[4:MRR:16225.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u)))))*.
% 299.72/300.49  17395[4:MRR:17286.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u)))))*.
% 299.72/300.49  6255[0:SpL:5744.1,286.0] || equal(u,v)* hBOOL(hAPP(c_fequal(w),u))* -> equal(w,v)*.
% 299.72/300.49  2412[0:SpL:273.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  2346[0:SpL:273.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  13274[4:SpR:12874.1,8780.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.72/300.49  15425[4:SpR:3753.0,14956.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.49  47708[4:SpR:3757.0,8769.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.72/300.49  21664[0:SpR:3690.1,2527.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,skf44(u,v),v)*.
% 299.72/300.49  16506[0:Res:539.0,2538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,u)))* equal(c_Int_Onat__aux(v,u),u).
% 299.72/300.49  12415[0:Res:533.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,v),u) -> .
% 299.72/300.49  21182[0:SpR:3689.1,15581.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  51057[0:Res:300.1,50956.0] || equal(skf46(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  55172[0:SpR:5744.1,54123.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  55599[0:SpR:5744.1,55204.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  9669[0:SpR:5744.1,9491.0] || equal(skf64(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))*.
% 299.72/300.49  9992[0:SpR:9487.0,301.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* SkP1(w,v,skf50(skf64(u)))*.
% 299.72/300.49  12056[0:SpR:10413.1,9491.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),skf64(v)))*.
% 299.72/300.49  9377[0:Res:375.1,1907.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,skf50(u)),u).
% 299.72/300.49  51058[0:Res:7329.1,50956.0] ||  -> SkP1(u,skf46(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.72/300.49  74418[0:SpR:9368.0,27877.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf64(u)))))*.
% 299.72/300.49  11272[0:SpR:3749.0,9497.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)))*.
% 299.72/300.49  7347[0:SpR:2526.0,7319.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  56563[0:SpL:9487.0,55613.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),skf50(skf64(u))))* -> .
% 299.72/300.49  10519[0:Res:149.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Orderings_Oord__class_OLeast(u,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.72/300.49  55176[0:Res:54123.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)))))*.
% 299.72/300.49  55593[0:SpR:2135.1,55204.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.49  55603[0:Res:55204.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)))))*.
% 299.72/300.49  19827[0:Res:301.0,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Nat_OSuc,u),v)*.
% 299.72/300.49  42017[4:SpR:3705.1,18147.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  42046[0:SpR:3705.1,11351.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,skf52(u,v),v)*.
% 299.72/300.49  42076[0:SpL:3705.1,3051.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(skf52(u,v),v) -> .
% 299.72/300.49  45948[4:Rew:42016.1,45890.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(v),v)*.
% 299.72/300.49  55194[0:SpR:5744.1,54158.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.72/300.49  9513[0:SpR:9368.0,382.1] || equal(u,skf50(skf64(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))*.
% 299.72/300.49  42178[4:SpR:3709.1,18292.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u).
% 299.72/300.49  45422[0:SpR:3709.1,11419.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))* SkP1(w,skf50(skf64(v)),u)*.
% 299.72/300.49  12471[0:Res:520.1,9619.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))),u))* -> .
% 299.72/300.49  2486[0:SpL:316.1,2481.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))* -> .
% 299.72/300.49  2489[0:SpL:2135.1,2481.0] || equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.49  6260[0:SpL:5744.1,2538.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,v)),u))* -> .
% 299.72/300.49  22584[0:SpL:18347.0,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),u))* -> .
% 299.72/300.49  61142[4:MRR:61115.1,251.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.72/300.49  22587[0:SpL:18347.0,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(u,skf64(v)))),skf50(skf64(v))))* -> .
% 299.72/300.49  2809[0:SpL:2135.1,2538.0] || equal(c_Int_Onat__aux(u,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> .
% 299.72/300.49  12480[0:Res:520.1,9621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))),v))* -> .
% 299.72/300.49  27710[0:Res:3722.1,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),v))* -> .
% 299.72/300.49  51052[0:Res:301.0,50956.0] ||  -> SkP1(u,skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.72/300.49  69147[0:MRR:69098.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,w))),w))* -> .
% 299.72/300.49  27516[0:Res:3682.1,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),w))* -> .
% 299.72/300.49  7385[0:SpR:276.0,7330.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))))*.
% 299.72/300.49  22588[0:SpL:18347.0,2537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(u,skf64(v)))),hAPP(c_Int_Onat,u)))* -> .
% 299.72/300.49  27014[0:Res:26075.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u)))))))*.
% 299.72/300.49  55296[0:Res:54184.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u)))))))*.
% 299.72/300.49  18232[0:Rew:15222.0,18130.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.72/300.49  18200[0:SpL:15222.0,2481.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(u,v)))* -> .
% 299.72/300.49  56374[0:SpL:9487.0,55215.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),skf50(skf64(u))))* -> .
% 299.72/300.49  10537[0:Res:248.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Orderings_Oord__class_OLeast(u,c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.49  55196[0:Res:54158.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)))))*.
% 299.72/300.49  58534[0:Res:55206.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))))*.
% 299.72/300.49  18451[0:SpR:2526.0,18152.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Int_Onat,w)),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  18512[0:Rew:2526.0,18485.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Int_Onat,w)),c_Int_Onat__aux(w,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  56366[0:SpR:15222.0,56264.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w))))*.
% 299.72/300.49  62998[0:SpR:15222.0,62985.0] ||  -> SkP1(u,c_Int_Onat__aux(v,w),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.49  24736[0:SpR:13412.1,15529.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,u))*.
% 299.72/300.49  22359[0:SpR:15222.0,18166.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,y)))))*.
% 299.72/300.49  23977[0:SpR:2135.1,23972.0] || equal(u,v) -> SkP1(w,u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.49  23982[0:SpR:5744.1,23972.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP1(w,u,hAPP(c_Int_Onat,v))*.
% 299.72/300.49  24442[0:SpR:5744.1,24313.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> SkP1(w,u,hAPP(c_Int_Onat,v))*.
% 299.72/300.49  58076[0:SpR:5744.1,58057.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v)))*.
% 299.72/300.49  58298[2:SpR:5744.1,58203.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v)))*.
% 299.72/300.49  2318[0:SpL:272.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v)*.
% 299.72/300.49  2350[0:SpL:285.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_COMBK(w,x),u),y,v)*.
% 299.72/300.49  5767[0:SpR:5744.1,4935.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v,skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))*.
% 299.72/300.49  16872[0:Res:507.1,333.0] class_Rings_Odvd(u) ||  -> SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.72/300.49  16942[0:Res:509.1,333.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.72/300.49  17056[0:Res:508.1,333.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))*.
% 299.72/300.49  7105[0:SpL:414.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u).
% 299.72/300.49  12062[0:SpR:10413.1,11364.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),c_Int_Onat__aux(x,skf64(v)))*.
% 299.72/300.49  24158[0:MRR:24145.1,9533.0] || equal(u,skf64(v)) -> SkP1(w,skf50(skf64(v)),c_Int_Onat__aux(x,u))*.
% 299.72/300.49  2349[0:SpL:266.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.72/300.49  58190[4:SpR:5744.1,58178.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v)))*.
% 299.72/300.49  62999[0:SpR:2135.1,62985.0] || equal(hAPP(c_Nat_OSuc,u),v) -> SkP1(w,u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.49  62991[0:SpR:5744.1,62985.0] || equal(u,v) -> SkP1(w,u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  56354[0:SpR:2135.1,56264.0] || equal(u,v) -> SkP1(w,hAPP(c_Nat_OSuc,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.49  42561[2:SpR:13147.1,42543.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  42692[2:SpR:12260.1,42568.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  42574[2:SpR:13147.1,42543.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  42629[2:SpR:12260.1,42545.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  42701[2:SpR:13147.1,42568.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  42806[2:SpR:12260.1,42623.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  42616[2:SpR:13147.1,42545.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  42797[2:SpR:12260.1,42623.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  22920[4:SpR:3749.0,22543.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)))*.
% 299.72/300.49  9032[4:SpR:6450.1,8783.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,v),c_Int_Onat__aux(u,w))*.
% 299.72/300.49  18233[4:Rew:15222.0,18132.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  18136[4:SpR:15222.0,15420.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v),c_Int_Onat__aux(w,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  24720[4:SpR:13412.1,18259.0] || equal(u,skf64(v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.72/300.49  15434[4:SpR:5744.1,15420.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  58188[4:SpR:5744.1,58177.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v)))*.
% 299.72/300.49  22576[4:SpR:18347.0,18292.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))))*.
% 299.72/300.49  24734[4:SpR:13412.1,15420.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Int_Onat__aux(w,u))*.
% 299.72/300.49  8984[4:SpR:6450.1,8780.0] || equal(u,skf48(c_fequal(v))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Int_Onat__aux(u,w))*.
% 299.72/300.49  25114[4:SpR:3654.0,24689.1] || equal(hAPP(c_Int_Onat,u),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Int_Onat__aux(u,w))*.
% 299.72/300.49  74585[4:SpR:9487.0,74566.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))))*.
% 299.72/300.49  78430[0:SpR:9368.0,42448.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf50(skf64(u))))),skf48(c_fequal(skf64(u)))))*.
% 299.72/300.49  78481[0:SSi:78455.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),skf48(c_fequal(u))))* -> .
% 299.72/300.49  13352[0:SpL:12874.1,9752.0] || equal(skf64(u),v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),w)** -> .
% 299.72/300.49  56413[0:SpL:15222.0,56386.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))),c_Int_Onat__aux(u,v))** -> .
% 299.72/300.49  56414[0:SpL:2135.1,56386.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),u)* -> .
% 299.72/300.49  5943[0:SpR:5744.1,266.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.72/300.49  28459[4:SpL:5744.1,28427.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_fNot))** -> .
% 299.72/300.49  28484[4:SpL:5744.1,28429.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_fNot))** -> .
% 299.72/300.49  10411[0:SpL:2526.0,10149.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(skf50(u),hAPP(c_Int_Onat,v))*.
% 299.72/300.49  10672[0:SpR:5744.1,10603.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat),v)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  29292[0:Res:144.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_fequal(hAPP(c_Int_Onat,u)),v))*.
% 299.72/300.49  5846[0:SpR:5744.1,5525.0] || equal(u,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.72/300.49  69697[0:Rew:2545.0,69477.1,12610.0,69477.1] || hBOOL(hAPP(u,v))* equal(v,w)* -> hBOOL(hAPP(u,w))*.
% 299.72/300.49  26182[0:SpR:5744.1,26124.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.72/300.49  26192[0:SpR:5744.1,26189.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.72/300.49  51043[0:Res:5747.1,50956.0] || equal(skf46(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.72/300.49  55065[0:SpR:5744.1,54122.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.72/300.49  55614[0:SpR:5744.1,55294.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.72/300.49  5932[0:SpR:5744.1,269.1] class_Orderings_Opreorder(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.72/300.49  41231[2:SpR:13147.1,41051.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  41458[2:SpR:12260.1,41124.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  41117[2:SpR:13147.1,41028.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  41449[2:SpR:12260.1,41124.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  41057[2:SpR:13147.1,41026.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  41130[2:SpR:12260.1,41028.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  41044[2:SpR:13147.1,41026.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  41222[2:SpR:12260.1,41051.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  17503[0:SpR:13147.1,3614.0] || equal(skf48(c_fequal(u)),v)* -> equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u)*.
% 299.72/300.49  67668[15:SSi:67664.0,107.0] class_Int_Oring__char__0(t_a) || equal(v_cs____,u) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(t_a,u))*.
% 299.72/300.49  13937[0:SpR:12492.0,6450.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)))* -> equal(c_Int_Onat__aux(u,w),w)**.
% 299.72/300.49  9740[0:SpL:6450.1,9536.0] || equal(u,v) equal(c_Int_Onat__aux(u,skf64(w)),hAPP(c_Int_Onat,v))* -> .
% 299.72/300.49  7551[0:SpL:6450.1,2890.0] || equal(u,v) equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))* -> .
% 299.72/300.49  24929[0:SpL:13412.1,9536.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(w,u),hAPP(c_Int_Onat,w))* -> .
% 299.72/300.49  13759[0:SpR:5744.1,12136.0] || equal(skf60(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w),w)**.
% 299.72/300.49  13957[0:SpR:5744.1,12492.0] || equal(skf48(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w),w)**.
% 299.72/300.49  6274[0:SpL:5744.1,4510.0] || equal(u,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))* equal(hAPP(c_Int_Onat,u),v)* -> .
% 299.72/300.49  20574[0:SpL:5744.1,20514.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)* equal(hAPP(c_Int_Onat,v),u)* -> .
% 299.72/300.49  26175[0:SpL:2135.1,26096.0] || equal(u,v) equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),skf48(c_fequal(u)))* -> .
% 299.72/300.49  9762[0:SpL:6450.1,9538.0] || equal(u,skf48(c_fequal(v)))* equal(c_Int_Onat__aux(u,skf64(w)),v)* -> .
% 299.72/300.49  24941[0:SpL:13412.1,9538.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),u),w)** -> .
% 299.72/300.49  9773[0:SpL:6450.1,9752.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(c_Int_Onat__aux(u,w),w)** -> .
% 299.72/300.49  17605[0:SpL:13147.1,6687.0] || equal(skf48(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** -> .
% 299.72/300.49  5766[0:SpR:5744.1,4934.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v,skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))*.
% 299.72/300.49  26129[0:SpL:12260.1,26125.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),u)* -> .
% 299.72/300.49  24928[0:SpL:13412.1,9535.0] || equal(u,skf64(v)) equal(c_Int_Onat__aux(w,u),skf50(skf64(v)))* -> .
% 299.72/300.49  25224[0:MRR:25197.0,3718.1] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* -> equal(v,skf44(u,w))*.
% 299.72/300.49  58073[0:SpR:5744.1,58056.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v)))*.
% 299.72/300.49  58296[2:SpR:5744.1,58202.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v)))*.
% 299.72/300.49  63127[0:SpR:276.0,63096.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.49  18124[0:SpR:15222.0,276.0] ||  -> equal(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)))**.
% 299.72/300.49  20448[0:SSi:20424.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)))**.
% 299.72/300.49  18408[0:SpL:2526.0,18191.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)))** -> .
% 299.72/300.49  18344[0:SpR:2526.0,18149.0] ||  -> equal(skf50(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)))**.
% 299.72/300.49  2384[0:SpL:272.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v)*.
% 299.72/300.49  2416[0:SpL:285.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_COMBK(w,x),u),y,v)*.
% 299.72/300.49  2415[0:SpL:266.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.72/300.49  16871[0:Res:507.1,334.0] class_Rings_Odvd(u) ||  -> SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.72/300.49  16941[0:Res:509.1,334.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.72/300.49  17055[0:Res:508.1,334.0] class_Rings_Ocomm__semiring__1(u) ||  -> SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))*.
% 299.72/300.49  7104[0:SpL:414.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u).
% 299.72/300.49  16058[0:SpR:313.1,510.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.72/300.49  16848[0:SpR:313.1,507.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),v))*.
% 299.72/300.49  22525[0:SSi:22469.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),v)**.
% 299.72/300.49  53996[0:SpL:356.1,51176.0] class_Groups_Ogroup__add(u) || hBOOL(v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.72/300.49  53997[0:SpL:371.1,51176.0] class_Lattices_Oboolean__algebra(u) || hBOOL(v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.72/300.49  4936[0:Res:4896.0,384.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))))*.
% 299.72/300.49  20029[0:Obv:20028.1] class_Rings_Ocomm__semiring__0(u) ||  -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.72/300.49  43843[0:SpR:742.0,40052.0] ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Rings_Odvd__class_Odvd(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),x))*.
% 299.72/300.49  111865[18:MRR:17720.2,111803.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  111866[18:MRR:47612.1,111803.0] || equal(skf62(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.49  111867[18:MRR:9019.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)))))*.
% 299.72/300.49  114147[18:SpR:15222.0,111821.1] || equal(c_Int_Onat__aux(u,v),skf49(c_Nat_OSuc)) -> hBOOL(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  127230[18:Res:118137.1,12538.0] || equal(skf48(c_fequal(skf48(u))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.49  127231[18:Res:118137.1,12183.0] || equal(skf48(c_fequal(skf60(u))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.49  127391[18:Res:118137.1,4191.0] || equal(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.49  128124[18:Res:118137.1,4192.0] || equal(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.49  132035[18:Res:118137.1,12380.0] || equal(skf48(c_fequal(skf57(u))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.49  132490[18:Res:118137.1,16218.0] || equal(skf48(c_fequal(skf47(u))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.72/300.49  137253[18:SpR:5744.1,111821.1] || equal(u,v)* equal(skf49(c_Nat_OSuc),v)* -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.72/300.49  137362[18:SpR:5744.1,127201.0] || equal(u,v) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),v,skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)))*.
% 299.72/300.49  137363[18:SpR:5744.1,127202.0] || equal(u,v) -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),v,skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)))*.
% 299.72/300.49  138149[17:SpR:5744.1,108658.1] class_Orderings_Owellorder(u) || equal(v,c_Orderings_Oord__class_OLeast(u,c_Nat_OSuc))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  147226[2:SSi:147216.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))*.
% 299.72/300.49  147227[2:SSi:147217.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* -> hBOOL(u) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  148988[23:Res:148527.1,4356.1] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.72/300.49  150353[0:SSi:150321.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.49  150438[7:MRR:11495.0,150434.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.72/300.49  150485[0:SpL:5744.1,150320.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.72/300.49  150533[6:SpL:5744.1,150506.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  150655[4:SpR:5744.1,150394.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  150703[8:MRR:150694.1,19248.0] || equal(skf62(c_Int_Onat,u),skf47(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.49  150704[4:SpL:13680.1,150675.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.72/300.49  150754[4:SSi:150735.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf46(c_Int_Onat),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  150862[2:SpR:150568.0,6450.1] || equal(u,v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))* equal(c_Int_Onat__aux(v,w),w)**.
% 299.72/300.49  151701[0:SpL:2526.0,150319.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.72/300.49  151795[6:SpL:2526.0,151735.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  152858[2:SSi:152836.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> hBOOL(u).
% 299.72/300.49  154533[23:Res:148527.1,27439.1] || equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.72/300.49  155016[23:Res:148527.1,6276.1] || equal(hAPP(c_Int_Onat,u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,skf47(c_Int_Onat)) -> .
% 299.72/300.49  157310[0:SpL:9368.0,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),skf50(skf64(u))))* -> .
% 299.72/300.49  157391[4:SpR:2526.0,157334.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  157394[4:SpR:9370.1,157334.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.49  157552[0:Res:58754.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),skf50(skf64(u))))* -> .
% 299.72/300.49  157961[0:SpR:9368.0,75081.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf50(skf64(u))))),skf48(c_fequal(skf64(u)))))*.
% 299.72/300.49  158000[0:Rew:2526.0,157977.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),skf48(c_fequal(c_Int_Onat__aux(skf48(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  158001[0:Rew:2526.0,157978.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),skf48(c_fequal(c_Int_Onat__aux(skf60(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  158002[0:Rew:2526.0,157979.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),skf48(c_fequal(c_Int_Onat__aux(skf57(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  158003[0:Rew:2526.0,157980.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),skf48(c_fequal(c_Int_Onat__aux(skf47(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  158010[0:MRR:157993.1,42446.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),skf48(c_fequal(u))))* -> .
% 299.72/300.49  158719[18:Rew:14986.0,158718.1] || equal(hAPP(c_Nat_OSuc,u),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.49  159072[18:SpR:9887.0,116507.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.49  159231[18:SpR:9887.0,116508.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.49  163265[2:SSi:163236.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> hBOOL(u).
% 299.72/300.49  163268[2:SpR:5744.1,163232.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))*.
% 299.72/300.49  169174[2:SSi:169157.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(u).
% 299.72/300.49  169754[28:SpR:13147.1,169753.0] || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  170056[0:MRR:170055.1,2145.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u),v)**.
% 299.72/300.49  172401[0:SpL:170043.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  172402[0:SpL:170043.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  173243[0:SSi:173242.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),skf64(v)))*.
% 299.72/300.49  173391[0:SpL:12874.1,173257.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  173433[0:Rew:18347.0,173411.0,3749.0,173411.0] || equal(skf50(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(u)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  173413[0:SpL:6450.1,173257.0] || equal(skf48(c_fequal(u)),v) equal(c_Int_Onat__aux(v,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  173436[0:SpL:5744.1,173404.0] || equal(u,v) equal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  173462[0:SpL:13412.1,173404.0] || equal(u,hAPP(c_Int_Onat,v))* equal(c_Int_Onat__aux(v,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  173539[0:Rew:1657.0,173538.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  173910[8:SpL:48262.0,173541.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf47(c_Int_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  174965[0:SpR:2526.0,172506.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  175002[4:SpR:10150.1,174985.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  175122[4:SpR:13412.1,174995.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(v,u))*.
% 299.72/300.49  175174[4:SpR:3705.1,174999.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.72/300.49  175203[4:SpR:13412.1,175149.0] || equal(u,skf64(v))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.72/300.49  175435[4:SpR:12545.1,175193.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(u,v))*.
% 299.72/300.49  175444[4:SpR:18347.0,175193.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))))*.
% 299.72/300.49  175459[4:SpR:3709.1,175193.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))* SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u).
% 299.72/300.49  175494[0:SpR:2526.0,172507.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  175515[2:MRR:175508.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf49(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.49  176538[0:Res:176487.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v,w)))*.
% 299.72/300.49  176549[0:SpL:2135.1,176537.0] || equal(u,v) equal(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w,x),v)* -> .
% 299.72/300.49  176753[0:SpR:2135.1,176535.0] || equal(u,v) -> SkP1(w,v,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x,y))*.
% 299.72/300.49  64262[2:SSi:64238.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)).
% 299.72/300.49  64131[2:SSi:64108.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)).
% 299.72/300.49  62138[2:SSi:62101.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  5944[2:SpR:5744.1,4913.0] || equal(u,hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  29354[2:Res:4913.0,12641.0] || equal(skf48(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf48(c_fequal(u))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  51034[2:Res:5951.1,50956.0] || equal(skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  58500[2:Res:54544.1,50956.0] || equal(skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  159835[2:SSi:159796.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)).
% 299.72/300.49  42377[2:SSi:42348.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.72/300.49  5845[2:SpR:5744.1,4913.0] || equal(u,skf48(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  146539[10:MRR:146535.0,38830.0] ||  -> SkP0(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,w)))*.
% 299.72/300.49  146573[10:MRR:146569.0,38830.0] ||  -> SkP0(u,skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,w)))*.
% 299.72/300.49  147167[2:SpR:5744.1,146398.0] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  4930[2:SpR:2170.1,4913.0] || equal(skf48(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  58010[2:SSi:57997.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.72/300.49  7990[2:Res:7974.0,384.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))))*.
% 299.72/300.49  7173[0:SpL:412.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u).
% 299.72/300.49  7174[0:SpL:412.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u).
% 299.72/300.49  48323[2:SpR:13147.1,48075.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48341[2:SpR:12435.1,48076.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48342[2:SpR:12260.1,48077.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48351[2:SpR:13680.1,48078.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48630[2:SpR:12435.1,48524.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48770[2:SpR:13680.1,48526.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48518[2:SpR:13147.1,48500.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48649[2:SpR:12260.1,48525.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48910[2:SpR:12435.1,48590.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48938[2:SpR:13680.1,48592.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48584[2:SpR:13147.1,48502.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48920[2:SpR:12260.1,48591.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48948[2:SpR:12435.1,48617.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48611[2:SpR:13147.1,48503.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  49017[2:SpR:12260.1,48618.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  49027[2:SpR:13680.1,48619.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48554[2:SpR:13147.1,48501.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48789[2:SpR:12435.1,48560.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48791[2:SpR:12260.1,48561.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  48801[2:SpR:13680.1,48562.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  7997[2:SpR:5744.1,7989.0] || equal(u,v) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)))*.
% 299.72/300.49  58015[2:SpR:5744.1,58000.0] || equal(u,v) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)))*.
% 299.72/300.49  47678[2:SpR:13147.1,47482.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  47696[2:SpR:12435.1,47483.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  47697[2:SpR:12260.1,47484.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  47986[2:SpR:13680.1,47485.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  48567[2:SpR:12435.1,48501.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  48624[2:SpR:13680.1,48503.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  48531[2:SpR:13147.1,48500.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  48597[2:SpR:12260.1,48502.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  48800[2:SpR:12435.1,48561.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  49026[2:SpR:13680.1,48618.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  48658[2:SpR:13147.1,48525.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  48929[2:SpR:12260.1,48591.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  48802[2:SpR:12435.1,48562.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  48771[2:SpR:13147.1,48526.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  48939[2:SpR:12260.1,48592.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  49028[2:SpR:13680.1,48619.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  48631[2:SpR:13147.1,48524.0] || equal(skf48(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  48790[2:SpR:12435.1,48560.0] || equal(skf57(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  48911[2:SpR:12260.1,48590.0] || equal(skf60(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  48949[2:SpR:13680.1,48617.0] || equal(skf47(u),v)* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  46352[2:SpR:13147.1,46303.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  46370[2:SpR:12435.1,46304.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  46371[2:SpR:12260.1,46305.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  46380[2:SpR:13680.1,46306.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.72/300.49  46786[2:SpR:13147.1,46619.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  46804[2:SpR:12435.1,46620.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  46805[2:SpR:12260.1,46621.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  46814[2:SpR:13680.1,46622.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47149[2:SpR:13147.1,47014.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  47265[2:SpR:12435.1,47050.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  47368[2:SpR:12260.1,47108.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  47406[2:SpR:13680.1,47135.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(w))*.
% 299.72/300.49  47277[2:SpR:12435.1,47052.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  47246[2:SpR:13147.1,47016.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  47396[2:SpR:12260.1,47110.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  47440[2:SpR:13680.1,47137.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(w))*.
% 299.72/300.49  47057[2:SpR:12435.1,46991.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  47142[2:SpR:13680.1,46993.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  47021[2:SpR:13147.1,46990.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  47115[2:SpR:12260.1,46992.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(w))*.
% 299.72/300.49  47275[2:SpR:12435.1,47051.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  47438[2:SpR:13680.1,47136.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  47176[2:SpR:13147.1,47015.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  47386[2:SpR:12260.1,47109.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(w))*.
% 299.72/300.49  47148[2:SpR:12435.1,47014.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47245[2:SpR:13680.1,47016.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47008[2:SpR:13147.1,46990.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47167[2:SpR:12260.1,47015.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47367[2:SpR:12435.1,47108.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47395[2:SpR:13680.1,47110.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47102[2:SpR:13147.1,46992.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47377[2:SpR:12260.1,47109.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47405[2:SpR:12435.1,47135.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47129[2:SpR:13147.1,46993.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47429[2:SpR:12260.1,47136.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47439[2:SpR:13680.1,47137.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47044[2:SpR:13147.1,46991.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47264[2:SpR:12435.1,47050.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47266[2:SpR:12260.1,47051.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  47276[2:SpR:13680.1,47052.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  7995[2:SpR:5744.1,7988.0] || equal(u,v) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)))*.
% 299.72/300.49  58013[2:SpR:5744.1,57999.0] || equal(u,v) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)))*.
% 299.72/300.49  52877[2:Res:51889.0,820.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.72/300.49  74664[2:SSi:74641.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.72/300.49  4376[2:MRR:3506.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)))))*.
% 299.72/300.49  5022[2:MRR:4962.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.49  17174[2:MRR:17074.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf57(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf57(u)))))*.
% 299.72/300.49  21112[2:MRR:20997.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf47(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf47(u)))))*.
% 299.72/300.49  16329[2:MRR:16226.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf60(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf60(u)))))*.
% 299.72/300.49  17396[2:MRR:17287.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(u)))))*.
% 299.72/300.49  147203[2:SpR:5744.1,147171.1] || equal(u,v)* -> hBOOL(u)* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.72/300.49  147198[2:SSi:147180.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))).
% 299.72/300.49  179294[0:SSi:179293.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v),w)*.
% 299.72/300.49  179313[0:SSi:179312.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,skf64(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  179315[0:SSi:179314.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  179317[0:SSi:179316.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  179542[0:SpR:1075.0,245.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.49  179546[0:SpR:1075.0,16876.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.49  181480[0:SSi:180919.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Int_Oint)),v),v),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  181481[0:SSi:180920.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  181583[0:Rew:396.1,181582.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  182974[0:SSi:182953.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Polynomial_Omonom(tc_Int_Oint,u,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.49  183765[4:SpR:9887.0,175006.1] || equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  185124[4:SpR:185071.1,75566.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))*.
% 299.72/300.49  185203[2:SpL:185071.1,16590.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(u,v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  187648[0:SpR:12260.1,187574.0] || equal(skf60(u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* -> SkP0(v,skf60(u))*.
% 299.72/300.49  187649[0:SpR:13147.1,187574.0] || equal(skf48(u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* -> SkP0(v,skf48(u))*.
% 299.72/300.49  187650[0:SpR:13680.1,187574.0] || equal(skf47(u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* -> SkP0(v,skf47(u))*.
% 299.72/300.49  187651[0:SpR:12435.1,187574.0] || equal(skf57(u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* -> SkP0(v,skf57(u))*.
% 299.72/300.49  187652[0:SSi:187643.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  187656[0:SpR:18711.1,187575.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.49  188251[0:SSi:188239.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.72/300.49  188264[0:SSi:188252.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.72/300.49  188735[0:SpR:18711.1,188149.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)*.
% 299.72/300.49  188757[0:SpR:18711.1,188150.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)*.
% 299.72/300.49  188801[15:SSi:188800.0,107.0] || equal(c_Polynomial_Oorder(t_a,u,v_cs____),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),v_cs____).
% 299.72/300.49  189042[0:SSi:189041.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  14986[0:SpR:3753.0,3622.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))**.
% 299.72/300.49  15022[0:SpL:3753.0,11348.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))),v)** -> .
% 299.72/300.49  15035[0:SpL:3753.0,3635.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,u))** -> .
% 299.72/300.49  15042[0:Rew:2526.0,14985.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u)))**.
% 299.72/300.49  16067[0:SpR:403.1,510.1] class_Rings_Omult__zero(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  18236[0:Rew:15222.0,18196.0,15222.0,18196.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))),c_Int_Onat__aux(u,v))** -> .
% 299.72/300.49  18237[0:Rew:15222.0,18219.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)))),c_Int_Onat__aux(v,w))** -> .
% 299.72/300.49  18348[0:SpR:15222.0,18149.0] ||  -> equal(skf50(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))),c_Int_Onat__aux(u,c_Int_Onat__aux(v,w)))**.
% 299.72/300.49  18412[0:SpL:15222.0,18191.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(u,c_Int_Onat__aux(v,w)))** -> .
% 299.72/300.49  18443[0:Rew:3753.0,18416.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(v)),u))** -> .
% 299.72/300.49  21281[0:Res:18525.0,21243.0] ||  -> equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,skf64(v)))),c_Int_Onat__aux(u,skf64(v)))**.
% 299.72/300.49  21828[0:Res:18525.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,skf64(v)))),c_Int_Onat__aux(u,skf64(v)))**.
% 299.72/300.49  29790[0:AED:109.0,29741.2] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.49  30405[0:AED:109.0,30342.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  8471[0:AED:109.0,8465.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,v)))))*.
% 299.72/300.49  16173[0:Res:526.1,384.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.72/300.49  42888[0:SpL:15222.0,42446.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))),skf48(c_fequal(c_Int_Onat__aux(u,v))))** -> .
% 299.72/300.49  47863[0:SpL:3757.0,3051.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))),w)** -> .
% 299.72/300.49  47901[0:Rew:15042.0,47873.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),hAPP(c_Int_Onat,v))** -> .
% 299.72/300.49  53985[0:SpL:274.0,51176.0] || hBOOL(u) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(v,u,w),skf49(c_Nat_Onat_Onat__case(v,u,w))))*.
% 299.72/300.49  54303[0:Res:311.1,51176.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.72/300.49  54305[0:Res:510.1,51176.0] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.72/300.49  54306[0:Res:20707.1,51176.0] class_Rings_Olinordered__ring__strict(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.72/300.49  69879[0:SpL:15222.0,20169.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  71135[0:Rew:403.1,71039.2] class_Rings_Oring(u) class_Rings_Omult__zero(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  76474[15:SSi:76420.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,u),v)),w),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.72/300.49  76546[15:SSi:76503.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u),v)),w),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.72/300.49  76547[15:SSi:76504.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u),v)),w),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.72/300.49  70017[0:SpL:18347.0,20269.0] || equal(skf48(c_fequal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  68943[0:SpL:15222.0,64130.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.72/300.49  53453[0:Rew:224.0,53418.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(skf48(c_fequal(skf62(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  4884[0:Res:269.1,4191.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.49  19724[0:Res:18720.1,4191.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.72/300.49  4888[0:Res:301.0,4191.0] ||  -> SkP1(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.49  7376[0:Res:7329.1,4191.0] ||  -> SkP1(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.72/300.49  73546[4:SpL:13147.1,73449.0] || equal(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.72/300.49  75367[4:SpR:2169.1,75342.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.49  25771[0:SpL:15222.0,12686.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  24930[0:SpL:13412.1,20183.0] || equal(u,skf64(v))* equal(skf48(c_fequal(c_Int_Onat__aux(w,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  20285[0:SpL:12874.1,20183.0] || equal(c_Int_Onat__aux(u,skf64(v)),w)* equal(skf48(c_fequal(w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  20181[0:SpL:9385.1,18204.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf48(c_fequal(c_Int_Onat__aux(v,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  70008[0:SpL:12545.1,20269.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf48(c_fequal(c_Int_Onat__aux(u,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  17599[0:SpL:13147.1,9530.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  17612[0:SpL:13147.1,4514.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  15309[2:SpR:5744.1,14880.1] hBOOL(u) || equal(u,v)* -> hBOOL(hAPP(hAPP(c_fconj,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.49  29018[0:SSi:29006.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),skf48(v)))*.
% 299.72/300.49  29073[0:SSi:29064.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),skf57(v)))*.
% 299.72/300.49  29189[0:SSi:29181.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),skf60(v)))*.
% 299.72/300.49  29468[0:SSi:29460.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),skf47(v)))*.
% 299.72/300.49  20749[0:Res:585.1,13562.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.49  12800[0:Rew:12519.0,12324.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  28669[0:SSi:28652.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),skf48(v)))*.
% 299.72/300.49  28700[0:SSi:28686.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),skf57(v)))*.
% 299.72/300.49  28738[0:SSi:28725.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),skf60(v)))*.
% 299.72/300.49  28768[0:SSi:28755.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),skf47(v)))*.
% 299.72/300.49  20748[0:Res:585.1,12520.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.49  28886[0:SSi:28874.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),skf48(v)))*.
% 299.72/300.49  29033[0:SSi:29024.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),skf57(v)))*.
% 299.72/300.49  29135[0:SSi:29127.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),skf60(v)))*.
% 299.72/300.49  29203[0:SSi:29195.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),skf47(v)))*.
% 299.72/300.49  20747[0:Res:585.1,12362.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.49  28925[0:SSi:28911.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),skf48(v)))*.
% 299.72/300.49  29058[0:SSi:29047.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),skf57(v)))*.
% 299.72/300.49  29167[0:SSi:29157.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),skf60(v)))*.
% 299.72/300.49  29454[0:SSi:29444.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),skf47(v)))*.
% 299.72/300.49  20746[0:Res:585.1,12167.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.49  9068[4:SpL:5744.1,8785.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  9066[4:SpL:5744.1,8784.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  10362[0:SSi:10330.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u).
% 299.72/300.49  10400[0:SSi:10399.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.72/300.49  15311[2:SpR:5744.1,14880.1] hBOOL(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> hBOOL(hAPP(hAPP(c_fconj,u),v))*.
% 299.72/300.49  3971[0:SpR:3632.0,2673.1] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Int_Onat__aux(u,v),v)**.
% 299.72/300.49  3795[0:SpR:3749.0,2673.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),v)**.
% 299.72/300.49  4761[0:SpL:2673.1,3633.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* -> .
% 299.72/300.49  5171[0:SpR:3654.0,2673.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Int_Onat__aux(v,u),hAPP(c_Int_Onat,v))*.
% 299.72/300.49  12907[0:Rew:12519.0,12818.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.72/300.49  11300[0:SpR:2673.1,9514.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))*.
% 299.72/300.49  4736[0:SpL:2673.1,3629.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.49  46863[0:MRR:46833.1,222.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.72/300.49  75245[0:Rew:225.0,75233.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  7494[0:SpR:6450.1,2673.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* -> equal(c_Int_Onat__aux(v,w),w)**.
% 299.72/300.49  7864[0:SpL:5744.1,7856.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf48(c_fNot))** -> .
% 299.72/300.49  8197[3:SpL:5744.1,8195.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf47(c_fNot))** -> .
% 299.72/300.49  8199[0:SpL:5744.1,8196.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf60(c_Int_Onat))** -> .
% 299.72/300.49  9070[4:SpL:5744.1,8786.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.72/300.49  19760[8:SpL:5744.1,19335.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  18707[0:SpR:5744.1,18629.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* SkP0(w,v)*.
% 299.72/300.49  18669[0:SpR:5744.1,18627.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* SkP0(v,w)*.
% 299.72/300.49  8187[0:SpL:5744.1,8153.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))* -> .
% 299.72/300.49  51841[0:SpL:5744.1,51597.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf46(c_Int_Onat))** -> .
% 299.72/300.49  55755[0:SpL:5744.1,55414.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf49(c_Int_Onat))** -> .
% 299.72/300.49  72527[4:SpR:5744.1,71831.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  72704[10:SpR:5744.1,71845.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  72969[2:SpR:5744.1,72801.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  10653[0:Rew:268.0,10427.2] class_Orderings_Owellorder(u) || hBOOL(v)* -> hBOOL(c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))*.
% 299.72/300.49  8189[0:SpL:5744.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.49  18990[4:SpR:13680.1,18861.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  5939[0:SpR:5744.1,3279.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* SkP0(v,w)*.
% 299.72/300.49  4891[0:Res:300.1,4191.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.49  18637[0:SSi:18571.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),u).
% 299.72/300.49  16383[0:Res:540.0,326.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) SkP0(v,u)*.
% 299.72/300.49  44829[0:SpR:12675.1,12488.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  64263[0:SSi:64239.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.72/300.49  64264[0:SSi:64242.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> SkP0(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  12681[0:Rew:12519.0,12107.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),u).
% 299.72/300.49  18639[0:SSi:18604.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.72/300.49  51670[0:SSi:51653.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.49  55384[0:SSi:55373.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.72/300.49  64132[0:SSi:64111.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.72/300.49  47345[0:Rew:5412.1,47332.2,2169.1,47332.2] class_Rings_Oring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  55282[0:Res:54184.0,12546.0] ||  -> equal(skf48(c_fequal(skf64(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.72/300.49  64725[0:SpR:12874.1,64651.0] || equal(skf64(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.72/300.49  53542[2:SpL:5744.1,52144.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(u)*.
% 299.72/300.49  64730[0:SpR:5744.1,64651.0] || equal(skf48(c_fequal(skf64(u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.72/300.49  75827[0:SSi:75789.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  80601[2:SSi:80561.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))).
% 299.72/300.49  51991[2:SpR:13147.1,51877.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  74715[2:SpR:5744.1,74696.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  74718[2:SpR:2170.1,74696.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.72/300.49  74732[2:SSi:74729.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  12612[0:Rew:12519.0,8905.0] ||  -> equal(skf48(c_fequal(skf64(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.72/300.49  16588[0:SpR:12260.1,257.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.72/300.49  17198[0:SpR:12435.1,256.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.72/300.49  17487[0:SpR:13147.1,253.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.72/300.49  17676[0:SpR:13680.1,252.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.72/300.49  12617[0:Rew:12519.0,11612.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf64(u))))))* -> .
% 299.72/300.49  52048[2:SpR:13147.1,51878.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  77667[2:SpR:5744.1,77650.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  77670[2:SpR:2170.1,77650.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.72/300.49  77684[2:SSi:77681.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  51844[2:SpL:5744.1,51414.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(u)*.
% 299.72/300.49  51577[0:SSi:51568.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  51578[0:SSi:51569.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  55061[0:SSi:55033.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  79621[2:SSi:79584.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))).
% 299.72/300.49  74550[0:SpL:1878.0,28283.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.72/300.49  72989[2:SpR:5744.1,72795.0] || equal(skf48(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  73001[2:SpR:5744.1,72796.0] || equal(skf57(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  73016[2:SpR:5744.1,72797.0] || equal(skf60(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  73217[2:SpR:5744.1,72798.0] || equal(skf47(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  72698[2:SpR:5744.1,71835.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  77556[0:SpL:18711.1,38559.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> SkP0(v,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))*.
% 299.72/300.49  77634[0:SpL:18711.1,39778.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> SkP0(v,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))*.
% 299.72/300.49  72379[0:SpR:5744.1,71755.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  71673[0:SpL:319.0,24466.0] || hBOOL(u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower_Opower(v,u,w),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  74688[0:SpL:18711.1,28828.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> SkP0(v,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))*.
% 299.72/300.49  67004[0:Rew:274.0,66972.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),hAPP(c_Nat_OSuc,skf64(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  58678[0:SpR:13412.1,58636.0] || equal(u,skf64(v))* -> equal(skf51(c_Int_Onat__aux(w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  58656[0:SpR:3705.1,57266.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> equal(skf51(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  57281[0:SpR:13412.1,57262.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf51(c_Int_Onat__aux(v,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  50202[8:SpL:13412.1,49418.0] || equal(u,skf64(v))* equal(skf50(c_Int_Onat__aux(skf47(c_Int_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  43812[0:SpR:742.0,6937.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_OSuc),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  42084[0:SpL:3705.1,18212.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  38975[10:SSi:38974.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.49  38964[10:SpL:5744.1,38953.0] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(u)*.
% 299.72/300.49  27367[0:SpL:27252.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.49  41622[0:Res:144.0,735.0] ||  -> hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.72/300.49  2334[0:SpL:1986.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)*.
% 299.72/300.49  14128[0:SpL:12132.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)),u)*.
% 299.72/300.49  14168[0:SpL:12331.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)),u)*.
% 299.72/300.49  14235[0:SpL:12488.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)),u)*.
% 299.72/300.49  14333[0:SpL:14019.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)),u)*.
% 299.72/300.49  2406[0:SpL:294.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.72/300.49  2400[0:SpL:1986.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)*.
% 299.72/300.49  14127[0:SpL:12132.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)),u)*.
% 299.72/300.49  14167[0:SpL:12331.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)),u)*.
% 299.72/300.49  14234[0:SpL:12488.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)),u)*.
% 299.72/300.49  14332[0:SpL:14019.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)),u)*.
% 299.72/300.49  24939[0:SpL:13412.1,20796.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(w,c_Int_Onat__aux(x,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  24926[0:SpL:13412.1,20796.0] || equal(u,c_Int_Onat__aux(v,skf64(w)))* equal(c_Int_Onat__aux(x,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  24924[0:SpL:13412.1,6762.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(c_Int_Onat__aux(w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  50205[8:SpL:6450.1,49418.0] || equal(u,skf47(c_Int_Onat)) equal(skf50(c_Int_Onat__aux(u,skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  71585[0:SpL:12545.1,22595.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf50(c_Int_Onat__aux(u,skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  20794[0:SpL:9385.1,18212.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  19750[8:SpL:5744.1,19334.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  19747[8:SpL:5744.1,19333.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  18145[0:SpR:15222.0,6938.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14124[0:SpR:5744.1,12132.0] || equal(skf60(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14164[0:SpR:5744.1,12331.0] || equal(skf57(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14231[0:SpR:5744.1,12488.0] || equal(skf48(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14329[0:SpR:5744.1,14019.0] || equal(skf47(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  13353[0:SpL:12874.1,9645.0] || equal(skf64(u),v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  50178[8:SpL:13412.1,49428.0] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat)))* equal(c_Int_Onat__aux(v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  10055[0:SpL:6450.1,9645.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(c_Int_Onat__aux(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  11547[0:SpL:9368.0,10120.0] || equal(skf50(skf50(skf64(u))),skf64(u))** -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  15973[0:SpR:9368.0,10799.1] ||  -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(skf50(skf64(u))),skf64(u))*.
% 299.72/300.49  14093[0:SpR:12132.0,5744.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14140[0:SpR:12331.0,5744.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14198[0:SpR:12488.0,5744.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  14305[0:SpR:14019.0,5744.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  28290[0:SpL:5744.1,28279.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  19041[0:SpR:18862.1,3736.0] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  5948[0:SpR:5744.1,1986.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  27420[0:Rew:3614.0,27394.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  3257[0:SpR:1878.0,1608.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.72/300.49  2393[0:SpL:307.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)*.
% 299.72/300.49  2327[0:SpL:307.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)*.
% 299.72/300.49  2390[0:SpL:293.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)*.
% 299.72/300.49  2324[0:SpL:293.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)*.
% 299.72/300.49  2192[0:SpL:2117.1,2129.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,u)* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* -> .
% 299.72/300.49  10407[0:SpL:2117.1,10149.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(skf50(v),u)*.
% 299.72/300.49  18404[0:SpL:2117.1,18191.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,u))* -> .
% 299.72/300.49  3226[0:SpR:2117.1,2493.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,u)* -> SkP1(w,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  18447[0:SpR:2117.1,18152.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP1(v,c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  3036[0:SpR:2117.1,2750.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  61285[4:SpR:2117.1,61143.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.49  71753[0:Res:16882.1,24466.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  72534[2:SpR:5744.1,71832.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  18829[0:SpL:18711.1,383.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> SkP0(v,skf47(u))* hBOOL(hAPP(u,w))*.
% 299.72/300.49  45786[0:MRR:45778.0,42009.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.72/300.49  5826[0:SpR:5744.1,1986.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  57538[2:SSi:57533.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  5418[0:Rew:306.1,5408.2] class_Rings_Oring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  11326[0:SpL:9370.1,9621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  12901[0:Rew:12519.0,12524.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),skf48(c_fequal(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  12773[0:Rew:12519.0,12214.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),skf48(c_fequal(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  12780[0:Rew:12519.0,12366.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),skf48(c_fequal(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  14760[0:SpL:9370.1,12416.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  23542[0:SpR:21263.1,21250.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(v,skf50(u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.72/300.49  30036[0:SpL:9370.1,18201.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  24631[0:SpR:9370.1,23842.1] || equal(skf50(u),skf50(v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,u,v)*.
% 299.72/300.49  10109[4:SpR:9370.1,8782.1] || equal(u,skf50(v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,v)*.
% 299.72/300.49  69877[0:SpL:9370.1,20169.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  5855[0:SpR:5744.1,307.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  10081[0:SpR:9370.1,347.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(u))**.
% 299.72/300.49  10082[0:SpR:9370.1,4392.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf50(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.72/300.49  10087[0:SpR:9370.1,2117.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf50(u))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.49  10095[0:SpR:9370.1,6937.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  10096[0:SpR:9370.1,6938.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  10102[0:SpR:9370.1,5744.1] || equal(skf50(u),v)* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,v),u)*.
% 299.72/300.49  10108[0:SpR:9370.1,3634.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(v)),u)))*.
% 299.72/300.49  10779[0:SpL:9370.1,9619.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf50(u)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  12902[0:Rew:12519.0,12540.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),skf48(v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  12799[0:Rew:12519.0,12315.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),skf60(v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  12801[0:Rew:12519.0,12382.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),skf57(v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  28387[0:SpL:9370.1,28333.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf50(u))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  10138[0:SpL:9370.1,333.0] || hBOOL(hAPP(u,v)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(c_Nat_OSuc,skf50(u),v)*.
% 299.72/300.49  23994[0:SpR:9370.1,23963.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),w),u)*.
% 299.72/300.49  10137[0:SpL:9370.1,334.0] || hBOOL(hAPP(u,v)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Nat_OSuc,skf50(u),v)*.
% 299.72/300.49  22337[4:Rew:18346.1,22281.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(c_Int_Onat__aux(v,u)),c_Int_Onat__aux(v,u))*.
% 299.72/300.49  40737[0:SpR:10146.1,2527.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(skf48(c_fequal(u)),w))*.
% 299.72/300.49  40742[4:SpR:10146.1,8780.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(skf48(c_fequal(u)),v))*.
% 299.72/300.49  40748[4:SpR:10146.1,18147.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))*.
% 299.72/300.49  40760[0:SpR:10146.1,2750.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.72/300.49  40814[0:SpL:10146.1,20112.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  41200[0:Res:431.1,733.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(u,v).
% 299.72/300.49  49172[8:SpL:48262.0,3733.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  58753[0:SpR:9370.1,58532.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.49  69230[0:SpL:9370.1,64811.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  55749[0:SpL:5744.1,55412.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf49(c_Int_Onat))** -> .
% 299.72/300.49  8056[0:SpL:5744.1,8053.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf60(c_Int_Onat))** -> .
% 299.72/300.49  8054[3:SpL:5744.1,8052.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf47(c_fNot))** -> .
% 299.72/300.49  8044[0:SpL:5744.1,7999.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))))* -> .
% 299.72/300.49  55752[0:SpL:5744.1,55413.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf49(c_Int_Onat))** -> .
% 299.72/300.49  8143[0:SpL:5744.1,8121.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf60(c_Int_Onat))** -> .
% 299.72/300.49  8122[3:SpL:5744.1,8120.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf47(c_fNot))** -> .
% 299.72/300.49  8112[0:SpL:5744.1,8097.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))))* -> .
% 299.72/300.49  8046[0:SpL:5744.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.49  18984[4:SpR:13680.1,18859.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  8114[0:SpL:5744.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.72/300.49  18987[4:SpR:13680.1,18860.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  69232[0:SpL:15222.0,64811.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.72/300.49  78511[0:SpL:5744.1,78504.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  53454[0:Rew:225.0,53423.0] ||  -> hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(skf48(c_fequal(skf62(u,c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.49  5001[0:Res:269.1,4192.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.49  19725[0:Res:18720.1,4192.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.72/300.49  5006[0:Res:301.0,4192.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Int_Oint),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.49  7377[0:Res:7329.1,4192.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Int_Oint),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.72/300.49  20032[4:SpL:12589.1,19845.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> SkP0(v,u)*.
% 299.72/300.49  9182[4:SpL:2070.1,9123.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> SkP0(u,v)*.
% 299.72/300.49  64754[0:SpR:12874.1,64734.0] || equal(skf64(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.72/300.49  53770[2:SpL:5744.1,53554.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(u)*.
% 299.72/300.49  64759[0:SpR:5744.1,64734.0] || equal(skf48(c_fequal(skf64(u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.72/300.49  12613[0:Rew:12519.0,11887.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> equal(skf48(c_fequal(skf64(u))),u).
% 299.72/300.49  53862[2:SpR:13147.1,53797.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  25446[0:Res:301.0,1641.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.72/300.49  53590[2:SpL:5744.1,52308.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(u)*.
% 299.72/300.49  53624[2:SpR:13147.1,53616.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  26802[0:SpL:26576.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Int_Oint),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)*.
% 299.72/300.49  26803[0:SpL:26576.0,333.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Int_Oint),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)*.
% 299.72/300.49  22532[0:SpL:5744.1,22515.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)* -> .
% 299.72/300.49  15298[2:SpR:5744.1,14878.1] hBOOL(u) || equal(u,v)* -> hBOOL(hAPP(hAPP(c_fconj,v),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.49  47359[0:MRR:47358.2,9245.1] class_Rings_Oring__1(u) || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v) -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  74592[4:SpR:2170.1,74566.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  75363[4:SpR:2170.1,75342.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  78514[0:SpL:12874.1,78504.0] || equal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  6803[0:SpL:5744.1,6792.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf48(c_fNot))** -> .
% 299.72/300.49  16192[0:SpL:5744.1,16178.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u),v)** -> .
% 299.72/300.49  16201[0:SpL:5744.1,16194.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),v)** -> .
% 299.72/300.49  22535[0:SpL:5744.1,22515.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),v)** -> .
% 299.72/300.49  26800[0:SpR:5744.1,26576.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.72/300.49  22739[0:SpR:2170.1,22563.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(c_Int_Onat__aux(u,skf64(w))))*.
% 299.72/300.49  11922[0:SpR:5744.1,11908.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* SkP0(w,v)*.
% 299.72/300.49  18692[0:SpR:5744.1,18628.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* SkP0(w,v)*.
% 299.72/300.49  9126[4:SpR:2170.1,8819.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf47(c_Int_Onat),u) -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.72/300.49  25448[0:SpR:5744.1,25418.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* SkP0(v,w)*.
% 299.72/300.49  25619[0:SpR:5744.1,25611.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* SkP0(v,w)*.
% 299.72/300.49  19842[4:SpR:2170.1,18875.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf47(c_Int_Onat),u) -> SkP0(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  2999[0:SpR:2170.1,2524.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,v)))*.
% 299.72/300.49  51838[0:SpL:5744.1,51596.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf46(c_Int_Onat))** -> .
% 299.72/300.49  11149[0:SSi:11127.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v) equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),u)*.
% 299.72/300.49  11521[0:SSi:11502.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(u,v).
% 299.72/300.49  12705[0:Rew:12519.0,12243.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),u)* -> .
% 299.72/300.49  14818[0:SpR:12545.1,3623.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),c_Int_Onat__aux(u,v)))*.
% 299.72/300.49  14823[0:SpR:12545.1,3622.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(c_Nat_OSuc,skf64(u)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.72/300.49  14844[0:SpL:12545.1,3635.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),skf64(u))** -> .
% 299.72/300.49  14867[0:Rew:5260.1,14828.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,skf64(u)))*.
% 299.72/300.49  22776[0:SpR:12545.1,22567.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,skf64(u),skf50(c_Int_Onat__aux(u,skf64(w))))*.
% 299.72/300.49  9259[4:SpL:8904.1,9123.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Int_Onat)) -> SkP0(skf64(u),v)*.
% 299.72/300.49  16805[0:SpL:9234.1,16589.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(u,v)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.49  20040[4:SpL:12545.1,19845.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Int_Onat)) -> SkP0(v,skf64(u))*.
% 299.72/300.49  5009[0:Res:300.1,4192.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.49  69887[0:SpL:12545.1,20169.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  14879[2:SpR:12545.1,12776.1] hBOOL(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_fconj,u),v))*.
% 299.72/300.49  25398[0:Res:587.1,25381.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.72/300.49  25411[0:Res:587.1,25382.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.72/300.49  16189[0:SpL:5744.1,16178.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)* -> .
% 299.72/300.49  16203[0:SpL:5744.1,16194.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v),u)* -> .
% 299.72/300.49  12685[0:Rew:12519.0,12352.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))),skf57(v)))*.
% 299.72/300.49  17149[0:Res:269.1,12380.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf57(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf57(v)))))*.
% 299.72/300.49  19726[0:Res:18720.1,12380.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf57(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf57(v)))))*.
% 299.72/300.49  17156[0:Res:301.0,12380.0] ||  -> SkP1(u,skf57(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w))))*.
% 299.72/300.49  17162[0:Res:7329.1,12380.0] ||  -> SkP1(u,skf57(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w))))*.
% 299.72/300.49  15362[2:SpR:5744.1,14875.1] hBOOL(u) || equal(skf57(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),w))*.
% 299.72/300.49  17215[2:SpR:12435.1,15103.1] hBOOL(u) || equal(skf57(v),w)* -> SkP1(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  17214[2:SpR:12435.1,14929.1] hBOOL(u) || equal(skf57(v),w)* -> SkP2(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  12350[0:SpR:12099.0,392.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,skf57(v))),c_Int_Oring__1__class_Oof__int(u,skf57(v)))**.
% 299.72/300.49  17160[0:Res:300.1,12380.0] || equal(u,skf57(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.49  80369[0:Res:6866.1,53229.1] || equal(skf48(c_fequal(skf57(u))),skf48(c_Int_Onat))** equal(skf57(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  73441[0:Res:55641.1,27439.1] || equal(skf57(u),skf49(c_Int_Onat)) equal(skf48(c_fequal(skf57(u))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  80367[8:Res:19779.1,53229.1] || equal(hAPP(c_Nat_OSuc,skf57(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(skf57(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  17203[0:SpR:12435.1,12330.0] || equal(skf57(u),v)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  17204[0:SpR:12435.1,12341.0] || equal(skf57(u),v)* -> equal(skf60(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  27769[0:SpL:12552.0,7189.1] || equal(hAPP(c_Int_Onat,skf57(u)),skf48(c_fNot))** equal(skf57(u),skf48(c_Int_Onat)) -> .
% 299.72/300.49  26082[0:Rew:1878.0,26054.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  29801[0:SpL:12664.0,12854.1] || equal(hAPP(c_Int_Onat,skf47(u)),skf57(c_Int_Onat))** equal(skf47(u),skf48(c_Int_Onat)) -> .
% 299.72/300.49  29800[0:SpL:12553.0,12854.1] || equal(hAPP(c_Int_Onat,skf60(u)),skf57(c_Int_Onat))** equal(skf60(u),skf48(c_Int_Onat)) -> .
% 299.72/300.49  29799[0:SpL:12552.0,12854.1] || equal(hAPP(c_Int_Onat,skf57(u)),skf57(c_Int_Onat))** equal(skf57(u),skf48(c_Int_Onat)) -> .
% 299.72/300.49  29798[0:SpL:12551.0,12854.1] || equal(hAPP(c_Int_Onat,skf48(u)),skf57(c_Int_Onat))** equal(skf48(u),skf48(c_Int_Onat)) -> .
% 299.72/300.49  17598[0:SpL:13147.1,7228.0] || equal(skf48(c_fequal(skf57(c_Int_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Int_Onat))** -> .
% 299.72/300.49  15360[2:SpR:5744.1,14875.1] hBOOL(u) || equal(u,v)* -> hBOOL(hAPP(hAPP(c_fconj,v),skf57(w)))*.
% 299.72/300.49  12906[0:Rew:12519.0,12623.1] || equal(skf48(c_fequal(skf57(c_fNot))),skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,skf48(c_fequal(u))))*.
% 299.72/300.49  79841[2:Res:79635.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  79823[2:Res:79634.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  77265[8:SpL:49081.0,38551.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))),skf47(c_Int_Onat)))* -> .
% 299.72/300.49  74817[8:SpL:48262.0,28829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))),skf47(c_Int_Onat)))* -> .
% 299.72/300.49  73444[0:Res:55642.1,27439.1] || equal(skf60(u),skf49(c_Int_Onat)) equal(skf48(c_fequal(skf60(u))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  73443[0:Res:5840.1,27439.1] || equal(u,skf48(c_Int_Onat)) equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  68591[8:SpL:15222.0,49181.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.49  73468[0:SpL:13147.1,73438.0] || equal(skf48(c_fequal(skf60(c_Int_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.72/300.49  73541[0:SpL:13147.1,73440.0] || equal(skf48(c_fequal(skf49(c_Int_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.72/300.49  73551[13:SpL:13147.1,73453.0] || equal(skf48(c_fequal(skf47(c_Int_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.72/300.49  49118[8:SpR:48262.0,12570.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Oring__1__class_Oof__int(u,skf47(c_Int_Onat)))**.
% 299.72/300.49  49087[8:SpR:48262.0,3634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Nat_OSuc,u))))*.
% 299.72/300.49  66423[8:SpL:49088.0,56386.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.72/300.49  66394[8:SpR:49088.0,62985.0] ||  -> SkP1(u,skf62(c_Int_Onat,skf47(c_Int_Onat)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  66391[8:SpR:49088.0,56264.0] ||  -> SkP1(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat)))))*.
% 299.72/300.49  66343[8:SpR:49088.0,15420.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  68488[8:SpR:18347.0,49083.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),skf50(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u)))))*.
% 299.72/300.49  49084[8:SpR:48262.0,3732.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),u)),skf62(c_Int_Onat,skf47(c_Int_Onat))),u)**.
% 299.72/300.49  20031[4:SpL:12874.1,19845.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> SkP0(w,u)*.
% 299.72/300.49  12767[4:Rew:12519.0,9183.1] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> SkP0(u,w)*.
% 299.72/300.49  66542[13:SpR:13412.1,66486.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  66533[13:SpR:13412.1,66485.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  7211[0:SpL:5744.1,7201.0] || equal(skf47(c_Int_Onat),u) equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf48(c_Int_Onat))** -> .
% 299.72/300.49  9119[4:SpR:5744.1,8819.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* -> SkP0(hAPP(c_Int_Onat,v),w)*.
% 299.72/300.49  19836[4:SpR:5744.1,18875.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* -> SkP0(w,hAPP(c_Int_Onat,v))*.
% 299.72/300.49  50227[8:SpR:6450.1,49116.0] || equal(u,skf47(c_Int_Onat)) -> SkP1(v,skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(u,w))*.
% 299.72/300.49  66538[13:SpR:6450.1,66485.0] || equal(u,skf47(c_Int_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  66547[13:SpR:6450.1,66486.0] || equal(u,skf47(c_Int_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  80522[0:Res:6866.1,53231.1] || equal(skf48(c_fequal(skf47(u))),skf48(c_Int_Onat))** equal(skf47(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  80520[8:Res:19779.1,53231.1] || equal(hAPP(c_Nat_OSuc,skf47(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(skf47(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  26084[0:Rew:1878.0,26056.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  17682[0:SpR:13680.1,13535.0] || equal(skf47(u),v)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  17683[0:SpR:13680.1,13536.0] || equal(skf47(u),v)* -> equal(skf60(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  21076[0:Res:18720.1,16218.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf47(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf47(v)))))*.
% 299.72/300.49  21077[0:Res:269.1,16218.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf47(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf47(v)))))*.
% 299.72/300.49  21088[0:Res:301.0,16218.0] ||  -> SkP1(u,skf47(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w))))*.
% 299.72/300.49  21095[0:Res:7329.1,16218.0] ||  -> SkP1(u,skf47(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w))))*.
% 299.72/300.49  15390[2:SpR:5744.1,14877.1] hBOOL(u) || equal(skf47(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),w))*.
% 299.72/300.49  17693[2:SpR:13680.1,15105.1] hBOOL(u) || equal(skf47(v),w)* -> SkP1(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  17692[2:SpR:13680.1,14931.1] hBOOL(u) || equal(skf47(v),w)* -> SkP2(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  13706[0:SpR:12664.0,12570.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,skf47(v))),c_Int_Oring__1__class_Oof__int(u,skf47(v)))**.
% 299.72/300.49  21093[0:Res:300.1,16218.0] || equal(u,skf47(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.49  73463[3:SpL:13147.1,73428.0] || equal(skf48(c_fequal(skf47(c_fNot))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.72/300.49  15388[2:SpR:5744.1,14877.1] hBOOL(u) || equal(u,v)* -> hBOOL(hAPP(hAPP(c_fconj,v),skf47(w)))*.
% 299.72/300.49  80205[8:Res:19779.1,53228.1] || equal(hAPP(c_Nat_OSuc,skf48(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(skf48(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  80207[0:Res:6866.1,53228.1] || equal(skf48(c_fequal(skf48(u))),skf48(c_Int_Onat))** equal(skf48(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  53224[0:SpL:12874.1,51588.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf46(c_Int_Onat))** hBOOL(u)* -> .
% 299.72/300.49  80493[8:Res:19779.1,53230.1] || equal(hAPP(c_Nat_OSuc,skf60(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(skf60(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  80495[0:Res:6866.1,53230.1] || equal(skf48(c_fequal(skf60(u))),skf48(c_Int_Onat))** equal(skf60(u),skf46(c_Int_Onat)) -> .
% 299.72/300.49  51791[0:SpL:5744.1,51595.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf46(c_Int_Onat))** -> .
% 299.72/300.49  51621[8:MRR:51611.0,19248.0] || equal(hAPP(c_Int_Onat,u),skf46(c_Int_Onat)) -> equal(skf48(c_fequal(skf62(c_Int_Onat,u))),u)**.
% 299.72/300.49  51270[0:SpL:13147.1,51121.0] || equal(skf48(c_fequal(skf46(c_Int_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Int_Onat))** -> .
% 299.72/300.49  51579[0:SpL:5744.1,51113.1] || equal(u,v)* equal(skf46(c_Int_Onat),u)* hBOOL(hAPP(c_Int_Onat,v))* -> .
% 299.72/300.49  47603[8:MRR:47495.2,19248.0] || equal(hAPP(c_Int_Onat,u),skf48(c_fNot))** hBOOL(hAPP(c_Int_Onat,skf62(c_Int_Onat,v)))* -> .
% 299.72/300.49  48266[8:MRR:48088.1,19248.0] || equal(hAPP(c_Int_Onat,u),skf48(c_fNot)) -> equal(skf48(c_fequal(skf62(c_Int_Onat,u))),u)**.
% 299.72/300.49  72782[0:SSi:72750.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),v)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.49  72200[0:SpR:10150.1,71738.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u))),skf50(u))**.
% 299.72/300.49  72023[0:SpR:10150.1,71737.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf50(u))),skf50(u))**.
% 299.72/300.49  57939[0:SpR:10150.1,57932.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(u))),skf50(u))**.
% 299.72/300.49  10271[0:SpL:10150.1,1936.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(u)))* -> .
% 299.72/300.49  10213[0:SpR:10150.1,2423.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),skf50(u),v)*.
% 299.72/300.49  10215[0:SpR:10150.1,2430.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.49  10214[0:SpR:10150.1,2429.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.49  10211[0:SpR:10150.1,2363.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.49  10212[0:SpR:10150.1,2364.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v,skf50(u))*.
% 299.72/300.49  11442[0:SpL:9385.1,11348.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u)),skf50(u))** -> .
% 299.72/300.49  11222[0:SpL:9385.1,10149.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(v,u) -> equal(skf50(v),skf50(u))*.
% 299.72/300.49  10291[0:SSi:10238.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Polynomial_Omonom(tc_Nat_Onat,skf50(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))**.
% 299.72/300.49  11217[0:SpL:9385.1,2129.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(v,skf50(u))* equal(u,v) -> .
% 299.72/300.49  11185[0:SpR:9385.1,2493.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(v,skf50(u)) -> SkP1(w,v,u)*.
% 299.72/300.49  10276[0:SpL:10150.1,10007.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),skf50(u)))* -> .
% 299.72/300.49  10200[0:SpR:10150.1,274.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Nat_Onat_Onat__case(v,w,x),skf50(u)),w)**.
% 299.72/300.49  10198[0:SpR:10150.1,284.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf50(u)),v)**.
% 299.72/300.49  19782[8:SpR:5744.1,19252.1] || equal(skf50(u),v)* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  77803[16:SSi:77794.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf50(u),v)* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  10199[0:SpR:10150.1,1878.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(u)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.72/300.49  53988[0:SpL:20457.1,51176.0] class_Rings_Oring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.72/300.49  5514[0:SpR:5412.1,390.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  51830[0:MRR:51807.2,150.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  52041[0:MRR:52015.2,246.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.49  53855[0:MRR:53818.2,254.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.49  23325[0:SpR:9385.1,19615.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP0(v,skf48(c_fequal(c_Int_Onat__aux(w,c_Int_Onat__aux(x,u)))))*.
% 299.72/300.49  28281[0:Rew:1878.0,28257.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> SkP0(v,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))*.
% 299.72/300.49  20043[4:SpR:12874.1,19042.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,x)*.
% 299.72/300.49  21800[0:SpR:12874.1,21246.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* equal(skf45(u,x),x)**.
% 299.72/300.49  22253[0:SpR:12874.1,21770.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* equal(skf44(u,x),x)**.
% 299.72/300.49  63689[4:SoR:10682.1,61595.2] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),v)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.49  63748[4:SpR:12874.1,63691.1] || equal(u,v)* equal(skf49(c_fNot),u)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.72/300.49  24752[0:SpR:13412.1,19611.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,u))))*.
% 299.72/300.49  24784[0:SpR:13412.1,23327.0] || equal(u,skf64(v))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,c_Int_Onat__aux(y,u)))))*.
% 299.72/300.49  46033[0:SpR:3705.1,19615.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,v))))*.
% 299.72/300.49  19952[0:SpR:12874.1,19655.0] || equal(skf64(u),v)* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),x))))*.
% 299.72/300.49  19963[0:SpR:6450.1,19655.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(u,x))))*.
% 299.72/300.49  19928[0:SpR:12874.1,19611.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w)* -> SkP0(x,skf48(c_fequal(w)))*.
% 299.72/300.49  19972[0:SpR:12874.1,19655.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),w)* -> SkP0(x,skf48(c_fequal(w)))*.
% 299.72/300.49  24756[0:SpR:13412.1,23327.0] || equal(u,c_Int_Onat__aux(v,skf64(w)))* -> SkP0(x,skf48(c_fequal(c_Int_Onat__aux(y,u))))*.
% 299.72/300.49  23429[0:SpR:12874.1,23327.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,skf64(w))),x)* -> SkP0(y,skf48(c_fequal(x)))*.
% 299.72/300.49  9694[0:SpL:443.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.72/300.49  9800[0:SpL:444.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.72/300.49  9695[0:SpL:443.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.72/300.49  9801[0:SpL:444.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.72/300.49  5797[0:SpR:5744.1,290.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),v))*.
% 299.72/300.49  16062[0:SpR:364.1,510.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.49  16065[0:SpR:402.1,510.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  54141[0:Res:309.1,51176.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf49(hAPP(c_Rings_Odvd__class_Odvd(u),v))))*.
% 299.72/300.49  42335[0:SpR:687.1,402.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  71133[0:Rew:402.1,71037.2] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  16063[0:SpR:361.1,510.1] class_Groups_Omonoid__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.49  16862[0:SpR:359.1,507.1] class_Groups_Omonoid__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u)),v))*.
% 299.72/300.49  16064[0:SpR:362.1,510.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.72/300.49  16863[0:SpR:360.1,507.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u)),v))*.
% 299.72/300.49  43015[4:Res:41857.1,529.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(hAPP(c_Nat_OSuc,u),v)),u))*.
% 299.72/300.49  62455[4:MRR:62427.0,61073.1] || hBOOL(hAPP(c_Nat_OSuc,skf44(u,v))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),u)*.
% 299.72/300.49  62454[0:MRR:62428.0,14921.1] || hBOOL(hAPP(c_Nat_OSuc,skf44(u,v))) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),u)*.
% 299.72/300.49  61076[4:Res:42157.0,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),v)*.
% 299.72/300.49  61281[4:SpR:2135.1,61143.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.49  74665[0:SSi:74642.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)).
% 299.72/300.49  74897[0:Rew:1878.0,74858.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> SkP0(v,u)*.
% 299.72/300.49  77302[0:Rew:1878.0,77258.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> SkP0(v,u)*.
% 299.72/300.49  74898[0:Rew:1878.0,74862.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> SkP0(u,v)*.
% 299.72/300.49  77303[0:Rew:1878.0,77262.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> SkP0(u,v)*.
% 299.72/300.49  72707[0:SpR:5744.1,72119.0] || equal(u,v) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)),w)*.
% 299.72/300.49  45740[0:Res:18627.0,820.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.72/300.49  74666[0:SSi:74643.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.72/300.49  19851[6:SpL:5744.1,19585.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP0(u,w)*.
% 299.72/300.49  19225[0:SpR:13147.1,19172.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  56588[0:SpR:13147.1,56572.0] || equal(skf48(c_fequal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  19877[7:SpL:5744.1,19598.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP0(w,u)*.
% 299.72/300.49  19670[0:SpR:13147.1,19614.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,skf64(v)))),w)* -> SkP0(x,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  29204[0:SoR:3610.0,12641.2] || equal(u,skf48(c_fequal(skf48(c_fNot)))) hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)))* -> .
% 299.72/300.49  27770[0:SpL:12553.0,7189.1] || equal(hAPP(c_Int_Onat,skf60(u)),skf48(c_fNot))** equal(skf60(u),skf48(c_Int_Onat)) -> .
% 299.72/300.49  43010[4:SpR:5744.1,41857.1] || equal(u,v) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),v))*.
% 299.72/300.49  43037[4:SpR:5744.1,43025.1] || equal(u,v) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(u,w)),v))*.
% 299.72/300.49  15378[2:SpR:5744.1,14876.1] hBOOL(u) || equal(u,v)* -> hBOOL(hAPP(hAPP(c_fconj,v),skf60(w)))*.
% 299.72/300.49  15346[2:SpR:5744.1,14874.1] hBOOL(u) || equal(u,v)* -> hBOOL(hAPP(hAPP(c_fconj,v),skf48(w)))*.
% 299.72/300.49  12758[0:Rew:12519.0,6962.2] hBOOL(u) || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fNot))** -> .
% 299.72/300.49  29300[0:Res:211.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,u))* hBOOL(hAPP(c_fNot,v))*.
% 299.72/300.49  52310[4:MRR:52274.0,8759.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,u))* hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  15348[2:SpR:5744.1,14874.1] hBOOL(u) || equal(skf48(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),w))*.
% 299.72/300.49  15380[2:SpR:5744.1,14876.1] hBOOL(u) || equal(skf60(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),w))*.
% 299.72/300.49  3599[0:Con:3545.1] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(c_Int_Onat,skf48(hAPP(c_fconj,u)))))*.
% 299.72/300.49  12041[4:SpR:10413.1,10224.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(skf50(u))*.
% 299.72/300.49  20930[0:Res:579.1,9528.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(skf64(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.49  61299[4:Rew:10199.1,61290.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  55175[0:Res:54123.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.72/300.49  27838[0:Rew:1878.0,27786.1,2545.0,27786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.72/300.49  30181[0:SpR:18347.0,18644.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v)))))*.
% 299.72/300.49  24721[0:SpR:13412.1,18525.0] || equal(u,skf64(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(w,u)))*.
% 299.72/300.49  18658[0:SpR:5744.1,18525.0] || equal(c_Int_Onat__aux(u,skf64(v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.72/300.49  76102[0:SpR:3709.1,18644.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.72/300.49  26081[0:Rew:1878.0,26053.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  26083[0:Rew:1878.0,26055.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.72/300.49  26086[0:Rew:1878.0,26063.0,224.0,26063.0] ||  -> equal(skf48(c_fequal(skf64(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.72/300.49  9379[0:Res:5017.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.72/300.49  5416[0:Rew:305.1,5406.2] class_Rings_Oring__1(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  18159[0:SpR:15222.0,3634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.49  64663[0:Res:64590.0,12546.0] ||  -> equal(skf48(c_fequal(skf64(skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))**.
% 299.72/300.49  20955[0:Rew:276.0,20926.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.72/300.49  2865[0:SpL:2135.1,2478.0] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.49  30038[0:SpL:15222.0,18201.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.72/300.49  46544[0:SpL:3703.0,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),u))* -> .
% 299.72/300.49  2828[0:Rew:2544.0,2814.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))* -> .
% 299.72/300.49  11192[0:SpR:9385.1,2779.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> SkP1(w,v,u)*.
% 299.72/300.49  9808[0:SpR:2135.1,9493.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.72/300.49  24921[0:SpL:13412.1,20112.0] || equal(u,hAPP(c_Nat_OSuc,skf64(v)))* equal(c_Int_Onat__aux(w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  20149[0:SpL:5744.1,20112.0] || equal(skf64(u),v)* equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.72/300.49  23680[0:Rew:2544.0,23637.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,skf64(w)))*.
% 299.72/300.49  2859[0:Rew:2544.0,2845.1] || equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(u,v))*.
% 299.72/300.49  24742[0:SpR:13412.1,23670.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(v,c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,skf64(x)))*.
% 299.72/300.49  22356[0:SpR:9385.1,18166.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(w,c_Int_Onat__aux(x,u)))*.
% 299.72/300.49  3715[0:Rew:3621.0,2982.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),hAPP(c_Nat_OSuc,v))**.
% 299.72/300.49  6814[0:SpL:5744.1,6793.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf48(c_fNot))** -> .
% 299.72/300.49  5515[0:SpR:303.1,390.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  42456[0:Rew:302.1,42455.1,219.0,42455.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  55598[0:SpR:2872.0,55204.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  24440[0:SpR:2872.0,24313.0] ||  -> SkP1(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.72/300.49  28252[0:SpL:276.0,9639.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),hAPP(c_Nat_OSuc,u)))* -> .
% 299.72/300.49  28330[0:Res:520.1,9640.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))),u))* -> .
% 299.72/300.49  3277[0:SpR:2526.0,2370.1] || hBOOL(hAPP(c_Int_Onat,u)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  23703[0:SpR:6450.1,23670.0] || equal(u,v) -> SkP1(w,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,skf64(x)))*.
% 299.72/300.49  24749[0:SpR:13412.1,23670.0] || equal(u,skf64(v))* -> SkP1(w,c_Int_Onat__aux(x,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(x,u))*.
% 299.72/300.49  54982[0:MRR:54981.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),u))*.
% 299.72/300.49  12900[0:Rew:12519.0,12509.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))),skf48(v)))*.
% 299.72/300.49  12684[0:Rew:12519.0,12153.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))),skf60(v)))*.
% 299.72/300.49  12904[0:Rew:12519.0,12616.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf64(u))))),skf48(c_fequal(v))))*.
% 299.72/300.49  18372[0:Rew:18347.0,11701.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),skf64(u)))))*.
% 299.72/300.49  12151[0:SpR:12098.0,392.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,skf60(v))),c_Int_Oring__1__class_Oof__int(u,skf60(v)))**.
% 299.72/300.49  12507[0:SpR:12100.0,392.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,skf48(v))),c_Int_Oring__1__class_Oof__int(u,skf48(v)))**.
% 299.72/300.49  6704[0:SpR:5744.1,5747.1] || equal(u,v)* equal(u,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.72/300.49  25065[0:SpR:13412.1,24692.1] || equal(u,v)* equal(v,w)* -> SkP1(x,w,c_Int_Onat__aux(y,u))*.
% 299.72/300.49  5935[0:SpR:5744.1,300.1] || equal(u,v)* equal(w,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.72/300.49  63821[2:SpR:63770.1,6450.1] || equal(u,skf49(c_fNot))* equal(v,u)* -> equal(c_Int_Onat__aux(v,w),w)**.
% 299.72/300.49  2143[0:SpL:316.1,2129.1] || equal(u,v)* equal(w,u)* equal(hAPP(c_Nat_OSuc,v),w)* -> .
% 299.72/300.49  3227[0:SpR:316.1,2493.1] || equal(u,v)* equal(w,u)* -> SkP1(x,w,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  11088[0:SpL:5744.1,10790.0] || equal(u,v) equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),u)* -> .
% 299.72/300.49  62770[0:SpL:9487.0,55273.1] || equal(u,skf50(skf64(v))) equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))),u)* -> .
% 299.72/300.49  11438[0:SpL:5744.1,11348.0] || equal(u,v) equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),u)* -> .
% 299.72/300.49  3712[0:Rew:3621.0,3112.1] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)),u)* -> .
% 299.72/300.49  18209[0:SpL:15222.0,2129.1] || equal(u,c_Int_Onat__aux(v,w)) equal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),u)* -> .
% 299.72/300.49  56499[0:SpL:5744.1,55301.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> .
% 299.72/300.49  56162[0:SpL:5744.1,55085.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v))* -> .
% 299.72/300.49  38591[0:SpL:5744.1,38533.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v))* -> .
% 299.72/300.49  38580[0:SpL:5744.1,38532.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> .
% 299.72/300.49  61658[0:SpR:5744.1,61619.0] || equal(skf64(u),v)* -> SkP1(w,x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))*.
% 299.72/300.49  61818[0:SpR:5744.1,61666.0] || equal(u,v) -> SkP1(w,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(x)),v))*.
% 299.72/300.49  46725[0:SpL:3704.0,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),v))* -> .
% 299.72/300.49  24278[0:Res:575.0,21175.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)))*.
% 299.72/300.49  46483[0:SpR:3703.0,11419.0] ||  -> SkP1(u,skf50(skf64(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.49  46557[0:SpL:3703.0,9714.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)),skf50(skf64(u)))** -> .
% 299.72/300.49  46484[4:SpR:3703.0,18292.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  61816[0:SpR:5744.1,61666.0] || equal(skf64(u),v)* -> SkP1(w,x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))*.
% 299.72/300.49  46738[0:SpL:3704.0,9714.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)),skf50(skf64(v)))** -> .
% 299.72/300.49  46664[4:SpR:3704.0,18292.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)))*.
% 299.72/300.49  46663[0:SpR:3704.0,11419.0] ||  -> SkP1(u,skf50(skf64(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),skf64(v)))*.
% 299.72/300.49  61654[0:SpR:5744.1,61619.0] || equal(u,v) -> SkP1(w,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(x)))*.
% 299.72/300.49  27903[0:SpR:5744.1,27876.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),v) -> SkP1(w,u,hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  27900[0:SpR:5744.1,27876.0] || equal(hAPP(c_Nat_OSuc,u),v) -> SkP1(w,u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  27891[0:SpR:5744.1,27876.0] || equal(u,v) -> SkP1(w,u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  23685[0:SpR:5744.1,23668.0] || equal(skf64(u),v)* -> SkP1(w,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  26165[0:Res:301.0,650.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.72/300.49  24629[0:SpR:2526.0,23842.1] || equal(skf50(u),hAPP(c_Int_Onat,v)) -> SkP1(w,u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  23992[0:SpR:2526.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,v)),w),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  15475[4:SpR:5744.1,15468.0] || equal(skf64(u),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  15480[4:SpR:10413.1,15468.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),hAPP(c_Nat_OSuc,skf64(v)))*.
% 299.72/300.49  18508[0:Rew:3753.0,18459.0] ||  -> SkP1(u,c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  27906[0:Rew:15222.0,27898.0,15222.0,27898.0] ||  -> SkP1(u,c_Int_Onat__aux(v,w),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.49  18154[0:SpR:15222.0,2493.1] || equal(u,c_Int_Onat__aux(v,w)) -> SkP1(x,u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.72/300.49  18448[0:SpR:5744.1,18152.0] || equal(u,v) -> SkP1(w,c_Int_Onat__aux(x,u),c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  18467[0:SpR:6450.1,18152.0] || equal(u,v) -> SkP1(w,c_Int_Onat__aux(v,x),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,x)))*.
% 299.72/300.49  42103[0:MRR:42022.0,27830.1] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf52(w,v)))))*.
% 299.72/300.49  38681[0:SSi:38650.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> .
% 299.72/300.49  9502[0:SpR:9368.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),v)),skf64(u)))*.
% 299.72/300.49  7340[0:SpR:5744.1,7318.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  10408[0:SpL:5744.1,10149.0] || equal(u,v)* equal(w,hAPP(c_Nat_OSuc,v))* -> equal(skf50(w),u)*.
% 299.72/300.49  15498[4:SpR:3753.0,15440.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf64(u))))*.
% 299.72/300.49  21663[4:SpR:3690.1,8769.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf44(u,v),v)*.
% 299.72/300.49  21719[0:Rew:21163.1,21666.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(skf45(u,v),skf44(u,v)).
% 299.72/300.49  12076[0:SpL:10413.1,9527.0] || equal(u,skf64(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v)),skf50(u)))* -> .
% 299.72/300.49  45418[0:SpR:3705.1,11419.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v))* -> SkP1(w,skf50(skf64(u)),v)*.
% 299.72/300.49  10044[0:SpL:5744.1,9527.0] || equal(skf50(skf64(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v))* -> .
% 299.72/300.49  12077[0:SpL:10413.1,10006.0] || equal(u,skf64(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),skf50(u)))* -> .
% 299.72/300.49  21183[0:SpR:3689.1,11419.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> SkP1(w,skf50(skf64(u)),v)*.
% 299.72/300.49  10009[0:SpL:9487.0,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* equal(v,skf50(skf64(u))) -> .
% 299.72/300.49  20942[0:Res:579.1,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),v))* -> equal(c_Int_Onat__aux(u,v),v).
% 299.72/300.49  21185[4:SpR:3689.1,18292.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),v).
% 299.72/300.49  26770[0:Res:5747.1,12937.0] || equal(skf48(c_fequal(u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.72/300.49  41862[0:MRR:41789.1,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.72/300.49  56132[0:SSi:56125.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  62905[4:Res:61109.1,50956.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf46(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.72/300.49  29295[0:Res:149.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.72/300.49  7367[0:SpR:5744.1,7329.1] || equal(u,v)* -> SkP1(w,u,x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))*.
% 299.72/300.49  27993[0:Res:7329.1,3739.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v)).
% 299.72/300.49  28151[0:Res:7329.1,3740.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.72/300.49  56133[0:SSi:56128.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.72/300.49  61059[4:SpR:9487.0,42157.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(skf64(u)))*.
% 299.72/300.49  42995[0:SpR:5744.1,42911.0] || equal(skf64(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(skf64(u),w)),v))*.
% 299.72/300.49  59300[0:SpR:5744.1,59153.0] || equal(skf64(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf51(skf64(u),w)),v))*.
% 299.72/300.49  5926[0:SpR:5744.1,2524.0] || equal(u,c_Int_Onat__aux(v,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))*.
% 299.72/300.49  28331[0:Res:533.1,9640.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))),u))* -> .
% 299.72/300.49  56562[0:SpL:2135.1,55613.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),u))* -> .
% 299.72/300.49  56569[0:Res:3721.1,55613.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u))* -> .
% 299.72/300.49  14923[0:MRR:14901.1,2829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(v)))*.
% 299.72/300.49  7360[0:SpR:5744.1,7319.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.72/300.49  7337[0:SpR:5744.1,7318.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  3290[0:SpR:276.0,375.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.49  7332[0:SpR:5744.1,7318.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  10000[0:SpR:9487.0,7330.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))))))*.
% 299.72/300.49  14758[0:SpL:2526.0,12416.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Int_Onat,v)))* -> .
% 299.72/300.49  18235[0:Rew:15222.0,18131.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.72/300.49  3719[0:Rew:3621.0,2790.1] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.72/300.49  14980[0:SpR:3753.0,7319.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.49  5833[0:SpR:5744.1,2524.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,w)))*.
% 299.72/300.49  7487[0:SpR:6450.1,3623.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w)))*.
% 299.72/300.49  27999[0:Rew:15222.0,27978.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,u)))))*.
% 299.72/300.49  7344[0:SpR:5744.1,7319.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  18135[0:SpR:15222.0,7319.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(w,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))))*.
% 299.72/300.49  24733[0:SpR:13412.1,7319.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(w,u)))*.
% 299.72/300.49  16315[0:Res:7329.1,12183.0] ||  -> SkP1(u,skf60(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w))))*.
% 299.72/300.49  17376[0:Res:7329.1,12538.0] ||  -> SkP1(u,skf48(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w))))*.
% 299.72/300.49  16313[0:Res:300.1,12183.0] || equal(u,skf60(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.49  17374[0:Res:300.1,12538.0] || equal(u,skf48(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.72/300.49  58751[0:SpR:2526.0,58532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.72/300.49  42031[4:SpR:3705.1,15420.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf52(u,v),v)*.
% 299.72/300.49  45813[0:SpR:3705.1,18166.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,v))*.
% 299.72/300.49  61132[4:Res:42157.0,50956.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.72/300.49  5900[0:SpR:5744.1,2032.0] || equal(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.72/300.49  19818[0:Res:520.1,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.49  56235[0:SpL:2135.1,55181.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.49  56377[0:SpL:2135.1,55215.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.72/300.49  5984[0:SpR:5744.1,2750.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))*.
% 299.72/300.49  5802[0:SpR:5744.1,301.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* SkP1(x,v,w)*.
% 299.72/300.49  43008[4:SpR:2135.1,41857.1] || equal(skf55(u,v),w)* -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))*.
% 299.72/300.49  56239[0:Res:3722.1,55181.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u))* -> .
% 299.72/300.49  56373[0:SpL:2135.1,55215.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),u))* -> .
% 299.72/300.49  56381[0:Res:3722.1,55215.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u))* -> .
% 299.72/300.49  42900[0:SpR:2135.1,41849.0] || equal(skf55(skf64(u),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf64(u)))*.
% 299.72/300.49  59142[0:SpR:2135.1,59127.0] || equal(skf51(skf64(u),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf64(u)))*.
% 299.72/300.49  10042[0:SpL:2135.1,9527.0] || equal(skf64(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf50(skf64(u))))* -> .
% 299.72/300.49  9810[0:SpR:5744.1,9493.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.72/300.49  27830[0:Res:301.0,3730.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.72/300.49  56221[0:SSi:56216.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.72/300.49  42902[0:SpR:5744.1,41849.0] || equal(skf64(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf64(u),w)),v))*.
% 299.72/300.49  56237[0:SpL:5744.1,55181.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v))* -> .
% 299.72/300.49  59144[0:SpR:5744.1,59127.0] || equal(skf64(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf64(u),w)),v))*.
% 299.72/300.49  2281[0:SpR:2135.1,301.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* SkP1(x,w,v)*.
% 299.72/300.49  2118[0:SpR:316.1,2032.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  11324[0:SpL:2526.0,9621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Int_Onat,v)))* -> .
% 299.72/300.49  9806[0:SpR:5744.1,9493.0] || equal(skf64(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  2114[0:SpR:316.1,2032.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  27879[0:Res:7339.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))))*.
% 299.72/300.49  3037[0:SpR:316.1,2750.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  41872[0:MRR:41769.0,1936.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(u,skf64(v)),w)),c_Int_Onat__aux(u,skf64(v))))*.
% 299.72/300.49  18234[0:Rew:15222.0,18129.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.72/300.49  41879[0:MRR:41663.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  27834[0:Rew:15222.0,27814.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)))))*.
% 299.72/300.49  41900[4:MRR:41899.0,8759.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(v,u),w)),c_Int_Onat__aux(v,u)))*.
% 299.72/300.49  18134[0:SpR:15222.0,2750.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(w,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))))*.
% 299.72/300.49  24732[0:SpR:13412.1,2750.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(w,u)))*.
% 299.72/300.49  16310[0:Res:301.0,12183.0] ||  -> SkP1(u,skf60(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w))))*.
% 299.72/300.49  17370[0:Res:301.0,12538.0] ||  -> SkP1(u,skf48(v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w))))*.
% 299.72/300.49  55216[0:MRR:55208.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.72/300.49  18455[0:SpR:15222.0,18152.0] ||  -> SkP1(u,c_Int_Onat__aux(v,c_Int_Onat__aux(w,x)),c_Int_Onat__aux(v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))))*.
% 299.72/300.49  24751[0:SpR:13412.1,15550.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,u))*.
% 299.72/300.49  24783[0:SpR:13412.1,22358.0] || equal(u,skf64(v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,c_Int_Onat__aux(y,u)))*.
% 299.72/300.49  15685[0:SpR:6450.1,15581.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,x))*.
% 299.72/300.49  15675[0:SpR:12874.1,15581.0] || equal(skf64(u),v)* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.72/300.49  24755[0:SpR:13412.1,22358.0] || equal(u,c_Int_Onat__aux(v,skf64(w)))* -> SkP1(x,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(y,u))*.
% 299.72/300.49  17546[2:SpR:13147.1,15102.1] hBOOL(u) || equal(skf48(v),w)* -> SkP1(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  16634[2:SpR:12260.1,15104.1] hBOOL(u) || equal(skf60(v),w)* -> SkP1(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  9945[0:SpL:442.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP1(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.49  22762[0:Rew:3614.0,22726.1] || equal(u,v) -> SkP1(w,v,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(x))))*.
% 299.72/300.49  22783[0:SpR:6450.1,22567.0] || equal(u,skf48(c_fequal(v))) -> SkP1(w,v,skf50(c_Int_Onat__aux(u,skf64(x))))*.
% 299.72/300.49  25075[0:SpR:18347.0,24692.1] || equal(skf50(skf64(u)),v) -> SkP1(w,v,skf50(c_Int_Onat__aux(x,skf64(u))))*.
% 299.72/300.49  24772[0:SpR:13412.1,22759.0] || equal(u,v) -> SkP1(w,v,skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(x))),u)))*.
% 299.72/300.49  2320[0:SpL:1607.0,333.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)*.
% 299.72/300.49  24681[0:SpL:5744.1,24635.0] || equal(u,v)* hBOOL(hAPP(c_fequal(w),v))* -> SkP1(x,w,u)*.
% 299.72/300.49  22807[0:SpR:18347.0,22759.0] ||  -> SkP1(u,skf50(skf64(v)),skf50(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),skf64(v)))))*.
% 299.72/300.49  2900[0:SpL:2526.0,333.0] || hBOOL(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> SkP1(c_Nat_OSuc,hAPP(c_Int_Onat,u),v).
% 299.72/300.49  22725[0:SpR:6450.1,22563.0] || equal(u,v) -> SkP1(w,hAPP(c_Int_Onat,v),skf50(c_Int_Onat__aux(u,skf64(x))))*.
% 299.72/300.49  24748[0:SpR:13412.1,22563.0] || equal(u,skf64(v))* -> SkP1(w,hAPP(c_Int_Onat,x),skf50(c_Int_Onat__aux(x,u)))*.
% 299.72/300.49  43814[0:SpR:742.0,24282.0] ||  -> SkP1(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),y),z),z)*.
% 299.72/300.49  26031[0:Res:301.0,642.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),hAPP(c_Int_Onat,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v)).
% 299.72/300.49  61645[0:SpR:742.0,46475.0] ||  -> SkP1(u,v,hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Nat_OSuc),v))*.
% 299.72/300.49  22797[0:SpR:12874.1,22759.0] || equal(skf64(u),v)* -> SkP1(w,x,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.72/300.49  22809[0:SpR:6450.1,22759.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP1(w,x,skf50(c_Int_Onat__aux(u,x)))*.
% 299.72/300.49  24775[0:SpR:13412.1,22567.0] || equal(u,skf64(v))* -> SkP1(w,x,skf50(c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.72/300.49  22702[0:SpR:10413.1,22546.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),skf50(c_Int_Onat__aux(x,skf64(v))))*.
% 299.72/300.49  24782[0:SpR:13412.1,22546.0] || equal(u,skf64(v)) -> SkP1(w,skf50(skf64(v)),skf50(c_Int_Onat__aux(x,u)))*.
% 299.72/300.49  17519[0:SpR:13147.1,3618.0] || equal(skf48(c_fequal(u)),v) -> SkP1(w,u,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))*.
% 299.72/300.49  23770[0:SpR:6450.1,23679.0] || equal(u,skf48(c_fequal(skf50(v)))) -> SkP1(w,v,c_Int_Onat__aux(u,skf64(x)))*.
% 299.72/300.49  23762[0:SpR:12874.1,23679.0] || equal(skf50(u),v) -> SkP1(w,u,c_Int_Onat__aux(skf48(c_fequal(v)),skf64(x)))*.
% 299.72/300.49  23859[0:SpR:12874.1,23766.0] || equal(skf64(u),v)* -> SkP1(w,x,c_Int_Onat__aux(skf48(c_fequal(v)),skf50(x)))*.
% 299.72/300.49  23869[0:SpR:6450.1,23766.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP1(w,x,c_Int_Onat__aux(u,skf50(x)))*.
% 299.72/300.49  24770[0:SpR:13412.1,23766.0] || equal(u,skf50(v)) -> SkP1(w,v,c_Int_Onat__aux(skf48(c_fequal(skf64(x))),u))*.
% 299.72/300.49  24777[0:SpR:13412.1,23679.0] || equal(u,skf64(v))* -> SkP1(w,x,c_Int_Onat__aux(skf48(c_fequal(skf50(x))),u))*.
% 299.72/300.49  24750[0:SpR:13412.1,18497.0] || equal(u,skf64(v))* -> SkP1(w,skf50(c_Int_Onat__aux(x,u)),c_Int_Onat__aux(x,u))*.
% 299.72/300.49  24737[0:SpR:13412.1,18152.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP1(w,c_Int_Onat__aux(x,v),c_Int_Onat__aux(x,u))*.
% 299.72/300.49  63683[0:SpR:9487.0,56401.1] || equal(u,skf50(skf64(v))) -> SkP1(w,u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))))*.
% 299.72/300.49  63078[0:SpR:2135.1,62997.0] || equal(skf64(u),v) -> SkP1(w,skf50(skf64(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.72/300.49  56683[0:SpR:10413.1,56402.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))))*.
% 299.72/300.49  63083[0:SpR:10413.1,62997.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v))))*.
% 299.72/300.49  47791[0:SpR:3757.0,11351.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  47898[0:Rew:15042.0,47800.0] ||  -> SkP1(u,hAPP(c_Int_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,x))))*.
% 299.72/300.49  24713[4:SpR:13412.1,18147.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.72/300.49  15502[4:SpR:10413.1,15440.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(w,skf64(v)))*.
% 299.72/300.49  24744[4:SpR:13412.1,15440.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v)),c_Int_Onat__aux(w,u))*.
% 299.72/300.49  62868[4:Res:61109.1,21720.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u)**.
% 299.72/300.49  3288[0:SpR:2526.0,2436.1] || hBOOL(hAPP(c_Int_Onat,u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  22279[4:SpR:2526.0,18146.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  22344[4:Rew:2526.0,22314.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.72/300.49  61293[4:SpR:15222.0,61143.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v))))*.
% 299.72/300.49  74584[4:SpR:2135.1,74566.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.72/300.49  74589[4:SpR:5744.1,74566.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,v))*.
% 299.72/300.49  75360[4:SpR:5744.1,75342.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,v))*.
% 299.72/300.49  24932[0:SpL:13412.1,18432.0] || equal(u,skf64(v))* equal(skf50(c_Int_Onat__aux(w,u)),c_Int_Onat__aux(w,u))** -> .
% 299.72/300.49  26263[0:SpR:9487.0,26052.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf50(skf64(u))))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))))*.
% 299.72/300.49  56676[0:SpL:2135.1,56412.0] || equal(skf64(u),v) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),skf50(skf64(u)))* -> .
% 299.72/300.49  55602[0:Res:55204.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.72/300.49  17471[0:Rew:2544.0,17429.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(c_Nat_OSuc,v))** -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u).
% 299.72/300.49  61952[0:Obv:61901.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  2893[0:SpL:2526.0,315.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))* -> equal(hAPP(c_Int_Onat,u),v).
% 299.72/300.49  11095[0:SpL:5744.1,10790.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),u)* -> .
% 299.72/300.49  25168[0:SpL:3622.0,17473.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(c_Nat_OSuc,u))** -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v).
% 299.72/300.49  11446[0:SpL:5744.1,11348.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)),u)* -> .
% 299.72/300.49  24916[0:SpL:13412.1,18191.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,v))* -> .
% 299.72/300.49  24913[0:SpL:13412.1,3118.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(w,u),hAPP(c_Int_Onat,w))* -> .
% 299.72/300.49  24918[0:SpL:13412.1,11348.0] || equal(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))* equal(c_Int_Onat__aux(w,u),v)* -> .
% 299.72/300.49  42890[0:SpL:12874.1,42446.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(skf48(c_fequal(v)),skf48(c_fequal(u)))* -> .
% 299.72/300.49  24940[0:SpL:13412.1,3635.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),u),w)** -> .
% 299.72/300.49  24714[0:SpR:13412.1,18149.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> equal(skf50(c_Int_Onat__aux(w,u)),c_Int_Onat__aux(w,v))*.
% 299.72/300.49  40051[0:Res:16882.1,695.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.72/300.49  40141[0:Res:16882.1,693.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.72/300.49  40063[0:SpR:5744.1,40052.0] || equal(u,v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.72/300.49  40164[0:SpR:5744.1,40072.0] || equal(u,v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u))*.
% 299.72/300.49  50968[0:SpL:5744.1,50956.0] || equal(skf46(u),v) hBOOL(hAPP(u,v))* -> hBOOL(hAPP(u,w))*.
% 299.72/300.49  56330[0:SSi:56313.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.72/300.49  29294[0:Res:150.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)),v))*.
% 299.72/300.49  5417[0:Rew:392.1,5407.2] class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Nat_Osemiring__1__class_Oof__nat(u,v))*.
% 299.72/300.49  9994[0:SpR:9487.0,2135.1] || equal(skf50(skf64(u)),v) -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))*.
% 299.72/300.49  12059[0:SpR:10413.1,9487.0] || equal(u,skf64(v)) -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(u)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)))*.
% 299.72/300.49  6257[0:SpL:5744.1,298.1] class_Orderings_Opreorder(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.72/300.49  16593[0:SpR:12260.1,12131.0] || equal(skf60(u),v)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  17492[0:SpR:13147.1,12487.0] || equal(skf48(u),v)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  16633[2:SpR:12260.1,14930.1] hBOOL(u) || equal(skf60(v),w)* -> SkP2(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  17545[2:SpR:13147.1,14928.1] hBOOL(u) || equal(skf48(v),w)* -> SkP2(c_fconj,u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.72/300.49  39187[0:SSi:39183.0,107.0] class_Int_Oring__char__0(t_a) || equal(v_p,u) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(t_a,t_a,c_Polynomial_Opoly(t_a,u))* -> .
% 299.72/300.49  2877[0:SpR:2526.0,316.1] || equal(hAPP(c_Int_Onat,u),v) -> equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))*.
% 299.72/300.49  7508[0:SpR:6450.1,3622.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u))*.
% 299.72/300.49  18424[0:SpL:6450.1,18191.0] || equal(u,v) equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(v,w))* -> .
% 299.72/300.49  18217[0:SpL:15222.0,10149.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* -> equal(skf50(u),c_Int_Onat__aux(v,w))*.
% 299.72/300.49  63768[2:SoR:10682.1,52587.1] class_Orderings_Owellorder(u) || equal(v,c_Orderings_Oord__class_OLeast(u,c_fNot))* -> equal(c_Int_Onat__aux(v,w),w)**.
% 299.72/300.49  7558[0:SpL:6450.1,3118.0] || equal(u,v) equal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),hAPP(c_Int_Onat,u))* -> .
% 299.72/300.49  18405[0:SpL:5744.1,18191.0] || equal(u,v) equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(w,u))* -> .
% 299.72/300.49  7567[0:SpL:6450.1,3635.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),u)* -> .
% 299.72/300.49  42881[0:SpL:5744.1,42446.0] || equal(u,v) equal(skf48(c_fequal(hAPP(c_Nat_OSuc,v))),skf48(c_fequal(u)))* -> .
% 299.72/300.49  17592[0:SpL:13147.1,7188.0] || equal(skf48(c_fequal(skf48(c_fNot))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Int_Onat))** -> .
% 299.72/300.49  28833[0:SpL:5744.1,28826.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> .
% 299.72/300.49  16594[0:SpR:12260.1,12142.0] || equal(skf60(u),v)* -> equal(skf60(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  17493[0:SpR:13147.1,12498.0] || equal(skf48(u),v)* -> equal(skf60(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.72/300.49  56656[0:SpL:5744.1,55634.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> .
% 299.72/300.49  2386[0:SpL:1607.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)*.
% 299.72/300.49  28385[0:SpL:2526.0,28333.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.49  26326[0:SpR:9487.0,26285.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf50(skf64(u))))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))))*.
% 299.72/300.49  40085[0:SSi:40073.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))*.
% 299.72/300.49  40187[0:SSi:40174.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  61947[0:SpL:49304.1,51176.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.72/300.49  9944[0:SpL:442.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP2(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.72/300.49  2899[0:SpL:2526.0,334.0] || hBOOL(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> SkP2(c_Nat_OSuc,hAPP(c_Int_Onat,u),v).
% 299.72/300.49  20535[0:SpL:313.1,586.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.49  4852[0:SpL:267.0,4191.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.72/300.49  16066[0:SpR:401.1,510.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  16856[0:SpR:401.1,507.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  71562[0:SpL:71409.1,51176.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.72/300.49  42337[0:SpR:687.1,403.1] class_Rings_Ocomm__ring__1(u) class_Rings_Omult__zero(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  40056[0:Res:4896.0,695.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))*.
% 299.72/300.49  58059[0:Res:54147.0,695.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))*.
% 299.72/300.49  17363[0:Res:269.1,12538.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf48(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf48(v)))))*.
% 299.72/300.49  16304[0:Res:269.1,12183.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf60(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf60(v)))))*.
% 299.72/300.49  3577[0:Res:269.1,384.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,v)))))*.
% 299.72/300.49  19727[0:Res:18720.1,12538.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf48(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf48(v)))))*.
% 299.72/300.49  19723[0:Res:18720.1,12183.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf60(v)),skf60(c_Orderings_Oord__class_Oless__eq(u,skf60(v)))))*.
% 299.72/300.49  8364[0:AED:109.0,8358.1] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,v)))))*.
% 299.72/300.49  16857[0:SpR:403.1,507.1] class_Rings_Omult__zero(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  30407[0:AED:109.0,30345.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  54143[0:Res:507.1,51176.0] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf49(hAPP(c_Rings_Odvd__class_Odvd(u),v))))*.
% 299.72/300.49  43796[0:SpR:742.0,285.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_COMBK(x,y)),z),x1),x1)**.
% 299.72/300.49  44136[0:SpL:742.0,287.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_fconj),x),y))* -> hBOOL(y).
% 299.72/300.49  108638[0:AED:109.0,51837.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.72/300.49  108639[0:AED:109.0,71144.2] class_Rings_Oring(u) class_Rings_Oring__no__zero__divisors(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.72/300.49  111868[18:MRR:73880.2,111803.0] || equal(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.72/300.49  115999[0:SpL:108627.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.49  116000[0:SpL:108627.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.72/300.49  116031[0:SpL:108628.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)*.
% 299.72/300.49  116032[0:SpL:108628.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)*.
% 299.72/300.49  118129[18:SpR:3632.0,111832.1] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf48(c_Nat_OSuc))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.72/300.49  118147[18:SpR:18347.0,111833.1] || equal(skf50(skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(skf50(c_Int_Onat__aux(skf48(c_Nat_OSuc),skf64(u))))*.
% 299.72/300.49  124271[18:SpR:2170.1,111830.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  124272[18:SpR:2170.1,111831.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.72/300.49  127224[18:SpR:9370.1,118137.1] || equal(skf48(c_fequal(skf50(u))),skf48(c_Nat_OSuc))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(u).
% 299.72/300.49  127233[18:Res:118137.1,12569.0] || equal(skf48(c_fequal(skf57(c_Nat_OSuc))),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf48(c_fequal(u))))*.
% 299.72/300.49  134118[0:SSi:134117.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  135098[18:SpL:10413.1,114146.0] || equal(u,skf64(v))* equal(skf50(u),skf49(c_Nat_OSuc))** -> hBOOL(skf64(v))*.
% 299.72/300.49  135239[18:SpR:5169.0,111833.1] || equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(c_Int_Onat__aux(u,hAPP(c_Int_Onat,skf48(c_Nat_OSuc))))*.
% 299.72/300.49  135762[18:SpR:2526.0,111848.1] || equal(u,hAPP(c_Int_Onat,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)*.
% 299.72/300.49  135812[18:SpR:2526.0,111849.1] || equal(u,hAPP(c_Int_Onat,v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)*.
% 299.72/300.49  135847[18:SpR:2526.0,111850.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)))*.
% 299.72/300.49  135902[18:Rew:2526.0,135832.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(v,hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  135907[18:Rew:10216.1,135849.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,u),hAPP(c_Int_Onat,v))*.
% 299.72/300.49  136091[18:SpR:2526.0,111851.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)))*.
% 299.72/300.49  136146[18:Rew:2526.0,136075.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(v,hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  136151[18:Rew:10216.1,136093.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,u),hAPP(c_Int_Onat,v))*.
% 299.72/300.49  136676[18:MRR:136675.1,111803.0] || equal(skf48(c_fequal(skf62(c_Nat_OSuc,u))),skf48(c_Nat_OSuc))** -> hBOOL(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  137495[18:SpR:5744.1,111830.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))*.
% 299.72/300.49  137496[18:SpR:5744.1,111831.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))*.
% 299.72/300.49  137982[0:SpR:5744.1,108627.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  139295[18:SpL:5744.1,111823.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  139307[18:SpL:5744.1,111827.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  139315[18:SpL:5744.1,111828.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  140409[18:SpR:6450.1,111832.1] || equal(u,v)* equal(skf48(c_Nat_OSuc),u)* -> hBOOL(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  140490[18:SpR:6450.1,111833.1] || equal(skf48(c_Nat_OSuc),u) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(c_Int_Onat__aux(u,v))*.
% 299.72/300.49  141112[18:SpR:13412.1,111833.1] || equal(u,v)* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(c_Int_Onat__aux(skf48(c_Nat_OSuc),u))*.
% 299.72/300.49  142482[18:SpR:49088.0,111821.1] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf49(c_Nat_OSuc)) -> hBOOL(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  148962[23:SpR:5744.1,148527.1] || equal(u,v)* equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.72/300.49  149009[23:MRR:149001.1,19248.0] || equal(skf62(c_Int_Onat,u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.72/300.49  149069[23:SpL:13680.1,148982.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.72/300.49  149156[23:SpL:12874.1,148970.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u)*.
% 299.72/300.49  149162[23:SpL:12545.1,148970.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))* -> hBOOL(skf64(u))*.
% 299.72/300.49  149727[24:SSi:149708.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  149984[2:SpR:266.0,146402.0] ||  -> hBOOL(u) equal(skf48(c_fequal(skf64(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))**.
% 299.72/300.49  150165[2:SpL:5744.1,150131.0] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf49(c_fNot))** -> hBOOL(u)*.
% 299.72/300.49  150179[2:SSi:150178.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf49(c_fNot))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.72/300.49  150354[0:SSi:150325.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  151157[2:SpR:5744.1,150557.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  151160[2:SpR:2170.1,150557.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.72/300.49  151174[2:SSi:151165.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  151176[2:SpR:5744.1,150559.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.72/300.49  151179[2:SpR:2170.1,150559.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.72/300.49  151193[2:SSi:151184.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  151194[4:SpL:5744.1,150676.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf47(c_Int_Onat))** -> .
% 299.72/300.49  151423[4:SpL:5744.1,150677.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf47(c_Int_Onat))** -> .
% 299.72/300.49  151426[4:SpL:5744.1,150678.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf47(c_Int_Onat))** -> .
% 299.72/300.49  151704[0:SpL:9370.1,150319.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  151705[0:SpL:15222.0,150319.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.72/300.49  151798[6:SpL:9370.1,151735.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  151799[6:SpL:15222.0,151735.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.72/300.49  152859[2:SpR:10150.1,152834.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u))))))*.
% 299.72/300.49  152985[0:SpR:12545.1,58677.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf51(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  152994[0:SpR:18347.0,58677.0] ||  -> equal(skf51(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  153009[0:SpR:3709.1,58677.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))* equal(skf51(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  154512[2:Res:152835.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  156254[13:Rew:156198.0,156149.0] || equal(skf64(u),skf47(c_Int_Onat)) equal(skf48(c_fequal(skf64(u))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  156256[0:Rew:156198.0,156151.0] || equal(skf64(u),skf49(c_Int_Onat)) equal(skf48(c_fequal(skf64(u))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  156260[0:Rew:156198.0,156165.0] || equal(skf64(u),skf46(c_Int_Onat)) equal(skf48(c_fequal(skf64(u))),skf48(c_Int_Onat))** -> .
% 299.72/300.49  156261[0:Rew:156198.0,156166.0] || equal(skf64(u),skf57(c_Int_Onat)) equal(skf48(c_fequal(skf64(u))),skf48(c_Int_Onat))** -> .
% 299.72/300.49  156481[0:SpR:13147.1,156198.0] || equal(skf48(c_fequal(skf64(u))),v)* -> equal(skf64(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf64(u))*.
% 299.72/300.49  157324[0:Res:513.1,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))),u))* -> .
% 299.72/300.49  157389[4:SpR:5744.1,157334.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))))*.
% 299.72/300.49  157395[4:SpR:15222.0,157334.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))))*.
% 299.72/300.49  157398[4:SpR:2135.1,157334.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.72/300.49  157762[0:Res:520.1,56384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))),u))* -> .
% 299.72/300.49  157796[0:Rew:15222.0,157784.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Int_Onat,u))** -> .
% 299.72/300.49  157787[0:SpL:9370.1,157764.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),skf50(u))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  158372[8:SpL:48262.0,63156.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))),skf47(c_Int_Onat)))* -> .
% 299.72/300.49  158373[0:SpL:276.0,63156.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))* -> .
% 299.72/300.49  158390[0:SpL:18711.1,63126.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> SkP0(v,u)*.
% 299.72/300.49  158394[0:SpL:8586.1,63126.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> SkP0(u,v)*.
% 299.72/300.49  163293[2:Res:163233.0,27439.1] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),skf47(c_Int_Onat))** -> .
% 299.72/300.49  169958[0:SpR:10145.1,293.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  170423[8:MRR:170295.0,170295.1,19248.0,8759.0] ||  -> hBOOL(skf68(c_Int_Onat,u,v))* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.72/300.49  170425[4:MRR:170424.0,8759.0] || hBOOL(skf68(c_COMBI(u),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.72/300.49  170813[8:MRR:170683.0,170683.1,19248.0,8759.0] ||  -> hBOOL(skf67(c_Int_Onat,u,v))* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.72/300.49  170815[4:MRR:170814.0,8759.0] || hBOOL(skf67(c_COMBI(u),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.72/300.49  171426[2:SSi:171425.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.49  171540[2:SSi:171537.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.49  173509[0:SpL:5744.1,173378.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  174969[0:SpR:15222.0,172506.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  175136[4:SpR:10150.1,174995.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.72/300.49  175165[4:SpR:13412.1,174999.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.72/300.49  175216[4:SpR:10150.1,175149.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(v,skf64(w)))*.
% 299.72/300.49  175453[4:SpR:3703.0,175193.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.72/300.49  175454[4:SpR:3704.0,175193.0] ||  -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)))*.
% 299.72/300.49  175457[4:SpR:3690.1,175193.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v).
% 299.72/300.49  175497[0:SpR:9370.1,172507.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  175498[0:SpR:15222.0,172507.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  176513[0:SpR:2872.0,176502.0] ||  -> SkP1(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w,x))*.
% 299.72/300.49  176760[0:SpR:9487.0,176536.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v,w)))*.
% 299.72/300.49  12789[2:Rew:12519.0,8455.1] || equal(skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.72/300.49  38958[10:Res:38833.1,12569.0] || equal(skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.72/300.49  64528[2:MRR:51432.1,64525.1] || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  8456[2:MRR:8446.1,4367.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  58303[2:SpR:5744.1,58208.0] || equal(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  19767[2:SpR:5744.1,19380.0] || equal(skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  64526[10:MRR:51363.1,64525.1] || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  38956[10:Res:38833.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  77970[10:Res:39951.1,50956.0] || equal(hAPP(c_Nat_OSuc,skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  150151[2:Res:150018.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),skf49(c_fNot))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  161877[2:Res:150015.1,50956.0] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.72/300.49  19763[2:SpR:5744.1,19380.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u))))*.
% 299.72/300.49  147200[10:MRR:147195.0,38830.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.72/300.49  38944[10:SpR:5744.1,38833.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.72/300.49  150017[2:SoR:10682.1,146464.2] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_fNot),v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.72/300.49  150127[2:SpR:5744.1,150018.1] || equal(u,v)* equal(skf49(c_fNot),u)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.72/300.49  146457[2:SSi:146453.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  159752[2:SSi:159721.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  58300[2:SpR:5744.1,58208.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u))))*.
% 299.72/300.49  72385[4:SpR:5744.1,71830.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  71758[2:Res:51947.1,24466.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  152185[2:SpR:5744.1,152162.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  146504[2:SSi:146472.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))* hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.72/300.49  5068[0:SSi:5067.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u))))*.
% 299.72/300.49  64593[2:SSi:64569.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  64532[2:SSi:64502.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.72/300.49  38962[10:SSi:38954.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.49  150161[2:SSi:150140.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf49(c_fNot)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.72/300.49  53987[0:SpL:267.0,51176.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.72/300.49  179299[2:SSi:179298.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v)))*.
% 299.72/300.49  179322[0:SSi:179321.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.72/300.49  179324[0:SSi:179323.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  179330[0:Rew:364.1,179329.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),v)**.
% 299.72/300.49  179470[0:SpR:1075.0,285.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_COMBK(w,x)),y),hAPP(c_Nat_OSuc,z)),y)**.
% 299.72/300.49  179567[0:SpR:1075.0,24282.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y)),x)*.
% 299.72/300.49  179853[0:SpL:1075.0,287.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_fconj),w),hAPP(c_Nat_OSuc,x)))* -> hBOOL(w).
% 299.72/300.49  180235[2:MRR:180234.0,4368.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),u)))),u))*.
% 299.72/300.49  180658[0:SSi:180636.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u))**.
% 299.72/300.49  183096[0:MRR:183095.1,8588.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.72/300.49  183193[0:SSi:183136.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)),w),u)**.
% 299.72/300.49  183194[0:SSi:183137.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Opcompose(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)),w),u)**.
% 299.72/300.49  183251[0:SpL:183186.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),v,u)*.
% 299.72/300.49  183252[0:SpL:183186.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),v,u)*.
% 299.72/300.49  183752[0:SSi:183713.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.72/300.49  184691[0:SpL:184630.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),v,u)*.
% 299.72/300.49  184692[0:SpL:184630.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),v,u)*.
% 299.72/300.49  184754[2:SSi:184752.1,184752.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.72/300.49  184918[0:SSi:184912.1,184912.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v))* -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(tc_Int_Oint,u))*.
% 299.72/300.49  185202[0:SpL:185071.1,16589.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(u,v)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.72/300.49  185238[0:Rew:185071.1,185128.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(u,v) -> equal(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.72/300.49  185243[0:Rew:185071.1,185207.2] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(u,v).
% 299.72/300.49  187632[0:SSi:187606.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.49  188230[0:SSi:188191.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.49  188710[2:SSi:188692.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  188711[2:SSi:188701.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  188730[2:SSi:188712.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.72/300.49  188731[2:SSi:188721.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.72/300.49  188827[2:SpR:18711.1,188750.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 299.72/300.49  188856[2:SpR:18711.1,188772.0] ||  -> SkP0(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 299.72/300.49  188961[0:SSi:188935.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.72/300.49  5739[0:SpR:2526.0,379.0] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(u,v,w),c_Int_Onat__aux(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(w,hAPP(c_Int_Onat,x)))**.
% 299.72/300.49  14957[0:SpR:3753.0,3749.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,u)))*.
% 299.72/300.49  15023[0:SpL:3753.0,11444.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf64(v)))),skf50(skf64(v)))** -> .
% 299.72/300.49  15232[0:Rew:15222.0,15036.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Nat_OSuc,u))** -> .
% 299.72/300.49  17432[0:SpL:3749.0,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(w)),u))* -> equal(v,w).
% 299.72/300.49  20544[0:SpL:403.1,586.1] class_Rings_Omult__zero(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.49  22545[0:SpR:18347.0,3749.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(skf50(skf64(u)))),v),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u))))**.
% 299.72/300.49  24467[0:Obv:24448.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(c_fequal(v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.72/300.49  29791[0:AED:109.0,29776.2] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.49  30408[0:AED:109.0,30380.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.72/300.49  47879[0:SpL:3757.0,9535.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))),skf50(skf64(w)))** -> .
% 299.72/300.49  47905[0:Rew:3654.0,47775.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,w)),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.72/300.49  47909[0:Rew:3632.0,47817.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(c_Int_Onat__aux(u,v))),w),c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)))**.
% 299.72/300.49  48276[4:MRR:48275.0,8759.0] ||  -> hBOOL(hAPP(c_Int_Onat,u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))),u)**.
% 299.72/300.49  53468[0:SSi:53467.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(u,v)) equal(skf48(c_fequal(skf62(u,skf48(c_fequal(v))))),skf48(c_fequal(v)))**.
% 299.72/300.49  67723[15:SSi:67676.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,u,v_cs____)),v),hAPP(c_Polynomial_Opoly(t_a,u),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.72/300.49  15331[0:SpL:496.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP2(c_Polynomial_Osmult(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.72/300.49  15332[0:SpL:496.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP1(c_Polynomial_Osmult(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.72/300.49  76476[0:SSi:76434.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),v))**.
% 299.72/300.49  76475[0:SSi:76431.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),v),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),v))**.
% 299.72/300.49  70031[0:SpL:3704.0,20269.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  70030[0:SpL:3703.0,20269.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  61127[4:Res:42157.0,4191.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.49  62900[4:Res:61109.1,4191.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.49  44161[0:Rew:1618.0,43840.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.49  40810[0:SpL:10146.1,18204.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  68975[0:SpL:12874.1,68942.0] || equal(skf64(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.49  77623[0:SpL:5744.1,77568.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  77686[0:SpL:5744.1,77646.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  12629[0:Rew:12519.0,8503.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  4476[0:SpR:2169.1,3536.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.49  5081[0:SpR:342.1,2398.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(u,v))* -> SkP2(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.49  5073[0:SpR:342.1,2332.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(u,v))* -> SkP1(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.49  19535[0:SpR:12260.1,18855.0] || equal(skf60(u),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(u))*.
% 299.83/300.49  19547[0:SpR:13680.1,18856.0] || equal(skf47(u),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(u))*.
% 299.83/300.49  19517[0:SpR:13147.1,18854.0] || equal(skf48(u),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(u))*.
% 299.83/300.49  19548[0:SpR:12435.1,18857.0] || equal(skf57(u),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf57(u))*.
% 299.83/300.49  4499[0:SpR:2169.1,3537.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.49  77626[0:SpL:2170.1,77568.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> .
% 299.83/300.49  77689[0:SpL:2170.1,77646.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> .
% 299.83/300.49  25793[0:SpL:12874.1,25770.0] || equal(skf64(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  24917[0:SpL:13412.1,18204.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(skf48(c_fequal(c_Int_Onat__aux(w,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  20505[0:SpR:2169.1,19575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.49  20720[0:SpR:2169.1,20513.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.49  20204[0:SpL:12874.1,18204.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w)* equal(skf48(c_fequal(w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  17588[0:SpL:13147.1,4822.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  17610[0:SpL:13147.1,10012.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  16650[0:SpL:12260.1,12167.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.49  17233[0:SpL:12435.1,12362.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.49  17565[0:SpL:13147.1,12520.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.49  17714[0:SpL:13680.1,13562.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.49  17608[0:SpL:13147.1,4539.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  75247[0:SpL:12260.1,75200.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  75248[0:SpL:12260.1,75201.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  14379[0:SpR:5744.1,12133.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  14423[0:SpR:5744.1,12332.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  14492[0:SpR:5744.1,12489.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  14570[0:SpR:5744.1,14377.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  12730[0:Rew:12519.0,2217.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,v)*.
% 299.83/300.49  12732[0:Rew:12519.0,2075.2] || equal(u,v)* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.49  70028[0:SpL:3690.1,20269.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.49  8568[0:SpR:5744.1,8517.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  25799[0:SpL:5744.1,25770.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.49  5950[0:SpR:5744.1,2449.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  5830[0:SpR:5744.1,2169.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  17220[0:SpR:12435.1,16659.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* -> equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.49  17241[0:SpL:12435.1,16996.0] || equal(skf57(u),v)* equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.49  17551[0:SpR:13147.1,16659.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* -> equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.49  17618[0:SpL:13147.1,16996.0] || equal(skf48(u),v)* equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.49  17698[0:SpR:13680.1,16659.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* -> equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.49  17742[0:SpL:13680.1,16996.0] || equal(skf47(u),v)* equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.49  24344[0:SpR:12260.1,24287.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP1(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.49  5929[0:SpR:5744.1,4868.0] || equal(u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.49  4411[0:SpR:2673.1,3732.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),v)**.
% 299.83/300.49  4450[0:SpL:2673.1,3733.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(v,u)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  19518[0:SpR:12874.1,18854.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.49  4032[0:SpR:2673.1,3634.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.49  25558[0:Res:12816.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.49  16983[0:SpL:16659.1,12261.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(skf60(v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(skf60(v),u)*.
% 299.83/300.49  17252[0:SpL:16659.1,12436.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(skf57(v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(skf57(v),u)*.
% 299.83/300.49  17650[0:SpL:16659.1,13148.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(skf48(v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(skf48(v),u)*.
% 299.83/300.49  17755[0:SpL:16659.1,13681.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(skf47(v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(skf47(v),u)*.
% 299.83/300.49  2336[0:SpL:2169.1,333.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))* -> SkP1(c_Int_Onat,u,v)*.
% 299.83/300.49  2402[0:SpL:2169.1,334.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))* -> SkP2(c_Int_Onat,u,v)*.
% 299.83/300.49  8570[0:SpR:5744.1,8517.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.49  14382[0:SpR:5744.1,12133.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.83/300.49  14426[0:SpR:5744.1,12332.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.83/300.49  14495[0:SpR:5744.1,12489.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.83/300.49  14573[0:SpR:5744.1,14377.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.83/300.49  26085[0:Rew:1878.0,26051.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  26324[0:Rew:1878.0,26300.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  57469[2:SpR:5744.1,52145.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.49  57725[2:SpR:5744.1,52901.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.49  58620[0:SpR:5744.1,56140.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)))*.
% 299.83/300.49  63067[0:MRR:63026.1,220.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.49  63095[0:SpR:2169.1,63055.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.83/300.49  68980[0:SpL:5744.1,68942.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf64(v)))),u))* -> .
% 299.83/300.49  48272[4:MRR:48271.0,8759.0] ||  -> hBOOL(hAPP(c_Int_Onat,u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)**.
% 299.83/300.49  17544[0:SpR:13147.1,7721.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.49  6306[0:SpL:5744.1,4191.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,skf60(v)))*.
% 299.83/300.49  5938[0:SpR:5744.1,2449.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.49  19577[0:SSi:19559.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  44831[0:SpR:12675.1,12491.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.49  44832[0:SpR:12675.1,28557.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(v)))*.
% 299.83/300.49  44833[0:SpR:12675.1,28558.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(v)))*.
% 299.83/300.49  44834[0:SpR:12675.1,28559.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(v)))*.
% 299.83/300.49  44835[0:SpR:12675.1,28560.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(v)))*.
% 299.83/300.49  45340[0:SpR:268.0,783.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.49  50021[0:SSi:49962.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  51937[0:SSi:51932.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.49  52136[2:Res:51858.0,786.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.49  55349[0:SSi:55342.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) -> .
% 299.83/300.49  45279[0:SpR:268.0,785.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  45958[0:SpL:268.0,784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.49  49879[0:SSi:49818.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  50020[0:SSi:49959.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  64641[0:SSi:64630.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.49  16667[0:SSi:16646.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.49  16669[0:SSi:16656.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.49  75815[0:Res:5870.1,24466.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  56872[0:SpR:5744.1,55281.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.49  56886[0:SpL:5744.1,56661.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  55618[0:Res:55294.0,12554.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.83/300.49  64654[0:SpR:12874.1,64590.0] || equal(hAPP(c_Nat_OSuc,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.83/300.49  26270[0:SpR:12586.1,26052.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.49  25566[0:SpL:5744.1,25507.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> SkP0(u,w)*.
% 299.83/300.49  25502[0:Res:1911.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,u))*.
% 299.83/300.49  6249[0:SpL:5744.1,326.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(w,v)*.
% 299.83/300.49  26202[0:SpR:5744.1,26077.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.49  38563[0:SSi:38448.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.83/300.49  47080[0:SpL:268.0,12673.0] || equal(u,skf48(c_fequal(hAPP(c_Nat_OSuc,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.49  53851[0:SSi:53844.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.49  54975[0:SSi:54965.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) -> .
% 299.83/300.49  73641[2:SpL:12589.1,73424.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  20728[0:SpR:13147.1,20724.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)*.
% 299.83/300.49  20517[0:SpR:13147.1,20510.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(v,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.49  52065[2:SpL:13147.1,51990.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.49  52066[2:SpL:13147.1,52000.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.49  73640[2:SpL:12874.1,73424.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  28849[0:SpL:5744.1,28836.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  11855[0:SpR:5744.1,11853.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.49  55069[0:Res:54122.0,12554.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.83/300.49  73716[2:SpL:12589.1,73426.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  17537[0:SpR:13147.1,4477.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)*.
% 299.83/300.49  52116[2:SpL:13147.1,52047.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.49  52117[2:SpL:13147.1,52057.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.49  73715[2:SpL:12874.1,73426.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  53143[0:Res:257.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.49  53144[0:Res:256.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.49  53145[0:Res:253.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.49  53146[0:Res:252.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.49  20752[0:Res:585.1,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP0(v,u)*.
% 299.83/300.49  6293[0:SpL:5744.1,327.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)*.
% 299.83/300.49  11893[0:Res:536.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.49  51853[2:Res:874.1,51414.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))*.
% 299.83/300.49  64533[0:SSi:64507.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.49  78770[0:Res:48874.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  76530[15:SpL:76473.0,24466.0] || hBOOL(c_Groups_Ozero__class_Ozero(t_a)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  75122[0:Res:29873.0,24466.0] ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  73223[4:SpR:5744.1,71839.1] hBOOL(u) || equal(u,v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_fconj,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  71855[4:MRR:71690.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  71629[15:SpL:67619.0,24466.0] || hBOOL(c_Groups_Ozero__class_Ozero(t_a)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  71840[0:Rew:1878.0,71776.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  71772[0:Res:378.1,24466.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  68884[0:Rew:307.0,68833.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  68883[0:Rew:47909.0,68882.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(u)),w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  64292[2:SpR:63796.1,63055.0] || equal(u,skf49(c_fNot)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.83/300.49  58642[0:SpR:13412.1,57266.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> equal(skf51(c_Int_Onat__aux(w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  55659[0:SpR:837.1,27252.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  55469[0:MRR:55468.2,1936.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> .
% 299.83/300.49  53672[0:SSi:53663.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> .
% 299.83/300.49  54470[0:Res:54359.0,735.0] ||  -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_fNot),u)),skf49(c_fNot)))*.
% 299.83/300.49  51044[0:Res:1909.0,50956.0] ||  -> equal(skf46(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.49  49085[8:SpR:48262.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  41624[0:Res:150.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.83/300.49  2418[0:SpL:319.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Power_Opower_Opower(w,u,x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.83/300.49  22698[0:SpR:10150.1,22546.0] || equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP1(w,skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  22732[0:SpR:10150.1,22563.0] || equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP1(w,hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  64410[2:SpL:63796.1,334.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))* -> SkP2(c_Int_Onat,u,v)*.
% 299.83/300.49  64411[2:SpL:63796.1,333.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))* -> SkP1(c_Int_Onat,u,v)*.
% 299.83/300.49  22790[0:SpR:10150.1,22567.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP1(w,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  7451[0:SpL:6936.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(w,v),u)*.
% 299.83/300.49  7268[0:SpL:6937.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.49  10727[0:SpL:9504.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(v),u)*.
% 299.83/300.49  7450[0:SpL:6936.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(w,v),u)*.
% 299.83/300.49  7267[0:SpL:6937.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.49  10726[0:SpL:9504.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(v),u)*.
% 299.83/300.49  22819[0:SpR:10150.1,22759.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP1(w,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  20062[8:SpR:5744.1,19261.1] || equal(skf60(c_Nat_OSuc),u) equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.49  27990[0:Res:2803.1,3739.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.49  28148[0:Res:2803.1,3740.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.83/300.49  24935[0:SpL:13412.1,18212.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(w,c_Int_Onat__aux(x,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  24925[0:SpL:13412.1,18212.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* equal(c_Int_Onat__aux(x,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  22550[0:SpR:18347.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  22542[0:SpR:18347.0,6936.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),skf50(c_Int_Onat__aux(v,skf64(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  25276[0:SpL:12260.1,25269.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  19410[8:SpL:13147.1,19325.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(u).
% 299.83/300.49  22590[0:SpL:18347.0,6848.0] || equal(skf50(c_Int_Onat__aux(u,skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  52267[2:SpL:52124.1,441.0] || equal(hAPP(c_Int_Onat,skf34(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(skf35(c_Int_Onat)) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Int_Onat)*.
% 299.83/300.49  10723[0:SpR:5744.1,9504.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  9995[0:SpR:9487.0,2179.1] || equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  10010[0:SpL:9487.0,1606.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  22578[0:SpR:18347.0,15552.1] ||  -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(c_Int_Onat__aux(w,skf64(u))))*.
% 299.83/300.49  23296[0:SpR:18347.0,19613.1] ||  -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,skf48(c_fequal(skf50(c_Int_Onat__aux(w,skf64(u))))))*.
% 299.83/300.49  28303[0:SpL:5744.1,28286.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  64269[2:SpR:63796.1,5744.1] || equal(u,skf49(c_fNot))* equal(u,v)* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  10717[0:SpR:9504.0,5744.1] || equal(skf64(u),v)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  7447[0:SpR:5744.1,6936.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(w,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  7425[0:SpR:6936.0,5744.1] || equal(c_Int_Onat__aux(u,v),w)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  7261[0:SpR:5744.1,6937.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  19432[0:SpR:593.1,3732.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),u))* -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v).
% 299.83/300.49  18133[0:SpR:15222.0,2117.1] || equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  18199[0:SpL:15222.0,2257.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  12395[0:SpR:219.0,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  14898[0:SpL:219.0,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.83/300.49  2185[0:SpR:2117.1,316.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(u,v)* -> equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  2254[0:SpL:2117.1,315.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,v)*.
% 299.83/300.49  2263[0:SpL:316.1,2257.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)*.
% 299.83/300.49  28381[0:SpL:2117.1,28333.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u)* -> .
% 299.83/300.49  24625[0:SpR:2117.1,23842.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(skf50(v),u)* -> SkP1(w,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.49  24532[0:SpR:2117.1,24439.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.49  2382[0:SpL:2117.1,334.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v))* -> SkP2(c_Nat_OSuc,u,v)*.
% 299.83/300.49  9360[4:SpR:2117.1,8782.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,u)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.49  22275[4:SpR:2117.1,18146.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  58507[0:SpR:2117.1,55206.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  42156[0:SpR:3709.1,3736.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  7255[0:SpR:6937.0,5744.1] || equal(hAPP(c_Nat_OSuc,u),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  6273[0:SpL:5744.1,4544.0] || equal(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.49  12002[0:SpL:3654.0,10132.0] || equal(c_Int_Onat__aux(u,v),skf50(hAPP(c_Int_Onat,u)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  24140[0:SpR:3654.0,11363.1] ||  -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,w))*.
% 299.83/300.49  10107[0:SpR:9370.1,382.1] || equal(u,skf50(v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.83/300.49  14750[0:Rew:2544.0,14675.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(hAPP(c_Nat_OSuc,v),u)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  24906[0:SpL:13412.1,6848.0] || equal(u,v)* equal(c_Int_Onat__aux(w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  24907[0:SpL:13412.1,10132.0] || equal(u,v) equal(c_Int_Onat__aux(w,u),skf50(v))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  26374[0:SpL:3654.0,3742.0] || equal(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  24788[0:SpR:13412.1,15552.1] || equal(u,v)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,u))*.
% 299.83/300.49  24790[0:SpR:13412.1,11363.1] || equal(u,v) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(v),c_Int_Onat__aux(x,u))*.
% 299.83/300.49  24789[0:SpR:13412.1,19613.1] || equal(u,v)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,u))))*.
% 299.83/300.49  23309[0:SpR:12874.1,19613.1] || equal(c_Int_Onat__aux(u,v),w)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(x,skf48(c_fequal(w)))*.
% 299.83/300.49  5920[0:SpR:5744.1,1909.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.49  39450[0:Res:301.0,1650.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  40818[0:SpL:10146.1,18212.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  5970[0:SpR:5744.1,319.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,x),y),u),w)**.
% 299.83/300.49  10112[0:SpR:9370.1,379.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_Onat_Onat__case(v,w,x),u),hAPP(x,skf50(u)))**.
% 299.83/300.49  11489[0:SpR:5744.1,10083.1] || equal(u,v) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),v))*.
% 299.83/300.49  11541[0:SpL:5744.1,10120.0] || equal(u,v) equal(hAPP(c_Nat_OSuc,v),skf50(u))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  11546[0:SpL:9370.1,10120.0] || equal(skf50(skf50(u)),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  16493[0:Res:539.0,1606.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  22585[0:SpL:18347.0,3735.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  15967[0:SpR:5744.1,10799.1] || equal(u,v) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.49  15972[0:SpR:9370.1,10799.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(skf50(u)),u)*.
% 299.83/300.49  24144[0:SpR:3753.0,11363.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,u)))*.
% 299.83/300.49  19490[0:SpR:13147.1,18713.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  18157[0:SpR:15222.0,431.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.49  10106[0:SpR:9370.1,431.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.83/300.49  28974[0:Res:2803.1,632.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> equal(v,u).
% 299.83/300.49  40733[4:SpR:10146.1,8769.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(u)),v))*.
% 299.83/300.49  40739[0:SpR:10146.1,3623.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.83/300.49  40749[0:SpR:10146.1,18125.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.83/300.49  40812[0:SpL:10146.1,18225.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.49  42330[0:SpR:687.1,458.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.49  52088[0:Res:382.1,863.0] || equal(u,v) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,u)),u)**.
% 299.83/300.49  52092[0:Res:7339.0,863.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),u)),u)**.
% 299.83/300.49  74417[0:SpR:9370.1,27877.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))*.
% 299.83/300.49  78429[0:SpR:9370.1,42448.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf50(u)))),skf48(c_fequal(u))))*.
% 299.83/300.49  12646[0:Rew:12519.0,4145.1] ||  -> SkP1(u,skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf48(c_fequal(w))))*.
% 299.83/300.49  12739[0:Rew:12519.0,4147.1] || equal(skf57(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(c_fequal(v))))*.
% 299.83/300.49  12651[0:Rew:12519.0,7373.1] ||  -> SkP1(u,skf57(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf48(c_fequal(w))))*.
% 299.83/300.49  12757[0:Rew:12519.0,6709.1] || equal(skf57(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v))))*.
% 299.83/300.49  4345[0:Res:301.0,383.0] ||  -> SkP1(u,hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.83/300.49  4347[0:Res:300.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.49  7375[0:Res:7329.1,383.0] ||  -> SkP1(u,hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.49  6711[0:Res:5747.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.49  4533[0:Rew:360.1,4532.2] class_Groups_Ocomm__monoid__mult(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))))* -> hBOOL(v)*.
% 299.83/300.49  4565[0:Rew:359.1,4564.2] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))))* -> hBOOL(v)*.
% 299.83/300.49  4683[0:Rew:363.1,4682.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))))* -> hBOOL(v)*.
% 299.83/300.49  4638[0:Rew:365.1,4637.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)))))* -> hBOOL(v)*.
% 299.83/300.49  4490[0:Rew:355.1,4489.2] class_Groups_Omonoid__add(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))))* -> hBOOL(v)*.
% 299.83/300.49  4585[0:Rew:354.1,4584.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))))* -> hBOOL(v)*.
% 299.83/300.49  4726[0:Rew:351.1,4725.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))))* -> hBOOL(v)*.
% 299.83/300.49  17594[0:SpL:13147.1,7202.0] || equal(skf48(c_fequal(skf47(c_COMBI(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_Int_Onat))** -> .
% 299.83/300.49  17723[0:SpL:13680.1,7202.0] || equal(skf47(c_COMBI(u)),v)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf48(c_Int_Onat))** -> .
% 299.83/300.49  20688[8:SpL:13680.1,20598.0] || equal(skf47(c_COMBI(u)),v)* equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.49  74203[0:SpR:5744.1,74160.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  74234[0:SpR:5744.1,74161.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  74257[0:SpR:5744.1,74162.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  74352[0:SpR:5744.1,74163.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  61129[4:Res:42157.0,4192.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.49  62902[4:Res:61109.1,4192.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.49  43270[0:SpL:12589.1,42887.0] || equal(skf50(skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf48(c_fequal(skf64(u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.49  64814[0:SpL:12874.1,64775.0] || equal(skf64(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.49  5079[0:SpR:2070.1,2398.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(u,v))* -> SkP2(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.49  5071[0:SpR:2070.1,2332.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(u,v))* -> SkP1(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.49  73751[4:SpL:12589.1,73457.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  73834[4:SpL:12589.1,73458.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  73858[4:SpL:12589.1,73459.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  73877[4:SpL:12589.1,73460.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  63132[0:SpR:12589.1,63096.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.49  64786[0:SpR:12874.1,64662.0] || equal(hAPP(c_Nat_OSuc,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.83/300.49  25475[0:SpR:2135.1,25467.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.49  11902[0:SpL:5744.1,11888.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> SkP0(w,u)*.
% 299.83/300.49  25586[0:SpL:5744.1,25570.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> SkP0(u,w)*.
% 299.83/300.49  64790[0:SpR:5744.1,64662.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.83/300.49  25478[0:SpR:5744.1,25467.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.49  26255[0:SpR:5744.1,26080.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.49  73722[2:SpL:12589.1,73427.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  25612[0:SpR:13147.1,25608.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> SkP0(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)*.
% 299.83/300.49  17538[0:SpR:13147.1,11915.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> SkP0(v,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.49  53874[2:SpL:13147.1,53861.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.49  53875[2:SpL:13147.1,53872.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.49  73721[2:SpL:12874.1,73427.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  25456[0:SpR:2135.1,25447.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.49  25393[0:SpL:5744.1,25381.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> SkP0(w,u)*.
% 299.83/300.49  25406[0:SpL:5744.1,25382.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> SkP0(u,w)*.
% 299.83/300.49  25374[0:Res:1640.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,u))*.
% 299.83/300.49  25459[0:SpR:5744.1,25447.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.49  25376[0:Res:1640.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> .
% 299.83/300.49  61118[4:Res:42157.0,1641.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.49  73647[2:SpL:12589.1,73425.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  25419[0:SpR:13147.1,25416.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> SkP0(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)*.
% 299.83/300.49  20735[0:SpR:13147.1,20725.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> SkP0(v,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.49  53679[2:SpL:13147.1,53623.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.49  53680[2:SpL:13147.1,53634.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.49  73646[2:SpL:12874.1,73425.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  28396[0:SpL:2170.1,28333.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> .
% 299.83/300.49  25474[0:SpL:13147.1,25468.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.49  24905[0:SpL:13412.1,14860.1] || equal(u,v) equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(w,u),v)* -> .
% 299.83/300.49  20503[0:SpR:2170.1,19575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  20718[0:SpR:2170.1,20513.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  16651[0:SpL:12260.1,12169.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.49  17234[0:SpL:12435.1,12364.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.49  17566[0:SpL:13147.1,12522.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.49  17715[0:SpL:13680.1,13563.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.49  14397[0:SpR:5744.1,12135.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  14464[0:SpR:5744.1,12334.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  14516[0:SpR:5744.1,12491.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  14580[0:SpR:5744.1,14395.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  12733[0:Rew:12519.0,2248.1] || equal(u,v)* equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.83/300.49  12734[0:Rew:12519.0,2215.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,v)*.
% 299.83/300.49  12735[0:Rew:12519.0,2155.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(u,v)* -> equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.83/300.49  12666[0:Rew:12519.0,11776.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.49  5831[0:SpR:5744.1,2170.1] || equal(u,v)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v)* -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  16655[0:SpL:12260.1,11519.0] || equal(skf60(u),v)* equal(skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint))* -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.49  17240[0:SpL:12435.1,11519.0] || equal(skf57(u),v)* equal(skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint))* -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.49  17617[0:SpL:13147.1,11519.0] || equal(skf48(u),v)* equal(skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint))* -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.49  17741[0:SpL:13680.1,11519.0] || equal(skf47(u),v)* equal(skf47(u),c_Groups_Oone__class_Oone(tc_Int_Oint))* -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.49  75039[0:SpR:601.0,29832.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.83/300.49  29816[0:SpR:601.0,16179.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.83/300.49  24345[0:SpR:12260.1,24288.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.49  5930[0:SpR:5744.1,4986.0] || equal(u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.49  4505[0:SpR:2170.1,3549.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  7383[0:SpR:2170.1,7330.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  24529[0:SpR:2170.1,24439.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(v,hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.49  4498[0:SpR:2170.1,3537.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  4475[0:SpR:2170.1,3536.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  5883[0:SpR:5744.1,4017.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.83/300.49  7287[0:SpL:2070.1,7041.0] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> hBOOL(u).
% 299.83/300.49  18090[0:SpL:3749.0,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),v)** -> .
% 299.83/300.49  18105[0:SpL:3654.0,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(v,u),hAPP(c_Int_Onat,v))* -> .
% 299.83/300.49  3354[0:SpL:2170.1,2537.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.49  5260[0:SpR:2170.1,5169.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.83/300.49  6864[0:SpR:2170.1,5840.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(u,skf48(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  8252[0:SpR:5744.1,8229.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  11539[0:SSi:11535.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)*.
% 299.83/300.49  11739[0:SpR:2170.1,11299.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,skf64(v))))*.
% 299.83/300.49  14400[0:SpR:5744.1,12135.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.83/300.49  14415[0:SpR:5744.1,12146.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf60(v)))*.
% 299.83/300.49  14467[0:SpR:5744.1,12334.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.83/300.49  14474[0:SpR:5744.1,12345.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf57(v)))*.
% 299.83/300.49  14519[0:SpR:5744.1,12491.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.83/300.49  14559[0:SpR:5744.1,12502.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf48(v)))*.
% 299.83/300.49  14583[0:SpR:5744.1,14395.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.83/300.49  14590[0:SpR:5744.1,14413.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf47(v)))*.
% 299.83/300.49  25840[0:SpR:5744.1,25816.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.49  25915[0:SpR:5744.1,25812.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf48(v)))*.
% 299.83/300.49  25936[0:SpR:5744.1,25813.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf57(v)))*.
% 299.83/300.49  25962[0:SpR:5744.1,25814.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf60(v)))*.
% 299.83/300.49  25979[0:SpR:5744.1,25815.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf47(v)))*.
% 299.83/300.49  26298[0:SpR:2170.1,26072.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  2335[0:SpL:2170.1,333.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v))* -> SkP1(c_Int_Onat,u,v)*.
% 299.83/300.49  2401[0:SpL:2170.1,334.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v))* -> SkP2(c_Int_Onat,u,v)*.
% 299.83/300.49  23007[4:SpR:2170.1,22559.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(c_Int_Onat__aux(u,skf64(v))))*.
% 299.83/300.49  26049[0:SpR:2170.1,26032.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  58729[2:SpR:5744.1,58011.1] || equal(u,v)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)))*.
% 299.83/300.49  63092[0:SpR:2170.1,63055.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  64819[0:SpL:5744.1,64775.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf64(v)))),u))* -> .
% 299.83/300.49  73726[4:SpL:5744.1,73456.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  74207[0:SpR:5744.1,74160.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.83/300.49  74238[0:SpR:5744.1,74161.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.83/300.49  74261[0:SpR:5744.1,74162.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.83/300.49  74356[0:SpR:5744.1,74163.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.83/300.49  74899[0:Rew:1878.0,74857.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.49  73732[4:SpL:12589.1,73456.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.49  25919[0:SpR:5744.1,25812.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  25940[0:SpR:5744.1,25813.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  25966[0:SpR:5744.1,25814.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  25983[0:SpR:5744.1,25815.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  16652[0:SpL:12260.1,14260.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> .
% 299.83/300.49  17236[0:SpL:12435.1,14259.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> .
% 299.83/300.49  17567[0:SpL:13147.1,14258.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> .
% 299.83/300.49  17716[0:SpL:13680.1,14261.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> .
% 299.83/300.49  73731[4:SpL:12874.1,73456.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  14418[0:SpR:5744.1,12146.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  14477[0:SpR:5744.1,12345.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  14562[0:SpR:5744.1,12502.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  14593[0:SpR:5744.1,14413.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.49  8254[0:SpR:5744.1,8229.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.49  48274[4:MRR:48273.0,8759.0] ||  -> hBOOL(hAPP(c_Int_Onat,u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)**.
% 299.83/300.49  17543[0:SpR:13147.1,5629.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.49  12718[0:Rew:12519.0,9249.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf48(c_fequal(v)))* -> equal(skf64(u),v)*.
% 299.83/300.49  12719[0:Rew:12519.0,9231.2] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf64(u),v)* -> equal(u,skf48(c_fequal(v)))*.
% 299.83/300.49  14817[0:SpR:12545.1,3749.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u)),c_Int_Onat__aux(u,v))**.
% 299.83/300.49  14842[0:SpL:12545.1,3629.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),skf64(u)))* -> .
% 299.83/300.49  14847[0:SpL:12545.1,3633.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf64(u))** -> .
% 299.83/300.49  22589[0:SpL:18347.0,14860.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf50(c_Int_Onat__aux(u,skf64(v))),skf50(skf64(v)))** -> .
% 299.83/300.49  26340[0:SpR:12545.1,26285.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))))*.
% 299.83/300.49  29880[0:SpL:9234.1,16430.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u))* -> .
% 299.83/300.49  9253[0:SpL:8904.1,7194.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> hBOOL(skf64(u)).
% 299.83/300.49  20783[8:SpL:12545.1,20591.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(skf64(u)).
% 299.83/300.49  9235[0:SpR:8904.1,2332.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(skf64(u),v))* -> SkP1(c_Int_Onat,u,v).
% 299.83/300.49  9236[0:SpR:8904.1,2398.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(skf64(u),v))* -> SkP2(c_Int_Onat,u,v).
% 299.83/300.49  22961[4:SpR:12545.1,22551.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u),skf50(c_Int_Onat__aux(u,skf64(v))))*.
% 299.83/300.49  6307[0:SpL:5744.1,4192.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,skf60(v)))*.
% 299.83/300.49  25817[0:SpR:12545.1,12860.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.49  26277[0:SpR:12545.1,26052.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))))*.
% 299.83/300.49  14829[0:SpR:12545.1,9514.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),c_Int_Onat__aux(u,skf64(v))))*.
% 299.83/300.49  63140[0:SpR:12545.1,63096.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))))*.
% 299.83/300.49  18100[0:SpL:6450.1,14860.1] || equal(u,v)* equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(c_Int_Onat__aux(u,w),w)** -> .
% 299.83/300.49  44783[2:SpR:12545.1,41031.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u)*.
% 299.83/300.49  45018[2:SpR:12545.1,42548.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u)*.
% 299.83/300.49  47360[0:Rew:47359.2,9240.2] class_Rings_Oring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,skf64(v)),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.49  53694[2:Res:53622.0,786.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.49  77279[0:Res:587.1,38551.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)** -> .
% 299.83/300.49  55627[0:Res:55294.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.49  77567[0:Res:587.1,38559.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)** -> .
% 299.83/300.49  45594[0:Res:26124.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.49  55078[0:Res:54122.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.49  77645[0:Res:587.1,39778.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)** -> .
% 299.83/300.49  45595[0:Res:26189.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.49  61123[4:Res:42157.0,12380.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.49  62896[4:Res:61109.1,12380.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.49  16540[0:SpR:5744.1,16418.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v))*.
% 299.83/300.49  24401[0:SpR:12260.1,24291.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v) -> SkP1(w,skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.49  17205[0:SpR:12435.1,12335.0] || equal(skf57(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w),w)**.
% 299.83/300.49  17225[0:SpR:12435.1,12260.1] || equal(skf57(u),v)* equal(skf60(w),v)* -> equal(skf60(w),skf57(u))*.
% 299.83/300.49  17238[2:SpL:12435.1,16758.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  17242[0:SpL:12435.1,12261.0] || equal(skf57(u),v)* equal(skf60(w),skf57(u))* -> equal(skf60(w),v)*.
% 299.83/300.49  17247[0:SSi:17230.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* equal(v,w)* -> equal(skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  17248[0:SSi:17244.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* equal(skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(v,w)*.
% 299.83/300.49  17657[0:SpL:12435.1,13148.0] || equal(skf57(u),v)* equal(skf48(w),skf57(u))* -> equal(skf48(w),v)*.
% 299.83/300.49  17763[0:SpL:12435.1,13681.0] || equal(skf57(u),v)* equal(skf47(w),skf57(u))* -> equal(skf47(w),v)*.
% 299.83/300.49  27549[8:SpL:12435.1,27461.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  28465[4:SpL:12435.1,28428.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fNot))** -> .
% 299.83/300.49  28688[0:SpR:5744.1,28558.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.49  28872[0:SpR:5744.1,28643.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(w)))*.
% 299.83/300.49  29049[0:SpR:5744.1,28678.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.49  29066[0:SpR:5744.1,28679.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.49  29125[0:SpR:5744.1,28716.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf60(w)))*.
% 299.83/300.49  29193[0:SpR:5744.1,28746.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf47(w)))*.
% 299.83/300.49  17078[0:SpL:5744.1,12380.0] || equal(skf57(u),v)* hBOOL(hAPP(w,v))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.49  51752[4:SpL:12435.1,51617.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf46(c_Int_Onat))** -> .
% 299.83/300.49  73828[4:SpL:5744.1,73458.0] || equal(skf57(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  74901[0:Rew:1878.0,74867.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))))* -> .
% 299.83/300.49  73833[4:SpL:12874.1,73458.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  70218[8:SpL:10150.1,70214.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),v)* equal(v,skf57(c_Int_Onat))* -> .
% 299.83/300.49  28876[0:SpR:5744.1,28643.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.49  29026[0:SpR:5744.1,28677.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.49  29129[0:SpR:5744.1,28716.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.49  29197[0:SpR:5744.1,28746.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.49  28684[0:SpR:5744.1,28558.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf57(w)))*.
% 299.83/300.49  29022[0:SpR:5744.1,28677.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf57(w)))*.
% 299.83/300.49  29045[0:SpR:5744.1,28678.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf57(w)))*.
% 299.83/300.49  29062[0:SpR:5744.1,28679.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf57(w)))*.
% 299.83/300.49  17267[0:SSi:17262.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf57(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf57(w),u)*.
% 299.83/300.49  17226[0:SpR:12435.1,12435.1] || equal(skf57(u),v)* equal(skf57(w),v)* -> equal(skf57(w),skf57(u))*.
% 299.83/300.49  17258[0:SpL:12435.1,12436.0] || equal(skf57(u),v)* equal(skf57(w),skf57(u))* -> equal(skf57(w),v)*.
% 299.83/300.49  17259[0:SpL:12260.1,12436.0] || equal(skf60(u),v)* equal(skf57(w),skf60(u))* -> equal(skf57(w),v)*.
% 299.83/300.49  17557[0:SpR:13147.1,12435.1] || equal(skf48(u),v)* equal(skf57(w),v)* -> equal(skf57(w),skf48(u))*.
% 299.83/300.49  17620[0:SpL:13147.1,12436.0] || equal(skf48(u),v)* equal(skf57(w),skf48(u))* -> equal(skf57(w),v)*.
% 299.83/300.49  17704[0:SpR:13680.1,12435.1] || equal(skf47(u),v)* equal(skf57(w),v)* -> equal(skf57(w),skf47(u))*.
% 299.83/300.49  17744[0:SpL:13680.1,12436.0] || equal(skf47(u),v)* equal(skf57(w),skf47(u))* -> equal(skf57(w),v)*.
% 299.83/300.49  73745[4:SpL:5744.1,73457.0] || equal(skf60(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  73852[4:SpL:5744.1,73459.0] || equal(skf48(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  73556[0:SpL:13147.1,73420.0] || equal(skf48(c_COMBI(u)),v)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  66551[8:SpL:13412.1,66482.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf48(c_fequal(c_Int_Onat__aux(skf47(c_Int_Onat),u))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  66483[8:Rew:15222.0,66450.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.83/300.49  66362[8:SpR:49088.0,61143.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat)))))*.
% 299.83/300.49  66440[8:SpL:49088.0,18191.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))** -> .
% 299.83/300.49  66342[8:SpR:49088.0,7319.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  66341[8:SpR:49088.0,2750.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  66398[8:SpR:49088.0,18152.0] ||  -> SkP1(u,c_Int_Onat__aux(v,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(v,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.49  66449[8:SpL:49088.0,10149.0] || equal(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(skf50(u),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.83/300.49  50366[8:SpL:13412.1,49187.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))* -> .
% 299.83/300.49  50457[8:SpL:13412.1,50365.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))* -> .
% 299.83/300.49  50346[8:SpL:2135.1,49472.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),u)* equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  66384[8:SpR:49088.0,2493.1] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))) -> SkP1(v,u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.49  66436[8:SpL:49088.0,2129.1] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))) equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* -> .
% 299.83/300.49  73557[0:SpL:13147.1,73420.0] || equal(skf48(c_fequal(skf48(c_COMBI(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.83/300.49  73619[4:SpL:13147.1,73451.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> hBOOL(u).
% 299.83/300.49  73750[4:SpL:12874.1,73457.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  73857[4:SpL:12874.1,73459.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  27533[8:SpL:12260.1,27460.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  27555[8:SpL:13147.1,27462.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  66561[8:SpL:12874.1,66482.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  49243[8:MRR:49175.2,24948.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  50355[8:SpR:6450.1,49086.0] || equal(u,skf47(c_Int_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(u,v))*.
% 299.83/300.49  50369[8:SpL:6450.1,49187.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,skf64(v)),skf62(c_Int_Onat,skf47(c_Int_Onat)))* -> .
% 299.83/300.49  50460[8:SpL:6450.1,50365.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))* -> .
% 299.83/300.49  66556[8:SpL:6450.1,66482.0] || equal(u,skf47(c_Int_Onat)) equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  61133[4:Res:42157.0,16218.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.49  62906[4:Res:61109.1,16218.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.49  16582[0:SpR:5744.1,16420.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v))*.
% 299.83/300.49  24437[0:SpR:12260.1,24293.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v) -> SkP1(w,skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.49  74903[0:Rew:1878.0,74869.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))))* -> .
% 299.83/300.49  73876[4:SpL:12874.1,73460.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  17684[0:SpR:13680.1,13757.0] || equal(skf47(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w),w)**.
% 299.83/300.49  17703[0:SpR:13680.1,12260.1] || equal(skf47(u),v)* equal(skf60(w),v)* -> equal(skf60(w),skf47(u))*.
% 299.83/300.49  17705[0:SpR:13680.1,13147.1] || equal(skf47(u),v)* equal(skf48(w),v)* -> equal(skf48(w),skf47(u))*.
% 299.83/300.49  17718[2:SpL:13680.1,16760.0] || equal(skf47(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  17743[0:SpL:13680.1,12261.0] || equal(skf47(u),v)* equal(skf60(w),skf47(u))* -> equal(skf60(w),v)*.
% 299.83/300.49  17745[0:SpL:13680.1,13148.0] || equal(skf47(u),v)* equal(skf48(w),skf47(u))* -> equal(skf48(w),v)*.
% 299.83/300.49  17750[0:SSi:17710.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* equal(v,w)* -> equal(skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  17751[0:SSi:17747.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* equal(skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(v,w)*.
% 299.83/300.49  27578[8:SpL:13680.1,27463.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf47(c_Int_Onat))** -> .
% 299.83/300.49  28522[4:SpL:13680.1,28430.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fNot))** -> .
% 299.83/300.49  28757[0:SpR:5744.1,28560.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.49  29004[0:SpR:5744.1,28645.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(w)))*.
% 299.83/300.49  29179[0:SpR:5744.1,28718.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf60(w)))*.
% 299.83/300.49  29446[0:SpR:5744.1,28747.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.49  21001[0:SpL:5744.1,16218.0] || equal(skf47(u),v)* hBOOL(hAPP(w,v))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.49  51785[4:SpL:13680.1,51619.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf46(c_Int_Onat))** -> .
% 299.83/300.49  73871[4:SpL:5744.1,73460.0] || equal(skf47(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),skf47(c_Int_Onat))** -> .
% 299.83/300.49  17578[3:SpL:13147.1,6558.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_fNot))** -> hBOOL(u).
% 299.83/300.49  29008[0:SpR:5744.1,28645.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.49  29183[0:SpR:5744.1,28718.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.49  29462[0:SpR:5744.1,28748.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.49  28753[0:SpR:5744.1,28560.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf47(w)))*.
% 299.83/300.49  29442[0:SpR:5744.1,28747.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf47(w)))*.
% 299.83/300.49  29458[0:SpR:5744.1,28748.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf47(w)))*.
% 299.83/300.49  17772[0:SSi:17767.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf47(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf47(w),u)*.
% 299.83/300.49  17706[0:SpR:13680.1,13680.1] || equal(skf47(u),v)* equal(skf47(w),v)* -> equal(skf47(w),skf47(u))*.
% 299.83/300.49  17761[0:SpL:13680.1,13681.0] || equal(skf47(u),v)* equal(skf47(w),skf47(u))* -> equal(skf47(w),v)*.
% 299.83/300.49  17762[0:SpL:13147.1,13681.0] || equal(skf48(u),v)* equal(skf47(w),skf48(u))* -> equal(skf47(w),v)*.
% 299.83/300.49  17764[0:SpL:12260.1,13681.0] || equal(skf60(u),v)* equal(skf47(w),skf60(u))* -> equal(skf47(w),v)*.
% 299.83/300.49  24947[0:SpL:13412.1,4336.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(c_Int_Onat__aux(skf47(c_Nat_OSuc),u))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.49  7570[0:SpL:6450.1,4336.0] || equal(skf47(c_Nat_OSuc),u) hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.49  53238[8:SpL:10150.1,51601.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),v)* equal(skf46(c_Int_Onat),v) -> .
% 299.83/300.49  51684[4:SpL:12260.1,51616.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf46(c_Int_Onat))** -> .
% 299.83/300.49  51758[4:SpL:13147.1,51618.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf46(c_Int_Onat))** -> .
% 299.83/300.49  47605[8:MRR:47593.1,19248.0] || equal(hAPP(c_Nat_OSuc,skf62(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.83/300.49  47604[8:MRR:47595.1,19248.0] || equal(skf48(c_fequal(skf62(c_Int_Onat,u))),skf48(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.83/300.49  73312[2:SSi:73279.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.49  73311[2:SSi:73270.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.49  72533[2:SpR:10150.1,71832.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf50(u))),skf50(u))**.
% 299.83/300.49  72372[0:SpR:10150.1,71754.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf50(u))),skf50(u))**.
% 299.83/300.49  14759[0:SpL:9385.1,12416.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(v,u)),skf50(u)))* -> .
% 299.83/300.49  11224[0:SpL:9385.1,334.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(u,v)) -> SkP2(c_Nat_OSuc,skf50(u),v)*.
% 299.83/300.49  28386[0:SpL:9385.1,28333.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf50(u))** -> .
% 299.83/300.49  24630[0:SpR:9385.1,23842.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf50(v),skf50(u)) -> SkP1(w,v,u)*.
% 299.83/300.49  10272[0:SpL:10150.1,2145.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(v,skf50(u))* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* -> .
% 299.83/300.49  10389[0:SpL:10150.1,9533.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(v,skf50(u))* equal(skf64(w),v)* -> .
% 299.83/300.49  11189[4:SpR:9385.1,8782.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(v,skf50(u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,u)*.
% 299.83/300.49  10203[0:SpR:10150.1,294.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf50(u)),skf50(u))**.
% 299.83/300.49  10202[0:SpR:10150.1,293.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf50(u)),v),skf50(u))**.
% 299.83/300.49  10201[0:SpR:10150.1,307.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),v),skf50(u))**.
% 299.83/300.49  27364[0:SpR:10150.1,27252.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  11182[0:SpR:9385.1,5744.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf50(u),v)* -> equal(hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.49  19835[8:SpL:10150.1,19315.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(v,skf48(c_fNot)) equal(skf50(u),v)* -> .
% 299.83/300.49  10230[0:SpR:10150.1,10150.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(skf50(u),skf50(v))*.
% 299.83/300.49  10204[0:SpR:10150.1,5412.1] class_Rings_Oring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,skf50(v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.49  10205[0:SpR:10150.1,303.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,skf50(v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.49  51674[0:MRR:51643.3,8808.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  23520[0:SpL:20457.1,333.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.49  23519[0:SpL:20457.1,334.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.49  51741[0:MRR:51714.3,1957.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  8284[0:SpL:5412.1,435.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  51742[0:MRR:51713.3,38531.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  23504[0:SpR:20457.1,5744.1] class_Rings_Oring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.49  52043[0:MRR:52019.2,253.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.83/300.49  27983[0:Res:19039.1,3739.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))*.
% 299.83/300.49  28141[0:Res:19039.1,3740.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),x))*.
% 299.83/300.49  24604[0:SpR:12874.1,23769.0] || equal(skf50(u),v)* -> SkP0(w,skf48(c_fequal(v)))* SkP1(x,u,skf64(y))*.
% 299.83/300.49  24619[0:SpR:12874.1,24608.0] || equal(skf50(u),v)* -> SkP0(w,skf48(c_fequal(v)))* SkP1(x,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.49  20899[0:SpR:12874.1,19085.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.49  23222[0:SpR:12874.1,19039.0] || equal(u,v)* -> SkP0(w,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.83/300.49  28951[0:Res:19039.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(v)))* equal(u,v).
% 299.83/300.49  24780[0:SpR:13412.1,19615.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(x,c_Int_Onat__aux(y,u)))))*.
% 299.83/300.49  24754[0:SpR:13412.1,19615.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* -> SkP0(x,skf48(c_fequal(c_Int_Onat__aux(y,u))))*.
% 299.83/300.49  23366[0:SpR:12874.1,19615.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),x)* -> SkP0(y,skf48(c_fequal(x)))*.
% 299.83/300.49  4589[0:Rew:354.1,4579.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.83/300.49  51104[0:Rew:443.1,51002.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))* -> hBOOL(v)*.
% 299.83/300.49  54439[0:Rew:443.1,54060.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(v)* -> hBOOL(skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))*.
% 299.83/300.49  4642[0:Rew:365.1,4632.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.83/300.49  4687[0:Rew:363.1,4677.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.83/300.49  4730[0:Rew:351.1,4720.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.83/300.49  5886[0:SpR:5744.1,310.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))*.
% 299.83/300.49  5958[0:SpR:5744.1,309.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),v))*.
% 299.83/300.49  20539[0:SpL:364.1,586.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  20542[0:SpL:402.1,586.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  22913[0:Rew:813.1,22845.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.49  4494[0:Rew:355.1,4484.2] class_Groups_Omonoid__add(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.83/300.49  4569[0:Rew:359.1,4559.2] class_Groups_Omonoid__mult(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.83/300.49  20540[0:SpL:361.1,586.1] class_Groups_Omonoid__mult(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  4537[0:Rew:360.1,4527.2] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.83/300.49  20541[0:SpL:362.1,586.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.49  43016[4:Res:41857.1,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(hAPP(c_Nat_OSuc,u),v)))* -> hBOOL(hAPP(c_Nat_OSuc,u)).
% 299.83/300.49  3274[0:SpR:316.1,2370.1] || equal(u,v)* hBOOL(u)* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.49  61074[4:Res:42157.0,650.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.83/300.49  3285[0:SpR:316.1,2436.1] || equal(u,v)* hBOOL(u)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.49  56595[0:SpR:13147.1,56586.0] || equal(skf48(c_fequal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.49  29385[4:MRR:29243.0,8759.0] || equal(u,skf48(c_fequal(v)))* -> SkP0(hAPP(c_Int_Onat,u),w)* hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.49  19584[6:SpR:10413.1,18992.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP0(skf50(u),w)*.
% 299.83/300.49  19731[0:SpR:13147.1,19067.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* SkP1(x,u,y)*.
% 299.83/300.49  56601[0:SpR:13147.1,56585.0] || equal(skf48(c_fequal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.49  29384[4:MRR:29241.0,8759.0] || equal(u,skf48(c_fequal(v)))* -> SkP0(w,hAPP(c_Int_Onat,u))* hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.49  19597[7:SpR:10413.1,19029.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP0(w,skf50(u))*.
% 299.83/300.49  19634[0:SpR:13147.1,19176.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))),w)* -> SkP0(x,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  64469[2:MRR:64369.1,220.0] || equal(u,skf49(c_fNot)) SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.49  77823[16:SSi:77818.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.49  16753[2:SpL:12260.1,16590.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  17569[2:SpL:13147.1,16759.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.49  57745[2:Res:52901.1,820.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.49  74667[2:SSi:74640.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.49  20451[2:SSi:20436.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.49  58746[2:SSi:58744.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.49  73226[2:SpR:5744.1,72120.0] || equal(u,v) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))))*.
% 299.83/300.49  28654[0:SpR:5744.1,28557.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.49  28727[0:SpR:5744.1,28559.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.49  28913[0:SpR:5744.1,28644.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.49  29159[0:SpR:5744.1,28717.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.49  74005[0:SSi:73940.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),u))*.
% 299.83/300.49  74006[0:SSi:73941.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),u))*.
% 299.83/300.49  64449[2:Rew:1878.0,64296.1] || equal(u,skf49(c_fNot)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  6857[0:SpR:5744.1,5840.1] || equal(u,v)* equal(u,skf48(c_Int_Onat))* -> hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))*.
% 299.83/300.49  38593[0:Res:540.1,38533.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),u).
% 299.83/300.49  7247[2:SpL:5744.1,6914.0] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u)*.
% 299.83/300.49  12913[0:Rew:12519.0,12621.1] || equal(u,v)* equal(skf48(c_fequal(skf48(c_fequal(v)))),skf48(c_Int_Onat))** -> hBOOL(u)*.
% 299.83/300.49  20774[8:SpL:12874.1,20591.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u)*.
% 299.83/300.49  58734[2:SpL:5744.1,58485.0] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u)*.
% 299.83/300.49  61434[4:SpL:2135.1,43033.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf55(u,w)))* -> hBOOL(u).
% 299.83/300.49  6719[0:SpR:5744.1,5837.1] || equal(u,v)* equal(u,skf48(c_fNot))* -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v)))*.
% 299.83/300.49  29361[0:Res:5837.1,12641.0] || equal(u,skf48(c_fNot)) equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.49  6969[0:SpR:5744.1,6728.1] || equal(u,v)* equal(skf48(c_fequal(u)),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.49  6729[0:SpR:5744.1,5837.1] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.49  51035[0:Res:395.2,50956.0] hBOOL(u) hBOOL(skf46(hAPP(c_fconj,u))) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),v))*.
% 299.83/300.49  17619[0:SpL:13147.1,12261.0] || equal(skf48(u),v)* equal(skf60(w),skf48(u))* -> equal(skf60(w),v)*.
% 299.83/300.49  17658[0:SpL:12260.1,13148.0] || equal(skf60(u),v)* equal(skf48(w),skf60(u))* -> equal(skf48(w),v)*.
% 299.83/300.49  16989[0:SpL:12260.1,12261.0] || equal(skf60(u),v)* equal(skf60(w),skf60(u))* -> equal(skf60(w),v)*.
% 299.83/300.49  17656[0:SpL:13147.1,13148.0] || equal(skf48(u),v)* equal(skf48(w),skf48(u))* -> equal(skf48(w),v)*.
% 299.83/300.49  16497[0:Res:539.0,2478.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u)))* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.49  20786[8:SpL:5744.1,20591.0] || equal(skf48(c_fequal(u)),v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u).
% 299.83/300.49  20582[8:SpR:5744.1,19779.1] || equal(u,v)* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.49  56164[0:Res:540.1,55085.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))))* equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),u).
% 299.83/300.49  58731[4:SpR:5744.1,58434.1] || equal(u,v)* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* -> hBOOL(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)))*.
% 299.83/300.49  76104[0:SpR:3704.0,18644.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v))))*.
% 299.83/300.49  76103[0:SpR:3703.0,18644.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.49  30191[0:SpR:3690.1,18644.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.83/300.49  24715[0:SpR:13412.1,18125.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(w,u)))*.
% 299.83/300.49  18218[0:SpL:15222.0,1908.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.49  79812[2:SpR:5744.1,79634.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.83/300.49  53583[2:SoR:6731.0,52288.1] || equal(u,skf48(c_fNot)) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))* -> .
% 299.83/300.49  79830[2:SpR:5744.1,79635.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.83/300.49  74902[0:Rew:1878.0,74868.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))))* -> .
% 299.83/300.49  74900[0:Rew:1878.0,74866.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))))* -> .
% 299.83/300.49  64448[2:Rew:1878.0,64295.1] || equal(u,skf49(c_fNot)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  79667[2:SpR:13147.1,79632.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.49  79808[2:SpR:13147.1,79633.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.49  24546[0:Rew:10199.1,24537.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.49  5931[0:SpR:5744.1,5017.0] || equal(u,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.49  24346[0:SpR:12260.1,24289.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.49  67725[15:SSi:67682.0,107.0] class_Int_Oring__char__0(t_a) || equal(v_cs____,u) -> equal(hAPP(c_Polynomial_Opoly(t_a,u),v),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.83/300.49  13289[0:SpR:12874.1,11296.0] || equal(skf64(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.83/300.49  27835[0:Rew:3757.0,27816.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.83/300.49  24761[0:SpR:13412.1,9514.0] || equal(u,skf64(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.83/300.49  75500[0:SpL:3705.1,18201.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.49  20390[0:SpL:2135.1,18661.0] || equal(c_Int_Onat__aux(u,skf64(v)),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.49  24931[0:SpL:13412.1,18661.0] || equal(u,skf64(v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.49  21838[0:Res:1608.1,21720.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u).
% 299.83/300.49  21291[0:Res:1608.1,21243.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u).
% 299.83/300.49  20392[0:SpL:5744.1,18661.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,skf64(w))),u))* -> .
% 299.83/300.49  15004[0:SpL:3753.0,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,u)))* -> .
% 299.83/300.49  46177[0:SpR:12953.0,313.1] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),skf48(c_fequal(u)))**.
% 299.83/300.49  5779[0:SpR:5744.1,322.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.83/300.49  5786[0:SpR:5744.1,322.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.83/300.50  20115[0:SpL:5744.1,18225.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  5881[0:SpR:5744.1,347.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),v)**.
% 299.83/300.50  24919[0:SpL:13412.1,18225.0] || equal(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))* equal(c_Int_Onat__aux(w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  42364[0:SpL:687.1,462.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.50  3102[0:Rew:2544.0,3077.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.50  69920[0:SpL:13412.1,69878.0] || equal(u,skf64(v))* equal(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  69914[0:SpL:12874.1,69878.0] || equal(skf64(u),v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  24710[0:SpR:13412.1,2871.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,u)))*.
% 299.83/300.50  24739[4:SpR:13412.1,18256.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  24937[0:SpL:13412.1,3163.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)),hAPP(c_Int_Onat,v))** -> .
% 299.83/300.50  24936[0:SpL:13412.1,3060.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)),hAPP(c_Int_Onat,w))** -> .
% 299.83/300.50  24740[0:SpR:13412.1,11361.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(v,hAPP(c_Int_Onat,w),c_Int_Onat__aux(x,c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  69926[0:SpL:6450.1,69878.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(c_Int_Onat__aux(u,skf64(w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  70686[0:SpR:13412.1,70663.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,u)),hAPP(c_Int_Onat,v))**.
% 299.83/300.50  71231[0:SpR:13412.1,71203.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,u)),hAPP(c_Int_Onat,v))**.
% 299.83/300.50  8285[0:SpL:303.1,435.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.50  71978[0:Rew:303.1,71977.1,293.0,71977.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  71984[0:Rew:303.1,71983.1,294.0,71983.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  56234[0:SpL:2872.0,55181.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.50  75358[4:SpR:2872.0,75342.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.83/300.50  26060[0:SpR:5744.1,26032.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.83/300.50  26103[0:SpL:13147.1,26073.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),u)* -> .
% 299.83/300.50  26309[0:SpR:5744.1,26072.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  15237[0:Rew:15222.0,8375.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  11745[0:SpR:5744.1,11299.0] || equal(c_Int_Onat__aux(u,skf64(v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.83/300.50  5834[0:SpR:5744.1,2871.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  8379[0:SpR:2872.0,7329.1] ||  -> SkP1(u,v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),v))*.
% 299.83/300.50  24719[0:SpR:13412.1,11299.0] || equal(u,skf64(v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  26292[0:SpR:5744.1,26072.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.83/300.50  26043[0:SpR:5744.1,26032.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.83/300.50  11728[0:SpR:6450.1,11299.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(u,skf64(w))))*.
% 299.83/300.50  8410[0:Rew:2872.0,8393.1] || equal(u,v) -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  5987[0:SpR:5744.1,2871.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))*.
% 299.83/300.50  28313[0:SpL:9487.0,9640.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))))),skf50(skf64(u))))* -> .
% 299.83/300.50  54986[0:MRR:54985.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))))* -> .
% 299.83/300.50  58317[4:SpR:5744.1,54406.0] || equal(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))*.
% 299.83/300.50  10643[4:MRR:10452.1,8759.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.83/300.50  74167[0:SSi:74116.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),u))*.
% 299.83/300.50  28449[4:SpL:12260.1,28427.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fNot))** -> .
% 299.83/300.50  28471[4:SpL:13147.1,28429.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fNot))** -> .
% 299.83/300.50  16595[0:SpR:12260.1,12136.0] || equal(skf60(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w),w)**.
% 299.83/300.50  17494[0:SpR:13147.1,12492.0] || equal(skf48(u),v)* -> equal(c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w),w)**.
% 299.83/300.50  47063[0:EqR:12673.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  61677[0:SpR:687.1,61619.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),skf64(v)))*.
% 299.83/300.50  12915[0:Rew:12519.0,12645.2] || equal(u,v)* equal(u,w)* -> equal(skf48(c_fequal(v)),skf48(c_fequal(w)))*.
% 299.83/300.50  29355[0:Res:5840.1,12641.0] || equal(u,skf48(c_Int_Onat)) equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.50  16670[0:SSi:16657.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* equal(skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(v,w)*.
% 299.83/300.50  17635[0:SSi:17622.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* equal(skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(v,w)*.
% 299.83/300.50  2283[0:SpR:2135.1,2135.1] || equal(u,v)* equal(v,w)* -> equal(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))*.
% 299.83/300.50  5793[0:SpR:5744.1,5744.1] || equal(u,v)* equal(v,w)* -> equal(hAPP(x,w),hAPP(x,u))*.
% 299.83/300.50  25097[4:SpR:13412.1,24689.1] || equal(u,v)* equal(v,w)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,c_Int_Onat__aux(x,u))*.
% 299.83/300.50  2296[0:SpL:2135.1,336.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(w,v)* -> .
% 299.83/300.50  5800[0:SpR:5744.1,325.1] || equal(u,v)* equal(w,v)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))*.
% 299.83/300.50  6259[0:SpL:5744.1,331.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* equal(w,v)* -> .
% 299.83/300.50  24693[0:SpR:13412.1,13412.1] || equal(u,v)* equal(w,v)* -> equal(c_Int_Onat__aux(x,u),c_Int_Onat__aux(x,w))*.
% 299.83/300.50  17634[0:SSi:17562.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* equal(v,w)* -> equal(skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.50  17558[0:SpR:13147.1,13147.1] || equal(skf48(u),v)* equal(skf48(w),v)* -> equal(skf48(w),skf48(u))*.
% 299.83/300.50  16668[0:SSi:16647.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* equal(v,w)* -> equal(skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.50  16643[0:SpR:12260.1,12260.1] || equal(skf60(u),v)* equal(skf60(w),v)* -> equal(skf60(w),skf60(u))*.
% 299.83/300.50  17556[0:SpR:13147.1,12260.1] || equal(skf48(u),v)* equal(skf60(w),v)* -> equal(skf60(w),skf48(u))*.
% 299.83/300.50  12063[0:SpR:10413.1,10413.1] || equal(u,skf64(v))* equal(w,skf64(v))* -> equal(skf50(w),skf50(u))*.
% 299.83/300.50  24205[0:SpR:10413.1,12080.1] || equal(u,skf64(v))* equal(w,skf64(v))* -> SkP1(x,skf50(u),w)*.
% 299.83/300.50  7499[0:SpR:6450.1,6450.1] || equal(u,v)* equal(w,u)* -> equal(c_Int_Onat__aux(w,x),c_Int_Onat__aux(v,x))*.
% 299.83/300.50  21139[0:SpR:5744.1,16882.1] || equal(u,v)* equal(w,u)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))*.
% 299.83/300.50  9361[4:SpR:5744.1,8782.1] || equal(u,v)* equal(w,u)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  63682[0:SpR:2135.1,56401.1] || equal(u,v)* equal(w,u)* -> SkP1(x,w,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))*.
% 299.83/300.50  28382[0:SpL:5744.1,28333.0] || equal(u,v) equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))),u)* -> .
% 299.83/300.50  24626[0:SpR:5744.1,23842.1] || equal(u,v)* equal(skf50(w),u)* -> SkP1(x,w,hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  12078[0:SpL:10413.1,9534.0] || equal(u,skf64(v))* equal(w,skf50(u))* equal(skf64(v),w)* -> .
% 299.83/300.50  62769[0:SpL:2135.1,55273.1] || equal(u,v)* equal(w,u)* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),w)* -> .
% 299.83/300.50  20506[0:SpR:5744.1,19575.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.83/300.50  26279[0:SpR:5744.1,26052.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.83/300.50  5981[0:SpR:5744.1,346.0] || equal(u,skf65(v,w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf66(v,w)))*.
% 299.83/300.50  46411[0:Res:16882.1,12958.0] || equal(skf48(c_fequal(u)),skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.83/300.50  46858[0:Res:325.1,3713.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.83/300.50  51036[0:Res:325.1,50956.0] || equal(skf46(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.83/300.50  57922[0:SpR:5744.1,54125.0] || equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)),v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.83/300.50  29297[0:Res:222.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))*.
% 299.83/300.50  5955[0:SpR:5744.1,346.0] || equal(u,skf66(v,w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf65(v,w)),u))*.
% 299.83/300.50  10521[0:Res:222.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v))))*.
% 299.83/300.50  71961[0:SSi:71883.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))))*.
% 299.83/300.50  61625[0:SpR:5744.1,46475.0] || equal(hAPP(c_Nat_OSuc,u),v)* -> SkP1(w,x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))*.
% 299.83/300.50  71137[0:Rew:1661.1,71049.1,1659.1,71049.1] class_Rings_Oring(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))*.
% 299.83/300.50  5921[0:SpR:5744.1,322.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.83/300.50  46675[0:SpR:272.0,3704.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u))*.
% 299.83/300.50  61853[0:SpR:5744.1,46655.0] || equal(u,v) -> SkP1(w,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,x)),v))*.
% 299.83/300.50  2026[0:SpR:276.0,322.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,u))))*.
% 299.83/300.50  46499[0:SpR:273.0,3703.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  61621[0:SpR:5744.1,46475.0] || equal(u,v) -> SkP1(w,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,x)))*.
% 299.83/300.50  61851[0:SpR:5744.1,46655.0] || equal(hAPP(c_Nat_OSuc,u),v)* -> SkP1(w,x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))*.
% 299.83/300.50  24199[0:SpR:9930.0,12060.1] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(v)) -> SkP1(w,hAPP(c_Int_Onat,u),skf64(v))*.
% 299.83/300.50  27912[0:SpR:5744.1,27897.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),v) -> SkP1(w,skf50(skf64(u)),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  11660[0:SpR:5744.1,10798.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v) -> SkP1(w,hAPP(c_Int_Onat,u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  25888[0:Res:651.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  23989[0:SpR:5744.1,23963.0] || equal(u,v) -> SkP1(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  27917[0:SpR:10413.1,27897.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.83/300.50  27909[0:SpR:5744.1,27897.0] || equal(skf64(u),v) -> SkP1(w,skf50(skf64(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  24633[0:SpR:15222.0,23842.1] || equal(skf50(u),c_Int_Onat__aux(v,w)) -> SkP1(x,u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  42261[0:MRR:42166.0,27707.0] ||  -> SkP1(u,v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))*.
% 299.83/300.50  23657[0:SpR:3753.0,22764.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf64(w))))*.
% 299.83/300.50  23996[0:SpR:15222.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,w)),x),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  11121[0:SpL:5744.1,11093.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),v)* equal(hAPP(c_Nat_OSuc,v),skf50(skf64(u)))* -> .
% 299.83/300.50  11118[0:SpL:5744.1,11093.0] || equal(skf64(u),v) equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),skf50(skf64(u)))* -> .
% 299.83/300.50  5782[0:SpR:5744.1,348.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.83/300.50  5896[0:SpR:5744.1,347.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)*.
% 299.83/300.50  18126[0:SpR:15222.0,347.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,v))**.
% 299.83/300.50  68337[0:Rew:3749.0,68302.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))*.
% 299.83/300.50  60755[0:Rew:15222.0,60742.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)))* -> .
% 299.83/300.50  25707[0:SpR:682.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))*.
% 299.83/300.50  58171[4:SpR:5744.1,54404.0] || equal(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.83/300.50  5897[0:SpR:5744.1,4392.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.50  60639[0:SpR:3762.0,348.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.83/300.50  7390[0:SpL:5744.1,6666.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Nat_OSuc,u))* -> .
% 299.83/300.50  29382[4:MRR:29226.0,8759.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))*.
% 299.83/300.50  4693[0:SpR:316.1,4392.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.50  10641[4:MRR:10429.1,8759.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v))))*.
% 299.83/300.50  10767[0:SpR:5744.1,9494.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))*.
% 299.83/300.50  2255[0:SpL:316.1,315.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,w))* -> equal(u,w)*.
% 299.83/300.50  12914[0:Rew:12519.0,12644.1] || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fequal(w)))* -> equal(u,w)*.
% 299.83/300.50  12738[0:Rew:12519.0,2172.1] || equal(u,v)* equal(skf48(c_fequal(v)),w)* -> equal(u,hAPP(c_Int_Onat,w))*.
% 299.83/300.50  61896[0:SpR:49304.1,5744.1] class_Groups_Oab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  71492[0:SpR:71409.1,5744.1] class_RealVector_Oreal__normed__algebra(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  17675[0:SSi:17661.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf48(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf48(w),u)*.
% 299.83/300.50  17004[0:SSi:16992.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf60(w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(skf60(w),u)*.
% 299.83/300.50  25150[0:SpL:13412.1,17473.0] || equal(u,v)* equal(c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,x))* -> equal(v,x)*.
% 299.83/300.50  5808[0:SpR:5744.1,313.1] class_Lattices_Oab__semigroup__idem__mult(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),w)**.
% 299.83/300.50  18137[0:SpR:15222.0,2370.1] || hBOOL(c_Int_Onat__aux(u,v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.50  61082[4:Res:42157.0,3730.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.83/300.50  62875[4:Res:61109.1,3740.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  47752[4:SpR:3757.0,15420.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,u))))*.
% 299.83/300.50  22340[4:Rew:3753.0,22287.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,u)))*.
% 299.83/300.50  20348[4:SpR:12874.1,18292.0] || equal(skf64(u),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.83/300.50  47737[4:SpR:3757.0,18259.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))*.
% 299.83/300.50  21661[0:SpR:3690.1,2523.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),v))*.
% 299.83/300.50  21713[0:SpL:3690.1,9752.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* equal(skf44(skf64(u),v),v) -> .
% 299.83/300.50  40653[0:SpR:9490.0,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.83/300.50  41212[0:Res:301.0,733.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(w,v).
% 299.83/300.50  56240[0:Res:539.1,55181.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))* equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),u).
% 299.83/300.50  42030[0:SpR:3705.1,7319.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf52(u,v)),v))*.
% 299.83/300.50  52842[0:Rew:276.0,52786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.50  52843[0:Rew:18124.0,52790.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.83/300.50  24920[0:SpL:13412.1,11444.0] || equal(u,hAPP(c_Nat_OSuc,skf64(v)))* equal(c_Int_Onat__aux(w,u),skf50(skf64(v)))* -> .
% 299.83/300.50  59322[0:SpL:5744.1,59161.0] || equal(skf51(skf64(u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),w))* -> .
% 299.83/300.50  45205[0:SpL:5744.1,42916.0] || equal(skf55(skf64(u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),w))* -> .
% 299.83/300.50  59477[0:SpL:5744.1,59315.0] || equal(skf51(skf64(u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),w))* -> .
% 299.83/300.50  45249[0:SpL:5744.1,43006.0] || equal(skf55(skf64(u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),w))* -> .
% 299.83/300.50  16121[0:SpR:6450.1,11419.0] || equal(u,skf48(c_fequal(skf64(v)))) -> SkP1(w,skf50(skf64(v)),c_Int_Onat__aux(u,x))*.
% 299.83/300.50  11473[0:SpL:6450.1,9714.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(c_Int_Onat__aux(u,w),skf50(skf64(v)))* -> .
% 299.83/300.50  43267[0:SpL:10413.1,42887.0] || equal(u,skf64(v)) equal(skf48(c_fequal(skf50(u))),skf48(c_fequal(skf64(v))))* -> .
% 299.83/300.50  43269[0:SpL:12874.1,42887.0] || equal(skf50(skf64(u)),v) equal(skf48(c_fequal(v)),skf48(c_fequal(skf64(u))))* -> .
% 299.83/300.50  27951[0:SpL:3632.0,3739.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.83/300.50  63292[0:SSi:63266.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))*.
% 299.83/300.50  27393[0:SpR:3632.0,3681.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(w,v)))*.
% 299.83/300.50  61583[4:SpL:5744.1,43048.0] || equal(skf55(u,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(u).
% 299.83/300.50  27622[0:Res:3721.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,u,c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.83/300.50  27416[0:Res:3681.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,u,c_Int_Onat__aux(skf48(c_fequal(x)),v))*.
% 299.83/300.50  5923[0:SpR:5744.1,3537.0] || equal(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.83/300.50  62907[4:SSi:62883.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  7386[0:SpR:5744.1,7330.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.50  29349[0:Res:3537.0,12641.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.50  29351[0:Res:7330.0,12641.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.50  58760[0:SpR:5744.1,58532.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.50  24265[0:SpL:5744.1,21175.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> SkP1(x,w,u)*.
% 299.83/300.50  62862[4:SpR:5744.1,61109.1] || equal(u,v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.83/300.50  16568[0:SpR:5744.1,16419.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v))*.
% 299.83/300.50  16428[0:SpR:5744.1,16274.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v))*.
% 299.83/300.50  9991[0:SpR:9487.0,1608.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(skf64(u))))*.
% 299.83/300.50  21290[0:Res:375.1,21243.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u).
% 299.83/300.50  21837[0:Res:375.1,21720.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u).
% 299.83/300.50  11285[0:SpR:5744.1,9497.0] || equal(c_Int_Onat__aux(u,skf64(v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),w))*.
% 299.83/300.50  5843[0:SpR:5744.1,3537.0] || equal(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.83/300.50  7381[0:SpR:5744.1,7330.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  12477[0:Res:520.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  12057[0:SpR:10413.1,9494.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.83/300.50  10763[0:SpR:5744.1,9494.0] || equal(skf64(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  9998[0:SpR:9487.0,382.1] || equal(skf50(skf64(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  7378[0:SpR:2135.1,7330.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))))*.
% 299.83/300.50  27995[0:Res:3537.0,3739.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u))))))*.
% 299.83/300.50  28153[0:Res:3537.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))))*.
% 299.83/300.50  27996[0:Res:7330.0,3739.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u))))))*.
% 299.83/300.50  28154[0:Res:7330.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))))*.
% 299.83/300.50  14983[0:SpR:3753.0,9497.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf64(u)))))*.
% 299.83/300.50  18214[0:SpL:15222.0,12416.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))),c_Int_Onat__aux(v,w)))* -> .
% 299.83/300.50  12058[0:SpR:10413.1,9497.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),c_Int_Onat__aux(w,skf64(v))))*.
% 299.83/300.50  24743[0:SpR:13412.1,9497.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  62898[4:Res:61109.1,12538.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  62901[4:Res:61109.1,12183.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  74549[0:SpL:9487.0,28283.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))))),skf50(skf64(u))))* -> .
% 299.83/300.50  58756[0:SpR:2135.1,58532.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  58748[0:SpR:5744.1,58532.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  58755[0:SpR:15222.0,58532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  25890[0:Res:651.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,u)) -> .
% 299.83/300.50  26721[0:Res:12935.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(skf48(c_fequal(u)),skf48(c_fequal(v))) -> .
% 299.83/300.50  29350[0:Res:3549.0,12641.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.83/300.50  27707[0:Res:3722.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,u,c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.83/300.50  27513[0:Res:3682.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,u,c_Int_Onat__aux(skf48(c_fequal(x)),v))*.
% 299.83/300.50  42006[0:SpR:3705.1,2527.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Nat_OSuc,skf52(u,v)),v)*.
% 299.83/300.50  56647[0:SSi:56640.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)) -> .
% 299.83/300.50  58522[0:SpR:5744.1,55206.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.83/300.50  62987[0:SSi:62966.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))*.
% 299.83/300.50  10775[0:SpL:5744.1,9619.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))),u))* -> .
% 299.83/300.50  10782[0:SpL:5744.1,9619.0] || equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))* -> .
% 299.83/300.50  5908[0:SpR:5744.1,3549.0] || equal(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.83/300.50  10784[0:SpL:2135.1,9619.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.83/300.50  61139[4:SSi:61102.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.83/300.50  5901[0:SpR:5744.1,3092.0] || equal(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.50  3726[0:Rew:3621.0,2815.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))* -> .
% 299.83/300.50  6291[0:SpL:5744.1,2537.0] || equal(u,hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),u))* -> .
% 299.83/300.50  7545[0:SpL:6450.1,3629.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),u))* -> .
% 299.83/300.50  11321[0:SpL:5744.1,9621.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v))),u))* -> .
% 299.83/300.50  3737[0:Rew:3621.0,2646.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> .
% 299.83/300.50  45203[0:SpL:2135.1,42916.0] || equal(skf64(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf55(skf64(u),w)))* -> .
% 299.83/300.50  59320[0:SpL:2135.1,59161.0] || equal(skf64(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf51(skf64(u),w)))* -> .
% 299.83/300.50  11342[0:SpL:2135.1,9621.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> .
% 299.83/300.50  23945[0:SpL:5744.1,9638.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> SkP1(x,w,u)*.
% 299.83/300.50  61062[4:SpR:5744.1,42157.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,w)*.
% 299.83/300.50  24915[0:SpL:13412.1,9621.0] || equal(u,hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,u)),v))* -> .
% 299.83/300.50  41914[0:MRR:41913.1,108.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.50  42029[0:SpR:3705.1,2750.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf52(u,v)),v))*.
% 299.83/300.50  59130[0:MRR:59105.2,218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))*.
% 299.83/300.50  11309[0:SpR:5744.1,9514.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.83/300.50  61438[4:SpL:5744.1,43033.0] || equal(skf55(u,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(u).
% 299.83/300.50  11704[0:SpR:5744.1,11296.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.83/300.50  23941[0:SpL:2135.1,9638.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> SkP1(x,u,w)*.
% 299.83/300.50  61058[4:SpR:2135.1,42157.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,u)*.
% 299.83/300.50  27801[0:SpL:3654.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.83/300.50  27524[0:Rew:15222.0,27517.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))),w))* -> .
% 299.83/300.50  3366[0:SpL:2135.1,2537.0] || equal(c_Int_Onat__aux(u,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> .
% 299.83/300.50  5844[0:SpR:5744.1,3549.0] || equal(u,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.83/300.50  6270[0:SpL:5744.1,2537.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),hAPP(c_Int_Onat,u)))* -> .
% 299.83/300.50  26923[0:Res:12782.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(u)),v) -> .
% 299.83/300.50  3244[0:SpR:316.1,3092.0] || equal(hAPP(c_Nat_OSuc,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  27022[0:Res:19575.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))))))))*.
% 299.83/300.50  27831[0:Res:3549.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))))*.
% 299.83/300.50  3310[0:SpR:2135.1,2871.0] || equal(hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  11301[0:SpR:6450.1,9514.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,skf64(w))))*.
% 299.83/300.50  11743[0:SpR:2135.1,11299.0] || equal(hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,skf64(w))))*.
% 299.83/300.50  11694[0:SpR:6450.1,11296.0] || equal(u,skf48(c_fequal(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(u,w)))*.
% 299.83/300.50  18247[0:Rew:15222.0,18195.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))),c_Int_Onat__aux(u,v)))* -> .
% 299.83/300.50  11305[0:SpR:2135.1,9514.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),skf64(w))))*.
% 299.83/300.50  14987[0:SpR:3753.0,9514.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,skf64(v)))))*.
% 299.83/300.50  11700[0:SpR:2135.1,11296.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(skf64(w))),u)))*.
% 299.83/300.50  27817[0:Res:11296.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),c_Int_Onat__aux(skf48(c_fequal(u)),w))))*.
% 299.83/300.50  18213[0:SpL:15222.0,9621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))),c_Int_Onat__aux(v,w)))* -> .
% 299.83/300.50  27480[0:SpR:3632.0,3682.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(w,v)))*.
% 299.83/300.50  61125[4:Res:42157.0,12538.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  61128[4:Res:42157.0,12183.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  58515[0:SpR:15222.0,55206.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  58508[0:SpR:5744.1,55206.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  58516[0:SpR:2135.1,55206.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  24779[0:SpR:13412.1,18166.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(x,c_Int_Onat__aux(y,u)))*.
% 299.83/300.50  24753[0:SpR:13412.1,18166.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* -> SkP1(x,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(y,u))*.
% 299.83/300.50  16606[0:SpR:12260.1,4935.0] || equal(skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  19003[0:SpL:551.0,333.0] || hBOOL(hAPP(hAPP(u,v),w)) -> SkP1(c_COMBC(x,y,z,u),w,v)*.
% 299.83/300.50  2344[0:SpL:308.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  61946[0:SpL:49304.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  71561[0:SpL:71409.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  15940[0:SpL:550.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> SkP1(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  2321[0:SpL:317.0,333.0] || hBOOL(hAPP(hAPP(c_Nat_OSuc,u),v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v)*.
% 299.83/300.50  2347[0:SpL:318.0,333.0] || hBOOL(hAPP(hAPP(c_Nat_OSuc,u),v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  2348[0:SpL:347.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  6268[0:SpL:5744.1,333.0] || equal(u,v)* hBOOL(hAPP(hAPP(w,u),x))* -> SkP1(w,v,x)*.
% 299.83/300.50  2351[0:SpL:313.1,333.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w)*.
% 299.83/300.50  4698[0:SpL:4392.0,333.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),v,u)*.
% 299.83/300.50  15623[0:SpL:506.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)*.
% 299.83/300.50  15725[0:SpL:505.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)*.
% 299.83/300.50  24540[0:SpR:15222.0,24439.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)))))*.
% 299.83/300.50  49740[0:SSi:49662.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.83/300.50  6300[0:SpL:5744.1,333.0] || equal(u,v)* hBOOL(hAPP(hAPP(w,x),u))* -> SkP1(w,x,v)*.
% 299.83/300.50  23981[0:SpR:13147.1,23972.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP1(w,u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  24441[0:SpR:13147.1,24313.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> SkP1(w,u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  24521[0:SpR:2135.1,24439.0] || equal(u,v) -> SkP1(w,hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  24526[0:SpR:5744.1,24439.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP1(w,hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,v))*.
% 299.83/300.50  24356[0:SpR:12260.1,24290.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v) -> SkP1(w,skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  24415[0:SpR:12260.1,24292.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v) -> SkP1(w,skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  23856[0:SpR:18149.0,23766.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(skf64(x))),c_Int_Onat__aux(v,w)))*.
% 299.83/300.50  47910[0:Rew:47909.0,23666.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(w)),skf64(x))))*.
% 299.83/300.50  15992[0:SpR:6450.1,11361.0] || equal(u,v) -> SkP1(w,hAPP(c_Int_Onat,v),c_Int_Onat__aux(x,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  24787[0:SpR:13412.1,11361.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> SkP1(w,hAPP(c_Int_Onat,v),c_Int_Onat__aux(x,u))*.
% 299.83/300.50  23881[0:SpR:12874.1,22821.0] || equal(skf64(u),v)* -> SkP1(w,hAPP(c_Nat_OSuc,x),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.83/300.50  23636[0:SpR:12874.1,22764.0] || equal(u,v) -> SkP1(w,hAPP(c_Nat_OSuc,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(x)))*.
% 299.83/300.50  23893[0:SpR:6450.1,22821.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP1(w,hAPP(c_Nat_OSuc,x),c_Int_Onat__aux(u,x))*.
% 299.83/300.50  23652[0:SpR:6450.1,22764.0] || equal(u,skf48(c_fequal(v))) -> SkP1(w,hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(u,skf64(x)))*.
% 299.83/300.50  23903[0:SpR:5744.1,22821.0] || equal(u,v) -> SkP1(w,hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(skf64(x))),u))*.
% 299.83/300.50  24776[0:SpR:13412.1,22764.0] || equal(u,skf64(v))* -> SkP1(w,hAPP(c_Nat_OSuc,x),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 299.83/300.50  16130[0:SpR:10413.1,11419.0] || equal(u,skf64(v)) -> SkP1(w,skf50(u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),x))*.
% 299.83/300.50  16111[0:SpR:12874.1,11419.0] || equal(skf64(u),v) -> SkP1(w,skf50(skf64(u)),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.83/300.50  24211[0:SpR:3749.0,18497.0] ||  -> SkP1(u,skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w)),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w))*.
% 299.83/300.50  47794[0:SpR:3757.0,11364.0] ||  -> SkP1(u,skf50(skf64(v)),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),skf64(v))))*.
% 299.83/300.50  12749[0:Rew:12519.0,5072.2] || equal(u,v)* hBOOL(hAPP(u,w))* -> SkP1(c_Int_Onat,skf48(c_fequal(v)),w)*.
% 299.83/300.50  18221[0:SpL:15222.0,333.0] || hBOOL(hAPP(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w))* -> SkP1(c_Nat_OSuc,c_Int_Onat__aux(u,v),w).
% 299.83/300.50  18321[0:SpL:495.1,333.0] class_Groups_Ozero(u) || hBOOL(v) -> SkP1(c_Polynomial_OpCons(u),skf37(u,v),skf36(u,v))*.
% 299.83/300.50  67752[15:SpL:67619.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),u)) -> SkP1(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),w,u)*.
% 299.83/300.50  76521[15:SpL:76473.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),u)) -> SkP1(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),w,u)*.
% 299.83/300.50  23045[4:SpR:18347.0,22963.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf50(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),skf64(u)))))*.
% 299.83/300.50  24745[4:SpR:13412.1,22543.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v)),skf50(c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  22940[4:SpR:10413.1,22543.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),skf50(c_Int_Onat__aux(w,skf64(v))))*.
% 299.83/300.50  61430[4:SpR:10413.1,61146.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v))))*.
% 299.83/300.50  24718[4:SpR:13412.1,18256.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.83/300.50  22952[4:SpR:12874.1,22551.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))*.
% 299.83/300.50  18160[4:SpR:15222.0,8782.1] || equal(u,c_Int_Onat__aux(v,w)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  17508[4:SpR:13147.1,8780.0] || equal(skf48(c_fequal(u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w))*.
% 299.83/300.50  22993[4:SpR:6450.1,22559.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,v),skf50(c_Int_Onat__aux(u,skf64(w))))*.
% 299.83/300.50  24722[4:SpR:13412.1,22559.0] || equal(u,skf64(v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,w),skf50(c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  18138[0:SpR:15222.0,2436.1] || hBOOL(c_Int_Onat__aux(u,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.50  22283[4:SpR:15222.0,18146.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,w)),c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.50  22296[4:SpR:6450.1,18146.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,w),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  22276[4:SpR:5744.1,18146.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  24716[4:SpR:13412.1,18146.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,v),c_Int_Onat__aux(w,u))*.
% 299.83/300.50  20359[4:SpR:6450.1,18292.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,w))*.
% 299.83/300.50  23035[4:SpR:12874.1,22963.0] || equal(skf64(u),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.83/300.50  23047[4:SpR:6450.1,22963.0] || equal(u,skf48(c_fequal(skf64(v))))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,skf50(c_Int_Onat__aux(u,w)))*.
% 299.83/300.50  24762[4:SpR:13412.1,22551.0] || equal(u,skf64(v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,skf50(c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.83/300.50  22968[4:SpR:6450.1,22551.0] || equal(u,skf48(c_fequal(v))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(c_Int_Onat__aux(u,skf64(w))))*.
% 299.83/300.50  25107[4:SpR:18347.0,24689.1] || equal(skf50(skf64(u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(c_Int_Onat__aux(w,skf64(u))))*.
% 299.83/300.50  24766[4:SpR:13412.1,22963.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),u)))*.
% 299.83/300.50  61120[4:Res:42157.0,642.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.83/300.50  23193[0:SpL:3749.0,18432.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))** -> .
% 299.83/300.50  26262[0:SpR:2135.1,26052.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  78427[0:SpR:2526.0,42448.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Int_Onat,u)))),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  13354[0:SpL:12874.1,9714.0] || equal(skf64(u),v) equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),skf50(skf64(u)))* -> .
% 299.83/300.50  13342[0:SpL:12874.1,3678.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),w)** -> .
% 299.83/300.50  3727[0:Rew:3621.0,2846.1] || equal(hAPP(c_Int_Onat,u),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(u,w))*.
% 299.83/300.50  3751[0:Rew:3621.0,3676.1] || equal(u,v) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.83/300.50  40521[0:Rew:40499.0,40473.0] ||  -> equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),u))))*.
% 299.83/300.50  18197[0:SpL:15222.0,315.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,w))* -> equal(c_Int_Onat__aux(u,v),w).
% 299.83/300.50  3338[0:SpL:316.1,2892.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* equal(hAPP(c_Nat_OSuc,v),hAPP(c_Int_Onat,u))* -> .
% 299.83/300.50  28390[0:SpL:2135.1,28333.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),u)* -> .
% 299.83/300.50  24032[0:SpR:5744.1,10865.1] class_Rings_Omult__zero(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v))*.
% 299.83/300.50  24062[0:SpR:5744.1,10867.1] class_RealVector_Oreal__normed__algebra(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v))*.
% 299.83/300.50  24067[0:SpR:5744.1,10869.1] class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v))*.
% 299.83/300.50  30506[0:Obv:30505.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v))*.
% 299.83/300.50  24027[0:SpR:5744.1,10863.1] class_Groups_Omonoid__mult(u) || equal(c_Groups_Oone__class_Oone(u),v) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Power_Opower__class_Opower(u),v))*.
% 299.83/300.50  24115[0:SpR:5744.1,10877.1] class_Rings_Ocomm__semiring__0(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Polynomial_Osmult(u),v))*.
% 299.83/300.50  42524[0:Obv:42523.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Polynomial_Osmult(u),v))*.
% 299.83/300.50  17434[0:SpL:3632.0,3752.0] || equal(c_Int_Onat__aux(u,v),c_Int_Onat__aux(skf48(c_fequal(w)),v))* -> equal(hAPP(c_Int_Onat,u),w)*.
% 299.83/300.50  25159[0:SpL:5169.0,17473.0] || equal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,w))* -> equal(hAPP(c_Int_Onat,u),w).
% 299.83/300.50  25167[0:SpL:3654.0,17473.0] || equal(c_Int_Onat__aux(u,v),c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(hAPP(c_Int_Onat,u),w)*.
% 299.83/300.50  6867[0:SpR:5744.1,5840.1] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_Int_Onat)) -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.50  51037[0:Res:16882.1,50956.0] || equal(skf46(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))*.
% 299.83/300.50  58054[0:SpR:5744.1,54147.0] || equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))*.
% 299.83/300.50  5959[0:SpR:5744.1,4896.0] || equal(u,skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.83/300.50  29305[0:Res:16875.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))*.
% 299.83/300.50  6299[0:SpL:5744.1,334.0] || equal(u,v)* hBOOL(hAPP(hAPP(w,x),u))* -> SkP2(w,x,v)*.
% 299.83/300.50  6267[0:SpL:5744.1,334.0] || equal(u,v)* hBOOL(hAPP(hAPP(w,u),x))* -> SkP2(w,v,x)*.
% 299.83/300.50  25314[0:Rew:602.0,25292.1] || equal(u,v) -> equal(hAPP(u,hAPP(w,x)),hAPP(v,hAPP(w,x)))*.
% 299.83/300.50  19014[0:Rew:551.0,18993.1] || equal(u,v) -> equal(hAPP(hAPP(w,v),x),hAPP(hAPP(w,u),x))*.
% 299.83/300.50  25312[0:Rew:602.0,25294.1] || equal(u,v) -> equal(hAPP(w,hAPP(u,x)),hAPP(w,hAPP(v,x)))*.
% 299.83/300.50  25316[0:Rew:602.0,25289.1] || equal(u,v) -> equal(hAPP(w,hAPP(x,v)),hAPP(w,hAPP(x,u)))*.
% 299.83/300.50  16230[0:SpL:5744.1,12183.0] || equal(skf60(u),v)* hBOOL(hAPP(w,v))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.50  17291[0:SpL:5744.1,12538.0] || equal(skf48(u),v)* hBOOL(hAPP(w,v))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.50  66756[0:SpL:5744.1,66752.0] || equal(v_cs____,u) equal(hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))** -> .
% 299.83/300.50  66754[0:SpL:5744.1,66752.0] || equal(v_c____,u) equal(hAPP(hAPP(c_Polynomial_OpCons(t_a),u),v_cs____),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))** -> .
% 299.83/300.50  20715[0:SpR:5744.1,20513.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  20721[0:SpR:5744.1,20513.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  29348[0:Res:3536.0,12641.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  29353[0:Res:20513.0,12641.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  63103[0:SpR:5744.1,63055.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  5916[0:SpR:5744.1,311.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.83/300.50  23529[0:SpR:5744.1,20707.1] class_Rings_Olinordered__ring__strict(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.83/300.50  5841[0:SpR:5744.1,3536.0] || equal(u,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(c_Int_Onat,u)))*.
% 299.83/300.50  5941[0:SpR:5744.1,3536.0] || equal(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  28723[0:SpR:5744.1,28559.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf60(w)))*.
% 299.83/300.50  29155[0:SpR:5744.1,28717.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf60(w)))*.
% 299.83/300.50  28650[0:SpR:5744.1,28557.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(w)))*.
% 299.83/300.50  28909[0:SpR:5744.1,28644.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(w)))*.
% 299.83/300.50  20500[0:SpR:5744.1,19575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  29352[0:Res:19575.0,12641.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.83/300.50  56848[0:SSi:56843.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) -> .
% 299.83/300.50  5885[0:SpR:5744.1,332.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.83/300.50  16605[0:SpR:12260.1,4934.0] || equal(skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  26181[0:SpR:12260.1,26124.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  26191[0:SpR:12260.1,26189.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  26111[0:SpR:12260.1,26075.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  17542[0:SpR:13147.1,5525.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.50  24111[0:Obv:24108.0] class_Groups_Ozero(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Ocoeff(u,v))*.
% 299.83/300.50  30547[0:Obv:30546.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(u,v))*.
% 299.83/300.50  18151[0:SpR:15222.0,5744.1] || equal(c_Int_Onat__aux(u,v),w) -> equal(hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  25162[0:SpL:6450.1,17473.0] || equal(u,v) equal(c_Int_Onat__aux(u,w),c_Int_Onat__aux(v,x))* -> equal(w,x).
% 299.83/300.50  7490[0:SpR:6450.1,3632.0] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),v)* -> equal(c_Int_Onat__aux(v,w),c_Int_Onat__aux(u,w))*.
% 299.83/300.50  25038[0:Rew:15222.0,24708.1] || equal(u,v) -> equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  5829[0:SpR:5744.1,5169.0] || equal(u,v) -> equal(c_Int_Onat__aux(w,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,hAPP(c_Int_Onat,w)))*.
% 299.83/300.50  7561[0:SpL:6450.1,3163.0] || equal(u,v) equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))* -> .
% 299.83/300.50  24922[0:SpL:13412.1,3060.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(c_Int_Onat__aux(w,u),hAPP(c_Int_Onat,v))* -> .
% 299.83/300.50  24717[0:SpR:13412.1,5169.0] || equal(u,hAPP(c_Int_Onat,v)) -> equal(c_Int_Onat__aux(w,u),c_Int_Onat__aux(v,hAPP(c_Int_Onat,w)))*.
% 299.83/300.50  24923[0:SpL:13412.1,3163.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(c_Int_Onat__aux(w,u),hAPP(c_Int_Onat,w))* -> .
% 299.83/300.50  7507[0:SpR:6450.1,3654.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(v,hAPP(c_Int_Onat,w)),c_Int_Onat__aux(w,u))*.
% 299.83/300.50  7563[0:SpL:6450.1,3060.0] || equal(u,v) equal(c_Int_Onat__aux(w,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))* -> .
% 299.83/300.50  24725[0:SpR:13412.1,6450.1] || equal(u,v) equal(w,x) -> equal(c_Int_Onat__aux(w,v),c_Int_Onat__aux(x,u))*.
% 299.83/300.50  63086[0:SpR:5744.1,63055.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.83/300.50  17611[0:SpL:13147.1,4510.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u)* -> .
% 299.83/300.50  26306[0:SpR:2135.1,26072.0] || equal(hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  26057[0:SpR:2135.1,26032.0] || equal(hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  28393[0:SpL:5744.1,28333.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),v)* equal(hAPP(c_Int_Onat,v),u)* -> .
% 299.83/300.50  20573[0:SpL:13147.1,20514.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u)* -> .
% 299.83/300.50  26179[0:SpL:13147.1,26096.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fequal(u)))* -> .
% 299.83/300.50  26342[0:SpR:5744.1,26285.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.83/300.50  63144[0:SpR:5744.1,63096.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.83/300.50  26325[0:SpR:2135.1,26285.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  7568[0:SpL:6450.1,3633.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* -> .
% 299.83/300.50  17582[0:SpL:13147.1,9538.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(w)),u)* -> .
% 299.83/300.50  17577[0:SpL:13147.1,6528.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Int_Onat))** -> hBOOL(u).
% 299.83/300.50  55635[0:SpL:13147.1,55402.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Int_Onat))** -> hBOOL(u).
% 299.83/300.50  7190[0:SpR:5744.1,6866.1] || equal(u,v)* equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.50  12750[0:Rew:12519.0,5080.2] || equal(u,v)* hBOOL(hAPP(u,w))* -> SkP2(c_Int_Onat,skf48(c_fequal(v)),w)*.
% 299.83/300.50  63131[0:SpR:12874.1,63096.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.50  12759[0:Rew:12519.0,7288.1] || equal(skf48(c_fequal(u)),v)* equal(skf48(c_fequal(v)),skf48(c_Int_Onat))** -> hBOOL(u).
% 299.83/300.50  12916[0:Rew:12519.0,12670.1] || equal(u,v) -> equal(skf48(c_fequal(hAPP(c_Nat_OSuc,v))),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))*.
% 299.83/300.50  7569[0:SpL:6450.1,3678.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* equal(c_Int_Onat__aux(v,w),w)** -> .
% 299.83/300.50  7482[0:SpR:6450.1,3749.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),u),c_Int_Onat__aux(v,w))*.
% 299.83/300.50  24759[0:SpR:13412.1,3654.0] || equal(u,hAPP(c_Int_Onat,v))* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),u),c_Int_Onat__aux(v,w))*.
% 299.83/300.50  17600[0:SpL:13147.1,9752.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),w)** -> .
% 299.83/300.50  22615[0:Rew:18347.0,22564.1] || equal(u,v) -> equal(skf50(c_Int_Onat__aux(u,skf64(w))),skf50(c_Int_Onat__aux(v,skf64(w))))*.
% 299.83/300.50  24723[0:SpR:13412.1,18347.0] || equal(u,skf50(skf64(v))) -> equal(c_Int_Onat__aux(w,u),skf50(c_Int_Onat__aux(w,skf64(v))))*.
% 299.83/300.50  22582[0:SpR:10413.1,18347.0] || equal(u,skf64(v)) -> equal(c_Int_Onat__aux(w,skf50(u)),skf50(c_Int_Onat__aux(w,skf64(v))))*.
% 299.83/300.50  25160[0:SpL:18347.0,17473.0] || equal(skf50(c_Int_Onat__aux(u,skf64(v))),c_Int_Onat__aux(u,w))* -> equal(skf50(skf64(v)),w).
% 299.83/300.50  11861[0:SpL:5744.1,11444.0] || equal(skf64(u),v) equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v)),skf50(skf64(u)))* -> .
% 299.83/300.50  42650[0:Obv:42647.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* -> equal(skf37(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  4697[0:SpL:4392.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),v,u)*.
% 299.83/300.50  28389[0:SpL:15222.0,28333.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Int_Onat__aux(u,v))** -> .
% 299.83/300.50  77320[0:SpL:9487.0,38552.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),skf48(c_fequal(skf50(skf64(u))))))* -> .
% 299.83/300.50  74819[0:SpL:9487.0,28829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),skf48(c_fequal(skf50(skf64(u))))))* -> .
% 299.83/300.50  15939[0:SpL:550.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  2410[0:SpL:308.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  15724[0:SpL:505.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)*.
% 299.83/300.50  61945[0:SpL:49304.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  15630[0:Rew:813.1,15614.2] class_Lattices_Oboolean__algebra(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  15622[0:SpL:506.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)*.
% 299.83/300.50  2387[0:SpL:317.0,334.0] || hBOOL(hAPP(hAPP(c_Nat_OSuc,u),v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v)*.
% 299.83/300.50  71560[0:SpL:71409.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.50  19002[0:SpL:551.0,334.0] || hBOOL(hAPP(hAPP(u,v),w)) -> SkP2(c_COMBC(x,y,z,u),w,v)*.
% 299.83/300.50  2413[0:SpL:318.0,334.0] || hBOOL(hAPP(hAPP(c_Nat_OSuc,u),v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  2414[0:SpL:347.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  2417[0:SpL:313.1,334.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w)*.
% 299.83/300.50  18220[0:SpL:15222.0,334.0] || hBOOL(hAPP(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w))* -> SkP2(c_Nat_OSuc,c_Int_Onat__aux(u,v),w).
% 299.83/300.50  18320[0:SpL:495.1,334.0] class_Groups_Ozero(u) || hBOOL(v) -> SkP2(c_Polynomial_OpCons(u),skf37(u,v),skf36(u,v))*.
% 299.83/300.50  67751[15:SpL:67619.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),u)) -> SkP2(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),w,u)*.
% 299.83/300.50  76520[15:SpL:76473.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),u)) -> SkP2(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),w,u)*.
% 299.83/300.50  49739[0:SSi:49661.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.83/300.50  40058[0:SSi:40057.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))*.
% 299.83/300.50  45111[0:SSi:45062.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))))*.
% 299.83/300.50  20543[0:SpL:401.1,586.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.50  5378[0:SpL:356.1,384.0] class_Groups_Ogroup__add(u) || hBOOL(v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.83/300.50  5363[0:SpL:371.1,384.0] class_Lattices_Oboolean__algebra(u) || hBOOL(v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.83/300.50  18885[0:SpR:495.1,541.2] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,skf36(u,v))* -> c_Polynomial_Opos__poly(u,v).
% 299.83/300.50  10536[0:Res:4896.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v))))*.
% 299.83/300.50  74008[0:SSi:73990.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),u))*.
% 299.83/300.50  74011[0:SSi:73993.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),u))*.
% 299.83/300.50  74170[0:SSi:74157.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),u))*.
% 299.83/300.50  73094[0:SpR:364.1,1661.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)**.
% 299.83/300.50  73095[0:SpR:361.1,1661.1] class_Groups_Omonoid__mult(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)**.
% 299.83/300.50  73096[0:SpR:362.1,1661.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)**.
% 299.83/300.50  108641[0:AED:109.0,51749.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.50  108654[0:Rew:306.1,72153.1,108628.0,72153.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  108655[0:Rew:306.1,72157.1,108627.0,72157.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  111869[18:MRR:41921.0,111803.0] ||  -> hBOOL(skf64(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf50(skf64(u)),v)),skf50(skf64(u))))*.
% 299.83/300.50  111870[18:MRR:10664.1,111803.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))))*.
% 299.83/300.50  118143[18:Rew:3622.0,118138.2] || equal(u,v)* equal(skf48(c_fequal(u)),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  122632[18:SpL:9234.1,111840.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  122707[18:SpL:9234.1,114153.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(u,skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  127225[18:SpR:15222.0,118137.1] || equal(skf48(c_fequal(c_Int_Onat__aux(u,v))),skf48(c_Nat_OSuc)) -> hBOOL(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  135761[18:SpR:2117.1,111848.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,u)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  135766[18:SpR:15222.0,111848.1] || equal(u,c_Int_Onat__aux(v,w)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),u)*.
% 299.83/300.50  135811[18:SpR:2117.1,111849.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,u)* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  135816[18:SpR:15222.0,111849.1] || equal(u,c_Int_Onat__aux(v,w)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),u)*.
% 299.83/300.50  135819[18:SpR:3749.0,111850.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.83/300.50  135846[18:SpR:2117.1,111850.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,u))*.
% 299.83/300.50  135851[18:SpR:15222.0,111850.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(u,c_Int_Onat__aux(v,w)))*.
% 299.83/300.50  136062[18:SpR:3749.0,111851.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.83/300.50  136090[18:SpR:2117.1,111851.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,u))*.
% 299.83/300.50  136095[18:SpR:15222.0,111851.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(u,c_Int_Onat__aux(v,w)))*.
% 299.83/300.50  137373[18:SpR:5744.1,111850.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(w,v))*.
% 299.83/300.50  137374[18:SpR:5744.1,111851.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(w,v))*.
% 299.83/300.50  137399[18:SpR:5744.1,111848.1] || equal(u,v)* equal(w,v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),w)*.
% 299.83/300.50  137400[18:SpR:5744.1,111849.1] || equal(u,v)* equal(w,v)* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),w)*.
% 299.83/300.50  138004[18:SpR:5744.1,111847.0] || equal(u,skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u))*.
% 299.83/300.50  138146[18:SpR:5744.1,118126.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  138157[18:SpR:5744.1,122642.1] || equal(u,skf60(c_Nat_OSuc)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  138158[18:SpR:5744.1,122641.1] || equal(u,skf60(c_Nat_OSuc)) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  140396[18:SpR:6450.1,111850.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(v,w))*.
% 299.83/300.50  140397[18:SpR:6450.1,111851.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(v,w))*.
% 299.83/300.50  141038[18:SpR:13412.1,111850.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,v))*.
% 299.83/300.50  141039[18:SpR:13412.1,111851.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,u),c_Int_Onat__aux(w,v))*.
% 299.83/300.50  144253[18:SpR:12545.1,111853.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  144316[18:SpR:5744.1,144254.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  144349[18:SpR:5744.1,144249.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144373[18:SpR:5744.1,144250.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144468[18:SpR:5744.1,144251.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144481[18:SpR:5744.1,144252.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144512[18:SpR:12545.1,114155.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  144606[18:SpR:5744.1,144513.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  144639[18:SpR:5744.1,144508.1] || equal(skf48(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144663[18:SpR:5744.1,144509.1] || equal(skf60(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144729[18:SpR:5744.1,144510.1] || equal(skf57(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144741[18:SpR:5744.1,144511.1] || equal(skf47(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  149167[23:SpL:5744.1,148983.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.83/300.50  149170[23:SpL:5744.1,148984.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.83/300.50  149173[23:SpL:5744.1,148985.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.83/300.50  149976[2:SSi:149950.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))).
% 299.83/300.50  149977[2:SSi:149951.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.50  150282[18:SSi:150232.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))))))*.
% 299.83/300.50  151521[4:SSi:151512.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  151522[4:SpR:5744.1,150576.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  151525[4:SpR:2170.1,150576.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf47(c_Int_Onat),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  151549[4:SSi:151539.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),v)* equal(skf47(c_Int_Onat),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  151569[4:SSi:151550.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  151749[0:SpL:12874.1,151702.0] || equal(skf64(u),v)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  151753[0:SpL:5744.1,151702.0] || equal(skf48(c_fequal(skf64(u))),v)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  151783[6:SpL:12874.1,151774.0] || equal(skf64(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  151787[6:SpL:5744.1,151774.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  152860[2:SpR:13147.1,152834.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u) -> hBOOL(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.50  152954[2:SpR:5744.1,152835.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),u)* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.83/300.50  153003[0:SpR:3703.0,58677.0] ||  -> equal(skf51(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  153004[0:SpR:3704.0,58677.0] ||  -> equal(skf51(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  153007[0:SpR:3690.1,58677.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> equal(skf51(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  153762[2:SpR:5744.1,153698.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)).
% 299.83/300.50  153879[2:SpR:5744.1,153761.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)).
% 299.83/300.50  154319[0:SSi:154316.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  154593[23:SpL:13147.1,154521.0] || equal(skf48(c_fequal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.50  155929[4:SpL:10150.1,155925.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),v)* equal(v,skf49(c_fNot)) -> .
% 299.83/300.50  156100[0:SpR:12874.1,64735.0] || equal(skf64(u),v)* -> equal(skf48(c_fequal(skf64(skf48(c_fequal(v))))),skf48(c_fequal(v)))**.
% 299.83/300.50  156139[0:SpL:64735.0,6971.1] hBOOL(skf64(skf48(c_fequal(skf64(u))))) || equal(skf48(c_fequal(skf64(u))),skf48(c_fNot))** -> .
% 299.83/300.50  157309[0:SpL:2526.0,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Int_Onat,u)))* -> .
% 299.83/300.50  157312[0:SpL:9370.1,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf50(u)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  157397[8:SpR:49088.0,157334.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.50  157402[4:SpR:2135.1,157392.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))*.
% 299.83/300.50  157406[4:SpR:10413.1,157392.0] || equal(u,skf64(v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v))))*.
% 299.83/300.50  157744[0:SpL:2526.0,56384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Int_Onat,u)))* -> .
% 299.83/300.50  157747[0:SpL:9370.1,56384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf50(u)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  157781[0:SpL:2117.1,157764.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u)* -> .
% 299.83/300.50  157782[0:SpL:5744.1,157764.0] || equal(u,v) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))),u)* -> .
% 299.83/300.50  157786[0:SpL:9385.1,157764.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),skf50(u))** -> .
% 299.83/300.50  157797[0:Rew:15222.0,157788.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))),c_Int_Onat__aux(u,v))** -> .
% 299.83/300.50  157792[0:SpL:5744.1,157764.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))),u)* -> .
% 299.83/300.50  157794[0:SpL:2135.1,157764.0] || equal(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* -> .
% 299.83/300.50  157960[0:SpR:2526.0,75081.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Int_Onat,u)))),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  157963[0:SpR:9370.1,75081.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf50(u)))),skf48(c_fequal(u))))*.
% 299.83/300.50  158416[0:Res:587.1,63126.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)** -> .
% 299.83/300.50  161184[2:Res:587.1,153797.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.83/300.50  161481[18:SpL:10150.1,161477.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),v)* equal(v,skf46(c_Nat_OSuc)) -> .
% 299.83/300.50  162981[26:SpR:5744.1,161957.1] || equal(u,v)* equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(hAPP(c_Int_Onat,v),w)*.
% 299.83/300.50  162984[26:SpR:2170.1,161957.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  163003[26:SpL:12589.1,162989.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(u,v)*.
% 299.83/300.50  163005[26:SpL:12874.1,162989.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> SkP0(u,w)*.
% 299.83/300.50  163011[26:SpL:12545.1,162989.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> SkP0(skf64(u),v)*.
% 299.83/300.50  163274[2:SpR:5744.1,163233.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))*.
% 299.83/300.50  163279[2:SpR:5744.1,163233.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* -> hBOOL(hAPP(c_Int_Onat,u))*.
% 299.83/300.50  168762[27:SpR:5744.1,163997.1] || equal(u,v)* equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(w,hAPP(c_Int_Onat,v))*.
% 299.83/300.50  168765[27:SpR:2170.1,163997.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.50  168781[27:SpL:12589.1,168770.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> SkP0(v,u)*.
% 299.83/300.50  168783[27:SpL:12874.1,168770.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> SkP0(w,u)*.
% 299.83/300.50  168789[27:SpL:12545.1,168770.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> SkP0(v,skf64(u))*.
% 299.83/300.50  170431[8:MRR:170294.0,170294.1,19248.0,8759.0] ||  -> SkP0(skf68(c_Int_Onat,u,v),w)* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.50  170432[8:MRR:170290.0,170290.1,19248.0,8759.0] ||  -> SkP0(u,skf68(c_Int_Onat,v,w))* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.50  170821[8:MRR:170682.0,170682.1,19248.0,8759.0] ||  -> SkP0(skf67(c_Int_Onat,u,v),w)* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.50  170822[8:MRR:170678.0,170678.1,19248.0,8759.0] ||  -> SkP0(u,skf67(c_Int_Onat,v,w))* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.50  171427[0:SSi:171422.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  171428[0:SSi:171423.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  171541[0:SSi:171536.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  171766[2:SSi:171765.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))*.
% 299.83/300.50  172148[2:SSi:172144.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))*.
% 299.83/300.50  173239[0:Obv:173121.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.83/300.50  173250[0:SSi:173249.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.50  173356[0:MRR:173355.1,218.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.50  173388[0:SpL:13147.1,173257.0] || equal(skf48(c_fequal(u)),v) equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  173550[0:SSi:173549.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173556[8:SpL:6450.1,173401.0] || equal(skf47(c_Int_Onat),u) equal(c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  173814[2:SSi:173811.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))*.
% 299.83/300.50  173900[0:SpL:12874.1,173541.0] || equal(u,v) equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173906[0:SpL:12545.1,173541.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf48(c_fequal(c_Int_Onat__aux(u,skf64(u)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173945[0:Rew:18347.0,173920.0,3749.0,173920.0] || equal(skf48(c_fequal(skf50(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(u)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173922[0:SpL:6450.1,173541.0] || equal(skf48(c_fequal(u)),v) equal(skf48(c_fequal(c_Int_Onat__aux(v,u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173930[0:SpL:3753.0,173541.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173936[0:SpL:12874.1,173541.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),v)* equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173949[0:SpL:5744.1,173913.0] || equal(u,v) equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173952[0:SpL:2170.1,173913.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173975[0:SpL:13412.1,173913.0] || equal(u,hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(c_Int_Onat__aux(v,u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  173994[0:SpL:12874.1,173913.0] || equal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,u)),v)* equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  174248[2:SSi:174244.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))*.
% 299.83/300.50  174613[28:SpR:12586.1,169757.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.50  174614[28:SpR:12874.1,169757.1] || equal(u,v)* equal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.83/300.50  175179[4:SpR:10150.1,174999.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  175223[0:SpR:174966.0,5744.1] || equal(skf64(u),v)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  175246[0:SpR:5744.1,174966.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  175256[0:SpL:174966.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),skf64(v),u)*.
% 299.83/300.50  175257[0:SpL:174966.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),skf64(v),u)*.
% 299.83/300.50  175372[4:SpR:13412.1,175148.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  175396[4:SpR:13412.1,175148.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(w,u))*.
% 299.83/300.50  175433[4:SpR:12874.1,175193.0] || equal(skf64(u),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.83/300.50  175446[4:SpR:6450.1,175193.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(v,w))*.
% 299.83/300.50  175496[0:SpR:9385.1,172507.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  175516[2:MRR:175509.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.83/300.50  175655[0:SpR:5744.1,175499.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  175664[0:SpL:175499.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.83/300.50  175665[0:SpL:175499.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)*.
% 299.83/300.50  175669[0:SpR:175495.0,5744.1] || equal(skf64(u),v)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  175690[0:SpR:5744.1,175495.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf64(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  175699[0:SpL:175495.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf64(v),u)*.
% 299.83/300.50  175700[0:SpL:175495.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf64(v),u)*.
% 299.83/300.50  176491[0:SpR:5744.1,176401.0] || equal(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.83/300.50  176498[0:Res:176401.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)))*.
% 299.83/300.50  176522[0:SpR:5744.1,176487.0] || equal(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.83/300.50  176532[0:Res:176487.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)))*.
% 299.83/300.50  176678[0:SSi:176559.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.50  176757[0:SpR:2135.1,176536.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w,x)))*.
% 299.83/300.50  176763[0:SpR:5744.1,176536.0] || equal(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.83/300.50  176770[0:Res:176536.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)))*.
% 299.83/300.50  176785[0:SpR:2135.1,176512.0] || equal(u,v) -> SkP1(w,hAPP(c_Nat_OSuc,v),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x,y))*.
% 299.83/300.50  176789[0:SpR:2117.1,176512.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w,x))*.
% 299.83/300.50  176804[0:Rew:10199.1,176794.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP1(v,u,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w,x))*.
% 299.83/300.50  176796[0:SpR:15222.0,176512.0] ||  -> SkP1(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),x,y))*.
% 299.83/300.50  176985[0:SSi:176813.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  176986[0:SSi:176814.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  176987[0:SSi:176815.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  176988[0:SSi:176816.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  58493[2:Res:54544.1,12569.0] || equal(skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.83/300.50  12790[2:Rew:12519.0,6916.1] || equal(skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.83/300.50  77972[10:Rew:2526.0,77956.0] || equal(c_Int_Onat__aux(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.50  58491[2:Res:54544.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.50  6918[2:Res:5951.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.50  74168[2:SSi:74117.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.50  74007[2:SSi:73944.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.50  64527[2:MRR:51364.1,64525.1] || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.50  64529[2:MRR:58494.1,64525.1] || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.50  150001[2:Res:146402.0,50956.0] ||  -> equal(skf48(c_fequal(skf64(skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))),skf46(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.50  47620[10:MRR:47503.1,47503.2,38830.0,4367.0] || equal(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  47608[10:MRR:47567.1,38830.0] || equal(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  150163[10:MRR:150156.1,38830.0] || equal(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf49(c_fNot))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  39955[10:SpR:5744.1,38831.1] || equal(skf50(u),v)* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  6908[2:SpR:5744.1,5951.1] || equal(u,v)* equal(u,skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  11109[2:SpR:5744.1,10609.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  58476[2:SpR:5744.1,54544.1] || equal(u,v)* equal(skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  146489[2:Res:146400.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,u))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  149980[2:SpR:5744.1,146402.0] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* equal(skf48(c_fequal(skf64(u))),u)**.
% 299.83/300.50  7980[2:SpR:5744.1,7974.0] || equal(skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))*.
% 299.83/300.50  57987[2:SpR:5744.1,54139.0] || equal(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))*.
% 299.83/300.50  62123[2:Res:51947.1,50956.0] || equal(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),u) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))*.
% 299.83/300.50  51981[2:Res:51888.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))*.
% 299.83/300.50  62074[2:SpR:5744.1,51947.1] || equal(u,v)* equal(w,u)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))*.
% 299.83/300.50  10532[2:Res:7974.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v))))*.
% 299.83/300.50  16609[2:SpR:12260.1,7989.0] || equal(skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  50878[2:SpR:12545.1,48505.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.83/300.50  16608[2:SpR:12260.1,7988.0] || equal(skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  50605[2:SpR:12545.1,46995.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.83/300.50  72365[2:SpR:10150.1,71750.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf50(u))),skf50(u))**.
% 299.83/300.50  58196[2:SpR:5744.1,54405.0] || equal(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))*.
% 299.83/300.50  146538[2:SSi:146515.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),w)*.
% 299.83/300.50  146572[2:SSi:146549.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.83/300.50  29383[2:MRR:29227.0,4367.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))*.
% 299.83/300.50  10642[2:MRR:10430.1,4367.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v))))*.
% 299.83/300.50  149937[2:SpR:5744.1,146503.0] || equal(u,v)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  80602[2:SSi:80559.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))).
% 299.83/300.50  79622[2:SSi:79582.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))).
% 299.83/300.50  20450[2:SSi:20406.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.50  58504[2:SSi:58486.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.50  11807[2:MRR:11792.0,4360.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.50  177996[0:SSi:177826.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.50  177997[0:SSi:177827.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(v)))*.
% 299.83/300.50  177998[0:SSi:177828.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(v)))*.
% 299.83/300.50  177999[0:SSi:177829.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(v)))*.
% 299.83/300.50  178000[0:SSi:177830.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(v)))*.
% 299.83/300.50  178001[0:SSi:177910.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v)))*.
% 299.83/300.50  178561[0:SSi:178392.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(v)))*.
% 299.83/300.50  178562[0:SSi:178393.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(v)))*.
% 299.83/300.50  178563[0:SSi:178394.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(v)))*.
% 299.83/300.50  178564[0:SSi:178395.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(v)))*.
% 299.83/300.50  178565[0:SSi:178475.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v)))*.
% 299.83/300.50  179292[0:Obv:179165.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(u),v)),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  179309[0:SSi:179308.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v)),w)*.
% 299.83/300.50  179344[0:SSi:179343.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),u),v)**.
% 299.83/300.50  179346[0:SSi:179345.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,u)),w),v)**.
% 299.83/300.50  179466[0:SpR:1075.0,1607.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.50  179494[0:SpR:1075.0,307.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  179521[0:SpR:1075.0,293.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  179525[0:SpR:1075.0,108628.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  179580[0:SpR:1075.0,26576.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.83/300.50  179929[0:Rew:219.0,179619.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(w,x),v))**.
% 299.83/300.50  180205[0:Rew:179289.0,180174.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  180497[0:Con:180478.0] || hBOOL(hAPP(u,v))* -> SkP0(w,skf48(c_fequal(v)))* hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.50  181482[0:SSi:180931.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,tc_Nat_Onat)),w),x),y),hAPP(w,y))*.
% 299.83/300.50  182400[0:MRR:182340.2,222.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.50  182948[0:SpR:179303.0,5744.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)),u),v)**.
% 299.83/300.50  182970[0:SpL:179303.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,w)),c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.50  182971[0:SpL:179303.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,w)),c_Groups_Oone__class_Oone(tc_Int_Oint),v)*.
% 299.83/300.50  182975[0:SSi:182952.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(c_Polynomial_Oorder(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Polynomial_Omonom(tc_Int_Oint,u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  182980[0:SSi:182965.1,182965.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Polynomial_Omonom(tc_Int_Oint,v,w))* -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.83/300.50  183164[0:SpL:179305.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)*.
% 299.83/300.50  183165[0:SpL:179305.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)*.
% 299.83/300.50  183175[0:SpL:179305.0,24466.0] || hBOOL(u) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  183458[0:SpR:10150.1,183221.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,skf50(u))))*.
% 299.83/300.50  183493[0:SpL:179307.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  183494[0:SpL:179307.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  183748[0:Rew:1657.0,183729.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  184363[0:SSi:184305.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u),v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  184364[0:SSi:184306.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Opcompose(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u),v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  184643[0:SSi:184581.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u),v)),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  184644[0:SSi:184582.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Opcompose(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u),v)),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  185168[2:SpR:185071.1,41127.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,v)*.
% 299.83/300.50  185169[2:SpR:185071.1,41241.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u)*.
% 299.83/300.50  185170[2:SpR:185071.1,42626.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,v)*.
% 299.83/300.50  185171[2:SpR:185071.1,42711.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u)*.
% 299.83/300.50  185180[2:SpR:185071.1,48668.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.83/300.50  185181[2:SpR:185071.1,48594.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,v)*.
% 299.83/300.50  185182[2:SpR:185071.1,47112.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,v)*.
% 299.83/300.50  185183[2:SpR:185071.1,47186.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.83/300.50  185204[18:SpL:185071.1,111840.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  185205[18:SpL:185071.1,114153.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* equal(u,skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  185208[0:SpL:185071.1,16430.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u))* -> .
% 299.83/300.50  185395[0:Rew:3614.0,185394.1,2525.0,185394.1,62617.0,185394.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  185807[2:SpR:185071.1,185109.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u)*.
% 299.83/300.50  185836[2:SpR:185071.1,185112.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,u)*.
% 299.83/300.50  186251[2:SpR:185071.1,185138.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.83/300.50  186669[2:SpR:185071.1,185142.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v,u)*.
% 299.83/300.50  187633[0:SSi:187607.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.83/300.50  187654[0:SpR:5744.1,187575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))*.
% 299.83/300.50  187657[0:SpR:2170.1,187575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  187659[0:SpR:2169.1,187575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.50  187667[0:SpR:12260.1,187575.0] || equal(skf60(u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> SkP0(v,skf60(u))*.
% 299.83/300.50  187668[0:SpR:13147.1,187575.0] || equal(skf48(u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> SkP0(v,skf48(u))*.
% 299.83/300.50  187669[0:SpR:13680.1,187575.0] || equal(skf47(u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> SkP0(v,skf47(u))*.
% 299.83/300.50  187670[0:SpR:12435.1,187575.0] || equal(skf57(u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> SkP0(v,skf57(u))*.
% 299.83/300.50  187671[0:SSi:187662.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  187691[0:SSi:187672.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  188076[0:MRR:187702.1,230.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(u,v,v)),v)**.
% 299.83/300.50  188087[0:MRR:188086.1,19097.0] ||  -> hBOOL(hAPP(u,v)) SkP0(w,skf48(c_fequal(x)))* equal(skf68(u,x,v),v)**.
% 299.83/300.50  188103[0:MRR:188102.2,2829.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(v,w)) equal(skf68(v,u,w),w)**.
% 299.83/300.50  188231[0:SSi:188192.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.50  188649[0:MRR:188275.1,230.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(u,v,v)),v)**.
% 299.83/300.50  188660[0:MRR:188659.1,19097.0] ||  -> hBOOL(hAPP(u,v)) SkP0(w,skf48(c_fequal(x)))* equal(skf67(u,x,v),v)**.
% 299.83/300.50  188676[0:MRR:188675.2,2829.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(v,w)) equal(skf67(v,u,w),w)**.
% 299.83/300.50  188733[0:SpR:5744.1,188149.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)),v)*.
% 299.83/300.50  188736[0:SpR:2170.1,188149.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)*.
% 299.83/300.50  188738[0:SpR:2169.1,188149.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)*.
% 299.83/300.50  188753[0:SSi:188741.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.83/300.50  188755[0:SpR:5744.1,188150.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)),v)*.
% 299.83/300.50  188758[0:SpR:2170.1,188150.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)*.
% 299.83/300.50  188760[0:SpR:2169.1,188150.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)*.
% 299.83/300.50  188775[0:SSi:188763.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)*.
% 299.83/300.50  188962[0:SSi:188936.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.50  18167[0:SpR:15222.0,379.0] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(u,v,w),c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,y))),hAPP(w,c_Int_Onat__aux(x,y)))**.
% 299.83/300.50  18912[0:SpL:210.0,492.0] || equal(hAPP(u,skf33(u,c_COMBI(v))),skf33(u,c_COMBI(v)))** -> equal(c_COMBI(v),u).
% 299.83/300.50  18952[0:SpL:210.0,492.0] || equal(hAPP(u,skf33(c_COMBI(v),u)),skf33(c_COMBI(v),u))** -> equal(u,c_COMBI(v)).
% 299.83/300.50  3578[0:Res:311.1,384.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.83/300.50  16083[0:Res:510.1,384.0] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.83/300.50  23536[0:Res:20707.1,384.0] class_Rings_Olinordered__ring__strict(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.83/300.50  3521[0:SpL:274.0,384.0] || hBOOL(u) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(v,u,w),hAPP(c_Int_Onat,skf48(c_Nat_Onat_Onat__case(v,u,w)))))*.
% 299.83/300.50  10648[0:AED:109.0,10590.2] class_Orderings_Oorder(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.83/300.50  16174[0:Res:526.1,464.1] class_Rings_Olinordered__semidom(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,w))))*.
% 299.83/300.50  38393[0:Obv:38375.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(c_fequal(v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> .
% 299.83/300.50  47869[0:SpL:3757.0,11348.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)))),w)** -> .
% 299.83/300.50  47872[0:SpL:3757.0,20112.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf64(w)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  47947[0:Rew:15042.0,47946.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(skf48(c_fequal(u)),w))** -> .
% 299.83/300.50  53994[0:SpL:379.0,51176.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(w,x,u),skf49(c_Nat_Onat_Onat__case(w,x,u))))*.
% 299.83/300.50  20005[0:SpL:553.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.83/300.50  20093[0:SpL:554.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.50  20094[0:SpL:554.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.50  20006[0:SpL:553.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.83/300.50  79208[0:SpL:1074.0,1620.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  74807[0:SpL:12586.1,28829.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.50  74529[4:SpL:12545.1,28018.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(u,skf47(c_Int_Onat)) equal(skf64(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  70019[0:SpL:6450.1,20269.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(skf48(c_fequal(c_Int_Onat__aux(u,w))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  70004[0:SpL:12874.1,20269.0] || equal(skf64(u),v)* equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),w))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  69937[0:SpL:13412.1,20180.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  48886[0:SSi:48885.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  47881[0:SpL:3757.0,20183.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  74668[0:SSi:74645.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.50  68946[0:SpL:12874.1,64130.0] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.50  18141[0:SpR:15222.0,12555.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.50  12795[0:Rew:12519.0,10097.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.50  10370[2:MRR:10356.2,4367.0] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  51882[2:MRR:16736.2,51857.1] class_Groups_Ogroup__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  4912[2:MRR:4855.1,4367.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.83/300.50  4885[0:Res:290.1,4191.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.83/300.50  77639[0:SpL:2169.1,39778.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  29516[0:SpR:12611.1,3626.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(skf50(u),v))* -> SkP2(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.50  29517[0:SpR:12611.1,3627.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(skf50(u),v))* -> SkP1(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)*.
% 299.83/300.50  4322[0:SpL:2169.1,383.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf47(u)) hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(u,v))*.
% 299.83/300.50  28284[0:Rew:1878.0,28260.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  28015[4:SpL:2170.1,8779.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(u,skf47(c_Int_Onat)) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  28009[4:SpL:5744.1,8779.1] || equal(u,v)* equal(u,skf47(c_Int_Onat))* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  79388[2:SpL:5744.1,51891.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  25773[0:SpL:12874.1,12686.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  69960[0:SpL:13412.1,20180.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(skf48(c_fequal(c_Int_Onat__aux(w,u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  74693[0:SpL:2169.1,28828.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  77561[0:SpL:2169.1,38559.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  20284[0:SpL:13147.1,20183.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,skf64(v)))),w)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  69979[0:SpL:12874.1,20180.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w)* equal(skf48(c_fequal(w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  70034[0:SpL:12874.1,20269.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),w)* equal(skf48(c_fequal(w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  19386[0:Rew:19352.0,19379.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  69306[0:SpL:19349.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)*.
% 299.83/300.50  69305[0:SpL:19349.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)*.
% 299.83/300.50  19196[0:SpL:414.0,1620.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  75823[0:Res:5870.1,656.2] class_Orderings_Owellorder(tc_Int_Oint) || equal(c_Orderings_Oord__class_OLeast(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.50  17591[0:SpL:13147.1,4801.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  17730[4:SpL:13680.1,8784.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  17735[4:SpL:13680.1,8785.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  20452[0:SSi:20407.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  27935[0:SSi:27931.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.50  29521[0:SpR:12611.1,12874.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),v)* -> equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  29601[0:SpL:12611.1,12873.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(skf50(u),v)*.
% 299.83/300.50  24060[0:SSi:24054.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),u)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.50  25778[0:SpL:5744.1,12686.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  23829[0:SSi:23799.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),v)**.
% 299.83/300.50  39990[0:SSi:39987.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.50  78130[0:SpR:16659.1,40124.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  78397[0:SpR:16659.1,40162.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  4883[0:Res:1608.1,4191.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.50  25226[0:SpL:2135.1,9627.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.50  65780[4:SpR:12260.1,65775.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  4882[0:Res:375.1,4191.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.50  4887[0:Res:1608.0,4191.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.50  6933[0:SpR:2673.1,3736.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  12923[0:Rew:12519.0,12812.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.50  8201[0:SpL:5744.1,8193.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf48(c_fequal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))),skf48(c_Int_Onat))** -> .
% 299.83/300.50  25668[8:SpL:5744.1,20601.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(hAPP(c_Nat_OSuc,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  27921[0:SpL:5744.1,8423.0] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)*.
% 299.83/300.50  4875[0:Res:325.1,4191.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))*.
% 299.83/300.50  25228[0:SpL:5744.1,9627.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> .
% 299.83/300.50  68950[0:SpL:5744.1,64130.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,v)))),u))* -> .
% 299.83/300.50  74065[0:SpL:5744.1,73423.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf48(c_fequal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))),skf47(c_Int_Onat))** -> .
% 299.83/300.50  74837[0:SpL:5744.1,74833.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  79368[0:SpL:5744.1,51544.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* hBOOL(skf46(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  8224[0:SpL:2070.1,8194.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> .
% 299.83/300.50  12851[0:Rew:12519.0,8225.1] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> .
% 299.83/300.50  17736[0:SpL:13680.1,8153.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> .
% 299.83/300.50  17737[3:SpL:13680.1,8195.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_fNot))** -> .
% 299.83/300.50  17738[0:SpL:13680.1,8196.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf60(c_Int_Onat))** -> .
% 299.83/300.50  17740[4:SpL:13680.1,8786.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  19762[8:SpL:13680.1,19335.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  25672[8:SpL:5744.1,20601.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  55757[0:SpL:13680.1,55414.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf49(c_Int_Onat))** -> .
% 299.83/300.50  74070[0:SpL:12589.1,73423.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.50  17615[0:SpL:13147.1,7856.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.50  51843[0:SpL:13147.1,51597.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.50  74069[0:SpL:12874.1,73423.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  8415[0:SpR:5859.1,5744.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* equal(u,v)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  24395[0:SSi:24367.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,v)*.
% 299.83/300.50  8438[0:SpL:5859.1,333.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)*.
% 299.83/300.50  8437[0:SpL:5859.1,334.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)*.
% 299.83/300.50  44986[0:SSi:44985.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))**.
% 299.83/300.50  74520[4:SpL:12874.1,28018.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  74521[4:SpL:12589.1,28018.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  38683[0:SSi:38664.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.50  45590[0:Res:3279.0,786.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  64265[0:SSi:64257.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.50  45589[0:Res:18629.0,786.0] ||  -> SkP0(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  51671[0:SSi:51652.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.50  51827[0:SSi:51815.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  75198[0:SpR:5744.1,19551.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.50  69002[0:SpR:13412.1,64648.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(c_Int_Onat__aux(v,u)))))*.
% 299.83/300.50  66724[0:SpL:5744.1,56885.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> .
% 299.83/300.50  55629[0:Res:55294.0,12634.1] || hBOOL(hAPP(u,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.83/300.50  64724[0:SpR:13147.1,64651.0] || equal(skf48(c_fequal(skf64(u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  69022[0:SpR:12874.1,64648.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.83/300.50  25685[0:SpL:5744.1,25512.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  26889[0:SpL:5744.1,25511.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26870[0:SpL:5744.1,25510.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26521[0:SpL:5744.1,25509.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26499[0:SpL:5744.1,25508.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  8472[0:SpR:5744.1,5870.1] || equal(u,v)* equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  26893[0:SpL:5744.1,25511.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.83/300.50  26874[0:SpL:5744.1,25510.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.83/300.50  26525[0:SpL:5744.1,25509.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.83/300.50  26503[0:SpL:5744.1,25508.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.83/300.50  69026[0:SpR:5744.1,64648.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  80529[2:SpL:5744.1,53848.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  25689[0:SpL:5744.1,25512.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.83/300.50  53545[2:Res:783.1,52144.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.50  53945[0:MRR:53935.1,220.0] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.50  63740[0:SSi:63730.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.50  75821[0:Res:5870.1,50956.0] || equal(skf46(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.50  77601[0:Res:16876.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.83/300.50  74714[2:SpR:13147.1,74696.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.50  66306[0:SpL:5744.1,38560.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> .
% 299.83/300.50  55080[0:Res:54122.0,12634.1] || hBOOL(hAPP(u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.83/300.50  51672[0:SSi:51654.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  25278[0:SpL:5744.1,11629.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  12631[0:Rew:12519.0,11609.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))* -> .
% 299.83/300.50  77666[2:SpR:13147.1,77650.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.50  8488[0:SpR:5744.1,5871.1] || equal(u,v)* equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  79546[2:SpL:5744.1,52038.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  25282[0:SpL:5744.1,11629.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.83/300.50  44865[0:SpL:12675.1,12557.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.83/300.50  48023[0:SpR:12636.1,268.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(skf48(c_fequal(skf56(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u))),u).
% 299.83/300.50  50584[0:Res:874.1,327.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)*.
% 299.83/300.50  51042[0:Res:5871.1,50956.0] || equal(skf46(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.50  53154[2:Res:51858.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  53546[2:Res:785.1,52144.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.50  55062[0:SSi:55034.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.50  66850[2:MRR:66771.2,2891.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.50  66880[0:MRR:66879.2,2891.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> .
% 299.83/300.50  72975[2:SpR:13147.1,72795.0] || equal(skf48(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  73000[2:SpR:12435.1,72796.0] || equal(skf57(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  73007[2:SpR:12260.1,72797.0] || equal(skf60(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  73216[2:SpR:13680.1,72798.0] || equal(skf47(u),v)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  71858[4:MRR:71621.2,8759.0] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  71859[4:MRR:71620.2,10316.1] class_Groups_Ogroup__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  71669[0:SpL:409.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  71670[0:SpL:411.1,24466.0] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  71593[0:SpL:6450.1,22595.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(skf50(c_Int_Onat__aux(u,skf64(w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  71587[0:SpL:13412.1,22595.0] || equal(u,skf64(v))* equal(skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  71581[0:SpL:12874.1,22595.0] || equal(skf64(u),v)* equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  68889[0:Rew:307.0,68834.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  66992[0:Rew:219.0,66960.0] ||  -> equal(hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.83/300.50  56324[0:Res:2803.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  47566[0:Res:211.1,805.1] || hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(skf62(c_fNot,u))* hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  51101[4:MRR:50989.1,8759.0] || equal(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))*.
% 299.83/300.50  47891[0:SpL:3757.0,20796.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),skf64(x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  47877[0:SpL:3757.0,20796.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(w,skf64(x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  46640[0:SpR:3704.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  50669[0:Res:1909.0,1927.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.83/300.50  50811[0:Res:1909.0,1926.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.50  46460[0:SpR:3703.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  42102[0:Rew:2545.0,42061.1,1878.0,42061.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(hAPP(c_Nat_OSuc,skf52(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)),u).
% 299.83/300.50  41650[0:Res:16875.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.83/300.50  23057[4:SpR:10150.1,22963.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  23000[4:SpR:10150.1,22559.0] || equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.50  22936[4:SpR:10150.1,22543.0] || equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.50  8313[0:SpL:6938.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.50  28203[0:SpL:9503.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v))),skf64(v),u)*.
% 299.83/300.50  8312[0:SpL:6938.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.50  28202[0:SpL:9503.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v))),skf64(v),u)*.
% 299.83/300.50  22975[4:SpR:10150.1,22551.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  77047[0:MRR:76869.3,251.0] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(u).
% 299.83/300.50  28435[0:SpR:614.1,565.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Polynomial_Omonom(u,c_Groups_Oone__class_Oone(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))**.
% 299.83/300.50  28289[0:SpL:13147.1,28279.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  28198[0:SpR:5744.1,9503.0] || equal(skf50(skf64(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  28197[0:SpR:10413.1,9503.0] || equal(u,skf64(v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  28182[0:SpR:9503.0,5744.1] || equal(skf64(u),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  27813[0:Res:2179.1,3730.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  19749[8:SpL:13680.1,19333.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  19752[8:SpL:13680.1,19334.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  52280[2:SpL:52124.1,492.0] || equal(hAPP(u,skf33(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(skf33(c_Int_Onat,u)) equal(u,c_Int_Onat).
% 299.83/300.50  52268[2:SpL:52124.1,492.0] || equal(hAPP(u,skf33(u,c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(skf33(u,c_Int_Onat)) equal(c_Int_Onat,u).
% 299.83/300.50  17601[0:SpL:13147.1,9645.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  16596[0:SpR:12260.1,12132.0] || equal(skf60(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  17206[0:SpR:12435.1,12331.0] || equal(skf57(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  17495[0:SpR:13147.1,12488.0] || equal(skf48(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  17685[0:SpR:13680.1,14019.0] || equal(skf47(u),v)* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  12014[0:SpR:10413.1,10150.1] || equal(u,skf64(v))* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  22583[0:SpL:18347.0,3733.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),u)** -> equal(skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  50209[8:SpL:10413.1,49418.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u)),skf64(v))* equal(skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  28173[0:SpL:10413.1,9495.0] || equal(u,skf64(v))* equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.50  10829[0:SpL:8586.1,441.0] || equal(hAPP(c_Int_Onat,skf34(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> SkP0(skf35(c_Int_Onat),u)* c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Int_Onat)*.
% 299.83/300.50  18847[0:SpL:18711.1,441.0] || equal(hAPP(c_Int_Onat,skf34(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> SkP0(u,skf35(c_Int_Onat))* c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Int_Onat)*.
% 299.83/300.50  12043[0:SpR:10413.1,10150.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf50(u))*.
% 299.83/300.50  9997[0:SpR:9487.0,431.1] || equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  78802[8:SpL:18347.0,49245.0] || equal(skf50(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  28408[4:SpL:5744.1,10374.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  69420[8:SpL:5744.1,19393.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  8298[0:SpR:6938.0,5744.1] || equal(hAPP(c_Nat_OSuc,u),v)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  8309[0:SpR:5744.1,6938.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  8336[0:SpR:5744.1,2179.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.83/300.50  3384[0:SpR:2117.1,382.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* equal(v,u)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  41220[0:MRR:41182.2,2829.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(v,u)*.
% 299.83/300.50  66707[0:SpL:5744.1,56564.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  71616[0:SpL:5744.1,24466.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(v,u))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  7544[0:SpL:6450.1,3733.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,w),u)* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  13323[0:SpL:12874.1,3733.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),u)* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  42009[0:SpR:3705.1,3736.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  78809[8:Rew:49081.0,78801.0] || equal(c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  14841[0:SpL:12545.1,3733.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,v),skf64(u))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  15003[0:SpL:3753.0,3733.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,u))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  24899[0:SpL:13412.1,3733.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(w)),u),w)** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.50  26252[0:MRR:26227.3,9522.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  6286[0:SpL:5744.1,1606.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  46719[0:SpL:3704.0,3735.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  71783[0:Res:428.2,24466.0] class_Orderings_Oorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  71786[0:Res:1639.2,24466.0] class_Orderings_Olinorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  78796[8:SpL:13412.1,49245.0] || equal(u,v)* equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.50  78804[8:SpL:6450.1,49245.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  2466[0:SpL:2135.1,1606.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.50  10094[0:SpR:9370.1,437.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),v)),u))*.
% 299.83/300.50  17480[0:Rew:2545.0,17423.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),w)** -> equal(u,v)*.
% 299.83/300.50  6295[0:SpL:5744.1,376.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  20922[0:Res:579.1,1606.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  46538[0:SpL:3703.0,3735.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  59104[0:Res:382.1,915.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.50  61077[4:Res:42157.0,1650.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.50  61122[4:Res:42157.0,12569.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(c_fequal(v))))*.
% 299.83/300.50  62895[4:Res:61109.1,12569.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(c_fequal(v))))*.
% 299.83/300.50  61117[4:Res:42157.0,383.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.83/300.50  62893[4:Res:61109.1,383.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.50  25338[8:SpL:5744.1,20599.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(hAPP(c_Nat_OSuc,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  8058[0:SpL:5744.1,8050.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf48(c_fequal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))),skf48(c_Int_Onat))** -> .
% 299.83/300.50  25345[8:SpL:5744.1,20600.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(hAPP(c_Nat_OSuc,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  8145[0:SpL:5744.1,8118.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_fequal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))),skf48(c_Int_Onat))** -> .
% 299.83/300.50  8093[0:SpL:2070.1,8051.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> .
% 299.83/300.50  12853[0:Rew:12519.0,8094.1] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> .
% 299.83/300.50  17726[0:SpL:13680.1,7999.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> .
% 299.83/300.50  17727[3:SpL:13680.1,8052.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_fNot))** -> .
% 299.83/300.50  17728[0:SpL:13680.1,8053.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf60(c_Int_Onat))** -> .
% 299.83/300.50  25342[8:SpL:5744.1,20599.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  55751[0:SpL:13680.1,55412.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf49(c_Int_Onat))** -> .
% 299.83/300.50  8149[0:SpL:2070.1,8119.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat)) -> .
% 299.83/300.50  12852[0:Rew:12519.0,8150.1] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf48(c_Int_Onat))** -> .
% 299.83/300.50  17731[0:SpL:13680.1,8097.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> .
% 299.83/300.50  17732[3:SpL:13680.1,8120.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_fNot))** -> .
% 299.83/300.50  17733[0:SpL:13680.1,8121.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf60(c_Int_Onat))** -> .
% 299.83/300.50  25349[8:SpL:5744.1,20600.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  55754[0:SpL:13680.1,55413.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf49(c_Int_Onat))** -> .
% 299.83/300.50  78775[0:Res:48874.0,656.2] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.50  74679[0:SpL:2170.1,28388.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(skf50(skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> .
% 299.83/300.50  66225[0:SpL:2135.1,38557.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.50  69235[0:SpL:12874.1,64811.0] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.50  10369[2:MRR:10357.2,4368.0] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  16747[2:MRR:16737.2,9233.1] class_Groups_Ogroup__add(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  5034[2:MRR:4972.1,4368.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.83/300.50  5003[0:Res:290.1,4192.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.83/300.50  6288[0:SpL:5744.1,4356.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,u))* -> .
% 299.83/300.50  74054[0:SpL:12589.1,73421.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.50  74377[0:SpL:12589.1,27654.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** equal(u,skf60(c_Int_Onat)) -> .
% 299.83/300.50  74395[3:SpL:12589.1,27737.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** equal(u,skf47(c_fNot)) -> .
% 299.83/300.50  69164[0:SpR:13412.1,64780.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(c_Int_Onat__aux(v,u)))))*.
% 299.83/300.50  64753[0:SpR:13147.1,64734.0] || equal(skf48(c_fequal(skf64(u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  69184[0:SpR:12874.1,64780.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.83/300.50  27091[0:SpL:5744.1,26496.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  27072[0:SpL:5744.1,26476.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  27055[0:SpL:5744.1,26429.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  27033[0:SpL:5744.1,26402.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  27095[0:SpL:5744.1,26496.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  27076[0:SpL:5744.1,26476.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  27059[0:SpL:5744.1,26429.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  27037[0:SpL:5744.1,26402.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  69188[0:SpR:5744.1,64780.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.83/300.50  53692[2:Res:53622.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  78440[0:SpR:12589.1,42448.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.83/300.50  78487[0:SpR:12874.1,78447.0] || equal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.83/300.50  26487[0:SpL:5744.1,25386.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26469[0:SpL:5744.1,25385.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26416[0:SpL:5744.1,25384.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26395[0:SpL:5744.1,25383.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  26491[0:SpL:5744.1,25386.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  26473[0:SpL:5744.1,25385.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  26420[0:SpL:5744.1,25384.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  26399[0:SpL:5744.1,25383.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> .
% 299.83/300.50  78491[0:SpR:5744.1,78447.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.50  29469[0:SpL:2135.1,28831.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.50  28404[0:SpL:2170.1,10011.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(skf50(skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> .
% 299.83/300.50  28023[2:SpL:5744.1,9272.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  78513[0:SpL:13147.1,78504.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  78732[0:SpR:5744.1,48874.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.50  75090[0:SpR:5744.1,29873.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.50  22527[0:SSi:22464.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.83/300.50  74689[0:SpL:2170.1,28828.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  77557[0:SpL:2170.1,38559.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  5000[0:Res:1608.1,4192.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.50  25254[0:SpL:2135.1,9628.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.50  65916[4:SpR:12260.1,65911.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  4999[0:Res:375.1,4192.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.50  5005[0:Res:1608.0,4192.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.50  28320[0:SpL:2170.1,9640.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  74556[0:SpL:2170.1,28283.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  28258[0:SpL:2170.1,9639.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  77635[0:SpL:2170.1,39778.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> .
% 299.83/300.50  27760[0:SpL:2170.1,6897.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat))** equal(u,skf48(c_fNot)) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> .
% 299.83/300.50  29795[0:SpL:12589.1,12854.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(skf57(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat))** -> .
% 299.83/300.50  79041[0:SpL:12589.1,51271.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(skf46(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Int_Onat))** -> .
% 299.83/300.50  4321[0:SpL:2170.1,383.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(u)) hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(u,v))*.
% 299.83/300.50  25256[0:SpL:5744.1,9628.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))* -> .
% 299.83/300.50  27436[0:SpL:2170.1,6276.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(u,skf47(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.50  27651[0:SpL:2170.1,6541.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf47(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Int_Onat)) -> .
% 299.83/300.50  27734[3:SpL:2170.1,6580.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf47(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf47(c_fNot)) -> .
% 299.83/300.50  27748[0:SpL:2170.1,6799.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf48(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf48(c_fNot)) -> .
% 299.83/300.50  29472[0:SpL:5744.1,28831.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  29806[0:SpR:5744.1,16179.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.83/300.50  29848[0:SpR:5744.1,16181.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.83/300.50  4994[0:Res:325.1,4192.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))*.
% 299.83/300.50  25695[0:SpL:5744.1,25683.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  25676[0:SpL:5744.1,25387.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  66228[0:SpL:5744.1,38557.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  66290[0:SpL:5744.1,38558.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  67330[0:SpL:5744.1,38535.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  67382[0:SpL:5744.1,38536.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  67400[0:SpL:5744.1,38537.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  67438[0:SpL:5744.1,38538.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.50  69239[0:SpL:5744.1,64811.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,v)))),u))* -> .
% 299.83/300.50  74057[0:SpL:5744.1,73422.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_fequal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))),skf47(c_Int_Onat))** -> .
% 299.83/300.50  74909[0:SpR:5744.1,29814.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.83/300.50  75029[0:SpR:5744.1,29832.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.83/300.50  75093[0:SpR:5744.1,29873.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),v))*.
% 299.83/300.50  78735[0:SpR:5744.1,48874.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),v))*.
% 299.83/300.50  79055[0:SpL:5744.1,51534.1] || equal(u,v)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)))* -> .
% 299.83/300.50  79376[0:SpL:2170.1,51610.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(u,skf48(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf46(c_Int_Onat)) -> .
% 299.83/300.50  74171[0:SSi:74118.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.50  74172[0:SSi:74119.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.50  20458[0:Obv:20431.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.83/300.50  25699[0:SpL:5744.1,25683.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> .
% 299.83/300.50  25680[0:SpL:5744.1,25387.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> .
% 299.83/300.50  67343[0:SpL:5744.1,38535.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(v)),u))* -> .
% 299.83/300.50  67387[0:SpL:5744.1,38536.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(v)),u))* -> .
% 299.83/300.50  67418[0:SpL:5744.1,38537.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(v)),u))* -> .
% 299.83/300.50  67443[0:SpL:5744.1,38538.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(v)),u))* -> .
% 299.83/300.50  74015[0:SSi:73945.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.50  74016[0:SSi:73946.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.50  74062[0:SpL:12589.1,73422.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.50  17614[0:SpL:13147.1,6792.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.50  51840[0:SpL:13147.1,51596.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.50  74061[0:SpL:12874.1,73422.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  14819[0:SpR:12545.1,3732.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),skf64(u)),v)**.
% 299.83/300.50  20455[0:SSi:20421.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))**.
% 299.83/300.50  27773[0:SpL:12545.1,7189.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(skf64(u),skf48(c_fNot))** equal(u,skf48(c_Int_Onat)) -> .
% 299.83/300.50  29803[0:SpL:12545.1,12854.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(skf64(u),skf57(c_Int_Onat))** equal(u,skf48(c_Int_Onat)) -> .
% 299.83/300.50  14822[0:SpR:12545.1,3634.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.50  40529[0:Rew:12951.1,40504.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(c_Nat_OSuc,v))),skf48(c_fequal(c_Int_Onat__aux(u,v))))*.
% 299.83/300.50  67338[0:SpL:9234.1,38535.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.50  74385[0:SpL:12545.1,27654.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(u,skf47(c_Int_Onat)) equal(skf64(u),skf60(c_Int_Onat))** -> .
% 299.83/300.50  74403[3:SpL:12545.1,27737.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(u,skf47(c_Int_Onat)) equal(skf64(u),skf47(c_fNot))** -> .
% 299.83/300.50  74535[2:SpL:12874.1,28032.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fNot))** equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* -> .
% 299.83/300.50  74814[0:SpL:12545.1,28829.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),u))* -> .
% 299.83/300.50  76245[0:SpL:9234.1,38540.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> .
% 299.83/300.50  76587[0:SpL:9234.1,38545.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> .
% 299.83/300.50  76622[0:SpL:9234.1,38546.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> .
% 299.83/300.50  77140[0:SpL:9234.1,38547.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> .
% 299.83/300.50  77315[0:SpL:12545.1,38552.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),u))* -> .
% 299.83/300.50  78480[0:Rew:14823.1,78448.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  79049[0:SpL:12545.1,51271.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(skf64(u),skf46(c_Int_Onat))** equal(u,skf48(c_Int_Onat)) -> .
% 299.83/300.50  53593[2:Res:783.1,52308.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.50  53594[2:Res:785.1,52308.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.50  44953[0:SpL:1657.0,22515.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))** -> .
% 299.83/300.50  56503[0:Res:785.1,55301.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  56502[0:Res:783.1,55301.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  45357[0:Res:783.1,38532.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  45296[0:Res:785.1,38532.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  45599[0:Res:25418.0,786.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.50  56166[0:Res:785.1,55085.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  56165[0:Res:783.1,55085.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  45358[0:Res:783.1,38533.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  45297[0:Res:785.1,38533.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u))* -> .
% 299.83/300.50  45598[0:Res:11908.0,786.0] ||  -> SkP0(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.50  28226[0:SpL:12609.0,12642.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  45592[0:Res:5747.1,786.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.50  19570[0:Res:587.1,429.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.83/300.50  75031[0:SpR:5744.1,29832.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))*.
% 299.83/300.50  19554[0:SpR:414.0,587.1] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))*.
% 299.83/300.50  12926[0:Rew:12519.0,12925.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(u)),skf48(c_fequal(c_Int_Onat__aux(skf48(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.50  12628[0:Rew:12519.0,12194.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(u)),skf48(c_fequal(c_Int_Onat__aux(skf60(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.50  12627[0:Rew:12519.0,12391.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf57(u)),skf48(c_fequal(c_Int_Onat__aux(skf57(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.50  70590[0:SSi:70565.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))** -> .
% 299.83/300.50  29820[0:SpR:5744.1,16179.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.83/300.50  75052[0:SpR:5744.1,29832.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  40533[0:Rew:3654.0,40487.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),skf57(v)),skf48(c_fequal(c_Int_Onat__aux(skf57(v),u))))**.
% 299.83/300.50  17193[2:MRR:17081.2,12340.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  17189[2:MRR:17090.1,12340.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)))))*.
% 299.83/300.50  17152[0:Res:290.1,12380.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),skf57(v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),skf57(v)))))*.
% 299.83/300.50  17216[2:SpR:12435.1,14875.1] hBOOL(u) || equal(skf57(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.83/300.50  53427[0:Res:12637.1,12362.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf57(v))))* equal(skf48(c_fequal(skf62(u,skf57(v)))),skf57(v)).
% 299.83/300.50  12647[0:Rew:12519.0,6303.2] || equal(u,skf57(v)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,skf48(c_fequal(w))))*.
% 299.83/300.50  77998[0:SpR:12435.1,40098.0] || equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(u))*.
% 299.83/300.50  78057[0:SpR:12435.1,40111.0] || equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf57(u))*.
% 299.83/300.50  78134[0:SpR:12435.1,40124.0] || equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78401[0:SpR:12435.1,40162.0] || equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  40500[0:SpR:12552.0,12940.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u)),skf48(c_fequal(v))),skf48(c_fequal(c_Int_Onat__aux(skf57(u),v))))**.
% 299.83/300.50  17147[0:Res:1608.1,12380.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf57(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  17155[0:Res:1608.0,12380.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  17146[0:Res:375.1,12380.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  29960[0:SpL:2135.1,16542.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf57(u)))* -> .
% 299.83/300.50  75603[4:SpR:12260.1,75577.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  17209[0:SpR:12435.1,12552.0] || equal(skf57(u),v)* -> equal(skf48(c_fequal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.83/300.50  26959[0:SpL:5744.1,26107.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.50  29962[0:SpL:5744.1,16542.0] || equal(skf57(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))),v))* -> .
% 299.83/300.50  24400[0:SpR:12435.1,24291.0] || equal(skf57(u),v)* -> SkP1(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.50  17237[0:SpL:12435.1,16807.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),x)*.
% 299.83/300.50  17132[0:Res:325.1,12380.0] || equal(skf57(u),v)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v))))*.
% 299.83/300.50  76579[0:SpL:5744.1,38545.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77159[0:SpL:5744.1,38548.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77428[0:SpL:5744.1,38554.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  78013[0:SpR:12435.1,40098.0] || equal(skf57(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78072[0:SpR:12435.1,40111.0] || equal(skf57(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf57(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78106[0:SpR:12435.1,40124.0] || equal(skf57(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf57(u))*.
% 299.83/300.50  78373[0:SpR:12435.1,40162.0] || equal(skf57(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf57(u))*.
% 299.83/300.50  80340[4:SpR:12435.1,80236.1] || equal(skf57(u),v)* equal(skf57(u),skf46(c_Int_Onat))** -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  76592[0:SpL:5744.1,38545.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),v))* -> .
% 299.83/300.50  77164[0:SpL:5744.1,38548.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),v))* -> .
% 299.83/300.50  77446[0:SpL:5744.1,38554.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),v))* -> .
% 299.83/300.50  70203[8:SpL:5744.1,20490.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf57(c_Int_Onat))* -> .
% 299.83/300.50  29794[0:SpL:12874.1,12854.1] || equal(u,v)* equal(skf57(c_Int_Onat),u)* equal(skf48(c_fequal(v)),skf48(c_Int_Onat))** -> .
% 299.83/300.50  76202[0:SpL:5744.1,38539.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),v))* -> .
% 299.83/300.50  76353[0:SpL:5744.1,38542.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),v))* -> .
% 299.83/300.50  76381[0:SpL:5744.1,38543.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),v))* -> .
% 299.83/300.50  76402[0:SpL:5744.1,38544.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),v))* -> .
% 299.83/300.50  76197[0:SpL:5744.1,38539.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  76348[0:SpL:5744.1,38542.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  76376[0:SpL:5744.1,38543.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  76397[0:SpL:5744.1,38544.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  28223[0:SpL:12552.0,12642.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf57(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  74049[0:SpL:5744.1,73421.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf48(c_fequal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))),skf47(c_Int_Onat))** -> .
% 299.83/300.50  73462[8:MRR:73445.0,19248.0] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf47(c_Int_Onat))** -> equal(skf48(c_fequal(skf62(c_Int_Onat,u))),u).
% 299.83/300.50  66389[8:SpR:49088.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),v),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  66385[8:SpR:49088.0,24439.0] ||  -> SkP1(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))))*.
% 299.83/300.50  66419[8:SpL:49088.0,28333.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.83/300.50  66340[8:SpR:49088.0,58532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  66339[8:SpR:49088.0,55206.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  66442[8:SpL:49088.0,9621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.83/300.50  66367[8:SpR:49088.0,18146.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  78783[8:SpR:13412.1,49128.0] || equal(u,skf64(v))* -> SkP1(w,skf62(c_Int_Onat,skf47(c_Int_Onat)),skf50(c_Int_Onat__aux(skf47(c_Int_Onat),u)))*.
% 299.83/300.50  69262[8:SpR:13412.1,66496.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(v,skf50(skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(skf47(c_Int_Onat),u))*.
% 299.83/300.50  66891[8:SpL:13412.1,66497.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),skf50(skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.83/300.50  66459[8:SpL:49088.0,333.0] || hBOOL(hAPP(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> SkP1(c_Nat_OSuc,skf62(c_Int_Onat,skf47(c_Int_Onat)),u).
% 299.83/300.50  66458[8:SpL:49088.0,334.0] || hBOOL(hAPP(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> SkP2(c_Nat_OSuc,skf62(c_Int_Onat,skf47(c_Int_Onat)),u).
% 299.83/300.50  66383[8:SpR:49088.0,23842.1] || equal(skf50(u),skf62(c_Int_Onat,skf47(c_Int_Onat))) -> SkP1(v,u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  53477[8:MRR:53252.1,13562.0] ||  -> hBOOL(hAPP(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))* equal(skf48(c_fequal(skf62(u,skf47(c_Int_Onat)))),skf47(c_Int_Onat)).
% 299.83/300.50  68593[8:SpL:13412.1,49181.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))* -> .
% 299.83/300.50  66363[8:SpR:49088.0,5744.1] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),u) -> equal(hAPP(c_Nat_OSuc,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  66413[8:SpL:49088.0,315.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u))* -> equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),u).
% 299.83/300.50  66390[8:SpR:49088.0,8782.1] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  49203[8:SpL:48262.0,3718.0] || equal(u,c_Int_Onat__aux(skf47(c_Int_Onat),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))*.
% 299.83/300.50  20030[4:SpL:13147.1,19845.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> SkP0(w,u)*.
% 299.83/300.50  17581[4:SpL:13147.1,9129.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> SkP0(u,w)*.
% 299.83/300.50  74376[0:SpL:12874.1,27654.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** equal(u,skf60(c_Int_Onat))* -> .
% 299.83/300.50  73402[0:SpL:5744.1,27439.1] || equal(u,v)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** hBOOL(hAPP(c_Int_Onat,v))* -> .
% 299.83/300.50  74053[0:SpL:12874.1,73421.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(skf48(c_fequal(u)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  27645[0:SpL:5744.1,6541.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* equal(hAPP(c_Int_Onat,v),skf60(c_Int_Onat))** -> .
% 299.83/300.50  27444[0:SpL:5744.1,6276.1] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf47(c_Int_Onat)) hBOOL(hAPP(c_Int_Onat,v))* -> .
% 299.83/300.50  27430[0:SpL:5744.1,6276.1] || equal(u,v)* equal(u,skf47(c_Int_Onat))* hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))* -> .
% 299.83/300.50  66896[8:SpL:6450.1,66497.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.83/300.50  68490[8:SpR:6450.1,49083.0] || equal(u,skf47(c_Int_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(u,v)))*.
% 299.83/300.50  68598[8:SpL:6450.1,49181.0] || equal(u,skf47(c_Int_Onat)) equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.83/300.50  69267[8:SpR:6450.1,66496.0] || equal(u,skf47(c_Int_Onat)) -> SkP1(v,skf50(skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  78788[8:SpR:6450.1,49128.0] || equal(u,skf47(c_Int_Onat)) -> SkP1(v,skf62(c_Int_Onat,skf47(c_Int_Onat)),skf50(c_Int_Onat__aux(u,skf64(w))))*.
% 299.83/300.50  77996[0:SpR:13680.1,40098.0] || equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(u))*.
% 299.83/300.50  78055[0:SpR:13680.1,40111.0] || equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(u))*.
% 299.83/300.50  78132[0:SpR:13680.1,40124.0] || equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78399[0:SpR:13680.1,40162.0] || equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  40502[0:SpR:12664.0,12940.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u)),skf48(c_fequal(v))),skf48(c_fequal(c_Int_Onat__aux(skf47(u),v))))**.
% 299.83/300.50  21074[0:Res:1608.1,16218.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf47(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  21087[0:Res:1608.0,16218.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  21073[0:Res:375.1,16218.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  30020[0:SpL:2135.1,16584.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf47(u)))* -> .
% 299.83/300.50  75645[4:SpR:12260.1,75579.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  77145[0:SpL:5744.1,38547.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),v))* -> .
% 299.83/300.50  77534[0:SpL:5744.1,38556.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),v))* -> .
% 299.83/300.50  17678[0:SpR:13680.1,12664.0] || equal(skf47(u),v)* -> equal(skf48(c_fequal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.83/300.50  26990[0:SpL:5744.1,26109.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.50  30022[0:SpL:5744.1,16584.0] || equal(skf47(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))),v))* -> .
% 299.83/300.50  24436[0:SpR:13680.1,24293.0] || equal(skf47(u),v)* -> SkP1(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.50  17717[0:SpL:13680.1,16809.0] || equal(skf47(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),x)*.
% 299.83/300.50  21059[0:Res:325.1,16218.0] || equal(skf47(u),v)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v))))*.
% 299.83/300.50  77132[0:SpL:5744.1,38547.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77516[0:SpL:5744.1,38556.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  78011[0:SpR:13680.1,40098.0] || equal(skf47(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78070[0:SpR:13680.1,40111.0] || equal(skf47(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78104[0:SpR:13680.1,40124.0] || equal(skf47(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf47(u))*.
% 299.83/300.50  78371[0:SpR:13680.1,40162.0] || equal(skf47(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf47(u))*.
% 299.83/300.50  80356[4:SpR:13680.1,80238.1] || equal(skf47(u),v)* equal(skf47(u),skf46(c_Int_Onat))** -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  40531[0:Rew:3654.0,40489.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),skf47(v)),skf48(c_fequal(c_Int_Onat__aux(skf47(v),u))))**.
% 299.83/300.50  21131[2:MRR:21005.2,13532.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  21127[2:MRR:21015.1,13532.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)))))*.
% 299.83/300.50  21082[0:Res:290.1,16218.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),skf47(v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),skf47(v)))))*.
% 299.83/300.50  17694[2:SpR:13680.1,14877.1] hBOOL(u) || equal(skf47(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.83/300.50  53429[0:Res:12637.1,13562.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf47(v))))* equal(skf48(c_fequal(skf62(u,skf47(v)))),skf47(v)).
% 299.83/300.50  6305[0:SpL:5744.1,383.0] || equal(u,hAPP(c_Int_Onat,skf47(v)))* hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,w))*.
% 299.83/300.50  6275[0:SpL:5744.1,383.0] || equal(u,skf47(v)) hBOOL(hAPP(v,hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(v,w))*.
% 299.83/300.50  68927[0:SpL:5744.1,55492.0] || equal(skf47(c_fNot),u) equal(hAPP(c_Int_Onat,u),skf49(c_fNot))** -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.50  27728[3:SpL:5744.1,6580.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* equal(hAPP(c_Int_Onat,v),skf47(c_fNot))** -> .
% 299.83/300.50  74394[3:SpL:12874.1,27737.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** equal(u,skf47(c_fNot))* -> .
% 299.83/300.50  76326[0:SpL:5744.1,38541.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),v))* -> .
% 299.83/300.50  77191[0:SpL:5744.1,38549.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),v))* -> .
% 299.83/300.50  77240[0:SpL:5744.1,38550.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),v))* -> .
% 299.83/300.50  76321[0:SpL:5744.1,38541.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77186[0:SpL:5744.1,38549.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77235[0:SpL:5744.1,38550.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  28225[0:SpL:12664.0,12642.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf47(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  80220[4:SpR:13147.1,80212.1] || equal(skf48(u),v)* equal(skf48(u),skf46(c_Int_Onat))** -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  79370[0:SpL:5744.1,51610.1] || equal(u,v)* equal(u,skf48(c_Int_Onat))* equal(hAPP(c_Int_Onat,v),skf46(c_Int_Onat))** -> .
% 299.83/300.50  80135[4:SpL:5744.1,52530.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),skf46(c_Int_Onat))** -> .
% 299.83/300.50  80341[4:SpR:12260.1,80237.1] || equal(skf60(u),v)* equal(skf60(u),skf46(c_Int_Onat))** -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  51793[0:SpL:13147.1,51595.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.50  53223[0:SpL:13147.1,51588.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf46(c_Int_Onat))** hBOOL(u) -> .
% 299.83/300.50  79025[8:SpL:5744.1,51267.1] || equal(u,v)* equal(skf46(c_Int_Onat),u)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  79040[0:SpL:12874.1,51271.1] || equal(u,v)* equal(skf46(c_Int_Onat),u)* equal(skf48(c_fequal(v)),skf48(c_Int_Onat))** -> .
% 299.83/300.50  72050[0:SpR:957.1,24274.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> SkP1(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))*.
% 299.83/300.50  10221[0:SpR:10150.1,2439.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP2(c_Power_Opower_Opower(w,v,x),y,skf50(u))*.
% 299.83/300.50  24550[0:SpR:10150.1,24444.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP0(v,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w)))* SkP1(x,w,skf50(u))*.
% 299.83/300.50  10220[0:SpR:10150.1,2373.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(v) -> SkP1(c_Power_Opower_Opower(w,v,x),y,skf50(u))*.
% 299.83/300.50  10217[0:SpR:10150.1,2403.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) -> SkP2(c_Nat_OSuc,skf50(u),v)*.
% 299.83/300.50  23517[0:SpR:10150.1,20457.1] class_Rings_Oring__1(tc_Nat_Onat) || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),skf50(u)),skf50(u))**.
% 299.83/300.50  71535[0:SpR:10150.1,71409.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),skf50(u)),skf50(u))**.
% 299.83/300.50  10298[0:SSi:10255.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(tc_Nat_Onat),skf50(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))**.
% 299.83/300.50  10208[0:SpR:10150.1,319.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,x),y),skf50(u)),w)**.
% 299.83/300.50  11187[0:SpR:9385.1,382.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(v,skf50(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.83/300.50  11193[0:SpR:9385.1,379.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(c_Nat_Onat_Onat__case(v,w,x),u),hAPP(x,skf50(u)))**.
% 299.83/300.50  10207[0:SpR:10150.1,345.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,w,skf50(v),x),x)**.
% 299.83/300.50  72488[0:Rew:19381.0,72487.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.50  72321[0:Rew:267.0,72320.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.50  51746[0:MRR:51718.3,12520.0] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.83/300.50  23521[0:SpL:20457.1,384.0] class_Rings_Oring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.83/300.50  72317[0:Rew:268.0,72316.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.50  47797[0:SpR:3757.0,23327.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),skf64(y)))))))*.
% 299.83/300.50  24602[0:SpR:18149.0,23769.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,w))))* SkP1(x,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),skf64(y))*.
% 299.83/300.50  24617[0:SpR:18149.0,24608.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(v,w))))* SkP1(x,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.50  47771[0:SpR:3757.0,23327.0] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(x,skf64(y)))))))*.
% 299.83/300.50  56317[0:Res:19039.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP0(u,skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.83/300.50  63687[4:SoR:6731.0,61595.2] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),v)* -> SkP0(w,skf48(c_fequal(v)))*.
% 299.83/300.50  19951[0:SpR:13147.1,19655.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP0(w,skf48(c_fequal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))))*.
% 299.83/300.50  19099[0:SpL:18862.1,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),v)** -> SkP0(w,skf48(c_fequal(x)))* equal(x,u)*.
% 299.83/300.50  68776[0:SpL:12874.1,51031.0] || equal(skf46(c_fNot),u) equal(skf48(c_fequal(u)),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.50  47653[4:MRR:47652.1,8759.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  5044[0:SpL:352.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  4577[0:SpL:354.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.83/300.50  5045[0:SpL:352.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  4578[0:SpL:354.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.83/300.50  16307[0:Res:290.1,12183.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),skf60(v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),skf60(v)))))*.
% 299.83/300.50  17366[0:Res:290.1,12538.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),skf48(v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),skf48(v)))))*.
% 299.83/300.50  3547[0:Res:309.1,384.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(u),v)))))*.
% 299.83/300.50  42342[0:SpR:687.1,508.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.83/300.50  43798[0:SpR:742.0,310.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),y),c_Groups_Oone__class_Oone(u)))*.
% 299.83/300.50  47642[4:MRR:47641.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf62(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  47648[4:MRR:47647.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  47655[4:MRR:47654.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  65756[0:Res:290.1,940.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.83/300.50  19874[0:SpL:565.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> SkP2(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.50  19875[0:SpL:565.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> SkP1(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.50  23151[0:SpL:555.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> SkP2(c_Groups_Otimes__class_Otimes(u),w,v).
% 299.83/300.50  23152[0:SpL:555.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> SkP1(c_Groups_Otimes__class_Otimes(u),w,v).
% 299.83/300.50  22882[0:SpL:556.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> SkP2(c_Groups_Oplus__class_Oplus(u),w,v).
% 299.83/300.50  22883[0:SpL:556.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> SkP1(c_Groups_Oplus__class_Oplus(u),w,v).
% 299.83/300.50  5207[0:SpL:350.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  5106[0:SpL:364.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)*.
% 299.83/300.50  3234[0:SpL:369.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)*.
% 299.83/300.50  4630[0:SpL:365.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  4718[0:SpL:351.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.83/300.50  4675[0:SpL:363.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  5107[0:SpL:364.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)*.
% 299.83/300.50  5208[0:SpL:350.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  3235[0:SpL:369.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)*.
% 299.83/300.50  4631[0:SpL:365.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  4719[0:SpL:351.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.83/300.50  4676[0:SpL:363.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  47651[4:MRR:47650.1,8759.0] class_Groups_Omonoid__add(u) || hBOOL(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  4808[0:SpL:353.1,334.0] class_Groups_Omonoid__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  4482[0:SpL:355.1,334.0] class_Groups_Omonoid__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.83/300.50  4809[0:SpL:353.1,333.0] class_Groups_Omonoid__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  4483[0:SpL:355.1,333.0] class_Groups_Omonoid__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.83/300.50  47646[4:MRR:47645.1,8759.0] class_Groups_Omonoid__mult(u) || hBOOL(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  4949[0:SpL:361.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)*.
% 299.83/300.50  3185[0:SpL:372.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)*.
% 299.83/300.50  4557[0:SpL:359.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  4950[0:SpL:361.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)*.
% 299.83/300.50  3186[0:SpL:372.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)*.
% 299.83/300.50  4558[0:SpL:359.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  47644[4:MRR:47643.1,8759.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  4925[0:SpL:362.1,334.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)*.
% 299.83/300.50  4525[0:SpL:360.1,334.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  4926[0:SpL:362.1,333.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)*.
% 299.83/300.50  4526[0:SpL:360.1,333.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)*.
% 299.83/300.50  29245[0:SpL:2526.0,12641.0] || hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  42003[4:SpR:3705.1,8769.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(u,v)),v)*.
% 299.83/300.50  61072[4:Res:42157.0,733.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)) equal(v,u).
% 299.83/300.50  20042[4:SpR:13147.1,19042.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,x)*.
% 299.83/300.50  21799[0:SpR:13147.1,21246.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(skf45(u,x),x)**.
% 299.83/300.50  22252[0:SpR:13147.1,21770.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(skf44(u,x),x)**.
% 299.83/300.50  63747[4:SpR:13147.1,63691.1] || equal(skf48(c_fequal(u)),v)* equal(skf49(c_fNot),u) -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  19927[0:SpR:13147.1,19611.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),w)* -> SkP0(x,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.50  19971[0:SpR:13147.1,19655.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))),w)* -> SkP0(x,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.50  23428[0:SpR:13147.1,23327.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,skf64(w))))),x)* -> SkP0(y,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,x))*.
% 299.83/300.50  16802[0:SpL:12260.1,16589.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),x)*.
% 299.83/300.50  17568[0:SpL:13147.1,16808.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),x)*.
% 299.83/300.50  77784[16:SpR:10413.1,77750.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf50(u)))*.
% 299.83/300.50  79975[2:SpR:5744.1,52297.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  28806[0:Res:26189.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),u).
% 299.83/300.50  53588[2:SpL:13147.1,52288.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> hBOOL(v)*.
% 299.83/300.50  5795[0:SpR:5744.1,395.2] hBOOL(u) hBOOL(v) || equal(w,v)* -> hBOOL(hAPP(hAPP(c_fconj,u),w))*.
% 299.83/300.50  5790[0:SpR:5744.1,395.2] hBOOL(u) hBOOL(v) || equal(w,u)* -> hBOOL(hAPP(hAPP(c_fconj,w),v))*.
% 299.83/300.50  16635[2:SpR:12260.1,14876.1] hBOOL(u) || equal(skf60(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.83/300.50  17547[2:SpR:13147.1,14874.1] hBOOL(u) || equal(skf48(v),w)* -> hBOOL(hAPP(hAPP(c_fconj,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.83/300.50  10644[0:Con:10531.1] hBOOL(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),c_Orderings_Oord__class_OLeast(v,hAPP(c_fconj,u))))*.
% 299.83/300.50  12045[0:SpR:10413.1,10206.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP1(w,skf50(u),x)*.
% 299.83/300.50  19778[8:SpR:10413.1,19252.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(hAPP(c_Int_Onat,skf50(u)))*.
% 299.83/300.50  70188[8:SpL:5744.1,20477.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf48(c_fNot))* -> .
% 299.83/300.50  79053[0:SpL:5744.1,51472.1] || equal(u,v)* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* hBOOL(skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)))* -> .
% 299.83/300.50  55174[0:Res:54123.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.83/300.50  47738[0:SpR:3757.0,18525.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.83/300.50  30183[0:SpR:6450.1,18644.0] || equal(u,skf48(c_fequal(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,w)))*.
% 299.83/300.50  30170[0:SpR:12874.1,18644.0] || equal(skf64(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.83/300.50  30108[0:SpR:13412.1,18522.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(v,c_Int_Onat__aux(w,u))))*.
% 299.83/300.50  30129[0:SpR:13412.1,18522.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(w,u)))*.
% 299.83/300.50  30145[0:SpR:5744.1,18522.0] || equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.83/300.50  30193[0:SpR:5744.1,18644.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.83/300.50  55154[0:MRR:55153.1,54587.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.50  59009[0:MRR:58987.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.83/300.50  77304[2:Rew:1878.0,77260.1] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  74904[2:Rew:1878.0,74860.1] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  26951[0:SpL:5744.1,26106.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.50  26976[0:SpL:5744.1,26108.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.50  79628[2:SpR:5744.1,52296.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.50  41896[0:MRR:41834.0,1936.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.50  25267[0:SpL:5744.1,9629.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  21839[0:Res:5017.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.83/300.50  21292[0:Res:5017.0,21243.0] ||  -> equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.83/300.50  25265[0:SpL:2135.1,9629.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.50  65935[4:SpR:12260.1,65930.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  72156[0:Rew:263.0,72155.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.50  72152[0:Rew:262.0,72151.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.50  55473[0:MRR:55472.2,10007.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),skf50(skf64(u)))))* -> .
% 299.83/300.50  55077[0:Res:54122.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u))* -> equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),u).
% 299.83/300.50  27492[0:SpR:3622.0,3682.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  27405[0:SpR:3622.0,3681.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  24758[0:SpR:13412.1,3634.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.83/300.50  69031[0:Res:64648.0,12546.0] ||  -> equal(skf48(c_fequal(skf64(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.50  30059[0:SpL:2135.1,18201.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.50  30043[0:SpL:13412.1,18201.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.50  30061[0:SpL:5744.1,18201.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),u))* -> .
% 299.83/300.50  69889[0:SpL:13412.1,20169.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(c_Int_Onat__aux(skf48(c_fequal(skf64(w))),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  5961[0:SpR:5744.1,369.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v),w)**.
% 299.83/300.50  5962[0:SpR:5744.1,372.1] class_Groups_Omonoid__mult(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v),w)**.
% 299.83/300.50  69801[0:SpL:13412.1,20135.0] || equal(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  63378[0:MRR:63377.4,2145.0] class_Rings_Oring__1__no__zero__divisors(tc_Nat_Onat) || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(v,u)*.
% 299.83/300.50  69883[0:SpL:12874.1,20169.0] || equal(skf64(u),v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  24711[0:SpR:13412.1,2872.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(v,u)),c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  69823[0:SpL:13412.1,20135.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* equal(c_Int_Onat__aux(w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  69795[0:SpL:5744.1,20135.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Int_Onat__aux(v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  69895[0:SpL:6450.1,20169.0] || equal(u,skf48(c_fequal(skf64(v))))* equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  28037[0:SpR:9489.0,5744.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),u),skf50(skf64(v)))**.
% 299.83/300.50  66626[0:Rew:2545.0,66625.1,12610.0,66625.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.83/300.50  71975[0:Rew:272.0,71974.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.83/300.50  66632[0:Rew:3614.0,66631.1,2525.0,66631.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.83/300.50  71981[0:Rew:273.0,71980.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.83/300.50  58776[0:Rew:15222.0,58759.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.83/300.50  63128[0:SpR:2872.0,63096.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.83/300.50  8376[0:SpR:2872.0,7330.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.83/300.50  24264[0:SpL:2872.0,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> SkP1(w,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)*.
% 299.83/300.50  77253[0:SpL:5744.1,38551.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))),u))* -> .
% 299.83/300.50  74853[0:SpL:5744.1,28830.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))),u))* -> .
% 299.83/300.50  20243[0:SpL:3632.0,3710.0] || equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))*.
% 299.83/300.50  28255[0:SpL:5744.1,9639.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))* -> .
% 299.83/300.50  28317[0:SpL:5744.1,9640.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))* -> .
% 299.83/300.50  62861[4:SpR:2872.0,61109.1] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u)).
% 299.83/300.50  28312[0:SpL:2135.1,9640.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))),u))* -> .
% 299.83/300.50  28328[0:Res:3722.1,9640.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))),u))* -> .
% 299.83/300.50  28263[0:SpL:5744.1,9639.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),v))* -> .
% 299.83/300.50  28266[0:Res:3722.1,9639.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))),u))* -> .
% 299.83/300.50  12922[0:Rew:12519.0,12630.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),skf48(c_fequal(v))))*.
% 299.83/300.50  16599[0:SpR:12260.1,12553.0] || equal(skf60(u),v)* -> equal(skf48(c_fequal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.83/300.50  17498[0:SpR:13147.1,12551.0] || equal(skf48(u),v)* -> equal(skf48(c_fequal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.83/300.50  61644[0:SpR:687.1,46475.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  58329[4:SpR:687.1,54406.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  76627[0:SpL:5744.1,38546.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),v))* -> .
% 299.83/300.50  77493[0:SpL:5744.1,38555.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),v))* -> .
% 299.83/300.50  78374[0:SpR:12260.1,40162.0] || equal(skf60(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf60(u))*.
% 299.83/300.50  78107[0:SpR:12260.1,40124.0] || equal(skf60(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf60(u))*.
% 299.83/300.50  78073[0:SpR:12260.1,40111.0] || equal(skf60(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78014[0:SpR:12260.1,40098.0] || equal(skf60(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  27764[0:SpL:12874.1,7189.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(skf48(c_fequal(v)),skf48(c_Int_Onat))** -> .
% 299.83/300.50  27757[0:SpL:5744.1,6897.1] || equal(skf48(c_Int_Onat),u) equal(v,skf48(c_fNot)) equal(v,hAPP(c_Int_Onat,u))* -> .
% 299.83/300.50  3385[0:SpR:316.1,382.1] || equal(u,v)* equal(w,u)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  27742[0:SpL:5744.1,6799.1] || equal(u,v)* equal(skf48(c_Int_Onat),u)* equal(hAPP(c_Int_Onat,v),skf48(c_fNot))** -> .
% 299.83/300.50  80153[4:SpL:5744.1,52537.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),skf48(c_fNot))** -> .
% 299.83/300.50  30196[0:Res:18644.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))**.
% 299.83/300.50  77271[0:SpL:2135.1,38551.0] || equal(hAPP(c_Int_Onat,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),u))* -> .
% 299.83/300.50  78452[0:SpR:5744.1,42448.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.83/300.50  76250[0:SpL:5744.1,38540.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),v))* -> .
% 299.83/300.50  77640[0:SpL:5744.1,39778.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),v))* -> .
% 299.83/300.50  77562[0:SpL:5744.1,38559.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),v))* -> .
% 299.83/300.50  77370[0:SpL:5744.1,38553.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),v))* -> .
% 299.83/300.50  77324[0:SpL:5744.1,38552.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> .
% 299.83/300.50  53428[0:Res:12637.1,12520.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf48(v))))* equal(skf48(c_fequal(skf62(u,skf48(v)))),skf48(v)).
% 299.83/300.50  53426[0:Res:12637.1,12167.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf60(v))))* equal(skf48(c_fequal(skf62(u,skf60(v)))),skf60(v)).
% 299.83/300.50  46230[0:SSi:46180.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))))*.
% 299.83/300.50  46233[0:SSi:46186.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))))*.
% 299.83/300.50  16284[0:Res:325.1,12183.0] || equal(skf60(u),v)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v))))*.
% 299.83/300.50  17346[0:Res:325.1,12538.0] || equal(skf48(u),v)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v))))*.
% 299.83/300.50  46637[0:SpR:3704.0,2527.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w))*.
% 299.83/300.50  46457[0:SpR:3703.0,2527.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  24200[0:SpR:18149.0,12060.1] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),skf64(w)) -> SkP1(x,c_Int_Onat__aux(u,v),skf64(w))*.
% 299.83/300.50  45693[0:SpR:742.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),y),z),hAPP(c_Nat_OSuc,z))*.
% 299.83/300.50  78056[0:SpR:13147.1,40111.0] || equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(u))*.
% 299.83/300.50  78372[0:SpR:13147.1,40162.0] || equal(skf48(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(u))*.
% 299.83/300.50  78058[0:SpR:12260.1,40111.0] || equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(u))*.
% 299.83/300.50  40680[0:Res:740.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))* -> .
% 299.83/300.50  22223[0:SpL:3632.0,6391.0] || equal(u,c_Int_Onat__aux(v,w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),hAPP(c_Int_Onat,v))*.
% 299.83/300.50  42150[4:SpR:3709.1,8769.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),u)*.
% 299.83/300.50  68349[0:Rew:12551.0,68329.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)))*.
% 299.83/300.50  5989[0:SpR:5744.1,3732.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.83/300.50  68348[0:Rew:12551.0,68330.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)))*.
% 299.83/300.50  28063[0:SpR:9490.0,5744.1] || equal(skf50(skf64(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.50  28049[0:SpR:5744.1,9489.0] || equal(skf64(u),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf50(skf64(u)))*.
% 299.83/300.50  28079[0:SpR:5744.1,9490.0] || equal(skf64(u),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf50(skf64(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.50  69136[0:Rew:3749.0,69105.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))),v))* -> .
% 299.83/300.50  5971[0:SpR:5744.1,3732.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u),w)**.
% 299.83/300.50  7488[0:SpR:6450.1,3732.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,w)),u),w)**.
% 299.83/300.50  22549[0:SpR:18347.0,3732.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),u),skf50(skf64(v)))**.
% 299.83/300.50  6649[0:SpR:2526.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  22233[0:SpL:3654.0,6391.0] || equal(u,c_Int_Onat__aux(v,w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,v)),w)*.
% 299.83/300.50  62978[0:Res:740.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),v)*.
% 299.83/300.50  28077[0:SpR:10413.1,9490.0] || equal(u,skf64(v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),skf50(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.50  74429[0:SpR:5744.1,27877.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.50  48581[0:Obv:48577.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(skf36(u,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.50  47762[4:SpR:3757.0,15440.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u))))*.
% 299.83/300.50  21707[0:SpL:3690.1,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf44(u,v)))* -> .
% 299.83/300.50  22817[0:SpR:3690.1,22759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> SkP1(w,skf44(skf64(u),v),skf50(v))*.
% 299.83/300.50  27837[0:Rew:2544.0,27784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.83/300.50  52844[0:Rew:276.0,52798.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))*.
% 299.83/300.50  28537[0:SpL:2135.1,10769.0] || equal(hAPP(c_Nat_OSuc,skf64(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf50(skf64(u))))* -> .
% 299.83/300.50  61435[4:SpL:9487.0,43033.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),skf55(skf50(skf64(u)),v)))* -> hBOOL(skf50(skf64(u))).
% 299.83/300.50  10008[0:SpL:9487.0,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))*.
% 299.83/300.50  55180[0:Res:54123.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u))* -> equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),u).
% 299.83/300.50  48387[0:Res:301.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Nat_OSuc,u),v)* equal(v,u).
% 299.83/300.50  55179[0:Res:54123.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.50  55606[0:Res:55204.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.50  14543[0:Res:513.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))* -> .
% 299.83/300.50  14537[0:SpR:9368.0,513.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.50  12399[0:SpR:9368.0,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.50  74553[0:SpL:5744.1,28283.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))* -> .
% 299.83/300.50  22593[0:SpL:18347.0,3718.0] || equal(u,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.83/300.50  26771[0:Res:378.1,12937.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  26781[0:SSi:26775.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  28140[0:Res:1608.1,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  56136[0:SSi:56115.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  3256[0:SpR:2135.1,1608.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.83/300.50  27982[0:Res:1608.1,3739.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)).
% 299.83/300.50  17369[0:Res:1608.0,12538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  16309[0:Res:1608.0,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.50  74548[0:SpL:2135.1,28283.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))),u))* -> .
% 299.83/300.50  74565[0:Res:3721.1,28283.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))),u))* -> .
% 299.83/300.50  5801[0:SpR:5744.1,1608.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.50  5927[0:SpR:5744.1,375.1] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.83/300.50  26030[0:Res:1608.0,642.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.83/300.50  74425[0:SpR:5744.1,27877.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  74422[0:SpR:5744.1,27877.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.50  74412[0:SpR:5744.1,27877.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  56135[0:SSi:56114.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  56222[0:SSi:56218.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.83/300.50  43791[0:SpR:742.0,348.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y)),y))*.
% 299.83/300.50  27829[0:Res:1608.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.83/300.50  27981[0:Res:375.1,3739.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)).
% 299.83/300.50  28139[0:Res:375.1,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.50  17505[0:SpR:13147.1,3623.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)))*.
% 299.83/300.50  74450[0:Rew:15222.0,74419.0,15222.0,74419.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  16298[0:Res:375.1,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  16299[0:Res:1608.1,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  17360[0:Res:375.1,12538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  17361[0:Res:1608.1,12538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.50  27866[0:SpR:5744.1,7339.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.83/300.50  12462[0:SpR:9368.0,520.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.50  38682[0:SSi:38646.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))* -> .
% 299.83/300.50  26659[0:SSi:26654.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.83/300.50  28261[0:SpL:2135.1,9639.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.83/300.50  28323[0:SpL:2135.1,9640.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.83/300.50  5902[0:SpR:5744.1,382.1] || equal(u,hAPP(c_Nat_OSuc,v))* equal(w,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))*.
% 299.83/300.50  28535[0:SpL:5744.1,10769.0] || equal(skf64(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),skf50(skf64(u))))* -> .
% 299.83/300.50  44217[0:SpL:3705.1,9621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf52(u,v)))* -> .
% 299.83/300.50  26172[0:MRR:26136.1,2829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(v))).
% 299.83/300.50  28539[0:SpL:5744.1,10769.0] || equal(skf50(skf64(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf64(u))),v))* -> .
% 299.83/300.50  29897[0:SpL:5744.1,16430.0] || equal(skf60(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))),v))* -> .
% 299.83/300.50  29999[0:SpL:5744.1,16570.0] || equal(skf48(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))),v))* -> .
% 299.83/300.50  27030[0:SSi:27018.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.83/300.50  27860[0:SpR:5744.1,7339.0] || equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  5393[0:SpR:316.1,3242.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.50  14620[0:Res:468.1,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))*.
% 299.83/300.50  27823[0:Res:382.1,3730.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.50  27857[0:SpR:5744.1,7339.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.50  27848[0:SpR:5744.1,7339.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  41880[0:MRR:41657.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.50  27888[0:Rew:15222.0,27855.0,15222.0,27855.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  3711[0:Rew:3621.0,3078.1] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.50  14984[0:SpR:3753.0,3634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  47750[0:SpR:3757.0,2750.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,u)))))*.
% 299.83/300.50  7506[0:SpR:6450.1,3634.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.50  18158[0:SpR:15222.0,382.1] || equal(u,c_Int_Onat__aux(v,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.50  29895[0:SpL:2135.1,16430.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(u)))* -> .
% 299.83/300.50  28532[0:SpL:10413.1,10769.0] || equal(u,skf64(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf64(v))),skf50(u)))* -> .
% 299.83/300.50  29997[0:SpL:2135.1,16570.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf48(u)))* -> .
% 299.83/300.50  72401[0:SpR:955.1,24282.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> SkP1(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))*.
% 299.83/300.50  78038[0:SpR:5744.1,40111.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78093[0:SSi:78059.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78092[0:SSi:78050.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))*.
% 299.83/300.50  78382[0:SpR:5744.1,40162.0] || equal(u,v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  22789[0:SpR:10413.1,22567.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),skf64(w))* -> SkP1(x,u,skf50(skf64(w)))*.
% 299.83/300.50  23812[0:SpL:558.2,333.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(w) -> SkP1(c_Groups_Oplus__class_Oplus(u),w,v)*.
% 299.83/300.50  28054[0:SpL:9489.0,333.0] || hBOOL(hAPP(skf50(skf64(u)),v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  4394[0:SpL:3731.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w)),w,v)*.
% 299.83/300.50  4415[0:SpL:3732.0,333.0] || hBOOL(hAPP(u,v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),u)),w,v)*.
% 299.83/300.50  5338[0:SpL:393.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),w),w,v)*.
% 299.83/300.50  22818[0:SpR:10413.1,22759.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),skf64(w))* -> SkP1(x,v,skf50(skf64(w)))*.
% 299.83/300.50  47795[0:SpR:3757.0,22546.0] ||  -> SkP1(u,skf50(skf64(v)),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),skf64(v)))))*.
% 299.83/300.50  22697[0:SpR:10413.1,22546.0] || equal(c_Int_Onat__aux(u,skf64(v)),skf64(w))* -> SkP1(x,skf50(skf64(v)),skf50(skf64(w)))*.
% 299.83/300.50  28084[0:SpL:9490.0,333.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),skf50(skf64(v)),u)*.
% 299.83/300.50  22731[0:SpR:10413.1,22563.0] || equal(c_Int_Onat__aux(u,skf64(v)),skf64(w))* -> SkP1(x,hAPP(c_Int_Onat,u),skf50(skf64(w)))*.
% 299.83/300.50  39856[0:Res:694.1,333.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.83/300.50  39986[0:Res:692.1,333.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  22796[0:SpR:13147.1,22759.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP1(w,x,skf50(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)))*.
% 299.83/300.50  22766[0:SpR:13147.1,22567.0] || equal(skf48(c_fequal(u)),v) -> SkP1(w,u,skf50(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(x))))*.
% 299.83/300.50  24347[0:SpR:12260.1,24290.0] || equal(skf60(u),v)* -> SkP1(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.50  24403[0:SpR:13147.1,24292.0] || equal(skf48(u),v)* -> SkP1(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.50  47747[0:SpR:3757.0,3618.0] ||  -> SkP1(u,c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.83/300.50  47770[0:SpR:3757.0,22358.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(x,skf64(y)))))*.
% 299.83/300.50  47796[0:SpR:3757.0,22358.0] ||  -> SkP1(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),skf64(y)))))*.
% 299.83/300.50  17532[0:SpR:13147.1,15581.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))*.
% 299.83/300.50  23858[0:SpR:13147.1,23766.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP1(w,x,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf50(x)))*.
% 299.83/300.50  23757[0:SpR:10413.1,23679.0] || equal(u,skf64(v)) -> SkP1(w,skf64(v),c_Int_Onat__aux(skf48(c_fequal(skf50(u))),skf64(x)))*.
% 299.83/300.50  23761[0:SpR:13147.1,23679.0] || equal(skf48(c_fequal(skf50(u))),v) -> SkP1(w,u,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(x)))*.
% 299.83/300.50  23853[0:SpR:10413.1,23766.0] || equal(u,skf64(v)) -> SkP1(w,skf64(v),c_Int_Onat__aux(skf48(c_fequal(skf64(x))),skf50(u)))*.
% 299.83/300.50  47711[0:SpR:3757.0,24692.1] || equal(u,v) -> SkP1(w,v,c_Int_Onat__aux(skf48(c_fequal(x)),c_Int_Onat__aux(skf48(c_fequal(y)),u)))*.
% 299.83/300.50  2540[0:SpL:386.0,333.0] || hBOOL(hAPP(c_Int_Onat__aux(u,v),w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w)*.
% 299.83/300.50  25300[0:SpL:602.0,333.0] || hBOOL(hAPP(u,hAPP(v,w))) -> SkP1(hAPP(c_COMBB(x,y,z),u),v,w)*.
% 299.83/300.50  5063[0:SpL:394.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  5362[0:SpL:371.1,333.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(v,w)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.83/300.50  5377[0:SpL:356.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.83/300.50  5741[0:SpL:379.0,333.0] || hBOOL(hAPP(hAPP(u,v),w)) -> SkP1(c_Nat_Onat_Onat__case(x,y,u),hAPP(c_Nat_OSuc,v),w)*.
% 299.83/300.50  22501[0:SpL:595.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),w)*.
% 299.83/300.50  22664[0:SpL:594.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)*.
% 299.83/300.50  78071[0:SpR:13147.1,40111.0] || equal(skf48(u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  78422[0:SSi:78403.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  78400[0:SpR:13147.1,40162.0] || equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78402[0:SpR:12260.1,40162.0] || equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78421[0:SSi:78394.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.50  75580[4:SpR:12260.1,75566.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  75619[4:SpR:12260.1,75578.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  74588[4:SpR:13147.1,74566.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  75359[4:SpR:13147.1,75342.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.50  78434[0:SpR:12874.1,42448.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.83/300.50  78424[0:SpR:5744.1,42448.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  78431[0:SpR:15222.0,42448.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,v)))),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  55601[0:Res:55204.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.83/300.50  5904[0:SpR:5744.1,379.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> equal(hAPP(c_Nat_Onat_Onat__case(w,x,y),u),hAPP(y,v))*.
% 299.83/300.50  5910[0:SpR:5744.1,371.1] class_Lattices_Oboolean__algebra(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.83/300.50  5963[0:SpR:5744.1,364.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),w)**.
% 299.83/300.50  5964[0:SpR:5744.1,361.1] class_Groups_Omonoid__mult(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),w)**.
% 299.83/300.50  5965[0:SpR:5744.1,362.1] class_Groups_Ocomm__monoid__mult(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),w)**.
% 299.83/300.50  5966[0:SpR:5744.1,350.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),w)**.
% 299.83/300.50  5967[0:SpR:5744.1,352.1] class_Groups_Ocomm__monoid__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),w)**.
% 299.83/300.50  5968[0:SpR:5744.1,353.1] class_Groups_Omonoid__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),w)**.
% 299.83/300.50  49396[0:Rew:394.1,49395.2] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),w)**.
% 299.83/300.50  5969[0:SpR:5744.1,394.1] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),w)**.
% 299.83/300.50  5864[0:SpR:5744.1,351.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)**.
% 299.83/300.50  5865[0:SpR:5744.1,354.1] class_Groups_Ocomm__monoid__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)**.
% 299.83/300.50  5866[0:SpR:5744.1,355.1] class_Groups_Omonoid__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)**.
% 299.83/300.50  24192[0:Obv:24177.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)**.
% 299.83/300.50  5887[0:SpR:5744.1,363.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),w)**.
% 299.83/300.50  5888[0:SpR:5744.1,359.1] class_Groups_Omonoid__mult(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),w)**.
% 299.83/300.50  5889[0:SpR:5744.1,360.1] class_Groups_Ocomm__monoid__mult(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),w)**.
% 299.83/300.50  5893[0:SpR:5744.1,365.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),w)**.
% 299.83/300.50  49897[0:Rew:356.1,49896.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.83/300.50  70611[0:Rew:70609.1,49886.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.83/300.50  23630[0:Obv:23595.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.83/300.50  23479[0:SpL:598.2,334.0] class_Groups_Oab__group__add(u) || equal(v,w) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Ominus__class_Ominus(u),v,w)*.
% 299.83/300.50  23609[0:SpL:597.2,334.0] class_Groups_Ogroup__add(u) || equal(v,w) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Ominus__class_Ominus(u),v,w)*.
% 299.83/300.50  77065[0:MRR:76885.3,76885.5,2270.1,336.0] class_Groups_Oab__group__add(u) || equal(v,w) SkP2(c_Groups_Ominus__class_Ominus(u),v,w)* -> hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.83/300.50  77066[0:MRR:76884.3,76884.5,2270.1,336.0] class_Groups_Ogroup__add(u) || equal(v,w) SkP2(c_Groups_Ominus__class_Ominus(u),v,w)* -> hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.83/300.50  74335[0:SSi:74304.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  75194[0:SSi:75172.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.50  5917[0:SpR:5744.1,390.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.83/300.50  51046[0:Res:428.2,50956.0] class_Orderings_Oorder(u) || equal(skf46(c_Orderings_Oord__class_Oless__eq(u,v)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.83/300.50  51047[0:Res:1639.2,50956.0] class_Orderings_Olinorder(u) || equal(skf46(c_Orderings_Oord__class_Oless__eq(u,v)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.83/300.50  28222[0:SpL:12551.0,12642.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  28224[0:SpL:12553.0,12642.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  6296[0:SpL:5744.1,370.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v))* -> .
% 299.83/300.50  74014[0:SSi:73917.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.83/300.50  74686[0:SpL:5744.1,28828.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,v)),u))* -> .
% 299.83/300.50  5936[0:SpR:5744.1,378.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.83/300.50  77554[0:SpL:5744.1,38559.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,v)),u))* -> .
% 299.83/300.50  77632[0:SpL:5744.1,39778.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,v)),u))* -> .
% 299.83/300.50  76237[0:SpL:5744.1,38540.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  76614[0:SpL:5744.1,38546.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77352[0:SpL:5744.1,38553.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  77475[0:SpL:5744.1,38555.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.83/300.50  28619[0:Con:28603.3] class_Rings_Olinordered__ring__strict(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> .
% 299.83/300.50  6285[0:SpL:5744.1,385.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v))* -> .
% 299.83/300.50  78135[0:SpR:12260.1,40124.0] || equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf60(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78133[0:SpR:13147.1,40124.0] || equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  77999[0:SpR:12260.1,40098.0] || equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(u))*.
% 299.83/300.50  77997[0:SpR:13147.1,40098.0] || equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(u))*.
% 299.83/300.50  28832[0:SpL:12260.1,28826.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> .
% 299.83/300.50  38579[0:SpL:12260.1,38532.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> .
% 299.83/300.50  38590[0:SpL:12260.1,38533.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> .
% 299.83/300.50  78155[0:SSi:78136.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  78034[0:SSi:78000.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  78115[0:SpR:5744.1,40124.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  78105[0:SpR:13147.1,40124.0] || equal(skf48(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(u))*.
% 299.83/300.50  78012[0:SpR:13147.1,40098.0] || equal(skf48(u),v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  77979[0:SpR:5744.1,40098.0] || equal(u,v) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  8329[0:SpL:5744.1,1728.0] || equal(v_c____,u) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),u),v_cs____)))* -> .
% 299.83/300.50  8331[0:SpL:5744.1,1728.0] || equal(v_cs____,u) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),u)))* -> .
% 299.83/300.50  67624[15:Rew:67570.0,67545.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(t_a,v_cs____),u)),c_Groups_Ozero__class_Ozero(t_a))** -> equal(u,c_Polynomial_Opoly(t_a,v_cs____)).
% 299.83/300.50  67621[15:Rew:67570.0,67528.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(t_a,v_cs____))),c_Groups_Ozero__class_Ozero(t_a))** -> equal(c_Polynomial_Opoly(t_a,v_cs____),u).
% 299.83/300.50  67847[15:SSi:67843.0,107.0] class_Int_Oring__char__0(t_a) || equal(c_Polynomial_Opcompose(t_a,v_cs____,u),v)* -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(t_a,v))*.
% 299.83/300.50  76576[15:SSi:76572.0,107.0] class_Int_Oring__char__0(t_a) || equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u),v)* -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(t_a,v))*.
% 299.83/300.50  63766[2:SoR:6731.0,52587.1] || equal(u,skf48(c_fNot)) equal(v,hAPP(c_Int_Onat,u))* -> equal(c_Int_Onat__aux(v,w),w)**.
% 299.83/300.50  17510[0:SpR:13147.1,3622.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  74823[0:SpL:5744.1,28829.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> .
% 299.83/300.50  74871[0:SpL:2135.1,28830.0] || equal(hAPP(c_Int_Onat,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),u))* -> .
% 299.83/300.50  74694[0:SpL:5744.1,28828.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),v))* -> .
% 299.83/300.50  17613[0:SpL:13147.1,6793.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.50  17574[0:SpL:13147.1,3635.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Nat_OSuc,w)),u)* -> .
% 299.83/300.50  17579[0:SpL:13147.1,6971.1] hBOOL(u) || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** -> .
% 299.83/300.50  77306[0:SpL:12874.1,38552.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf48(c_fequal(v))))* -> .
% 299.83/300.50  74805[0:SpL:12874.1,28829.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf48(c_fequal(v))))* -> .
% 299.83/300.50  42889[0:SpL:13147.1,42446.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fequal(u)))* -> .
% 299.83/300.50  17607[0:SpL:13147.1,5839.0] || equal(skf48(c_COMBI(u)),v)* equal(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.50  16348[2:MRR:16232.2,12141.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  17415[2:MRR:17294.2,12497.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.50  74673[0:SpL:2135.1,28388.0] || equal(skf64(u),v) equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))),skf50(skf64(u)))* -> .
% 299.83/300.50  28401[0:SpL:5744.1,10011.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* equal(hAPP(c_Int_Onat,v),skf50(skf64(u)))* -> .
% 299.83/300.50  74676[0:SpL:5744.1,28388.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))),v)* equal(hAPP(c_Int_Onat,v),skf50(skf64(u)))* -> .
% 299.83/300.50  28083[0:SpL:9490.0,334.0] || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),skf50(skf64(v)),u)*.
% 299.83/300.50  56331[0:SSi:56314.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.83/300.50  78154[0:SSi:78127.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.50  78033[0:SSi:77991.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))*.
% 299.83/300.50  5062[0:SpL:394.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u),w)*.
% 299.83/300.50  5337[0:SpL:393.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),w),w,v)*.
% 299.83/300.50  61949[0:SpL:49304.1,384.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.83/300.50  4393[0:SpL:3731.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w)),w,v)*.
% 299.83/300.50  4414[0:SpL:3732.0,334.0] || hBOOL(hAPP(u,v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),u)),w,v)*.
% 299.83/300.50  23811[0:SpL:558.2,334.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(w) -> SkP2(c_Groups_Oplus__class_Oplus(u),w,v)*.
% 299.83/300.50  28053[0:SpL:9489.0,334.0] || hBOOL(hAPP(skf50(skf64(u)),v)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.50  39985[0:Res:692.1,334.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.50  39855[0:Res:694.1,334.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)*.
% 299.83/300.50  2539[0:SpL:386.0,334.0] || hBOOL(hAPP(c_Int_Onat__aux(u,v),w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w)*.
% 299.83/300.50  25299[0:SpL:602.0,334.0] || hBOOL(hAPP(u,hAPP(v,w))) -> SkP2(hAPP(c_COMBB(x,y,z),u),v,w)*.
% 299.83/300.50  5361[0:SpL:371.1,334.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(v,w)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.83/300.50  5376[0:SpL:356.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.83/300.50  5740[0:SpL:379.0,334.0] || hBOOL(hAPP(hAPP(u,v),w)) -> SkP2(c_Nat_Onat_Onat__case(x,y,u),hAPP(c_Nat_OSuc,v),w)*.
% 299.83/300.50  22500[0:SpL:595.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),w)*.
% 299.83/300.50  22663[0:SpL:594.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)*.
% 299.83/300.50  16344[2:MRR:16241.1,12141.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)))))*.
% 299.83/300.50  17411[2:MRR:17304.1,12497.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)))))*.
% 299.83/300.50  48892[0:SSi:48891.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))**.
% 299.83/300.50  19369[0:SpR:266.0,601.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))**.
% 299.83/300.50  44980[0:SSi:44979.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))**.
% 299.83/300.50  19352[0:SpR:601.0,414.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))**.
% 299.83/300.50  40532[0:Rew:3654.0,40488.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),skf60(v)),skf48(c_fequal(c_Int_Onat__aux(skf60(v),u))))**.
% 299.83/300.50  40499[0:SpR:12551.0,12940.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u)),skf48(c_fequal(v))),skf48(c_fequal(c_Int_Onat__aux(skf48(u),v))))**.
% 299.83/300.50  40501[0:SpR:12553.0,12940.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u)),skf48(c_fequal(v))),skf48(c_fequal(c_Int_Onat__aux(skf60(u),v))))**.
% 299.83/300.50  40534[0:Rew:3654.0,40486.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),skf48(v)),skf48(c_fequal(c_Int_Onat__aux(skf48(v),u))))**.
% 299.83/300.50  44971[0:Rew:19352.0,44944.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))**.
% 299.83/300.50  48755[0:SSi:48754.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))**.
% 299.83/300.50  71564[0:SpL:71409.1,384.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.83/300.50  10589[0:Res:269.1,464.1] class_Orderings_Opreorder(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.83/300.50  10647[0:AED:109.0,10591.2] class_Orderings_Olinorder(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.83/300.50  38564[0:Obv:38510.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.83/300.50  16167[0:Res:526.1,467.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u)),v)** -> .
% 299.83/300.50  16166[0:Res:526.1,469.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u)),v)** -> .
% 299.83/300.50  44137[0:SpL:742.0,6666.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y),hAPP(c_Nat_OSuc,y))** -> .
% 299.83/300.50  65879[0:AED:109.0,65850.2] class_Rings_Oring__no__zero__divisors(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.50  16873[0:Res:507.1,384.0] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(u),v)))))*.
% 299.83/300.50  44135[0:SpL:742.0,288.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_fconj),x),y))* -> hBOOL(hAPP(x,y)).
% 299.83/300.50  53181[0:Res:26124.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.50  53182[0:Res:26189.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.50  55076[0:Res:54122.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.50  55625[0:Res:55294.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.50  111871[18:MRR:50993.1,111803.0] || equal(skf46(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))*.
% 299.83/300.50  118190[0:Rew:601.0,118189.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.50  122578[18:SpL:10150.1,111837.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf47(v))* -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  122579[18:SpL:10150.1,111838.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf48(v))* -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  122624[18:SpL:10150.1,111839.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf57(v))* -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  122625[18:SpL:10150.1,111840.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf60(v))* -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.50  127175[18:SpR:10150.1,111841.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(u))*.
% 299.83/300.50  127176[18:SpR:10150.1,111842.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(u))*.
% 299.83/300.50  132280[18:SpL:13680.1,111823.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  132287[18:SpL:13680.1,111827.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  132294[18:SpL:13680.1,111828.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  142498[18:SpR:49088.0,111850.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.83/300.50  142499[18:SpR:49088.0,111851.0] ||  -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.83/300.50  142524[18:SpR:49088.0,111848.1] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)*.
% 299.83/300.50  142525[18:SpR:49088.0,111849.1] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)*.
% 299.83/300.50  142757[18:SpR:13412.1,111857.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.83/300.50  142761[18:SpR:6450.1,111857.0] || equal(skf47(c_Int_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.83/300.50  142766[18:SpR:13412.1,111858.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.83/300.50  142770[18:SpR:6450.1,111858.0] || equal(skf47(c_Int_Onat),u) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat)))*.
% 299.83/300.50  144490[18:SpL:5744.1,111854.0] || equal(skf47(c_Nat_OSuc),u) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144750[18:SpL:5744.1,114156.0] || equal(skf47(c_Nat_OSuc),u) equal(hAPP(c_Int_Onat,u),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144753[18:SpL:2170.1,114156.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Nat_OSuc)) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  144866[18:SpL:12589.1,127232.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf46(c_Nat_OSuc)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,u))*.
% 299.83/300.50  144868[18:SpL:12874.1,127232.0] || equal(skf46(c_Nat_OSuc),u) equal(skf48(c_fequal(u)),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.50  144870[10:SpL:5744.1,77949.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u)*.
% 299.83/300.50  144885[10:SpL:5744.1,77949.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u).
% 299.83/300.50  144888[10:SSi:144883.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.50  146306[0:SpR:5744.1,75079.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  146347[2:SpL:12874.1,79399.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fNot))** equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  149153[23:SpL:13147.1,148970.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(u).
% 299.83/300.50  150317[0:SpR:5744.1,63058.1] || equal(u,v)* SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.50  150337[0:Res:63058.1,50956.0] || SkP0(skf46(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.50  150347[0:Res:63058.1,12726.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* equal(hAPP(c_Int_Onat,u),v)* -> equal(u,skf48(c_fequal(v)))*.
% 299.83/300.50  151156[2:SpR:13147.1,150557.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.50  151175[2:SpR:13147.1,150559.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.50  151196[4:SpL:13680.1,150676.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.50  151425[4:SpL:13680.1,150677.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.50  151428[4:SpL:13680.1,150678.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.50  151711[0:SpL:12874.1,150319.0] || equal(hAPP(c_Nat_OSuc,u),v)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  151714[0:SpL:5744.1,150319.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.50  151805[6:SpL:12874.1,151735.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  151808[6:SpL:5744.1,151735.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.50  152708[0:SpR:5744.1,71838.1] || equal(u,v)* hBOOL(u)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  152826[0:SpR:5744.1,71637.1] || equal(u,v)* hBOOL(u)* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  152831[2:SpR:5744.1,63093.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  152951[2:SpR:10150.1,152835.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)))))))*.
% 299.83/300.50  152983[0:SpR:12874.1,58677.0] || equal(skf64(u),v)* -> equal(skf51(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  152996[0:SpR:6450.1,58677.0] || equal(skf48(c_fequal(skf64(u))),v)* -> equal(skf51(c_Int_Onat__aux(v,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  153088[0:SpR:13412.1,58633.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf51(c_Int_Onat__aux(v,c_Int_Onat__aux(w,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  153112[0:SpR:13412.1,58633.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(skf51(c_Int_Onat__aux(w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  153695[2:SpL:5744.1,80546.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  154835[0:SpL:12589.1,73439.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) -> .
% 299.83/300.50  154837[0:SpL:12874.1,73439.1] class_Orderings_Owellorder(u) || equal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154843[0:SpL:12874.1,73413.0] || equal(u,v)* equal(skf48(c_fequal(skf48(c_fequal(v)))),skf47(c_Int_Onat))** hBOOL(u)* -> .
% 299.83/300.50  154855[0:SpL:12589.1,73413.0] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat)) hBOOL(u) -> .
% 299.83/300.50  154857[0:SpL:12874.1,73413.0] || equal(skf48(c_fequal(u)),v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** hBOOL(u) -> .
% 299.83/300.50  154859[8:SpL:5744.1,69452.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154877[0:SpL:12589.1,73430.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(skf49(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154879[0:SpL:12874.1,73430.1] || equal(u,v)* equal(skf49(c_Int_Onat),u)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154885[0:SpL:12545.1,73430.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(skf64(u),skf49(c_Int_Onat))** equal(u,skf47(c_Int_Onat)) -> .
% 299.83/300.50  154950[4:SpL:12589.1,73461.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(u,skf49(c_fNot)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154952[4:SpL:12874.1,73461.1] || equal(u,v)* equal(u,skf49(c_fNot))* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154958[4:SpL:12545.1,73461.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(skf64(u),skf49(c_fNot))** equal(u,skf47(c_Int_Onat)) -> .
% 299.83/300.50  154969[13:SpL:12589.1,73552.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(skf47(c_Int_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154971[13:SpL:12874.1,73552.1] || equal(u,v)* equal(skf47(c_Int_Onat),u)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  154977[13:SpL:12545.1,73552.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint))* equal(skf64(u),skf47(c_Int_Onat))** equal(u,skf47(c_Int_Onat)) -> .
% 299.83/300.50  155247[4:SpL:12874.1,80146.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fNot))** equal(u,skf46(c_Int_Onat))* -> .
% 299.83/300.50  155275[4:SpR:2135.1,75357.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.50  155280[4:SpR:5744.1,75357.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,v))*.
% 299.83/300.50  155283[4:SpR:2170.1,75357.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.50  155288[4:SpR:2117.1,75357.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.50  155303[4:Rew:10199.1,155293.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.50  155295[4:SpR:15222.0,75357.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)))))*.
% 299.83/300.50  155768[4:SpL:12874.1,80164.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fNot))** equal(u,skf48(c_fNot))* -> .
% 299.83/300.50  155914[4:SpL:5744.1,58444.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf49(c_fNot))* -> .
% 299.83/300.50  157306[0:SpL:2117.1,56385.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  157307[0:SpL:5744.1,56385.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))),u))* -> .
% 299.83/300.50  157311[0:SpL:9385.1,56385.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),skf50(u)))* -> .
% 299.83/300.50  157313[0:SpL:15222.0,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Int_Onat__aux(u,v)))* -> .
% 299.83/300.50  157316[0:SpL:2135.1,56385.0] || equal(u,hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> .
% 299.83/300.50  157412[0:SpL:2135.1,157314.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> .
% 299.83/300.50  157435[0:SpR:10413.1,55594.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)))))*.
% 299.83/300.50  157438[0:SpR:5744.1,55594.0] || equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))*.
% 299.83/300.50  157536[0:SpR:2135.1,58754.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.50  157540[0:SpR:10413.1,58754.0] || equal(u,skf64(v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v)))))*.
% 299.83/300.50  157543[0:SpR:5744.1,58754.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))*.
% 299.83/300.50  157742[0:SpL:5744.1,56384.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))),u))* -> .
% 299.83/300.50  157748[0:SpL:15222.0,56384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))),c_Int_Onat__aux(u,v)))* -> .
% 299.83/300.50  157751[0:SpL:2135.1,56384.0] || equal(u,hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> .
% 299.83/300.50  157753[0:SpL:2135.1,56384.0] || equal(u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> .
% 299.83/300.50  157798[8:Rew:15222.0,157790.0] || equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf62(c_Int_Onat,skf47(c_Int_Onat)))** -> .
% 299.83/300.50  157799[0:SpL:2117.1,56233.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.50  157800[0:SpL:5744.1,56233.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),hAPP(c_Nat_OSuc,v)))* -> .
% 299.83/300.50  157806[0:SpL:15222.0,56233.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)))),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))* -> .
% 299.83/300.50  157813[0:SpL:2135.1,56233.0] || equal(u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> .
% 299.83/300.50  157815[0:SpL:5744.1,56233.0] || equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> .
% 299.83/300.50  157958[0:SpR:5744.1,75081.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.83/300.50  157964[0:SpR:15222.0,75081.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,v)))),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))))*.
% 299.83/300.50  157970[0:SpR:12874.1,75081.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.83/300.50  158008[0:Rew:14823.1,157981.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.83/300.50  157986[0:SpR:5744.1,75081.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.83/300.50  158021[0:SpL:13412.1,56409.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,u))),hAPP(c_Int_Onat,v))** -> .
% 299.83/300.50  158026[0:SpL:6450.1,56409.0] || equal(u,v) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Int_Onat,u))* -> .
% 299.83/300.50  158035[0:SpL:2135.1,56409.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),hAPP(c_Int_Onat,v))* -> .
% 299.83/300.50  158360[0:SpL:12589.1,63156.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.50  158362[0:SpL:12874.1,63156.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),skf48(c_fequal(v))))* -> .
% 299.83/300.50  158368[0:SpL:12545.1,63156.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),u))* -> .
% 299.83/300.50  158376[0:SpL:5744.1,63156.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v))* -> .
% 299.83/300.50  158388[0:SpL:5744.1,63126.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)))),u))* -> .
% 299.83/300.50  158392[2:SpL:63796.1,63126.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> .
% 299.83/300.50  158653[18:SpL:5744.1,111855.1] || equal(u,v)* equal(u,skf47(c_Int_Onat))* equal(hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.50  158656[18:SpL:2170.1,111855.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(u,skf47(c_Int_Onat)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  158673[18:SpL:12589.1,111856.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf47(c_Int_Onat))** -> .
% 299.83/300.50  158675[18:SpL:12874.1,111856.1] || equal(u,v)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** -> .
% 299.83/300.50  158681[18:SpL:12545.1,111856.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf64(u))* equal(u,skf47(c_Int_Onat)) -> .
% 299.83/300.50  158697[18:SpR:13412.1,114145.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Int_Onat,v),skf49(c_Nat_OSuc)) -> hBOOL(c_Int_Onat__aux(v,u))*.
% 299.83/300.50  158702[18:SpR:6450.1,114145.1] || equal(u,v)* equal(hAPP(c_Int_Onat,u),skf49(c_Nat_OSuc))** -> hBOOL(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  159542[18:SpL:10413.1,127223.0] || equal(u,skf64(v))* equal(skf48(c_fequal(skf50(u))),skf48(c_Nat_OSuc))** -> hBOOL(skf64(v))*.
% 299.83/300.50  159546[18:SpL:12589.1,127223.0] || equal(skf50(skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf48(c_Nat_OSuc)) -> hBOOL(skf64(u)).
% 299.83/300.50  159547[18:SpL:12586.1,127223.0] || equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf48(c_Nat_OSuc)) -> hBOOL(skf64(u)).
% 299.83/300.50  159548[18:SpL:12874.1,127223.0] || equal(skf50(skf64(u)),v)* equal(skf48(c_fequal(v)),skf48(c_Nat_OSuc))** -> hBOOL(skf64(u)).
% 299.83/300.50  159553[19:SpL:5744.1,131464.1] || equal(u,v)* equal(u,skf48(c_fNot))* equal(hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.50  161174[2:SpL:5744.1,153797.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  161232[8:SpL:12874.1,154867.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf48(c_fNot))** equal(u,skf47(c_Int_Onat))* -> .
% 299.83/300.50  161301[4:SpL:5744.1,155015.0] || equal(u,v)* equal(hAPP(c_Int_Onat,v),skf47(c_Int_Onat))** equal(u,skf47(c_Int_Onat))* -> .
% 299.83/300.50  161304[4:SpL:2170.1,155015.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf47(c_Int_Onat)) equal(u,skf47(c_Int_Onat)) -> .
% 299.83/300.50  161320[0:SpL:5744.1,155020.0] || equal(u,v)* equal(hAPP(c_Int_Onat,v),skf49(c_Int_Onat))** equal(u,skf47(c_Int_Onat))* -> .
% 299.83/300.50  161323[0:SpL:2170.1,155020.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u)* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Int_Onat)) equal(u,skf47(c_Int_Onat)) -> .
% 299.83/300.50  161339[4:SpL:5744.1,155025.0] || equal(u,v)* equal(hAPP(c_Int_Onat,v),skf49(c_fNot))** equal(u,skf47(c_Int_Onat))* -> .
% 299.83/300.50  161460[0:SpL:5744.1,157785.0] || equal(skf64(u),v) equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))),skf50(skf64(u)))* -> .
% 299.83/300.50  161462[0:SpL:2135.1,157785.0] || equal(u,hAPP(c_Nat_OSuc,skf64(v)))* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),skf50(skf64(v)))* -> .
% 299.83/300.50  161466[18:SpL:5744.1,159342.0] || equal(u,v)* equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf46(c_Nat_OSuc))* -> .
% 299.83/300.50  163030[26:SSi:163021.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.50  163225[2:SpR:5744.1,161748.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.50  163229[2:SpR:5744.1,161748.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.50  163296[2:SpL:5744.1,163272.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),skf48(c_fNot))** -> .
% 299.83/300.50  163456[2:SpL:5744.1,163290.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),skf46(c_Int_Onat))** -> .
% 299.83/300.50  163462[2:SpL:5744.1,161860.0] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(u)*.
% 299.83/300.50  163476[2:SSi:163475.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.50  169096[26:SpR:5744.1,162097.1] || equal(u,v)* equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,v)))*.
% 299.83/300.50  169099[26:SpR:2170.1,162097.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.50  169123[26:SSi:169114.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),v)* equal(skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  169134[2:SpR:5744.1,163264.1] || equal(u,v)* -> hBOOL(u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.50  169149[2:SpR:5744.1,163264.1] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.83/300.50  169176[2:SSi:169148.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))*.
% 299.83/300.50  169793[0:Res:243.0,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.83/300.50  170033[0:SSi:169962.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))*.
% 299.83/300.50  171429[2:SSi:171421.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  171542[2:SSi:171535.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.50  171767[0:SSi:171763.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w))*.
% 299.83/300.50  171768[0:SSi:171764.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)*.
% 299.83/300.50  172149[0:SSi:172143.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)*.
% 299.83/300.50  172150[0:SSi:172147.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w))*.
% 299.83/300.50  172387[0:SpR:170043.0,837.1] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))**.
% 299.83/300.50  172508[0:SSi:172444.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  172509[0:SSi:172468.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  172516[0:SSi:172487.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.50  173815[0:SSi:173813.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),v)*.
% 299.83/300.50  174249[0:SSi:174243.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),v)*.
% 299.83/300.50  174250[0:SSi:174247.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))*.
% 299.83/300.50  174320[0:SpR:565.1,1095.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))**.
% 299.83/300.50  174621[28:SpR:12611.1,169757.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),skf50(u))* -> SkP0(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.50  174727[2:SSi:174726.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))*.
% 299.83/300.50  174940[0:SpR:172506.0,5744.1] || equal(hAPP(c_Nat_OSuc,u),v)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.50  174983[0:SpL:172506.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.50  174984[0:SpL:172506.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.50  175088[0:SSi:175022.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))*.
% 299.83/300.50  175089[0:SSi:175023.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.83/300.50  175245[0:SpR:10150.1,174966.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u)),skf64(v)),skf50(u))**.
% 299.83/300.50  175361[4:SpR:10150.1,174997.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),v)*.
% 299.83/300.50  175409[4:SpR:10150.1,175148.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.50  175461[4:SpR:10150.1,175193.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w))*.
% 299.83/300.50  175470[0:SpR:172507.0,5744.1] || equal(hAPP(c_Nat_OSuc,u),v)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  175501[0:SpR:5744.1,172507.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.50  175510[0:SpL:172507.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.50  175511[0:SpL:172507.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),u)*.
% 299.83/300.50  175610[0:SSi:175574.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.83/300.50  175611[0:SSi:175598.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))))*.
% 299.83/300.50  175612[0:SSi:175599.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))*.
% 299.83/300.50  175613[0:SSi:175607.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))*.
% 299.83/300.50  175723[26:SSi:175704.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* equal(skf48(c_fequal(u)),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.50  175892[0:SSi:175880.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))))*.
% 299.83/300.50  175893[0:SSi:175881.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))))*.
% 299.83/300.50  175894[0:SSi:175889.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))))*.
% 299.83/300.50  176679[2:SSi:176564.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.50  176680[0:SSi:176570.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.50  176681[0:SSi:176653.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.50  176682[0:SSi:176654.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.50  176683[2:SSi:176671.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.50  176762[0:SpR:2872.0,176536.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v,w)))*.
% 299.83/300.50  176798[8:SpR:49088.0,176512.0] ||  -> SkP1(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),v,w))*.
% 299.83/300.50  176989[0:SSi:176824.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.50  176991[0:SSi:176937.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.50  176992[0:SSi:176938.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  77958[10:Res:39951.1,12569.0] || equal(hAPP(c_Nat_OSuc,skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.83/300.51  161878[2:Res:150015.1,12569.0] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.83/300.51  69328[0:Rew:19349.0,69319.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.51  77977[10:MRR:77960.1,64525.1] || equal(hAPP(c_Nat_OSuc,skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.51  146359[2:SpR:5744.1,64591.1] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.51  159712[2:SpR:5744.1,64525.1] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.83/300.51  159743[2:Res:64525.1,12726.0] || equal(hAPP(c_Int_Onat,u),v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* equal(u,skf48(c_fequal(v)))*.
% 299.83/300.51  159789[2:SpR:5744.1,146401.1] || equal(u,v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.83/300.51  161880[2:Res:150015.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.51  161895[2:MRR:161875.1,64525.1] || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.51  47609[10:MRR:47568.1,38830.0] || equal(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.51  58506[10:MRR:58499.1,38830.0] || equal(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.51  170592[10:MRR:170580.0,38830.0] ||  -> hBOOL(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170803[10:MRR:170802.0,38830.0] ||  -> hBOOL(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  77938[10:SpR:5744.1,39951.1] || equal(u,v)* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  146532[2:Res:146399.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> SkP0(hAPP(c_Int_Onat,u),w)* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  146566[2:Res:146403.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> SkP0(w,hAPP(c_Int_Onat,u))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  150016[2:SoR:6731.0,146464.2] || equal(u,skf48(c_fNot)) equal(hAPP(c_Int_Onat,u),v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  161856[2:SpR:5744.1,150015.1] || equal(u,v)* equal(hAPP(c_Int_Onat,skf48(c_fNot)),u)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  19765[2:SpR:12260.1,19380.0] || equal(skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  146389[2:Res:64591.1,50956.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf46(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.51  159733[2:Res:64525.1,50956.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf46(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.51  159810[2:Res:146401.1,50956.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf46(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.51  146397[2:Res:64591.1,656.2] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)))*.
% 299.83/300.51  51978[2:Res:51888.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.83/300.51  41855[2:MRR:41485.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.83/300.51  147199[2:SSi:147175.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.83/300.51  19377[0:SpL:601.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  19376[0:SpL:601.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  77973[10:SSi:77950.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  161892[2:SSi:161869.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  3523[0:SpL:267.0,384.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))))*.
% 299.83/300.51  177287[2:SSi:177173.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  177288[0:SSi:177179.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.51  177289[0:SSi:177262.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  177290[0:SSi:177263.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.51  177291[2:SSi:177279.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  177714[2:SSi:177601.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  177715[0:SSi:177607.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.83/300.51  177716[0:SSi:177690.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.51  177717[0:SSi:177691.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.83/300.51  177718[2:SSi:177707.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178002[2:SSi:177836.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178003[0:SSi:177837.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.83/300.51  178004[0:SSi:177838.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))))*.
% 299.83/300.51  178005[0:SSi:177951.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))))*.
% 299.83/300.51  178006[0:SSi:177952.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.51  178007[0:SSi:177954.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.51  178008[0:SSi:177955.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.83/300.51  178009[2:SSi:177979.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178274[2:SSi:178161.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178275[0:SSi:178167.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.83/300.51  178276[0:SSi:178250.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.83/300.51  178277[0:SSi:178251.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,v))))*.
% 299.83/300.51  178278[2:SSi:178267.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178566[0:SSi:178403.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))))*.
% 299.83/300.51  178567[0:SSi:178516.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v))))*.
% 299.83/300.51  178568[0:SSi:178517.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.83/300.51  179045[0:Rew:313.1,178871.3] class_Rings_Oidom(u) class_Lattices_Oab__semigroup__idem__mult(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> equal(v,w).
% 299.83/300.51  179295[0:SSi:179173.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),u)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u))**.
% 299.83/300.51  179296[0:SSi:179174.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u))**.
% 299.83/300.51  179297[0:SSi:179208.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  179300[0:SSi:179247.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))**.
% 299.83/300.51  179301[0:SSi:179269.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  179319[2:SSi:179318.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v))))*.
% 299.83/300.51  179544[0:SpR:1075.0,310.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,x)))*.
% 299.83/300.51  179549[0:SpR:1075.0,348.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),w))*.
% 299.83/300.51  179568[0:SpR:1075.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y)),hAPP(c_Nat_OSuc,x))*.
% 299.83/300.51  179894[0:SpL:1075.0,6666.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),hAPP(c_Nat_OSuc,w))** -> .
% 299.83/300.51  180401[0:MRR:180366.0,149.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.83/300.51  183151[0:SpR:10150.1,179305.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,skf50(u))),w),v)**.
% 299.83/300.51  183700[0:SpL:5744.1,173543.0] || equal(u,v) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.51  183735[0:SpL:12260.1,173543.0] || equal(skf60(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))* equal(skf60(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.83/300.51  183736[0:SpL:13147.1,173543.0] || equal(skf48(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))* equal(skf48(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.83/300.51  183737[0:SpL:13680.1,173543.0] || equal(skf47(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))* equal(skf47(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.83/300.51  183738[0:SpL:12435.1,173543.0] || equal(skf57(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))* equal(skf57(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.83/300.51  183758[0:SSi:183730.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.51  184333[0:SpL:179288.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),w,u)*.
% 299.83/300.51  184334[0:SpL:179288.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),w,u)*.
% 299.83/300.51  184608[0:SpL:179289.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),w,u)*.
% 299.83/300.51  184609[0:SpL:179289.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) -> SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),w,u)*.
% 299.83/300.51  184653[0:SSi:184601.1,184601.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v))* -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.51  184932[2:SSi:184927.1,184927.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  184936[0:SpL:12874.1,9761.0] || equal(u,v)* equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(skf64(w),u)* -> .
% 299.83/300.51  185057[4:SpR:5744.1,18988.1] || equal(u,v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)* -> SkP0(w,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)))*.
% 299.83/300.51  185086[0:Rew:185071.1,185060.0] || equal(u,v) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_fequal(u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  185185[0:SpL:185071.1,38540.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> .
% 299.83/300.51  185187[0:SpL:185071.1,38535.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.51  185188[0:SpL:185071.1,38545.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> .
% 299.83/300.51  185189[0:SpL:185071.1,38547.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> .
% 299.83/300.51  185190[0:SpL:185071.1,38546.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> .
% 299.83/300.51  185770[0:SSi:185765.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),v)))*.
% 299.83/300.51  187567[0:SpR:12260.1,51668.0] || equal(skf60(u),v)* -> SkP0(w,skf60(u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  187568[0:SpR:13147.1,51668.0] || equal(skf48(u),v)* -> SkP0(w,skf48(u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  187569[0:SpR:13680.1,51668.0] || equal(skf47(u),v)* -> SkP0(w,skf47(u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  187570[0:SpR:12435.1,51668.0] || equal(skf57(u),v)* -> SkP0(w,skf57(u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  187571[0:SpR:5744.1,51668.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.83/300.51  187634[0:SSi:187553.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  187636[0:SSi:187608.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)).
% 299.83/300.51  188085[0:MRR:188084.2,336.0] || equal(u,v) -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(skf68(w,v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  188112[0:MRR:188111.2,10270.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(v,w)) equal(skf68(v,skf50(u),w),w)**.
% 299.83/300.51  188143[0:SpR:5744.1,51740.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  188201[0:Res:51740.1,820.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.51  188232[0:SSi:188125.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  188658[0:MRR:188657.2,336.0] || equal(u,v) -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(skf67(w,v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  188685[0:MRR:188684.2,10270.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(v,w)) equal(skf67(v,skf50(u),w),w)**.
% 299.83/300.51  188825[2:SpR:5744.1,188750.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))))*.
% 299.83/300.51  188828[2:SpR:2170.1,188750.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  188830[2:SpR:2169.1,188750.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))*.
% 299.83/300.51  188851[2:SSi:188833.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  188852[2:SSi:188842.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.51  188854[2:SpR:5744.1,188772.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))))*.
% 299.83/300.51  188857[2:SpR:2170.1,188772.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  188859[2:SpR:2169.1,188772.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))*.
% 299.83/300.51  188880[2:SSi:188862.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  188881[2:SSi:188871.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.51  188900[0:SpR:5744.1,51669.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.51  188963[0:SSi:188882.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  188965[0:SSi:188937.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.51  47871[0:SpL:3757.0,11444.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf64(w)))),skf50(skf64(w)))** -> .
% 299.83/300.51  47893[0:SpL:3757.0,9538.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))),c_Int_Onat__aux(skf48(c_fequal(u)),v))** -> .
% 299.83/300.51  53990[0:SpL:449.1,51176.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf49(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)))))*.
% 299.83/300.51  73179[0:AED:109.0,73087.2] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  76480[0:SSi:76479.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,v)),w),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,w)),v))*.
% 299.83/300.51  77622[0:SpL:13147.1,77568.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  77685[0:SpL:13147.1,77646.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  45235[0:Res:819.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  29399[4:MRR:29244.1,8759.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  26754[0:SpL:12610.0,12937.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.83/300.51  26849[0:SpR:12610.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  55716[0:SSi:55669.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))**.
% 299.83/300.51  26554[0:SpR:12610.0,12933.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))**.
% 299.83/300.51  25792[0:SpL:13147.1,25770.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  20203[0:SpL:13147.1,18204.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))),w)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  24451[0:Res:576.2,475.0] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(hAPP(c_Int_Onat,c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  68974[0:SpL:13147.1,68942.0] || equal(skf48(c_fequal(skf64(u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.51  17575[0:SpL:13147.1,3619.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  16597[0:SpR:12260.1,12133.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  17207[0:SpR:12435.1,12332.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  17496[0:SpR:13147.1,12489.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  17686[0:SpR:13680.1,14377.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  29209[0:SpL:224.0,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(u,v))*.
% 299.83/300.51  16617[0:SpR:12260.1,4868.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  40530[0:SSi:40513.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.51  51192[0:Res:5747.1,12634.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.83/300.51  53455[0:Rew:2169.1,53447.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(skf48(c_fequal(skf62(v,u))),u)**.
% 299.83/300.51  16381[0:Res:540.0,12546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(skf48(c_fequal(skf64(u))),u).
% 299.83/300.51  51938[0:SSi:51931.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  55350[0:SSi:55341.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  57490[2:Res:52145.1,786.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  52455[0:Res:211.1,839.0] ||  -> hBOOL(skf62(c_fNot,u))* hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  51816[0:Res:829.2,376.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  63060[0:MRR:63004.1,18629.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  8362[0:Res:1639.2,4191.0] class_Orderings_Olinorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  8469[0:Res:428.2,4191.0] class_Orderings_Oorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  64653[0:SpR:13147.1,64590.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  26201[0:SpR:13147.1,26077.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  45360[0:Res:783.1,25507.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.83/300.51  45363[0:Res:783.1,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  53853[0:SSi:53831.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  53938[0:SSi:53931.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  54976[0:SSi:54964.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))*.
% 299.83/300.51  73639[2:SpL:13147.1,73424.0] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  73638[2:SpL:13147.1,73424.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  28848[0:SpL:12260.1,28836.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.51  16632[0:SpR:12260.1,11853.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  53852[0:SSi:53843.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  18205[0:SpL:15222.0,12557.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))))))* -> .
% 299.83/300.51  12796[0:Rew:12519.0,11611.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u)))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  73714[2:SpL:13147.1,73426.0] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  73713[2:SpL:13147.1,73426.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  51367[2:Res:14874.1,12635.0] hBOOL(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(hAPP(c_fconj,u),v))*.
% 299.83/300.51  45299[0:Res:785.1,25507.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.83/300.51  45302[0:Res:785.1,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  53155[0:Res:18629.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.83/300.51  53156[0:Res:3279.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.51  63671[0:SSi:63651.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  64534[0:SSi:64521.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  64535[0:SSi:64506.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.51  66851[0:MRR:66772.2,2891.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)*.
% 299.83/300.51  66852[0:MRR:66763.2,2891.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.51  79555[2:Res:874.1,52038.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.83/300.51  71870[0:Obv:71624.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71698[0:SpL:393.1,24466.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71697[0:SpL:413.1,24466.0] class_Groups_Omonoid__mult(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71685[0:SpL:406.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71686[0:SpL:405.1,24466.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71687[0:SpL:407.1,24466.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71627[0:SpL:408.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71626[0:SpL:396.1,24466.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71623[0:SpL:410.1,24466.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71605[0:SpL:10150.1,24466.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(v,skf50(u)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  41346[0:Res:1649.2,259.1] hBOOL(hAPP(c_Nat_OSuc,skf55(u,c_fNot))) || hBOOL(hAPP(c_fNot,u))* -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.51  48058[0:Rew:267.0,48039.2] || equal(skf56(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> equal(u,v).
% 299.83/300.51  47707[0:SpR:3757.0,6936.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  75020[0:Res:2803.1,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.83/300.51  12830[0:Rew:12519.0,4143.1] ||  -> equal(skf57(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf48(c_fequal(u))))*.
% 299.83/300.51  4343[0:Res:1909.0,383.0] ||  -> equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.51  21133[4:MRR:21016.1,8759.0] || equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.83/300.51  17417[4:MRR:17305.1,8759.0] || equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.83/300.51  17195[4:MRR:17091.1,8759.0] || equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.83/300.51  16350[4:MRR:16242.1,8759.0] || equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.83/300.51  7221[0:SpL:411.1,334.0] class_Power_Opower(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.83/300.51  7240[0:SpL:409.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)*.
% 299.83/300.51  24549[0:SpR:13147.1,24444.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* SkP1(x,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.51  28444[0:SpL:614.1,333.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> SkP1(c_Polynomial_OpCons(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.51  28443[0:SpL:614.1,334.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> SkP2(c_Polynomial_OpCons(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.83/300.51  6942[0:SpL:3736.0,333.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(v)),w),u)*.
% 299.83/300.51  6941[0:SpL:3736.0,334.0] || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(v)),w),u)*.
% 299.83/300.51  9174[4:MRR:9165.1,8759.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))))*.
% 299.83/300.51  19262[8:MRR:9014.1,19256.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))))*.
% 299.83/300.51  28302[0:SpL:13147.1,28286.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.51  27822[0:Res:431.1,3730.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.51  77744[0:Rew:21737.1,77743.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(v,u).
% 299.83/300.51  18961[0:SpL:8586.1,492.0] || equal(hAPP(u,skf33(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> SkP0(skf33(c_Int_Onat,u),v)* equal(u,c_Int_Onat).
% 299.83/300.51  18959[0:SpL:18711.1,492.0] || equal(hAPP(u,skf33(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> SkP0(v,skf33(c_Int_Onat,u))* equal(u,c_Int_Onat).
% 299.83/300.51  18921[0:SpL:8586.1,492.0] || equal(hAPP(u,skf33(u,c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> SkP0(skf33(u,c_Int_Onat),v)* equal(c_Int_Onat,u).
% 299.83/300.51  18919[0:SpL:18711.1,492.0] || equal(hAPP(u,skf33(u,c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> SkP0(v,skf33(u,c_Int_Onat))* equal(c_Int_Onat,u).
% 299.83/300.51  17609[0:SpL:13147.1,4544.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.51  14820[0:SpR:12545.1,3736.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),c_Int_Onat__aux(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  12929[0:Rew:12519.0,12523.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),skf48(c_fequal(v)))* -> equal(hAPP(c_Int_Onat,skf48(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  12779[0:Rew:12519.0,12365.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),skf48(c_fequal(v)))* -> equal(hAPP(c_Int_Onat,skf57(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  12772[0:Rew:12519.0,12299.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),skf48(c_fequal(v)))* -> equal(hAPP(c_Int_Onat,skf60(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  22591[0:SpL:18347.0,10132.0] || equal(skf50(c_Int_Onat__aux(u,skf64(v))),skf50(skf50(skf64(v))))** -> equal(skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  24133[0:SpR:18347.0,11363.1] ||  -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(skf50(skf64(u))),skf50(c_Int_Onat__aux(w,skf64(u))))*.
% 299.83/300.51  7489[0:SpR:6450.1,3736.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  7234[0:SpR:409.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  10935[0:SpR:477.2,303.1] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  11392[0:SpL:5412.1,476.1] class_Rings_Oring__1(u) class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v).
% 299.83/300.51  11393[0:SpL:303.1,476.1] class_Rings_Osemiring__1(u) class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v).
% 299.83/300.51  6939[0:SpR:5744.1,3736.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  6923[0:SpR:3736.0,5744.1] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  59106[0:Res:437.0,915.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,v)),u))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  18206[0:SpL:15222.0,10120.0] || equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),skf50(c_Int_Onat__aux(u,v)))** -> equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  18150[0:SpR:15222.0,10799.1] ||  -> equal(c_Int_Onat__aux(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  19294[0:SpR:458.1,575.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.51  55381[0:Res:300.1,892.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.83/300.51  71861[4:MRR:71619.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  20959[0:SpR:13147.1,20576.1] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  6743[0:SpR:5744.1,431.1] || equal(hAPP(c_Nat_OSuc,u),v)* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.83/300.51  47856[0:SpL:3757.0,10132.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),skf50(w))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  52104[0:Res:301.0,863.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),w)* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,w)),w).
% 299.83/300.51  40665[0:Res:740.1,1606.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  29357[8:Res:19253.1,12641.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  63046[0:Res:2803.1,923.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.51  26232[0:SpL:3632.0,3741.0] || equal(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  27113[0:SpL:418.0,620.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v)** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  29095[0:SpL:683.2,333.0] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP1(c_Power_Opower__class_Opower(u),w,v)*.
% 299.83/300.51  29094[0:SpL:683.2,334.0] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP2(c_Power_Opower__class_Opower(u),w,v)*.
% 299.83/300.51  23308[0:SpR:13147.1,19613.1] || equal(skf48(c_fequal(c_Int_Onat__aux(u,v))),w)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(x,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.51  10273[0:SpL:10150.1,376.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39592[0:SSi:39587.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u)))),skf48(c_fequal(v))))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39725[0:SpL:12551.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39726[0:SpL:12552.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39727[0:SpL:12553.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39728[0:SpL:12664.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  52091[0:Res:468.1,863.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(u,v)),v).
% 299.83/300.51  6740[0:SpR:2135.1,431.1] || equal(u,v)* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.51  7546[0:SpL:6450.1,3735.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  13325[0:SpL:12874.1,3735.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.51  12939[0:Rew:12519.0,12769.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u)))),skf48(c_fequal(v))))*.
% 299.83/300.51  39555[0:SpL:12551.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39556[0:SpL:12552.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39557[0:SpL:12553.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  39558[0:SpL:12664.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  40747[0:SpR:10146.1,18149.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(skf50(u))),v),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),v)))**.
% 299.83/300.51  40826[0:Rew:40747.1,40765.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),w))*.
% 299.83/300.51  40805[0:SpL:10146.1,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,v)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  40828[0:Rew:40747.1,40809.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),v))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  12781[2:Rew:12519.0,12388.2] class_Groups_Olinordered__ab__group__add(u) || equal(skf57(c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(v))))*.
% 299.83/300.51  12740[0:Rew:12519.0,4141.1] || equal(skf57(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf48(c_fequal(v))))*.
% 299.83/300.51  21151[0:Res:16882.1,12569.0] || equal(skf57(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(v))))*.
% 299.83/300.51  4342[0:Res:325.1,383.0] || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.83/300.51  21148[0:Res:16882.1,383.0] || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))*.
% 299.83/300.51  9706[0:Rew:443.1,9698.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))* -> hBOOL(v)*.
% 299.83/300.51  17725[0:SpL:13680.1,6279.0] || equal(skf47(c_COMBI(u)),v)* equal(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Int_Onat,w))* -> .
% 299.83/300.51  23219[4:SpL:13680.1,18874.0] || equal(skf47(c_COMBI(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* -> SkP0(x,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.51  74188[0:SpR:13147.1,74160.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  74232[0:SpR:12435.1,74161.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  74255[0:SpR:13680.1,74162.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  74342[0:SpR:12260.1,74163.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  64813[0:SpL:13147.1,64775.0] || equal(skf48(c_fequal(skf64(u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  63061[0:MRR:63003.1,11908.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.51  63207[0:MRR:63159.1,2049.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.51  26636[0:SpL:12609.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.83/300.51  26696[0:SpR:12609.0,12935.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  25996[0:SpL:225.0,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.51  56480[0:SSi:56417.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.51  56859[0:SSi:56788.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  64785[0:SpR:13147.1,64662.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  25551[0:Res:12816.1,537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.83/300.51  25477[0:SpR:13147.1,25467.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  26254[0:SpR:13147.1,26080.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  64767[0:Res:64734.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.83/300.51  48046[0:SpL:12636.1,16194.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* equal(skf48(c_fequal(skf56(c_Groups_Oone__class_Oone(tc_Int_Oint),u))),u) -> .
% 299.83/300.51  53185[0:Res:11908.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.83/300.51  53186[0:Res:25418.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.51  56336[0:SSi:56292.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  56740[0:SSi:56705.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  63059[0:MRR:63019.1,2056.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  63205[0:MRR:63175.1,25570.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))*.
% 299.83/300.51  73720[2:SpL:13147.1,73427.0] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  73719[2:SpL:13147.1,73427.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  64821[0:Res:540.1,64775.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(skf64(u)))))* equal(skf48(c_fequal(skf64(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.83/300.51  25435[0:SpL:3614.0,1641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.83/300.51  25361[0:SpR:3614.0,1640.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.83/300.51  25458[0:SpR:13147.1,25447.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  25375[0:Res:1640.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))*.
% 299.83/300.51  56475[0:SSi:56435.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  56854[0:SSi:56806.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  73645[2:SpL:13147.1,73425.0] || equal(skf48(c_fequal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  73644[2:SpL:13147.1,73425.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  56341[0:SSi:56274.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.51  56745[0:SSi:56687.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  26752[0:SpL:12609.0,12937.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.83/300.51  26847[0:SpR:12609.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  44773[2:SpR:13147.1,41031.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  44791[2:SpR:13147.1,41054.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  44907[2:SpR:12435.1,41108.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  44908[2:SpR:12260.1,41127.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  44917[2:SpR:13680.1,41154.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  44918[2:SpR:12435.1,41174.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  44998[2:SpR:12260.1,41241.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  45007[2:SpR:13680.1,41260.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  45008[2:SpR:13147.1,42548.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  45026[2:SpR:13147.1,42571.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  45145[2:SpR:12435.1,42607.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  45146[2:SpR:12260.1,42626.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  45155[2:SpR:13680.1,42664.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  45190[2:SpR:12435.1,42684.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  45191[2:SpR:12260.1,42711.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  45200[2:SpR:13680.1,42730.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  16598[0:SpR:12260.1,12135.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  17208[0:SpR:12435.1,12334.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  17497[0:SpR:13147.1,12491.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  17687[0:SpR:13680.1,14395.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  29208[0:SpL:225.0,12641.0] || hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(u,v))*.
% 299.83/300.51  17576[0:SpL:13147.1,3620.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  11504[0:SpL:305.1,483.1] class_Rings_Oring__1(u) class_Int_Oring__char__0(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Oone__class_Oone(u))** -> equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v).
% 299.83/300.51  45138[0:SSi:45137.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.83/300.51  16623[0:SpR:12260.1,4986.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  53478[0:MRR:53247.2,9245.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(skf48(c_fequal(skf62(v,u))),u)**.
% 299.83/300.51  73730[4:SpL:13147.1,73456.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  25902[0:SpR:13147.1,25812.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  25934[0:SpR:12435.1,25813.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  25952[0:SpR:12260.1,25814.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  25977[0:SpR:13680.1,25815.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  16600[0:SpR:12260.1,12146.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  17210[0:SpR:12435.1,12345.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  17499[0:SpR:13147.1,12502.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  17688[0:SpR:13680.1,14413.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  26822[0:Rew:26800.1,26553.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf64(u)),v))),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.83/300.51  39593[0:MRR:39578.2,9522.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> .
% 299.83/300.51  39749[0:MRR:39712.2,9522.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.83/300.51  51187[0:Res:5871.1,12634.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.83/300.51  8363[0:Res:1639.2,4192.0] class_Orderings_Olinorder(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  8470[0:Res:428.2,4192.0] class_Orderings_Oorder(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  63117[0:Res:63055.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))*.
% 299.83/300.51  45596[0:Res:26072.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))*.
% 299.83/300.51  45609[0:Res:20513.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))*.
% 299.83/300.51  45303[0:Res:785.1,25381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  45364[0:Res:783.1,25381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  45304[0:Res:785.1,25382.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.83/300.51  45365[0:Res:783.1,25382.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.83/300.51  45610[0:Res:3536.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))*.
% 299.83/300.51  38685[0:SSi:38655.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> .
% 299.83/300.51  45316[0:Res:785.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  45377[0:Res:783.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  56478[0:SSi:56421.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(v))).
% 299.83/300.51  56857[0:SSi:56792.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)))*.
% 299.83/300.51  56339[0:SSi:56278.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(v))).
% 299.83/300.51  56743[0:SSi:56691.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)))*.
% 299.83/300.51  55713[0:SSi:55674.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),v))**.
% 299.83/300.51  16618[0:SpR:12260.1,16418.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56334[0:SSi:56296.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v)).
% 299.83/300.51  56738[0:SSi:56709.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56473[0:SSi:56439.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v)).
% 299.83/300.51  56852[0:SSi:56810.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  17213[0:SpR:12435.1,12435.1] || equal(skf57(u),v)* equal(skf57(u),w)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.51  17249[0:SpL:12435.1,12436.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(skf57(u),w)*.
% 299.83/300.51  28670[0:SpR:12435.1,28558.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  28870[0:SpR:12435.1,28643.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf48(w)))*.
% 299.83/300.51  29034[0:SpR:12435.1,28678.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29059[0:SpR:12435.1,28679.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29123[0:SpR:12435.1,28716.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf60(w)))*.
% 299.83/300.51  29191[0:SpR:12435.1,28746.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf47(w)))*.
% 299.83/300.51  17239[0:SpL:12435.1,12380.0] || equal(skf57(u),v)* hBOOL(hAPP(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.51  58547[0:SpR:12435.1,55641.1] || equal(skf57(u),v)* equal(skf57(u),skf49(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  73826[4:SpL:12435.1,73458.0] || equal(skf57(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  75602[4:SpR:12435.1,75577.0] || equal(skf57(u),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  73832[4:SpL:13147.1,73458.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.83/300.51  20460[0:SSi:20428.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.51  20489[8:SpL:10413.1,19409.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf57(c_Int_Onat))* -> .
% 299.83/300.51  17150[0:Res:428.2,12380.0] class_Orderings_Oorder(u) || equal(v,skf57(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  17151[0:Res:1639.2,12380.0] class_Orderings_Olinorder(u) || equal(v,skf57(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  28858[0:SpR:13147.1,28643.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29019[0:SpR:12435.1,28677.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29114[0:SpR:12260.1,28716.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29190[0:SpR:13680.1,28746.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  28671[0:SpR:13147.1,28558.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf57(w)))*.
% 299.83/300.51  29020[0:SpR:12435.1,28677.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf57(w)))*.
% 299.83/300.51  29035[0:SpR:12260.1,28678.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf57(w)))*.
% 299.83/300.51  29060[0:SpR:13680.1,28679.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf57(w)))*.
% 299.83/300.51  73735[4:SpL:12260.1,73457.0] || equal(skf60(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  73837[4:SpL:13147.1,73459.0] || equal(skf48(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  66560[8:SpL:13147.1,66482.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  49174[8:SpL:48262.0,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf47(c_Int_Onat),v))** -> equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),u).
% 299.83/300.51  50348[8:SpL:13147.1,49472.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  66372[8:SpR:49088.0,382.1] || equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  73749[4:SpL:13147.1,73457.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.83/300.51  73856[4:SpL:13147.1,73459.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.83/300.51  56471[0:SSi:56441.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v)).
% 299.83/300.51  56850[0:SSi:56812.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  55711[0:SSi:55676.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),v))**.
% 299.83/300.51  16620[0:SpR:12260.1,16420.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56332[0:SSi:56298.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v)).
% 299.83/300.51  56736[0:SSi:56711.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  73875[4:SpL:13147.1,73460.0] || equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.83/300.51  17691[0:SpR:13680.1,13680.1] || equal(skf47(u),v)* equal(skf47(u),w)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.51  17752[0:SpL:13680.1,13681.0] || equal(skf47(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(skf47(u),w)*.
% 299.83/300.51  20462[0:SSi:20426.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.51  28739[0:SpR:13680.1,28560.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29002[0:SpR:13680.1,28645.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf48(w)))*.
% 299.83/300.51  29177[0:SpR:13680.1,28718.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf60(w)))*.
% 299.83/300.51  29431[0:SpR:13680.1,28747.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  20989[0:SpL:13680.1,16218.0] || equal(skf47(u),v)* hBOOL(hAPP(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.51  73869[4:SpL:13680.1,73460.0] || equal(skf47(u),v)* equal(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  75644[4:SpR:13680.1,75579.0] || equal(skf47(u),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  56476[0:SSi:56423.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(v))).
% 299.83/300.51  56855[0:SSi:56794.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)))*.
% 299.83/300.51  56337[0:SSi:56280.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(v))).
% 299.83/300.51  56741[0:SSi:56693.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)))*.
% 299.83/300.51  29359[3:Res:5849.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf47(c_fNot))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  21080[0:Res:428.2,16218.0] class_Orderings_Oorder(u) || equal(v,skf47(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  21081[0:Res:1639.2,16218.0] class_Orderings_Olinorder(u) || equal(v,skf47(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  28990[0:SpR:13147.1,28645.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29168[0:SpR:12260.1,28718.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29455[0:SpR:13680.1,28748.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  28740[0:SpR:13147.1,28560.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf47(w)))*.
% 299.83/300.51  29432[0:SpR:12260.1,28747.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf47(w)))*.
% 299.83/300.51  29456[0:SpR:13680.1,28748.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf47(w)))*.
% 299.83/300.51  57376[8:SpL:10413.1,51177.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf46(c_Int_Onat))** -> .
% 299.83/300.51  30382[0:SpL:609.2,333.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),w,v)*.
% 299.83/300.51  30466[0:SpL:608.2,333.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,w)*.
% 299.83/300.51  30381[0:SpL:609.2,334.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),w,v)*.
% 299.83/300.51  29936[0:SpL:613.2,334.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,v)*.
% 299.83/300.51  30465[0:SpL:608.2,334.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,w)*.
% 299.83/300.51  29777[0:SpL:615.2,334.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,v)*.
% 299.83/300.51  51218[0:SSi:51208.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.83/300.51  16088[0:SSi:16080.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))**.
% 299.83/300.51  66706[0:SpL:10150.1,56564.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf50(u)))* -> .
% 299.83/300.51  40997[0:SSi:40982.1,40982.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u)),hAPP(c_Nat_OSuc,v)),skf50(u))**.
% 299.83/300.51  15290[0:SSi:15287.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Polynomial_OAbs__poly(tc_Nat_Onat,hAPP(c_COMBK(tc_Nat_Onat,tc_Nat_Onat),skf50(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))**.
% 299.83/300.51  29710[0:Rew:2545.0,29615.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),w)** -> equal(v,skf50(u))*.
% 299.83/300.51  75010[0:Res:19039.1,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) ||  -> SkP0(u,skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.83/300.51  20245[0:SpL:18862.1,3710.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP0(w,skf48(c_fequal(x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))*.
% 299.83/300.51  24596[0:SpR:10413.1,23769.0] || equal(u,skf64(v))* -> SkP0(w,skf48(c_fequal(skf50(skf64(v)))))* SkP1(x,u,skf64(y))*.
% 299.83/300.51  24611[0:SpR:10413.1,24608.0] || equal(u,skf64(v))* -> SkP0(w,skf48(c_fequal(skf50(skf64(v)))))* SkP1(x,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.51  24599[0:SpR:10413.1,23769.0] || equal(u,skf64(v))* -> SkP0(w,skf48(c_fequal(skf50(u))))* SkP1(x,skf64(v),skf64(y))*.
% 299.83/300.51  24614[0:SpR:10413.1,24608.0] || equal(u,skf64(v))* -> SkP0(w,skf48(c_fequal(skf50(u))))* SkP1(x,skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.51  63039[0:Res:19039.1,923.0] || SkP0(u,v) -> SkP0(w,skf48(c_fequal(hAPP(c_Int_Onat,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.51  9709[0:Rew:443.1,9693.2] class_Groups_Ocomm__monoid__add(u) || hBOOL(v)* -> hBOOL(hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.83/300.51  10661[0:Rew:354.1,10494.3] class_Groups_Ocomm__monoid__add(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.83/300.51  54027[0:SpL:352.1,51176.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.83/300.51  10656[0:Rew:365.1,10504.3] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))))*.
% 299.83/300.51  10659[0:Rew:363.1,10501.3] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))*.
% 299.83/300.51  10662[0:Rew:351.1,10493.3] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.83/300.51  54021[0:SpL:369.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf49(hAPP(c_Power_Opower__class_Opower(u),v))))*.
% 299.83/300.51  54023[0:SpL:364.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.83/300.51  54026[0:SpL:350.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.83/300.51  8206[0:SpL:408.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP2(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  8207[0:SpL:408.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP1(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  8083[0:SpL:402.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.51  7920[0:SpL:406.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  8084[0:SpL:402.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.51  7921[0:SpL:406.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  28514[0:MRR:28500.2,2780.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  8064[0:SpR:402.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  7918[0:SpR:5744.1,406.1] class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  10660[0:Rew:355.1,10495.3] class_Groups_Omonoid__add(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.83/300.51  54028[0:SpL:353.1,51176.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.83/300.51  10658[0:Rew:359.1,10502.3] class_Groups_Omonoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))*.
% 299.83/300.51  54022[0:SpL:372.1,51176.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf49(hAPP(c_Power_Opower__class_Opower(u),v))))*.
% 299.83/300.51  54024[0:SpL:361.1,51176.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.83/300.51  7876[0:SpL:413.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),w,v)*.
% 299.83/300.51  7877[0:SpL:413.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),w,v)*.
% 299.83/300.51  10657[0:Rew:360.1,10503.3] class_Groups_Ocomm__monoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))*.
% 299.83/300.51  54025[0:SpL:362.1,51176.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.83/300.51  25746[0:SpL:682.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  25745[0:SpL:682.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  61075[4:Res:42157.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),v)* equal(v,u).
% 299.83/300.51  26392[0:SpL:13147.1,26105.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> SkP0(v,w)*.
% 299.83/300.51  24603[0:SpR:13147.1,23769.0] || equal(skf48(c_fequal(skf50(u))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* SkP1(x,u,skf64(y))*.
% 299.83/300.51  24618[0:SpR:13147.1,24608.0] || equal(skf48(c_fequal(skf50(u))),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* SkP1(x,u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.51  20898[0:SpR:13147.1,19085.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.51  23221[0:SpR:13147.1,19039.0] || equal(skf48(c_fequal(u)),v)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.83/300.51  26390[0:SpL:13147.1,26104.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> SkP0(w,v)*.
% 299.83/300.51  23365[0:SpR:13147.1,19615.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))),x)* -> SkP0(y,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,x))*.
% 299.83/300.51  72121[2:SSi:72042.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.83/300.51  28625[0:SpR:13147.1,28557.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  28701[0:SpR:12260.1,28559.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  74031[0:SSi:73951.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))),u))*.
% 299.83/300.51  74032[0:SSi:73942.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))),u))*.
% 299.83/300.51  28887[0:SpR:13147.1,28644.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  29136[0:SpR:12260.1,28717.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  77070[0:MRR:76971.3,76971.5,301.1,230.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Groups_Oplus__class_Oplus(u),v,v)* -> hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.83/300.51  77072[0:MRR:76877.3,76877.5,301.1,230.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) SkP2(c_Groups_Otimes__class_Otimes(u),v,v)* -> hBOOL(c_Groups_Oone__class_Oone(u)).
% 299.83/300.51  55496[0:Res:54466.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf49(c_fNot))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.51  4341[0:Res:395.2,383.0] hBOOL(u) hBOOL(hAPP(c_Int_Onat,skf47(hAPP(c_fconj,u)))) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),v))*.
% 299.83/300.51  64462[4:MRR:64416.1,8759.0] || equal(hAPP(c_Int_Onat,u),skf49(c_fNot))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  58443[4:SpL:10413.1,54536.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf49(c_fNot))** -> .
% 299.83/300.51  12052[4:SpR:10413.1,10228.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w,skf50(u))*.
% 299.83/300.51  12048[0:SpR:10413.1,10210.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w,skf50(u))*.
% 299.83/300.51  12051[4:SpR:10413.1,10227.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u),w)*.
% 299.83/300.51  12050[4:SpR:10413.1,10226.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf50(u),w)*.
% 299.83/300.51  12049[4:SpR:10413.1,10225.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w,skf50(u))*.
% 299.83/300.51  12047[0:SpR:10413.1,10209.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w,skf50(u))*.
% 299.83/300.51  23565[0:SpR:10413.1,21788.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(skf44(skf50(u),w),w)**.
% 299.83/300.51  23547[0:SpR:10413.1,21263.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(skf45(skf50(u),w),w)**.
% 299.83/300.51  20476[8:SpL:10413.1,19311.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf48(c_fNot))** -> .
% 299.83/300.51  12074[0:SpL:10413.1,10275.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf64(w),skf50(u))* -> .
% 299.83/300.51  20395[0:Res:539.1,18661.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,skf64(v))))* equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  26445[0:SpL:3632.0,3744.0] || equal(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  52805[0:Res:18525.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.83/300.51  53675[0:SSi:53646.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))*.
% 299.83/300.51  58997[0:Rew:21737.1,58941.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),u))*.
% 299.83/300.51  79811[2:SpR:13147.1,79634.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  79829[2:SpR:13147.1,79635.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  56776[2:SpL:13147.1,53582.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_fNot)))* -> .
% 299.83/300.51  79810[2:SpR:13147.1,79634.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))))*.
% 299.83/300.51  79828[2:SpR:13147.1,79635.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))))*.
% 299.83/300.51  16624[0:SpR:12260.1,5017.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  14753[0:Rew:2544.0,14690.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(v,hAPP(c_Nat_OSuc,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.83/300.51  11394[0:SpL:5413.1,476.1] class_Rings_Oring__1(u) class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Oone__class_Oone(u))** -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v).
% 299.83/300.51  55471[0:MRR:55453.3,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> .
% 299.83/300.51  56326[0:Res:300.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.51  56329[0:Res:7329.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP1(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v)).
% 299.83/300.51  56466[0:Res:301.0,834.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP1(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v)).
% 299.83/300.51  77098[0:MRR:77097.0,77097.1,2440.0,1980.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),u)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)).
% 299.83/300.51  16496[0:Res:539.0,3629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),u).
% 299.83/300.51  59421[0:Res:3759.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.83/300.51  74176[0:SSi:74115.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))),u))*.
% 299.83/300.51  47883[0:SpL:3757.0,18661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.51  19307[0:Res:575.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),u))* -> .
% 299.83/300.51  26388[0:MRR:26378.2,218.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  6573[0:SpL:5744.1,419.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  10937[0:SpR:477.2,302.1] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  43695[0:Rew:10207.2,43555.2] class_Rings_Osemiring__1(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,w,v,x),hAPP(w,x))**.
% 299.83/300.51  20773[8:SpL:13147.1,20591.0] || equal(skf48(c_fequal(u)),v)* equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(u).
% 299.83/300.51  69913[0:SpL:13147.1,69878.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.51  11395[0:SpL:302.1,476.1] class_Rings_Osemiring__1(u) class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Oone__class_Oone(u))** -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v).
% 299.83/300.51  26059[0:SpR:13147.1,26032.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  26308[0:SpR:13147.1,26072.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  16499[0:Res:539.0,2537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,v)))* equal(hAPP(c_Int_Onat,u),c_Int_Onat__aux(u,v)).
% 299.83/300.51  27790[0:SpL:3632.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.83/300.51  8367[0:SpR:2872.0,375.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  26003[0:SpL:3614.0,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))).
% 299.83/300.51  8378[0:SpR:2872.0,1608.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u)).
% 299.83/300.51  28253[0:SpL:2872.0,9639.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.51  28710[0:SpR:13147.1,28559.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf60(w)))*.
% 299.83/300.51  29145[0:SpR:12260.1,28717.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf60(w)))*.
% 299.83/300.51  28637[0:SpR:13147.1,28557.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf48(w)))*.
% 299.83/300.51  28899[0:SpR:12260.1,28644.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf48(w)))*.
% 299.83/300.51  6571[0:SpL:5744.1,419.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.51  65747[0:Res:325.1,940.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.83/300.51  65709[0:Res:54125.0,938.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))))*.
% 299.83/300.51  65694[0:Res:325.1,938.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.83/300.51  20459[0:SSi:20429.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.51  12024[0:SpR:10413.1,10413.1] || equal(u,skf64(v))* equal(u,skf64(w))* -> equal(skf50(skf64(v)),skf50(skf64(w)))*.
% 299.83/300.51  24194[0:SpR:10413.1,12060.1] || equal(u,skf64(v))* equal(u,skf64(w))* -> SkP1(x,skf50(skf64(v)),skf64(w))*.
% 299.83/300.51  17502[0:SpR:13147.1,13147.1] || equal(skf48(u),v)* equal(skf48(u),w)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.51  16603[0:SpR:12260.1,12260.1] || equal(skf60(u),v)* equal(skf60(u),w)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))*.
% 299.83/300.51  17606[0:SpL:13147.1,6787.1] || equal(skf48(c_COMBI(u)),v)* equal(w,skf48(c_fNot)) equal(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> .
% 299.83/300.51  58562[0:SpR:12260.1,55642.1] || equal(skf60(u),v)* equal(skf60(u),skf49(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  8352[0:SpR:5744.1,1639.2] class_Orderings_Olinorder(u) || equal(v,w)* equal(x,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.83/300.51  8459[0:SpR:5744.1,428.2] class_Orderings_Oorder(u) || equal(v,w)* equal(x,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.83/300.51  16136[0:SpL:10413.1,12075.1] || equal(u,skf64(v))* equal(u,skf64(w))* equal(skf50(skf64(v)),skf64(w))* -> .
% 299.83/300.51  38808[0:SSi:38804.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> equal(u,v).
% 299.83/300.51  7291[0:SpL:5744.1,429.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.83/300.51  46231[0:Rew:12953.0,46184.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))))*.
% 299.83/300.51  78951[0:SSi:78841.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))))*.
% 299.83/300.51  46956[0:Res:3714.1,334.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.83/300.51  46347[0:Res:12957.1,333.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u)),skf48(c_fequal(v)))*.
% 299.83/300.51  46346[0:Res:12957.1,334.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u)),skf48(c_fequal(v)))*.
% 299.83/300.51  71147[0:Rew:1661.1,71013.1,1659.1,71013.1] class_Rings_Oring(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))*.
% 299.83/300.51  7015[0:SpL:418.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u,w).
% 299.83/300.51  7014[0:SpL:418.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u,w).
% 299.83/300.51  6981[0:SpR:418.0,5744.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))*.
% 299.83/300.51  71971[0:SSi:71970.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.83/300.51  62788[0:SpL:273.0,929.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(c_Nat_OSuc,u))** -> equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v).
% 299.83/300.51  46634[4:SpR:3704.0,8769.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.83/300.51  46734[0:SpL:3704.0,3718.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.83/300.51  46553[0:SpL:3703.0,3718.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.83/300.51  46454[4:SpR:3703.0,8769.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  46501[0:SpR:313.1,3703.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(u)),u))**.
% 299.83/300.51  62393[0:SpR:21745.1,24282.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Nat_OSuc,skf44(u,v)),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  62989[0:MRR:62983.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,u,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.51  6646[0:SpR:5744.1,437.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  6664[0:SpR:5744.1,437.0] || equal(hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.83/300.51  42238[0:SpL:3709.1,9752.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v)),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  68339[0:Rew:3749.0,68308.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.83/300.51  68338[0:Rew:3753.0,68304.0,3749.0,68304.0,3753.0,68304.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.83/300.51  75407[0:Rew:12551.0,75392.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)),u))* -> .
% 299.83/300.51  74583[0:Rew:12551.0,74564.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)),u))* -> .
% 299.83/300.51  60756[0:Rew:15222.0,60640.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.51  6662[0:SpR:2135.1,437.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))*.
% 299.83/300.51  75356[0:Rew:12551.0,75334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)),u))* -> .
% 299.83/300.51  21737[0:Rew:21719.1,21163.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),skf44(u,v))**.
% 299.83/300.51  18143[0:SpR:15222.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),w)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  60759[0:Rew:3654.0,60729.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.83/300.51  7874[0:SpR:5744.1,413.1] class_Groups_Omonoid__mult(u) || equal(c_Groups_Oone__class_Oone(u),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  7663[0:SpR:5744.1,407.1] class_Rings_Omult__zero(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  7700[0:SpR:5744.1,405.1] class_RealVector_Oreal__normed__algebra(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  7948[0:SpR:403.1,5744.1] class_Rings_Omult__zero(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  8018[0:SpR:401.1,5744.1] class_RealVector_Oreal__normed__algebra(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  17636[0:SpL:13147.1,13148.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(skf48(u),w)*.
% 299.83/300.51  16973[0:SpL:12260.1,12261.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(skf60(u),w)*.
% 299.83/300.51  53475[0:MRR:53415.1,51944.1] || equal(u,skf48(c_fequal(v)))* -> equal(skf48(c_fequal(skf62(w,u))),u)** hBOOL(hAPP(w,v))*.
% 299.83/300.51  47718[4:SpR:3757.0,8780.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.83/300.51  62453[0:Rew:276.0,62377.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  25085[0:SpR:3690.1,24692.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf44(u,v),w)* -> SkP1(x,w,v)*.
% 299.83/300.51  23055[4:SpR:3690.1,22963.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf44(skf64(u),v),skf50(v))*.
% 299.83/300.51  23901[0:SpR:3690.1,22821.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> SkP1(w,hAPP(c_Nat_OSuc,skf44(skf64(u),v)),v)*.
% 299.83/300.51  21684[0:SpR:3690.1,11296.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(skf64(u),v)),v))*.
% 299.83/300.51  41897[0:MRR:41788.2,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.83/300.51  7312[0:SpL:2135.1,426.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.83/300.51  40847[0:MRR:40846.1,2803.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)).
% 299.83/300.51  74454[0:Rew:276.0,74442.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  42086[0:SpL:3705.1,9752.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v))* equal(hAPP(c_Nat_OSuc,skf52(skf64(u),v)),v) -> .
% 299.83/300.51  38396[0:SSi:38377.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,skf50(skf64(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)))* -> .
% 299.83/300.51  59306[0:Res:59153.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf51(skf64(u),w)),v))*.
% 299.83/300.51  52808[0:Res:42911.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(skf64(u),w)),v))*.
% 299.83/300.51  38686[0:SSi:38630.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf50(skf64(u))))* -> .
% 299.83/300.51  53534[0:MRR:53533.1,27633.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(v)))* equal(u,v).
% 299.83/300.51  17533[0:SpR:13147.1,11419.0] || equal(skf48(c_fequal(skf64(u))),v) -> SkP1(w,skf50(skf64(u)),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))*.
% 299.83/300.51  43268[0:SpL:13147.1,42887.0] || equal(skf48(c_fequal(skf50(skf64(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fequal(skf64(u))))* -> .
% 299.83/300.51  17602[0:SpL:13147.1,9714.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),skf50(skf64(u)))* -> .
% 299.83/300.51  52825[0:Res:300.1,875.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.83/300.51  27962[0:SpL:3654.0,3739.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.83/300.51  61766[0:Res:3721.1,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.51  61788[0:Rew:3632.0,61737.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.83/300.51  52827[0:Res:7329.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP1(w,u,x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))*.
% 299.83/300.51  27404[0:SpR:3654.0,3681.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w)))*.
% 299.83/300.51  59859[0:Rew:3632.0,59816.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(w,u)),c_Int_Onat__aux(w,v)))*.
% 299.83/300.51  41936[4:MRR:41935.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.51  52809[4:Res:43025.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(u,w)),v))*.
% 299.83/300.51  63064[0:MRR:63011.1,2052.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))).
% 299.83/300.51  7315[0:SpL:5744.1,426.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.83/300.51  63209[0:MRR:63167.1,2052.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.83/300.51  16619[0:SpR:12260.1,16419.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  16626[0:SpR:12260.1,16274.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  41395[0:MRR:41353.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.51  63208[0:MRR:63183.1,19039.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))).
% 299.83/300.51  10004[0:SpR:9487.0,468.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),hAPP(c_Nat_OSuc,u)))*.
% 299.83/300.51  17539[0:SpR:13147.1,3537.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  17541[0:SpR:13147.1,7330.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  56650[0:SSi:56639.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))*.
% 299.83/300.51  27514[0:Res:3682.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.83/300.51  27708[0:Res:3722.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.83/300.51  47761[0:SpR:3757.0,9497.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u)))))*.
% 299.83/300.51  26720[0:Res:12935.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.83/300.51  41394[0:MRR:41377.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u)** -> .
% 299.83/300.51  42016[0:SpR:3705.1,18149.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf52(u,v)),skf50(v))**.
% 299.83/300.51  17571[0:SpL:13147.1,3629.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)),u))* -> .
% 299.83/300.51  41890[0:Rew:284.0,41563.1] || hBOOL(u) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.51  14616[0:Res:520.1,518.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))).
% 299.83/300.51  26922[0:Res:12782.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.83/300.51  59266[0:Res:54158.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))))*.
% 299.83/300.51  17540[0:SpR:13147.1,3549.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  61555[0:Rew:3632.0,61506.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.83/300.51  17516[0:SpR:13147.1,9514.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(w))))*.
% 299.83/300.51  17531[0:SpR:13147.1,11296.0] || equal(skf48(c_fequal(skf64(u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)))*.
% 299.83/300.51  27491[0:SpR:3654.0,3682.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,w)))*.
% 299.83/300.51  59446[0:Rew:3632.0,59393.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,u)),c_Int_Onat__aux(w,v)))*.
% 299.83/300.51  8128[0:SpL:410.1,333.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  8172[0:SpL:396.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  7666[0:SpL:407.1,333.0] class_Rings_Omult__zero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  7703[0:SpL:405.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  7966[0:SpL:403.1,333.0] class_Rings_Omult__zero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.51  8037[0:SpL:401.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.51  24525[0:SpR:13147.1,24439.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP1(w,hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  23880[0:SpR:13147.1,22821.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP1(w,hAPP(c_Nat_OSuc,x),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))*.
% 299.83/300.51  23635[0:SpR:13147.1,22764.0] || equal(skf48(c_fequal(u)),v) -> SkP1(w,hAPP(c_Nat_OSuc,u),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(x)))*.
% 299.83/300.51  17514[0:SpR:13147.1,3627.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(u,w))* -> SkP1(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  7171[0:SpL:412.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u,w).
% 299.83/300.51  7102[0:SpL:414.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w))* -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u,w).
% 299.83/300.51  56949[0:Res:7329.1,21751.0] || equal(skf44(u,v),w)* -> SkP1(x,v,u)* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.83/300.51  47763[4:SpR:3757.0,22543.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u)),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u)))))*.
% 299.83/300.51  22935[4:SpR:10413.1,22543.0] || equal(c_Int_Onat__aux(u,skf64(v)),skf64(w))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v)),skf50(skf64(w)))*.
% 299.83/300.51  22951[4:SpR:13147.1,22551.0] || equal(skf48(c_fequal(u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(w))))*.
% 299.83/300.51  22974[4:SpR:10413.1,22551.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)),skf64(w))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,skf50(skf64(w)))*.
% 299.83/300.51  22999[4:SpR:10413.1,22559.0] || equal(c_Int_Onat__aux(u,skf64(v)),skf64(w))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),skf50(skf64(w)))*.
% 299.83/300.51  20347[4:SpR:13147.1,18292.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w))*.
% 299.83/300.51  23034[4:SpR:13147.1,22963.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,skf50(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)))*.
% 299.83/300.51  75571[4:SpR:12260.1,75566.0] || equal(skf60(u),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  75605[4:SpR:13147.1,75578.0] || equal(skf48(u),v)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  23056[4:SpR:10413.1,22963.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),skf64(w))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,skf50(skf64(w)))*.
% 299.83/300.51  69715[0:Rew:2544.0,69478.1,12609.0,69478.1] || hBOOL(hAPP(u,v))* equal(hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,w))* -> hBOOL(hAPP(u,w))*.
% 299.83/300.51  26266[0:SpR:13147.1,26052.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56904[0:Res:2030.0,21751.0] || equal(skf44(u,hAPP(c_Nat_OSuc,u)),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),hAPP(c_Nat_OSuc,u))**.
% 299.83/300.51  56908[0:Res:2523.0,21751.0] || equal(skf44(u,c_Int_Onat__aux(v,u)),w)* -> equal(c_Int_Onat__aux(v,u),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.83/300.51  26267[0:SpR:13147.1,26052.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.51  7074[0:SpR:414.0,5744.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))*.
% 299.83/300.51  7141[0:SpR:412.0,5744.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))*.
% 299.83/300.51  29215[0:SpL:3614.0,12641.0] || hBOOL(hAPP(u,v))* equal(skf48(c_fequal(v)),skf48(c_fequal(w)))* -> hBOOL(hAPP(u,w))*.
% 299.83/300.51  53158[0:Res:5747.1,873.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.83/300.51  29322[0:Res:18720.1,12641.0] class_Orderings_Olinorder(u) || equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),w))*.
% 299.83/300.51  29323[0:Res:269.1,12641.0] class_Orderings_Opreorder(u) || equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),w))*.
% 299.83/300.51  28234[0:SpL:414.0,12642.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.83/300.51  73822[0:SSi:73817.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) -> .
% 299.83/300.51  8290[0:SpL:5744.1,435.1] class_Rings_Olinordered__semidom(u) || equal(c_Groups_Ozero__class_Ozero(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),v))* -> .
% 299.83/300.51  16654[0:SpL:12260.1,12183.0] || equal(skf60(u),v)* hBOOL(hAPP(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.51  17616[0:SpL:13147.1,12538.0] || equal(skf48(u),v)* hBOOL(hAPP(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(w,skf60(w)))*.
% 299.83/300.51  17513[0:SpR:13147.1,3626.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(u,w))* -> SkP2(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  63102[0:SpR:13147.1,63055.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  16604[0:SpR:12260.1,4896.0] || equal(skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),v) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  20499[0:SpR:13147.1,19575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  17536[0:SpR:13147.1,3536.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  20714[0:SpR:13147.1,20513.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))*.
% 299.83/300.51  20461[0:SSi:20427.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.83/300.51  11262[0:Obv:11256.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  56981[0:Rew:3654.0,56913.1] || equal(skf44(hAPP(c_Int_Onat,u),c_Int_Onat__aux(u,v)),w)* -> equal(c_Int_Onat__aux(u,v),c_Int_Onat__aux(u,w))*.
% 299.83/300.51  17522[0:SpR:13147.1,3632.0] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),v)* -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Int_Onat__aux(u,w))*.
% 299.83/300.51  17515[0:SpR:13147.1,3654.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Int_Onat,w)),c_Int_Onat__aux(w,u))*.
% 299.83/300.51  63130[0:SpR:13147.1,63096.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.83/300.51  26330[0:SpR:13147.1,26285.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.83/300.51  28392[0:SpL:13147.1,28333.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u)* -> .
% 299.83/300.51  26329[0:SpR:13147.1,26285.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  63129[0:SpR:13147.1,63096.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  17586[0:SpL:13147.1,5838.0] || equal(skf48(c_fequal(u)),v)* equal(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* -> equal(hAPP(c_Int_Onat,w),u)*.
% 299.83/300.51  17637[0:SpL:12874.1,13148.0] || equal(u,v)* equal(skf48(c_fequal(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* -> equal(skf48(c_fequal(u)),w)*.
% 299.83/300.51  29360[0:Res:5848.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf60(c_Int_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  55422[0:Res:54454.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf49(c_Int_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  29293[0:Res:5746.1,12641.0] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_fequal(v),w))*.
% 299.83/300.51  28246[0:SSi:28241.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),skf48(c_fequal(w)))),u))*.
% 299.83/300.51  17517[0:SpR:13147.1,12874.1] || equal(skf48(c_fequal(u)),v)* equal(u,w)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fequal(w)))*.
% 299.83/300.51  17583[0:SpL:13147.1,12873.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fequal(w)))* -> equal(u,w)*.
% 299.83/300.51  17504[0:SpR:13147.1,3749.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.83/300.51  17593[0:SpL:13147.1,7199.0] || equal(skf48(c_fequal(skf48(c_fequal(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_Int_Onat))** -> hBOOL(u).
% 299.83/300.51  17580[0:SpL:13147.1,7199.0] || equal(skf48(c_fequal(u)),v)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf48(c_Int_Onat))** -> hBOOL(u).
% 299.83/300.51  16305[0:Res:428.2,12183.0] class_Orderings_Oorder(u) || equal(v,skf60(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  16306[0:Res:1639.2,12183.0] class_Orderings_Olinorder(u) || equal(v,skf60(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  17364[0:Res:428.2,12538.0] class_Orderings_Oorder(u) || equal(v,skf48(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  17365[0:Res:1639.2,12538.0] class_Orderings_Olinorder(u) || equal(v,skf48(w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.83/300.51  58719[0:Obv:58714.0] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),x)* -> equal(w,skf36(u,x))*.
% 299.83/300.51  58610[0:Obv:58605.0] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),x)* -> equal(v,skf37(u,x))*.
% 299.83/300.51  56474[0:SSi:56438.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v)).
% 299.83/300.51  56853[0:SSi:56809.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56472[0:SSi:56440.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v)).
% 299.83/300.51  56851[0:SSi:56811.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56335[0:SSi:56295.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v)).
% 299.83/300.51  56739[0:SSi:56708.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56333[0:SSi:56297.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v)).
% 299.83/300.51  56737[0:SSi:56710.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  56479[0:SSi:56420.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(v))).
% 299.83/300.51  56858[0:SSi:56791.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)))*.
% 299.83/300.51  56477[0:SSi:56422.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(v))).
% 299.83/300.51  56856[0:SSi:56793.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)))*.
% 299.83/300.51  56340[0:SSi:56277.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(v))).
% 299.83/300.51  56744[0:SSi:56690.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)))*.
% 299.83/300.51  56338[0:SSi:56279.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(v))).
% 299.83/300.51  56742[0:SSi:56692.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)))*.
% 299.83/300.51  56849[0:SSi:56842.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  55712[0:SSi:55675.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),v))**.
% 299.83/300.51  55714[0:SSi:55673.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),v))**.
% 299.83/300.51  72147[0:SSi:72146.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.83/300.51  72312[0:SSi:72311.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.83/300.51  16155[0:SpR:505.1,526.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.83/300.51  16156[0:SpR:506.1,526.1] class_Groups_Oab__group__add(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.83/300.51  7965[0:SpL:403.1,334.0] class_Rings_Omult__zero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.51  8036[0:SpL:401.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.83/300.51  7665[0:SpL:407.1,334.0] class_Rings_Omult__zero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  7702[0:SpL:405.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  8127[0:SpL:410.1,334.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  8171[0:SpL:396.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)*.
% 299.83/300.51  7170[0:SpL:412.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u,w).
% 299.83/300.51  7101[0:SpL:414.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w))* -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u,w).
% 299.83/300.51  54012[0:SpL:313.1,51176.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.83/300.51  42979[0:Obv:42974.0] class_Groups_Ozero(u) ||  -> equal(c_Nat_Onat_Onat__case(u,skf37(u,v),c_Polynomial_Ocoeff(u,skf36(u,v))),c_Polynomial_Ocoeff(u,v))**.
% 299.83/300.51  78289[0:SSi:78180.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u))))*.
% 299.83/300.51  58157[0:SSi:58129.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u))* -> equal(v,w).
% 299.83/300.51  58424[0:SSi:58423.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v))* -> equal(u,w).
% 299.83/300.51  49743[0:SSi:49660.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.83/300.51  10463[0:SpL:356.1,464.1] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.51  54029[0:SpL:394.1,51176.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.83/300.51  54100[0:SpL:746.1,51176.0] class_Groups_Ogroup__add(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.83/300.51  10464[0:SpL:371.1,464.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.51  76295[0:Obv:76274.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.83/300.51  20074[0:SpR:554.1,507.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Odvd(tc_Polynomial_Opoly(u)) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.83/300.51  74024[0:SSi:73985.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))),u))*.
% 299.83/300.51  74025[0:SSi:73984.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))),u))*.
% 299.83/300.51  74174[0:SSi:74151.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))),u))*.
% 299.83/300.51  40976[0:SpR:219.0,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  40980[0:SpR:9368.0,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),skf64(v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  54432[0:AED:109.0,54095.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.83/300.51  44007[0:SpR:210.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_COMBI(x)),y),z),hAPP(z,hAPP(y,z)))*.
% 299.83/300.51  43875[0:SpR:210.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_COMBI(y)),z),hAPP(hAPP(x,z),z))*.
% 299.83/300.51  111872[18:MRR:16248.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf60(u))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf60(u))))))*.
% 299.83/300.51  111873[18:MRR:17311.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf48(u))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf48(u))))))*.
% 299.83/300.51  111874[18:MRR:21022.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf47(u))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf47(u))))))*.
% 299.83/300.51  111875[18:MRR:17097.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf57(u))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf57(u))))))*.
% 299.83/300.51  111876[18:MRR:29242.1,111803.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  111877[18:MRR:4976.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.51  111878[18:MRR:29220.1,111803.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  111879[18:MRR:16246.1,111803.0] || equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))))*.
% 299.83/300.51  111880[18:MRR:17095.1,111803.0] || equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))))*.
% 299.83/300.51  111881[18:MRR:17309.1,111803.0] || equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))))*.
% 299.83/300.51  111882[18:MRR:21020.1,111803.0] || equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))))*.
% 299.83/300.51  111884[18:MRR:4858.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.83/300.51  124626[18:Res:111821.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf49(c_Nat_OSuc))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  131841[18:SpL:12435.1,111839.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  131842[18:SpL:12435.1,122639.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  132261[18:SpL:13680.1,111837.0] || equal(skf47(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  132262[18:SpL:13680.1,122640.0] || equal(skf47(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  133560[18:SpL:13147.1,111838.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  133561[18:SpL:13147.1,114152.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  133952[18:SpL:12260.1,111840.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  133953[18:SpL:12260.1,114153.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf60(c_Nat_OSuc)))*.
% 299.83/300.51  135071[18:SpR:10413.1,111845.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),w,skf50(u))*.
% 299.83/300.51  135072[18:SpR:10413.1,111846.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),w,skf50(u))*.
% 299.83/300.51  144335[18:SpR:13147.1,144249.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144363[18:SpR:12260.1,144250.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144466[18:SpR:12435.1,144251.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144479[18:SpR:13680.1,144252.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144625[18:SpR:13147.1,144508.1] || equal(skf48(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144653[18:SpR:12260.1,144509.1] || equal(skf60(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144727[18:SpR:12435.1,144510.1] || equal(skf57(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  144739[18:SpR:13680.1,144511.1] || equal(skf47(u),v)* equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) -> hBOOL(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  149169[23:SpL:13680.1,148983.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.83/300.51  149172[23:SpL:13680.1,148984.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.83/300.51  149175[23:SpL:13680.1,148985.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> .
% 299.83/300.51  150327[0:Res:63058.1,636.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.51  150328[0:Res:63058.1,824.1] class_Rings_Oring__1(u) || SkP0(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.51  150329[0:Res:63058.1,12634.1] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.83/300.51  150690[4:Res:150394.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf47(c_Int_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  151746[0:SpL:13147.1,151702.0] || equal(skf48(c_fequal(skf64(u))),v)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.83/300.51  151780[6:SpL:13147.1,151774.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.51  152716[0:SpR:10150.1,71781.1] class_Orderings_Opreorder(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,skf50(v))),skf50(v))**.
% 299.83/300.51  152821[0:SpR:10150.1,71782.1] class_Orderings_Olinorder(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,skf50(v))),skf50(v))**.
% 299.83/300.51  152829[2:SpR:10150.1,63093.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)))))*.
% 299.83/300.51  152952[2:SpR:13147.1,152835.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u) -> hBOOL(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))))*.
% 299.83/300.51  152953[2:SpR:13147.1,152835.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  152968[2:SpL:10150.1,152950.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u))))),skf48(c_fNot))** -> .
% 299.83/300.51  152971[2:SpL:10150.1,152967.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u))))),skf46(c_Int_Onat))** -> .
% 299.83/300.51  153774[2:Res:153698.0,786.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.83/300.51  155297[8:SpR:49088.0,75357.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))))*.
% 299.83/300.51  156097[0:SpR:13147.1,64735.0] || equal(skf48(c_fequal(skf64(u))),v)* -> equal(skf48(c_fequal(skf64(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))**.
% 299.83/300.51  157315[8:SpL:49088.0,56385.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.83/300.51  157411[0:SpL:10150.1,157314.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf50(u)))* -> .
% 299.83/300.51  157750[8:SpL:49088.0,56384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> .
% 299.83/300.51  157808[8:SpL:49088.0,56233.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))))),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.83/300.51  158374[0:SpL:2872.0,63156.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))* -> .
% 299.83/300.51  159341[18:SpL:10413.1,159340.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(skf50(u),skf46(c_Nat_OSuc))** -> .
% 299.83/300.51  163002[26:SpL:13147.1,162989.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> SkP0(u,w)*.
% 299.83/300.51  163278[2:SpR:13147.1,163233.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* -> hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  168780[27:SpL:13147.1,168770.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> SkP0(w,u)*.
% 299.83/300.51  170415[18:MRR:170414.1,111803.0] || equal(skf68(c_Nat_OSuc,u,v),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170416[8:MRR:170411.1,19248.0] || equal(skf68(c_Int_Onat,u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170417[8:MRR:170410.1,19248.0] || equal(skf68(c_Int_Onat,u,v),skf47(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170418[8:MRR:170409.1,19248.0] || equal(skf68(c_Int_Onat,u,v),skf49(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170419[8:MRR:170408.1,19248.0] || equal(skf68(c_Int_Onat,u,v),skf60(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170420[8:MRR:170404.1,19248.0] || equal(skf68(c_Int_Onat,u,v),skf47(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170438[8:MRR:170293.1,170293.2,19248.0,8759.0] || equal(skf68(c_Int_Onat,u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170439[8:MRR:170292.1,170292.2,19248.0,8759.0] || equal(skf68(c_Int_Onat,u,v),skf49(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170440[18:MRR:170291.1,170291.2,19248.0,111803.0] || equal(skf68(c_Int_Onat,u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170444[18:MRR:170443.1,111803.0] || equal(skf68(c_Nat_OSuc,u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170463[4:MRR:170462.0,8759.0] || hBOOL(skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))*.
% 299.83/300.51  170465[4:MRR:170464.0,8759.0] || hBOOL(skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))*.
% 299.83/300.51  170467[4:MRR:170466.0,8759.0] || hBOOL(skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))*.
% 299.83/300.51  170805[18:MRR:170804.1,111803.0] || equal(skf67(c_Nat_OSuc,u,v),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170806[8:MRR:170799.1,19248.0] || equal(skf67(c_Int_Onat,u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170807[8:MRR:170798.1,19248.0] || equal(skf67(c_Int_Onat,u,v),skf47(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170808[8:MRR:170797.1,19248.0] || equal(skf67(c_Int_Onat,u,v),skf49(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170809[8:MRR:170796.1,19248.0] || equal(skf67(c_Int_Onat,u,v),skf60(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170810[8:MRR:170792.1,19248.0] || equal(skf67(c_Int_Onat,u,v),skf47(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170828[8:MRR:170681.1,170681.2,19248.0,8759.0] || equal(skf67(c_Int_Onat,u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170829[8:MRR:170680.1,170680.2,19248.0,8759.0] || equal(skf67(c_Int_Onat,u,v),skf49(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170830[18:MRR:170679.1,170679.2,19248.0,111803.0] || equal(skf67(c_Int_Onat,u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170834[18:MRR:170833.1,111803.0] || equal(skf67(c_Nat_OSuc,u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.83/300.51  170853[4:MRR:170852.0,8759.0] || hBOOL(skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))*.
% 299.83/300.51  170855[4:MRR:170854.0,8759.0] || hBOOL(skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))*.
% 299.83/300.51  170857[4:MRR:170856.0,8759.0] || hBOOL(skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))*.
% 299.83/300.51  171433[0:SSi:171403.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  171769[2:SSi:171762.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.83/300.51  172151[2:SSi:172142.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.83/300.51  172269[0:Rew:496.1,172230.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.83/300.51  172546[0:Rew:699.2,172545.2] class_Rings_Osemiring__0(u) class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  173611[0:SSi:173608.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  173612[0:SSi:173599.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.51  173816[2:SSi:173809.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))*.
% 299.83/300.51  173897[0:SpL:13147.1,173541.0] || equal(skf48(c_fequal(u)),v) equal(skf48(c_fequal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.51  173933[0:SpL:13147.1,173541.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.51  173991[0:SpL:13147.1,173913.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,hAPP(c_Int_Onat,u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.51  174251[2:SSi:174242.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))*.
% 299.83/300.51  174611[28:SpR:13147.1,169757.1] || equal(skf48(c_fequal(u)),v)* equal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u)* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  175430[4:SpR:13147.1,175193.0] || equal(skf48(c_fequal(skf64(u))),v)* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w))*.
% 299.83/300.51  175517[2:MRR:175503.1,4367.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Orderings_Oord__class_OLeast(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.83/300.51  176684[0:SSi:176670.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  176685[4:SSi:176658.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),v))*.
% 299.83/300.51  176686[0:SSi:176642.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP1(w,u,x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.83/300.51  176687[0:SSi:176630.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf64(u),w)),v))*.
% 299.83/300.51  176688[0:SSi:176629.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf64(u),w)),v))*.
% 299.83/300.51  176689[0:SSi:176623.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  176690[0:SSi:176615.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.83/300.51  176692[0:SSi:176563.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  176693[0:SSi:176562.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.83/300.51  176993[0:SSi:176964.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.83/300.51  176994[0:SSi:176921.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.83/300.51  176995[0:SSi:176900.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.83/300.51  176996[0:SSi:176832.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.83/300.51  176997[0:SSi:176809.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.83/300.51  150002[2:Res:146402.0,12569.0] ||  -> equal(skf48(c_fequal(skf64(skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))),skf57(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.83/300.51  159802[2:Res:146401.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.83/300.51  77976[10:MRR:77969.1,38830.0] || equal(hAPP(c_Nat_OSuc,skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.51  161894[10:MRR:161886.1,38830.0] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.83/300.51  58201[2:SpR:1657.0,54405.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.83/300.51  175801[2:SSi:175734.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  175966[2:SSi:175929.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  45067[2:SpR:753.0,7974.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.83/300.51  57998[2:SpR:753.0,54139.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.83/300.51  62102[2:SpR:753.0,51947.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.83/300.51  72642[2:SSi:72558.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.83/300.51  171982[10:MRR:171979.0,38830.0] ||  -> SkP0(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),w)* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.51  171983[10:MRR:171978.0,38830.0] ||  -> SkP0(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),w)* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.51  172034[10:MRR:172018.0,38830.0] ||  -> SkP0(u,skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v,w))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.51  172035[10:MRR:172017.0,38830.0] ||  -> SkP0(u,skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v,w))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.83/300.51  147192[2:Res:146398.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u)))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.83/300.51  159724[2:Res:64525.1,824.1] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.51  159725[2:Res:64525.1,12634.1] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.83/300.51  39950[10:SpR:10413.1,38831.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf50(u)))*.
% 299.83/300.51  16607[2:SpR:12260.1,7974.0] || equal(skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  62111[2:Res:51947.1,383.0] || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))),u)** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))*.
% 299.83/300.51  51451[2:MRR:51355.0,12497.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(v))),u))*.
% 299.83/300.51  78185[2:SpR:1078.0,51888.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))*.
% 299.83/300.51  62113[2:Res:51947.1,12569.0] || equal(skf57(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),u) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(v))))*.
% 299.83/300.51  50887[2:SpR:13147.1,48528.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  50906[2:SpR:12435.1,48564.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  58918[2:SpR:12260.1,48594.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  58927[2:SpR:13680.1,48621.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  50868[2:SpR:13147.1,48505.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  58928[2:SpR:12435.1,48641.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  58929[2:SpR:12260.1,48668.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  59014[2:SpR:13680.1,48781.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  50614[2:SpR:13147.1,47018.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  50692[2:SpR:12435.1,47054.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  50693[2:SpR:12260.1,47112.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  50702[2:SpR:13680.1,47139.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  50595[2:SpR:13147.1,46995.1] || equal(skf48(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  50703[2:SpR:12435.1,47159.1] || equal(skf57(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  50736[2:SpR:12260.1,47186.1] || equal(skf60(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  50745[2:SpR:13680.1,47256.1] || equal(skf47(u),v)* equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  49742[10:SSi:49723.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.83/300.51  150162[2:SSi:150135.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),skf49(c_fNot)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.83/300.51  150011[2:SSi:149993.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* equal(skf48(c_fequal(skf64(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.51  160846[2:SSi:160745.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  161847[2:SSi:161770.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  40559[2:MRR:40516.0,12497.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u)))))))*.
% 299.83/300.51  11810[2:MRR:11793.1,4360.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.83/300.51  177292[0:SSi:177278.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  177293[4:SSi:177267.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),v))*.
% 299.83/300.51  177294[0:SSi:177251.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP1(w,u,x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.83/300.51  177295[0:SSi:177239.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf64(u),w)),v))*.
% 299.83/300.51  177296[0:SSi:177238.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf64(u),w)),v))*.
% 299.83/300.51  177300[0:SSi:177185.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.83/300.51  177301[0:SSi:177172.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  177302[0:SSi:177171.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.83/300.51  177719[0:SSi:177706.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  177720[4:SSi:177695.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(v,w)))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  177721[0:SSi:177679.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP1(w,x,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.83/300.51  177722[0:SSi:177667.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf51(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  177723[0:SSi:177666.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  177724[0:SSi:177660.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  177725[0:SSi:177652.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  177727[0:SSi:177600.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  177728[0:SSi:177599.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178010[0:SSi:177977.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178011[0:SSi:177976.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178012[4:SSi:177965.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(v,w)))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  178013[0:SSi:177940.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP1(w,x,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.83/300.51  178014[0:SSi:177918.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf51(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  178015[0:SSi:177917.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  178016[0:SSi:177914.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,skf64(w))))*.
% 299.83/300.51  178017[0:SSi:177905.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  178018[0:SSi:177900.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  178019[0:SSi:177846.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(skf64(v)))))*.
% 299.83/300.51  178020[0:SSi:177835.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178021[0:SSi:177834.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178279[0:SSi:178266.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178280[4:SSi:178255.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(v,w)))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  178281[0:SSi:178239.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP1(w,x,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.83/300.51  178282[0:SSi:178227.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf51(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  178283[0:SSi:178226.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.83/300.51  178284[0:SSi:178220.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  178285[0:SSi:178219.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.83/300.51  178286[0:SSi:178212.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  178287[0:SSi:178173.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf64(v)))))*.
% 299.83/300.51  178288[0:SSi:178160.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178289[0:SSi:178159.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  178569[0:SSi:178541.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  178570[0:SSi:178479.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,skf64(w))))*.
% 299.83/300.51  178571[0:SSi:178411.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf64(v)))))*.
% 299.83/300.51  179041[0:SSi:178929.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.83/300.51  179043[0:SSi:178858.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.51  179310[0:Obv:179183.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)))*.
% 299.83/300.51  179311[0:SSi:179170.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,skf64(x),w)),v))*.
% 299.83/300.51  179327[0:Rew:364.1,179248.2] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Oone__class_Oone(u)),v)**.
% 299.83/300.51  180208[0:SSi:180207.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)))**.
% 299.83/300.51  180477[0:Res:149.0,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,skf55(v,u)))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.83/300.51  181483[0:SSi:181469.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x),hAPP(c_Nat_OSuc,hAPP(v,x)))** -> .
% 299.83/300.51  181484[0:SSi:180932.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,tc_Nat_Onat)),w),x),y),hAPP(c_Nat_OSuc,hAPP(w,y)))*.
% 299.83/300.51  181486[0:SSi:180921.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x)),hAPP(v,x)))*.
% 299.83/300.51  181581[0:Rew:396.1,181580.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Polynomial_Opoly(u,v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  182398[0:MRR:182377.2,1844.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> .
% 299.83/300.51  182911[2:MRR:182848.3,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(v).
% 299.83/300.51  183125[0:MRR:183030.2,183030.3,51567.1,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))* -> .
% 299.83/300.51  183401[0:MRR:183360.0,150.0] ||  -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))**.
% 299.83/300.51  183763[0:SSi:183762.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.83/300.51  185678[2:SSi:185677.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  185733[2:SpR:12435.1,185104.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185734[2:SpR:12435.1,185105.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185735[2:SpR:13680.1,185106.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185736[2:SpR:13680.1,185107.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185781[2:SpR:13147.1,185108.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185800[2:SpR:12260.1,185109.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185810[2:SpR:13147.1,185111.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  185829[2:SpR:12260.1,185112.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186223[2:SpR:12435.1,185135.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186224[2:SpR:13680.1,185136.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186225[2:SpR:13147.1,185137.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186244[2:SpR:12260.1,185138.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186638[2:SpR:12435.1,185139.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186640[2:SpR:13680.1,185140.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186642[2:SpR:13147.1,185141.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186662[2:SpR:12260.1,185142.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.83/300.51  186829[2:SSi:186826.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))*.
% 299.83/300.51  186888[2:SpR:12435.1,185151.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186889[2:SpR:12435.1,185152.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186890[2:SpR:13680.1,185153.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186891[2:SpR:13680.1,185154.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186908[2:SpR:13147.1,185155.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186927[2:SpR:12260.1,185156.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186937[2:SpR:13147.1,185157.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  186956[2:SpR:12260.1,185158.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187207[2:SpR:12435.1,185172.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187208[2:SpR:13680.1,185173.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187209[2:SpR:13147.1,185174.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187228[2:SpR:12260.1,185175.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187484[2:SpR:12435.1,185176.1] || equal(skf57(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187486[2:SpR:13680.1,185177.1] || equal(skf47(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187488[2:SpR:13147.1,185178.1] || equal(skf48(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187508[2:SpR:12260.1,185179.1] || equal(skf60(u),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w) -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)*.
% 299.83/300.51  187587[0:Res:51668.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u).
% 299.83/300.51  187637[0:SSi:187609.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  187653[0:SpR:13147.1,187575.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))))*.
% 299.83/300.51  188099[0:MRR:188098.2,4736.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(v,w)) equal(skf68(v,u,w),w)**.
% 299.83/300.51  188233[0:SSi:188195.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  188672[0:MRR:188671.2,4736.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(v,w)) equal(skf67(v,u,w),w)**.
% 299.83/300.51  188732[0:SpR:13147.1,188149.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),v)*.
% 299.83/300.51  188754[0:SpR:13147.1,188150.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),v)*.
% 299.83/300.51  188966[0:SSi:188938.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  30147[0:Res:18522.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.83/300.51  5742[0:SpL:379.0,384.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(w,x,u),hAPP(c_Int_Onat,skf48(c_Nat_Onat_Onat__case(w,x,u)))))*.
% 299.83/300.51  10453[0:SpL:274.0,464.1] class_Orderings_Owellorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(w,v,x),c_Orderings_Oord__class_OLeast(u,c_Nat_Onat_Onat__case(w,v,x))))*.
% 299.83/300.51  10592[0:Res:311.1,464.1] class_Rings_Olinordered__semidom(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.83/300.51  16084[0:Res:510.1,464.1] class_Rings_Olinordered__ring(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.83/300.51  23538[0:Res:20707.1,464.1] class_Rings_Olinordered__ring__strict(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.83/300.51  43261[0:MRR:43241.3,428.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.83/300.51  47892[0:SpL:3757.0,3635.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(skf48(c_fequal(u)),v))** -> .
% 299.83/300.51  50332[0:SSi:50331.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Polynomial_Omonom(u,v,w))**.
% 299.83/300.51  67788[15:SSi:67740.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,u,c_Polynomial_Opcompose(t_a,v_cs____,v))),w),hAPP(c_Polynomial_Opoly(t_a,u),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.83/300.51  75669[0:Res:269.1,976.1] class_Orderings_Opreorder(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(w,x)),hAPP(w,x)))*.
% 299.83/300.51  76562[15:SSi:76508.0,122.0,107.1] ||  -> equal(hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v))),w),hAPP(c_Polynomial_Opoly(t_a,u),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.83/300.51  70003[0:SpL:13147.1,20269.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(skf48(c_fequal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  74836[0:SpL:13147.1,74833.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.51  12763[0:Rew:12519.0,8793.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.83/300.51  12701[0:Rew:12519.0,8505.1] || equal(hAPP(c_Nat_OSuc,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  25772[0:SpL:13147.1,12686.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  69978[0:SpL:13147.1,20180.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),w)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  70033[0:SpL:13147.1,20269.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))),w)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.83/300.51  68945[0:SpL:13147.1,64130.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.51  12690[0:Rew:12519.0,8509.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  40536[0:SSi:40512.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),skf48(c_fequal(u)))** -> equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.51  29565[0:SpR:10413.1,12611.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(skf48(c_fequal(skf50(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.51  10830[0:SpL:2169.1,441.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf35(c_Int_Onat)) equal(hAPP(c_Int_Onat,skf34(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Int_Onat)*.
% 299.83/300.51  75246[0:SSi:75226.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  25225[0:SpL:12260.1,9627.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.83/300.51  52831[0:Res:4868.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  17436[0:SpL:2673.1,3752.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),w)** -> equal(u,v)*.
% 299.83/300.51  17786[0:SpR:3754.1,2673.1] || equal(u,v)* equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),w)**.
% 299.83/300.51  38348[0:SSi:38339.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.83/300.51  46240[0:SSi:46188.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.51  46241[0:SSi:46183.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.83/300.51  8809[0:SpR:5744.1,474.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.51  12668[0:Rew:12519.0,8511.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,v))))),u))*.
% 299.83/300.51  12764[0:Rew:12519.0,8800.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  8580[0:SpL:5744.1,475.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  17597[0:SpL:13147.1,8193.0] || equal(skf48(c_fequal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Int_Onat))** -> .
% 299.83/300.51  17739[0:SpL:13680.1,8193.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf48(c_Int_Onat))** -> .
% 299.83/300.51  25670[8:SpL:13680.1,20601.0] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.51  74068[0:SpL:13147.1,73423.0] || equal(skf48(c_fequal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  74067[0:SpL:13147.1,73423.0] || equal(skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  74519[4:SpL:13147.1,28018.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.83/300.51  11150[0:Obv:11145.0] class_Int_Oring__char__0(u) || equal(v,w)* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))*.
% 299.83/300.51  11154[0:Obv:11141.0] class_Int_Oring__char__0(u) || equal(v,w)* equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  16382[0:Res:540.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.83/300.51  45321[0:SSi:45288.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  45382[0:SSi:45349.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  45992[0:SSi:45967.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.83/300.51  47242[0:SSi:47218.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(u,skf48(c_fequal(v)))*.
% 299.83/300.51  53347[0:Res:12637.0,287.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_fconj,v),u))),u)** hBOOL(v).
% 299.83/300.51  53350[0:Res:12637.0,230.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),u))),u)**.
% 299.83/300.51  53357[0:Res:12637.0,38531.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)),u))),u)**.
% 299.83/300.51  53412[0:Res:12637.0,2537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),u))),u)**.
% 299.83/300.51  64267[0:SSi:64240.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  64718[0:SSi:64707.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.83/300.51  47207[0:Res:378.1,12726.0] || equal(hAPP(c_Int_Onat,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(u,skf48(c_fequal(v)))*.
% 299.83/300.51  11523[0:Obv:11517.0] class_Int_Oring__char__0(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))* equal(c_Int_Oring__1__class_Oof__int(u,w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v)*.
% 299.83/300.51  71763[0:Res:536.1,24466.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  56879[0:Res:55281.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  41684[0:Res:254.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  69021[0:SpR:13147.1,64648.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  26879[0:SpL:12260.1,25511.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  26868[0:SpL:12435.1,25510.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  26508[0:SpL:13147.1,25509.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  26497[0:SpL:13680.1,25508.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  12614[0:Rew:12519.0,8901.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(skf48(c_fequal(skf64(u))),u)**.
% 299.83/300.51  12815[0:Rew:12519.0,8481.1] || equal(skf57(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.83/300.51  8483[0:Res:5870.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.51  25503[0:Res:1911.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.51  25501[0:Res:1911.1,1907.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(hAPP(c_Nat_OSuc,skf50(hAPP(c_Int_Onat,u))),hAPP(c_Int_Onat,u)).
% 299.83/300.51  45240[0:SSi:45220.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  45749[0:SSi:45731.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  53842[0:Res:825.2,336.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> .
% 299.83/300.51  53854[0:SSi:53832.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(skf48(c_fequal(skf64(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.83/300.51  63741[0:SSi:63729.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.83/300.51  77602[0:Res:40072.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> .
% 299.83/300.51  80532[2:Res:783.1,53848.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.83/300.51  79409[2:SpL:13147.1,51992.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  51212[0:Res:20513.0,12634.1] || hBOOL(hAPP(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.83/300.51  20508[0:Res:19575.0,12546.0] ||  -> equal(skf48(c_fequal(skf64(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 299.83/300.51  53213[0:Res:11853.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  66305[0:SpL:12260.1,38560.0] || equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  45748[0:SSi:45745.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.83/300.51  74669[0:SSi:74660.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.51  41633[0:Res:246.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.83/300.51  41699[0:Res:257.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(u),v)),skf60(u)))*.
% 299.83/300.51  41700[0:Res:256.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(u),v)),skf57(u)))*.
% 299.83/300.51  41701[0:Res:253.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(u),v)),skf48(u)))*.
% 299.83/300.51  41702[0:Res:252.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(u),v)),skf47(u)))*.
% 299.83/300.51  64266[0:SSi:64256.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  79626[2:SpL:13147.1,52049.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  51213[0:Res:3536.0,12634.1] || hBOOL(hAPP(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.83/300.51  8494[0:Res:5871.1,383.0] || equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.83/300.51  20750[0:Res:585.1,12546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) equal(skf48(c_fequal(skf64(u))),u).
% 299.83/300.51  45187[0:SSi:45167.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  45614[0:SSi:45580.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  51381[0:Res:12502.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  51383[0:Res:28557.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.83/300.51  51384[0:Res:28643.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.83/300.51  51385[0:Res:28644.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.83/300.51  51386[0:Res:28645.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.83/300.51  51419[4:MRR:51309.0,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,skf48(c_fequal(skf58(c_Int_Onat))))* hBOOL(hAPP(c_Int_Onat,u)).
% 299.83/300.51  57488[2:Res:52145.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.83/300.51  75774[0:Res:5870.1,784.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.83/300.51  80533[2:Res:785.1,53848.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.83/300.51  11496[0:Res:10083.1,4192.0] ||  -> equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.83/300.51  77051[0:MRR:77050.1,1981.0] || SkP2(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.83/300.51  73388[0:SSi:73367.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  74670[0:SSi:74644.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.51  71873[0:Rew:302.1,71725.1,27252.0,71725.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71867[4:MRR:71707.2,10316.1] class_Rings_Oring__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71688[0:SpL:442.1,24466.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71671[0:SpL:414.0,24466.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  71785[0:Res:525.1,24466.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  71784[0:Res:515.1,24466.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  71796[0:Res:525.2,24466.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  71599[0:SpL:10413.1,22595.0] || equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),skf64(v)),skf64(w))* equal(skf50(skf64(w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.51  71580[0:SpL:13147.1,22595.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(skf50(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf64(w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.83/300.51  68780[0:SpR:3724.0,283.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  55653[0:SpR:837.1,409.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  55654[0:SpR:837.1,411.1] class_Rings_Oring__1(u) class_Power_Opower(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  71965[0:SSi:71902.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  71966[0:SSi:71897.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  48194[0:Res:12638.1,259.1] hBOOL(hAPP(c_Int_Onat,u)) || hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_fNot,u))),u)**.
% 299.83/300.51  55490[0:Res:54466.1,735.0] || equal(skf49(c_fNot),u) -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.83/300.51  41623[0:Res:5746.1,735.0] || equal(u,v)* -> hBOOL(hAPP(c_fequal(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.83/300.51  41771[0:Res:269.1,735.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.51  41772[0:Res:18720.1,735.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.51  41863[4:MRR:41636.1,41857.0] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.51  21075[0:Res:10083.1,16218.0] ||  -> equal(skf47(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf47(u))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf47(u))))))*.
% 299.83/300.51  17362[0:Res:10083.1,12538.0] ||  -> equal(skf48(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf48(u))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf48(u))))))*.
% 299.83/300.51  17148[0:Res:10083.1,12380.0] ||  -> equal(skf57(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf57(u))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf57(u))))))*.
% 299.83/300.51  16303[0:Res:10083.1,12183.0] ||  -> equal(skf60(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf60(u))),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf60(u))))))*.
% 299.83/300.51  21690[0:SpR:3690.1,15552.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.83/300.51  23306[0:SpR:3690.1,19613.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(w,skf48(c_fequal(v)))*.
% 299.83/300.51  21662[0:SpR:3690.1,6936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf44(u,v)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  12766[4:Rew:12519.0,9178.1] || equal(skf57(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf48(c_fequal(v))))*.
% 299.83/300.51  10812[0:SpL:2117.1,441.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf35(c_Nat_OSuc)) equal(hAPP(c_Nat_OSuc,skf34(c_Nat_OSuc)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Nat_OSuc)*.
% 299.83/300.51  64408[2:SpL:63796.1,441.0] || equal(skf49(c_fNot),skf35(c_Int_Onat)) equal(hAPP(c_Int_Onat,skf34(c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Int_Onat)*.
% 299.83/300.51  9176[4:MRR:9163.1,8759.0] || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))*.
% 299.83/300.51  67011[0:Rew:274.0,66958.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  59863[0:Rew:3614.0,59777.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u)),v))*.
% 299.83/300.51  61250[0:Rew:2545.0,61160.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),v))*.
% 299.83/300.51  62879[4:Res:61109.1,892.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.83/300.51  63258[0:Res:891.2,21175.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> SkP1(v,u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))*.
% 299.83/300.51  69350[0:SpR:283.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.83/300.51  9567[0:SpR:2117.1,468.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.51  17570[0:SpL:13147.1,3733.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),u)* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  20226[0:SpL:9370.1,3710.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.83/300.51  40735[0:SpR:10146.1,24692.1] || equal(hAPP(c_Nat_OSuc,u),v) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(x,v,c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.83/300.51  59121[0:Res:301.0,915.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,x)),v))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  52231[2:SpL:52124.1,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(v)* hBOOL(hAPP(u,w))*.
% 299.83/300.51  69472[0:SpL:283.0,3665.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),v)** -> hBOOL(hAPP(u,w))*.
% 299.83/300.51  25751[0:Rew:276.0,25740.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  25752[0:Rew:276.0,25708.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  12398[0:SpR:9370.1,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  12461[0:SpR:9370.1,520.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.83/300.51  14536[0:SpR:9370.1,513.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  20644[0:SSi:20626.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(u)),v))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  21710[0:SpL:3690.1,6848.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  42265[0:MRR:42227.1,42009.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  59107[0:Res:468.1,915.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,w)),u))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  61071[4:Res:42157.0,863.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),v)* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(u,v)),v).
% 299.83/300.51  8995[0:SpR:491.1,5744.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(u,v)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.51  9095[0:SpR:5744.1,490.1] || equal(u,v)* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  9133[0:SpR:458.1,5744.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(u,v)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  9098[0:SpL:490.1,333.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w,v)*.
% 299.83/300.51  9005[0:SpL:491.1,334.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),u,v)*.
% 299.83/300.51  9156[0:SpL:458.1,334.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u,v)*.
% 299.83/300.51  9097[0:SpL:490.1,334.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w,v)*.
% 299.83/300.51  27845[0:Rew:2545.0,27778.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.83/300.51  27633[0:Rew:2545.0,27587.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.51  40741[0:SpR:10146.1,3736.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.83/300.51  40862[0:MRR:40798.2,218.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.83/300.51  52086[0:Res:520.1,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,u)),u).
% 299.83/300.51  52087[0:Res:533.1,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,u)),u).
% 299.83/300.51  52800[0:Res:10083.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),v))*.
% 299.83/300.51  52804[0:Res:1909.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.83/300.51  12653[0:Rew:12519.0,8359.2] class_Orderings_Olinorder(u) || equal(skf57(c_Orderings_Oord__class_Oless__eq(u,v)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf48(c_fequal(w))))*.
% 299.83/300.51  12652[0:Rew:12519.0,8466.2] class_Orderings_Oorder(u) || equal(skf57(c_Orderings_Oord__class_Oless__eq(u,v)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf48(c_fequal(w))))*.
% 299.83/300.51  8361[0:Res:1639.2,383.0] class_Orderings_Olinorder(u) || equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(u,v))),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.83/300.51  8468[0:Res:428.2,383.0] class_Orderings_Oorder(u) || equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(u,v))),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.83/300.51  17595[0:SpL:13147.1,8050.0] || equal(skf48(c_fequal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Int_Onat))** -> .
% 299.83/300.51  17729[0:SpL:13680.1,8050.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf48(c_Int_Onat))** -> .
% 299.83/300.51  25340[8:SpL:13680.1,20599.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.51  17596[0:SpL:13147.1,8118.0] || equal(skf48(c_fequal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Int_Onat))** -> .
% 299.83/300.51  17734[0:SpL:13680.1,8118.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf48(c_Int_Onat))** -> .
% 299.83/300.51  25347[8:SpL:13680.1,20600.0] || equal(skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.51  69234[0:SpL:13147.1,64811.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  66227[0:SpL:13147.1,38557.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  66289[0:SpL:13147.1,38558.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  64768[0:Res:64734.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf64(u)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf48(c_fequal(skf64(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.83/300.51  69183[0:SpR:13147.1,64780.0] || equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  27081[0:SpL:12260.1,26496.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  27070[0:SpL:12435.1,26476.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  27042[0:SpL:13147.1,26429.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  27031[0:SpL:13680.1,26402.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  64798[0:Res:64662.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.83/300.51  53177[0:Res:12135.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.83/300.51  53178[0:Res:12334.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.83/300.51  53179[0:Res:12491.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.83/300.51  53180[0:Res:14395.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.83/300.51  53193[0:Res:25467.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  53194[0:Res:26080.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  66882[0:MRR:66881.1,253.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> equal(hAPP(c_Nat_OSuc,skf56(c_Groups_Oone__class_Oone(tc_Int_Oint),u)),hAPP(c_Int_Onat,u)).
% 299.83/300.51  80749[2:SpL:13147.1,53863.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  26477[0:SpL:12260.1,25386.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  26467[0:SpL:12435.1,25385.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  26403[0:SpL:13147.1,25384.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  26393[0:SpL:13680.1,25383.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  78486[0:SpR:13147.1,78447.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  38687[0:SSi:38679.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.51  80528[2:SpL:13147.1,53625.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  29471[0:SpL:13147.1,28831.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  10828[0:SpL:2170.1,441.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),skf35(c_Int_Onat)) equal(hAPP(c_Int_Onat,skf34(c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Int_Onat)*.
% 299.83/300.51  77995[0:SpR:9223.1,40098.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.51  78054[0:SpR:9223.1,40111.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.83/300.51  78131[0:SpR:9223.1,40124.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.51  78398[0:SpR:9223.1,40162.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))*.
% 299.83/300.51  25253[0:SpL:12260.1,9628.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> .
% 299.83/300.51  52832[0:Res:4986.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.83/300.51  46242[0:SSi:46179.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))**.
% 299.83/300.51  67334[0:SpL:12260.1,38535.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.51  67386[0:SpL:12435.1,38536.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.51  67404[0:SpL:13147.1,38537.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.51  67442[0:SpL:13680.1,38538.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.83/300.51  53161[0:Res:12146.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.51  53162[0:Res:12345.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.51  53163[0:Res:12502.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.51  53164[0:Res:14413.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.83/300.51  53160[0:Res:8229.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  63076[0:MRR:63021.0,220.0] || SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.83/300.51  74060[0:SpL:13147.1,73422.0] || equal(skf48(c_fequal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  74059[0:SpL:13147.1,73422.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  14856[0:SpL:12545.1,3718.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Int_Onat__aux(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))*.
% 299.83/300.51  46245[0:Rew:5872.1,46217.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v))),skf48(c_fequal(v)))**.
% 299.83/300.51  46251[0:Rew:5875.1,46204.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(u)))),skf48(c_fequal(v)))**.
% 299.83/300.51  74534[2:SpL:13147.1,28032.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.83/300.51  79996[2:Res:52297.1,786.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.51  45612[0:Rew:414.0,45597.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.83/300.51  77278[0:Res:785.1,38551.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.83/300.51  77277[0:Res:783.1,38551.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.83/300.51  78745[0:SpR:1657.0,48874.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  75103[0:SpR:1657.0,29873.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  77566[0:Res:785.1,38559.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.83/300.51  77565[0:Res:783.1,38559.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.83/300.51  77644[0:Res:785.1,39778.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.83/300.51  77643[0:Res:783.1,39778.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.83/300.51  45991[0:SSi:45987.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.83/300.51  45593[0:Res:378.1,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.83/300.51  45613[0:SSi:45604.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.83/300.51  78779[0:SSi:78740.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  75130[0:SSi:75098.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.83/300.51  63074[0:MRR:63030.0,220.0] || SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.83/300.51  52835[0:Res:16418.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v)).
% 299.83/300.51  29959[0:SpL:12260.1,16542.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf57(u)))* -> .
% 299.83/300.51  53165[0:Res:28558.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.51  53169[0:Res:28678.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.51  53170[0:Res:28679.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.51  17235[0:SpL:12435.1,12569.0] || equal(skf57(u),v) hBOOL(hAPP(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(u,skf48(c_fequal(w))))*.
% 299.83/300.51  26957[0:SpL:12435.1,26107.0] || equal(skf57(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.83/300.51  17212[0:SpR:12435.1,16418.0] || equal(skf57(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))))*.
% 299.83/300.51  76201[0:SpL:12435.1,38539.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))))* -> .
% 299.83/300.51  76380[0:SpL:12435.1,38543.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))))* -> .
% 299.83/300.51  76401[0:SpL:12435.1,38544.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))))* -> .
% 299.83/300.51  76577[0:SpL:12435.1,38545.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77157[0:SpL:12435.1,38548.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77426[0:SpL:12435.1,38554.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  80357[0:SpL:12435.1,53229.1] || equal(skf57(u),v)* equal(skf57(u),skf46(c_Int_Onat))** hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.83/300.51  29793[0:SpL:13147.1,12854.1] || equal(skf48(c_fequal(u)),v)* equal(skf57(c_Int_Onat),u) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_Int_Onat))** -> .
% 299.83/300.51  76182[0:SpL:13147.1,38539.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  76346[0:SpL:12435.1,38542.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  76366[0:SpL:12260.1,38543.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  76395[0:SpL:13680.1,38544.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  76352[0:SpL:12435.1,38542.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))))* -> .
% 299.83/300.51  76583[0:SpL:12260.1,38545.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))))* -> .
% 299.83/300.51  77163[0:SpL:13680.1,38548.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))))* -> .
% 299.83/300.51  77432[0:SpL:13147.1,38554.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))))* -> .
% 299.83/300.51  53168[0:Res:28677.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.51  53171[0:Res:28716.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.51  53174[0:Res:28746.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.51  53190[0:Res:28643.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.83/300.51  74051[0:SpL:13147.1,73421.0] || equal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf47(c_Int_Onat))** -> .
% 299.83/300.51  74052[0:SpL:13147.1,73421.0] || equal(skf48(c_fequal(skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf47(c_Int_Onat))** -> .
% 299.83/300.51  66348[8:SpR:49088.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),u)),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  78792[8:SpR:10413.1,49128.0] || equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf64(u)),skf64(v))* -> SkP1(w,skf62(c_Int_Onat,skf47(c_Int_Onat)),skf50(skf64(v)))*.
% 299.83/300.51  69271[8:SpR:10413.1,66496.0] || equal(skf62(c_Int_Onat,skf47(c_Int_Onat)),skf64(u)) -> SkP1(v,skf50(skf64(u)),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.83/300.51  49202[8:SpL:48262.0,6391.0] || equal(u,c_Int_Onat__aux(skf47(c_Int_Onat),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf62(c_Int_Onat,skf47(c_Int_Onat)))**.
% 299.83/300.51  49206[8:SpL:48262.0,3710.0] || equal(u,c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))*.
% 299.83/300.51  74375[0:SpL:13147.1,27654.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** equal(u,skf60(c_Int_Onat)) -> .
% 299.83/300.51  52837[0:Res:16420.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v)).
% 299.83/300.51  30019[0:SpL:12260.1,16584.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf47(u)))* -> .
% 299.83/300.51  53167[0:Res:28560.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.51  53175[0:Res:28747.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.51  17713[0:SpL:13680.1,383.0] || equal(skf47(u),v) hBOOL(hAPP(u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> hBOOL(hAPP(u,w))*.
% 299.83/300.51  26988[0:SpL:13680.1,26109.0] || equal(skf47(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.83/300.51  17690[0:SpR:13680.1,16420.0] || equal(skf47(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))))*.
% 299.83/300.51  76325[0:SpL:13680.1,38541.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))))* -> .
% 299.83/300.51  77130[0:SpL:13680.1,38547.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77190[0:SpL:13680.1,38549.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))))* -> .
% 299.83/300.51  77514[0:SpL:13680.1,38556.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  80508[0:SpL:13680.1,53231.1] || equal(skf47(u),v)* equal(skf47(u),skf46(c_Int_Onat))** hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.83/300.51  63072[0:MRR:63032.0,220.0] || SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.83/300.51  74393[3:SpL:13147.1,27737.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** equal(u,skf47(c_fNot)) -> .
% 299.83/300.51  76306[0:SpL:13147.1,38541.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77176[0:SpL:12260.1,38549.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77233[0:SpL:13680.1,38550.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77136[0:SpL:12260.1,38547.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))))* -> .
% 299.83/300.51  77239[0:SpL:13680.1,38550.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))))* -> .
% 299.83/300.51  77520[0:SpL:13147.1,38556.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))))* -> .
% 299.83/300.51  53173[0:Res:28718.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.51  53176[0:Res:28748.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.51  53192[0:Res:28645.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.83/300.51  80171[0:SpL:13147.1,53228.1] || equal(skf48(u),v)* equal(skf48(u),skf46(c_Int_Onat))** hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.83/300.51  79972[2:SpL:13147.1,79842.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf46(c_Int_Onat))** -> .
% 299.83/300.51  79968[2:SpL:13147.1,79824.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf46(c_Int_Onat))** -> .
% 299.83/300.51  80475[0:SpL:12260.1,53230.1] || equal(skf60(u),v)* equal(skf60(u),skf46(c_Int_Onat))** hBOOL(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.83/300.51  79969[2:SpL:13147.1,79824.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.51  79973[2:SpL:13147.1,79842.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.83/300.51  79039[0:SpL:13147.1,51271.1] || equal(skf48(c_fequal(u)),v)* equal(skf46(c_Int_Onat),u) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_Int_Onat))** -> .
% 299.83/300.51  68775[0:SpL:13147.1,51031.0] || equal(skf48(c_fequal(skf46(c_fNot))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,v))*.
% 299.83/300.51  40987[0:SpL:699.2,333.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  40986[0:SpL:699.2,334.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),hAPP(c_Nat_OSuc,v))*.
% 299.83/300.51  72029[0:SpR:957.1,313.1] class_Rings_Oring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.83/300.51  72025[0:SpR:957.1,322.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))))*.
% 299.83/300.51  10222[0:SpR:10150.1,409.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),skf50(v)),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  10223[0:SpR:10150.1,411.1] class_Power_Opower(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),skf50(v)),c_Groups_Oone__class_Oone(u))**.
% 299.83/300.51  23524[0:SpL:20457.1,464.1] class_Rings_Oring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.51  24322[0:SpL:20457.1,570.1] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.83/300.51  27604[0:SpR:18862.1,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.83/300.51  27795[0:SpL:18862.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.83/300.51  47668[4:MRR:47667.1,8759.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))* -> hBOOL(hAPP(c_Int_Onat,w))*.
% 299.83/300.51  48299[4:MRR:48298.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.83/300.51  9691[0:SpL:443.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)*.
% 299.83/300.51  9797[0:SpL:444.1,334.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)*.
% 299.83/300.51  9692[0:SpL:443.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)*.
% 299.83/300.51  9798[0:SpL:444.1,333.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)*.
% 299.83/300.51  22832[0:SpR:556.1,526.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),v)))*.
% 299.83/300.51  29329[0:Res:290.1,12641.0] class_Rings_Ocomm__semiring__1(u) || equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Int_Onat,v)),w))*.
% 299.83/300.51  10534[0:Res:309.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Rings_Odvd__class_Odvd(u),w))))*.
% 299.83/300.51  43811[0:SpR:742.0,508.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z))*.
% 299.83/300.51  48288[4:MRR:48287.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v))),v)**.
% 299.83/300.51  48294[4:MRR:48293.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))),v)**.
% 299.83/300.51  48301[4:MRR:48300.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.83/300.51  54030[0:SpL:402.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.83/300.51  54033[0:SpL:409.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf49(hAPP(c_Power_Opower__class_Opower(u),v))))*.
% 299.83/300.51  43818[0:SpR:742.0,406.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  48954[0:SpR:815.1,351.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.83/300.51  49251[0:SpR:813.1,351.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.83/300.51  48297[4:MRR:48296.1,8759.0] class_Groups_Omonoid__add(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.83/300.51  48292[4:MRR:48291.1,8759.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))),v)**.
% 299.83/300.51  48290[4:MRR:48289.1,8759.0] class_Groups_Ocomm__monoid__mult(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))),v)**.
% 299.83/300.51  78184[0:SpR:1078.0,16085.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w)*.
% 299.83/300.51  63050[0:Res:7329.1,923.0] || SkP0(u,v) -> SkP1(w,hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.83/300.51  63048[0:Res:300.1,923.0] || equal(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v)) SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.83/300.51  63075[0:MRR:63029.0,220.0] || SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.83/300.51  63073[0:MRR:63031.0,220.0] || SkP0(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.83/300.51  79974[2:SpR:13147.1,52297.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  53166[0:Res:28559.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.51  53189[0:Res:28557.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.83/300.51  53172[0:Res:28717.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.51  53191[0:Res:28644.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.83/300.51  29205[0:SoR:6731.0,12641.2] || equal(u,skf48(c_fNot)) equal(v,skf48(c_fequal(u)))* hBOOL(hAPP(c_Int_Onat,hAPP(c_Int_Onat,v)))* -> .
% 299.83/300.51  53965[0:SpL:448.2,51176.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* hBOOL(v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.51  9200[0:SpR:5744.1,1637.1] || equal(u,v)* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.51  69718[0:Rew:210.0,69514.2] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(w).
% 299.83/300.51  20932[0:Res:579.1,18661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(c_Int_Onat__aux(u,skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  30169[0:SpR:13147.1,18644.0] || equal(skf48(c_fequal(skf64(u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)))*.
% 299.83/300.51  52309[2:Rew:1878.0,52234.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  9365[0:SpL:5744.1,1907.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> equal(hAPP(c_Nat_OSuc,skf50(u)),u)**.
% 299.83/300.51  61558[0:Rew:1878.0,61507.1,3614.0,61507.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(u)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.83/300.51  25550[0:Res:12816.1,12546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(skf48(c_fequal(skf64(skf48(c_fequal(u))))),skf48(c_fequal(u))).
% 299.83/300.51  54974[0:Rew:1878.0,54963.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u) -> .
% 299.83/300.51  59448[0:Rew:3614.0,59394.1,1878.0,59394.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(v)),u)))*.
% 299.83/300.51  61248[0:Rew:276.0,61198.1,2544.0,61198.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.83/300.51  63243[0:Res:1925.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))*.
% 299.83/300.51  79846[2:SpL:13147.1,79809.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.51  79971[2:SpL:13147.1,79827.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.83/300.51  26941[0:SpL:12260.1,26106.0] || equal(skf60(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.83/300.51  26963[0:SpL:13147.1,26108.0] || equal(skf48(u),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> .
% 299.83/300.51  79627[2:SpR:13147.1,52296.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.83/300.51  79845[2:SpL:13147.1,79809.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf48(c_fNot))** -> .
% 299.83/300.51  79970[2:SpL:13147.1,79827.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf48(c_fNot))** -> .
% 299.83/300.51  9387[0:Res:3537.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.51  52833[0:Res:5017.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.83/300.51  25264[0:SpL:12260.1,9629.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.83/300.51  28169[0:Rew:276.0,28096.1,2544.0,28096.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.83/300.51  67787[15:SSi:67747.0,107.0] class_Int_Oring__char__0(t_a) || equal(u,c_Polynomial_Opcompose(t_a,v_cs____,v))* -> equal(hAPP(c_Polynomial_Opoly(t_a,u),w),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.83/300.51  76561[15:SSi:76516.0,107.0] class_Int_Oring__char__0(t_a) || equal(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v))* -> equal(hAPP(c_Polynomial_Opoly(t_a,u),w),c_Groups_Ozero__class_Ozero(t_a))**.
% 299.83/300.51  55477[0:MRR:55465.2,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))* -> .
% 299.83/300.51  56841[0:Res:833.2,336.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)) -> .
% 299.83/300.51  61103[4:Res:42157.0,834.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.83/300.51  62884[4:Res:61109.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.83/300.51  62967[0:Res:833.2,9638.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> SkP1(w,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))*.
% 299.83/300.51  63267[0:Res:835.2,21175.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> SkP1(w,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))*.
% 299.83/300.51  54003[0:SpL:590.1,51176.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.83/300.51  28987[0:Rew:18124.0,28936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  77052[0:MRR:77017.0,226.1] || SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  42254[0:Rew:2544.0,42218.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)**.
% 299.83/300.51  9388[0:Res:7330.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.51  9203[0:SpL:1637.1,333.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w,v)*.
% 299.83/300.51  9202[0:SpL:1637.1,334.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w,v)*.
% 299.83/300.51  9281[0:SpL:5744.1,462.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.51  9328[0:SpL:5744.1,461.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.83/300.51  71964[0:SSi:71943.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  71963[0:SSi:71944.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.83/300.51  55562[0:SSi:55512.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.83/300.51  29387[8:Rew:2526.0,29356.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.83/300.51  17479[0:Rew:2544.0,17422.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),hAPP(c_Nat_OSuc,w))** -> equal(u,v)*.
% 299.83/300.51  69882[0:SpL:13147.1,20169.0] || equal(skf48(c_fequal(skf64(u))),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.83/300.51  42436[0:SpL:736.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v))) -> SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))*.
% 299.83/300.51  42437[0:SpL:736.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v))) -> SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))*.
% 299.83/300.51  43570[0:SpR:210.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_COMBI(v),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_COMBI(v),w,x))**.
% 299.83/300.51  71887[0:SpR:959.1,313.1] class_Rings_Osemiring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.83/300.51  42454[0:Obv:42429.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.83/300.51  66629[0:Rew:3622.0,66628.1] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)))**.
% 299.83/300.51  55388[0:MRR:55387.2,251.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))* -> .
% 299.83/300.51  53183[0:Res:26072.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.83/300.51  74873[0:SpL:13147.1,28830.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> .
% 299.83/300.51  77273[0:SpL:13147.1,38551.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> .
% 299.83/300.51  28254[0:SpL:13147.1,9639.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),u))* -> .
% 299.83/300.51  28316[0:SpL:13147.1,9640.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),u))* -> .
% 299.83/300.51  77337[0:SpL:13147.1,38553.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  77465[0:SpL:12260.1,38555.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  76222[0:SpL:13147.1,38540.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  76604[0:SpL:12260.1,38546.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.83/300.51  46860[0:Rew:2544.0,46824.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.83/300.51  42329[0:SpR:687.1,418.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))**.
% 299.83/300.51  42346[0:SpR:687.1,24274.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  76618[0:SpL:12260.1,38546.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))))* -> .
% 299.83/300.51  77479[0:SpL:13147.1,38555.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))))* -> .
% 299.83/300.51  41912[0:MRR:41825.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))))*.
% 299.83/300.51  10320[0:SpR:448.2,5744.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v)*.
% 299.83/300.51  10693[0:SpL:5744.1,467.1] class_Orderings_Olinorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* equal(v,x)* -> .
% 299.83/300.51  10391[0:SpL:5744.1,447.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v)* -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.83/300.51  10737[0:SpL:5744.1,469.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* equal(x,v)* -> .
% 299.83/300.51  11083[0:Obv:10972.0] class_Nat_Osemiring__char__0(u) || equal(v,w)* equal(x,w)* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,v))*.
% 299.83/300.51  11152[0:Obv:11143.0] class_Int_Oring__char__0(u) || equal(v,w)* equal(x,w)* -> equal(c_Int_Oring__1__class_Oof__int(u,x),c_Int_Oring__1__class_Oof__int(u,v))*.
% 299.83/300.51  11264[0:Obv:11257.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,w)* -> equal(c_Polynomial_Ocoeff(u,x),c_Polynomial_Ocoeff(u,v))*.
% 299.83/300.51  47071[0:SpL:9368.0,12673.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(skf64(w)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.83/300.51  47621[0:MRR:47570.1,243.0] || equal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,w)))*.
% 299.83/300.51  52784[0:Res:322.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  46632[0:SpR:3704.0,2523.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)))*.
% 299.83/300.51  46452[0:SpR:3703.0,2523.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  46555[0:SpL:3703.0,9752.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v))** -> .
% 299.83/300.51  46736[0:SpL:3704.0,9752.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf64(v)))** -> .
% 299.83/300.51  72402[0:SpR:955.1,23963.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> SkP1(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))*.
% 299.83/300.51  18468[0:SpR:3754.1,18152.0] || equal(u,v) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(v)),x),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,x)))*.
% 299.83/300.51  25735[0:SpR:9368.0,682.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),v))**.
% 299.83/300.51  40679[0:Res:740.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.83/300.51  52793[0:Res:348.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.83/300.51  42179[0:SpR:3709.1,22759.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))) SkP1(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v)),skf50(u))*.
% 299.83/300.51  69610[0:Res:144.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.83/300.51  68343[0:Rew:3749.0,68335.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.83/300.51  51103[4:MRR:50970.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.83/300.51  68342[0:Rew:3749.0,68334.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.83/300.51  69137[0:Rew:3753.0,69106.0,3749.0,69106.0,3753.0,69106.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)))),v))* -> .
% 299.83/300.51  17506[0:SpR:13147.1,3732.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)),u),w)**.
% 299.83/300.51  69138[0:Rew:3749.0,69129.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))),w))* -> .
% 299.83/300.51  25726[0:SpR:9368.0,682.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf50(skf64(v))))**.
% 299.83/300.51  68795[0:SpR:3724.0,24282.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))*.
% 299.83/300.51  9550[0:SpR:449.1,5744.1] class_Groups_Oab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.83/300.51  24053[0:SpL:506.1,557.1] class_Groups_Oab__group__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.83/300.51  61936[0:SpL:49304.1,570.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.83/300.51  71545[0:SpL:71409.1,570.1] class_RealVector_Oreal__normed__algebra(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.83/300.51  42344[0:SpR:687.1,609.2] class_Rings_Ocomm__ring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.83/300.51  11411[0:Obv:11410.0] class_Nat_Osemiring__char__0(u) || equal(v,w)* equal(c_Nat_Osemiring__1__class_Oof__nat(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,v))* -> equal(x,w)*.
% 299.83/300.51  11522[0:Obv:11518.0] class_Int_Oring__char__0(u) || equal(v,w)* equal(c_Int_Oring__1__class_Oof__int(u,x),c_Int_Oring__1__class_Oof__int(u,v))* -> equal(x,w)*.
% 299.83/300.51  11569[0:Obv:11568.0] class_Groups_Ozero(u) || equal(v,w)* equal(c_Polynomial_Ocoeff(u,x),c_Polynomial_Ocoeff(u,v))* -> equal(x,w)*.
% 299.83/300.51  40920[0:SSi:40908.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v).
% 299.83/300.51  25117[4:SpR:3690.1,24689.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf44(u,v),w)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,v)*.
% 299.83/300.51  21669[0:SpR:3690.1,3632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> equal(c_Int_Onat__aux(u,skf44(hAPP(c_Int_Onat,u),v)),v)**.
% 299.83/300.51  41219[0:MRR:41188.1,2829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(v)))* equal(u,skf50(v)).
% 299.83/300.51  38397[0:SSi:38388.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)),v))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),v).
% 299.83/300.51  42101[0:Rew:2544.0,42059.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf52(c_Groups_Oone__class_Oone(tc_Nat_Onat),u))),u)**.
% 299.83/300.51  42043[0:SpR:3705.1,22759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> SkP1(w,hAPP(c_Nat_OSuc,skf52(skf64(u),v)),skf50(v))*.
% 299.83/300.51  14904[0:SpL:9487.0,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v)).
% 299.83/300.51  20929[0:Res:579.1,2537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),hAPP(c_Int_Onat,u)))* -> equal(c_Int_Onat__aux(u,v),hAPP(c_Int_Onat,u)).
% 299.83/300.51  20925[0:Res:579.1,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),u))* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),u).
% 299.83/300.51  41915[0:MRR:41786.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.83/300.51  52828[0:Res:7330.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  52829[0:Res:3537.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  58768[0:Res:58532.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.83/300.51  62886[4:Res:61109.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.83/300.51  9610[0:SpL:5744.1,1621.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> .
% 299.83/300.51  56557[0:SSi:56548.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))* -> .
% 299.83/300.51  12401[0:SpR:9487.0,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  12396[0:SpR:2526.0,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  74552[0:SpL:13147.1,28283.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),u))* -> .
% 299.83/300.51  38566[0:SSi:38479.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),skf48(c_fequal(u))))* -> .
% 299.83/300.51  27623[0:Res:3721.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))* -> .
% 299.83/300.51  27417[0:Res:3681.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u))* -> .
% 299.83/300.51  52836[0:Res:16419.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v)).
% 299.83/300.51  52834[0:Res:16274.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v)).
% 299.83/300.51  52799[0:Res:9497.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),w)).
% 299.83/300.51  29343[0:Res:7329.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> SkP1(w,hAPP(c_Int_Onat,u),x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))*.
% 299.83/300.51  72391[0:SpR:955.1,348.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))*.
% 299.83/300.51  10178[0:SpL:6450.1,3718.0] || equal(u,skf48(c_fequal(v)))* equal(w,c_Int_Onat__aux(u,x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.51  61779[0:Res:300.1,3767.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.83/300.51  13337[0:SpL:12874.1,3718.0] || equal(u,v)* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.83/300.51  29341[0:Res:300.1,12641.0] || equal(u,hAPP(c_Int_Onat,v))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.83/300.51  61781[0:Res:7329.1,3767.0] ||  -> SkP1(u,c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w)).
% 299.83/300.51  14899[0:SpL:2526.0,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))).
% 299.83/300.51  47715[0:SpR:3757.0,3623.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))))*.
% 299.83/300.51  16602[0:SpR:12260.1,16274.0] || equal(skf60(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))))*.
% 299.83/300.51  17501[0:SpR:13147.1,16419.0] || equal(skf48(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))))*.
% 299.83/300.51  38689[0:SSi:38662.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),skf48(c_fequal(u))))* -> .
% 299.83/300.51  52114[0:MRR:52089.1,218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(c_Nat_OSuc,skf51(v,hAPP(c_Nat_OSuc,u))),hAPP(c_Nat_OSuc,u))**.
% 299.83/300.51  77012[0:Res:963.2,288.0] || SkP2(c_fconj,u,v) SkP1(c_fconj,u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(v).
% 299.83/300.51  77013[0:Res:963.2,287.0] || SkP2(c_fconj,u,v) SkP1(c_fconj,u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(u).
% 299.83/300.51  38398[0:SSi:38379.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,v)* hBOOL(hAPP(w,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,w)))* -> .
% 299.83/300.51  20228[0:SpL:15222.0,3710.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.83/300.51  38691[0:SSi:38641.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))* -> .
% 299.83/300.51  41404[0:MRR:41355.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u))* -> .
% 299.83/300.51  25862[0:SpR:9368.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf64(v)))*.
% 299.83/300.51  19502[0:SpR:276.0,1630.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v))*.
% 299.83/300.51  19753[0:SpL:276.0,1629.0] || hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.83/300.51  29335[0:Res:301.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> SkP1(w,hAPP(c_Int_Onat,u),x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.83/300.51  68069[0:Res:54158.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.83/300.51  9576[0:SpR:5744.1,468.1] || equal(hAPP(c_Nat_OSuc,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.83/300.51  61547[0:Res:301.0,3765.0] ||  -> SkP1(u,c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w)).
% 299.83/300.51  59236[4:Res:41857.1,914.0] || equal(u,hAPP(c_Nat_OSuc,skf55(v,w)))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  38688[0:SSi:38678.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf48(c_fequal(u))))* -> .
% 299.83/300.51  59235[0:Res:41849.0,914.0] || equal(u,hAPP(c_Nat_OSuc,skf55(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.83/300.51  59237[0:Res:59127.0,914.0] || equal(u,hAPP(c_Nat_OSuc,skf51(skf64(v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.83/300.51  42075[0:SpL:3705.1,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,skf52(u,v))))* -> .
% 299.83/300.51  9568[0:SpR:5744.1,468.1] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.83/300.51  38690[0:SSi:38649.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,u)))* -> .
% 299.83/300.51  59256[0:Res:301.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP1(w,x,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,x)))*.
% 299.83/300.51  43792[0:SpR:742.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y)),hAPP(c_Nat_OSuc,y)))*.
% 299.83/300.51  9573[0:SpR:2135.1,468.1] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.83/300.51  59233[0:Res:9493.0,914.0] || equal(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf64(v)))))*.
% 299.83/300.51  18148[0:SpR:15222.0,468.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))*.
% 299.83/300.51  75912[0:MRR:75890.0,1936.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w)),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.83/300.51  17509[0:SpR:13147.1,3634.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Nat_OSuc,w))))*.
% 299.83/300.51  59274[0:Rew:2526.0,59261.1] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.83/300.51  41916[0:MRR:41660.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),w)),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)))*.
% 299.83/300.51  27824[0:Res:468.1,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u))).
% 299.83/300.51  41940[4:MRR:41939.0,8759.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.83/300.51  59272[0:Rew:15222.0,59223.1,2526.0,59223.0] || equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,skf64(w)))))*.
% 299.83/300.51  29894[0:SpL:12260.1,16430.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf60(u)))* -> .
% 299.83/300.51  29996[0:SpL:12260.1,16570.0] || equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(u)))* -> .
% 299.83/300.51  58187[4:Rew:284.0,58180.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),v)),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.83/300.51  47785[0:SpR:3757.0,22567.0] ||  -> SkP1(u,c_Int_Onat__aux(skf48(c_fequal(v)),w),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),skf64(x)))))*.
% 299.83/300.51  9557[0:SpL:449.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.83/300.51  40910[0:SpL:741.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.83/300.51  9942[0:SpL:442.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP1(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.83/300.51  42361[0:SpL:687.1,333.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),v)*.
% 299.83/300.51  61839[0:SpR:742.0,61666.0] ||  -> SkP1(u,hAPP(v,skf64(w)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),skf64(w)))*.
% 299.83/300.51  10347[0:SpL:448.2,333.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(v,w)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),v,w)*.
% 299.83/300.51  42852[0:SpL:691.1,333.0] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w))) -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v,w)*.
% 299.83/300.51  42500[0:SpL:685.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP1(c_Polynomial_Osmult(u),v,w)*.
% 299.83/300.51  44143[0:SpL:742.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z))* -> SkP1(x,z,hAPP(y,z))*.
% 299.83/300.51  44129[0:SpL:742.0,333.0] || hBOOL(hAPP(hAPP(u,v),hAPP(w,v)))* -> SkP1(hAPP(c_COMBS(x,y,z),u),w,v)*.
% 299.83/300.51  62885[4:Res:61109.1,21751.0] || equal(skf44(u,v),w)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v,u)* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.83/300.51  78433[0:SpR:13147.1,42448.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.83/300.51  18425[0:SpL:3754.1,18191.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> .
% 299.83/300.51  40546[0:SSi:40476.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v)))),skf48(c_fequal(v))),skf48(c_fequal(u)))**.
% 299.83/300.51  58763[0:Res:58532.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.83/300.51  78438[0:SpR:13147.1,42448.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.83/300.51  69720[0:Rew:2544.0,69490.1,12609.0,69490.1] || hBOOL(hAPP(u,skf50(skf64(v))))* equal(skf64(v),hAPP(c_Nat_OSuc,w))* -> hBOOL(hAPP(u,w))*.
% 299.83/300.51  10346[0:SpL:448.2,334.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(v,w)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),v,w)*.
% 299.83/300.51  10821[0:SpL:5744.1,441.0] || equal(skf35(u),v) equal(hAPP(u,v),hAPP(u,skf34(u)))* -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,u)*.
% 299.83/300.51  40185[0:Res:40072.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,u))),v))*.
% 299.83/300.51  42499[0:SpL:685.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP2(c_Polynomial_Osmult(u),v,w)*.
% 299.83/300.51  9939[0:SpR:5744.1,442.1] class_Rings_Ocomm__semiring__0(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.83/300.51  23785[0:SpR:558.2,526.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Rings_Olinordered__semidom(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))*.
% 299.83/300.51  77553[0:SpL:13147.1,38559.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),u))* -> .
% 299.87/300.51  77631[0:SpL:13147.1,39778.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),u))* -> .
% 299.87/300.51  74685[0:SpL:13147.1,28828.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),u))* -> .
% 299.87/300.51  76241[0:SpL:12260.1,38540.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))))* -> .
% 299.87/300.51  77356[0:SpL:13147.1,38553.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))))* -> .
% 299.87/300.51  17521[0:SpR:13147.1,12570.1] class_Rings_Oring__1(u) || equal(skf48(c_fequal(v)),w) -> equal(c_Int_Oring__1__class_Oof__int(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v))*.
% 299.87/300.51  9785[0:SpR:444.1,5744.1] class_Groups_Ocomm__monoid__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),v),w)**.
% 299.87/300.51  9689[0:SpR:5744.1,443.1] class_Groups_Ocomm__monoid__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),w),w)**.
% 299.87/300.51  39188[0:SSi:39179.2,121.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(u,v))*.
% 299.87/300.51  56980[0:Rew:3622.0,56924.1] || equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,skf64(v))),w)* -> equal(c_Int_Onat__aux(u,skf64(v)),hAPP(c_Nat_OSuc,w))*.
% 299.87/300.51  62103[2:SpR:742.0,51947.1] || equal(hAPP(u,v),v) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),v))*.
% 299.87/300.51  43808[0:SpR:742.0,16882.1] || equal(hAPP(u,v),v) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Int_Oint)),u),v))*.
% 299.87/300.51  43797[0:SpR:742.0,325.1] || equal(hAPP(u,v),v) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),u),v))*.
% 299.87/300.51  77305[0:SpL:13147.1,38552.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.51  74804[0:SpL:13147.1,28829.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.51  77323[0:SpL:13147.1,38552.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(u))))* -> .
% 299.87/300.51  74822[0:SpL:13147.1,28829.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(u))))* -> .
% 299.87/300.51  27763[0:SpL:13147.1,7189.1] || equal(skf48(c_fequal(u)),v)* equal(u,skf48(c_fNot)) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_Int_Onat))** -> .
% 299.87/300.51  29313[0:Res:5747.1,12641.0] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.51  28400[0:SpL:13147.1,10011.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf50(skf64(u)))* -> .
% 299.87/300.51  74675[0:SpL:13147.1,28388.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))),v)* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf50(skf64(u)))* -> .
% 299.87/300.51  73400[0:SpL:13147.1,26176.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fequal(skf50(skf64(u)))))* -> .
% 299.87/300.51  53187[0:Res:26285.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.51  63149[0:Res:63096.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.51  63115[0:Res:63055.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.51  49559[0:Rew:393.1,49519.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),c_Groups_Ouminus__class_Ouminus(u)),y),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.51  54068[0:SpL:393.1,51176.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.51  61956[0:Obv:61919.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.51  49252[0:SpR:813.1,354.1] class_Groups_Oab__group__add(u) class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.51  49253[0:SpR:813.1,355.1] class_Groups_Oab__group__add(u) class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.51  54434[0:AED:109.0,54019.1] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.52  61942[0:SpL:49304.1,464.1] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.52  9556[0:SpL:449.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.52  40909[0:SpL:741.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.52  42360[0:SpL:687.1,334.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),v)*.
% 299.87/300.52  9941[0:SpL:442.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP2(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.87/300.52  42851[0:SpL:691.1,334.0] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w))) -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v,w)*.
% 299.87/300.52  44128[0:SpL:742.0,334.0] || hBOOL(hAPP(hAPP(u,v),hAPP(w,v)))* -> SkP2(hAPP(c_COMBS(x,y,z),u),w,v)*.
% 299.87/300.52  44142[0:SpL:742.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z))* -> SkP2(x,z,hAPP(y,z))*.
% 299.87/300.52  54034[0:SpL:411.1,51176.0] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf49(hAPP(c_Power_Opower__class_Opower(u),v))))*.
% 299.87/300.52  20464[0:Obv:20435.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))*.
% 299.87/300.52  72452[0:SpL:955.1,6666.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))** -> .
% 299.87/300.52  45122[0:SSi:45051.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))*.
% 299.87/300.52  43819[0:SpR:742.0,405.1] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  54031[0:SpL:401.1,51176.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.52  71421[0:Rew:313.1,71420.2] class_RealVector_Oreal__normed__algebra(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.52  71556[0:SpL:71409.1,464.1] class_RealVector_Oreal__normed__algebra(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.52  22463[0:SpR:595.1,526.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Oone__class_Oone(u))),v))*.
% 299.87/300.52  28361[0:Res:659.1,469.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.52  28362[0:Res:659.1,467.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.52  54004[0:SpL:816.1,51176.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.52  48955[0:SpR:815.1,354.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.52  48956[0:SpR:815.1,355.1] class_Rings_Ocomm__ring__1(u) class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.52  42338[0:SpR:687.1,554.1] class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  65880[0:Rew:687.1,65852.2] class_Rings_Ocomm__ring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.52  19985[0:SpR:553.1,510.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Olinordered__ring(tc_Polynomial_Opoly(u)) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.52  71148[0:Rew:554.1,71040.2] class_Rings_Oring(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  73165[0:SpL:1661.1,51176.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.52  73967[0:Res:18720.1,987.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),v))*.
% 299.87/300.52  74315[0:Res:18720.1,986.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))*.
% 299.87/300.52  73966[0:Res:269.1,987.1] class_Orderings_Opreorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),v))*.
% 299.87/300.52  74314[0:Res:269.1,986.1] class_Orderings_Opreorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))*.
% 299.87/300.52  24586[0:Res:526.1,583.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.52  54315[0:Res:525.2,51176.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf49(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.52  75670[0:Res:18720.1,976.1] class_Orderings_Olinorder(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(w,x)),hAPP(w,x)))*.
% 299.87/300.52  24671[0:Res:526.1,584.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.52  30195[0:Res:18644.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v))**.
% 299.87/300.52  75195[0:SSi:75190.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  74034[0:SSi:73979.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.52  43830[0:SpR:742.0,413.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(u)),y),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.52  43820[0:SpR:742.0,407.1] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  16874[0:Res:507.1,464.1] class_Rings_Odvd(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Rings_Odvd__class_Odvd(u),w))))*.
% 299.87/300.52  43810[0:SpR:742.0,507.1] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Otimes__class_Otimes(u),y)),y))*.
% 299.87/300.52  54032[0:SpL:403.1,51176.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.52  54438[0:AED:109.0,54077.1] class_Rings_Oring__no__zero__divisors(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.52  54040[0:SpL:319.0,51176.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,u,w),x),skf49(hAPP(c_Power_Opower_Opower(v,u,w),x))))*.
% 299.87/300.52  53211[0:Res:20513.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  53212[0:Res:3536.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  111885[18:MRR:9012.1,111803.0] || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))*.
% 299.87/300.52  111886[18:MRR:12765.1,111803.0] || equal(skf57(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf48(c_fequal(v))))*.
% 299.87/300.52  128669[0:Res:116130.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  144265[18:Res:111853.1,12635.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf57(c_Nat_OSuc)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Nat_OSuc,u)).
% 299.87/300.52  144524[18:Res:114155.1,12635.0] || equal(skf57(c_Nat_OSuc),skf49(c_Nat_OSuc)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Nat_OSuc,u)).
% 299.87/300.52  144865[18:SpL:13147.1,127232.0] || equal(skf48(c_fequal(skf46(c_Nat_OSuc))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.87/300.52  146317[0:Res:75079.1,786.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  146344[2:SpL:13147.1,79399.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.87/300.52  148997[23:Res:148527.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.87/300.52  149186[18:SpR:837.1,111847.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))))))*.
% 299.87/300.52  149978[2:SSi:149945.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  150340[0:Res:63058.1,383.0] || SkP0(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.52  151708[0:SpL:13147.1,150319.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> .
% 299.87/300.52  151802[6:SpL:13147.1,151735.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.87/300.52  152830[2:SpR:13147.1,63093.1] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))*.
% 299.87/300.52  152842[2:Res:63093.1,786.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.87/300.52  152969[2:SpL:13147.1,152950.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf48(c_fNot))** -> .
% 299.87/300.52  152970[2:SpL:13147.1,152950.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.87/300.52  152972[2:SpL:13147.1,152967.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u) equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))),skf46(c_Int_Onat))** -> .
% 299.87/300.52  152973[2:SpL:13147.1,152967.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  152980[0:SpR:13147.1,58677.0] || equal(skf48(c_fequal(skf64(u))),v)* -> equal(skf51(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  153771[2:Res:153698.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  154320[0:SpL:12435.1,58558.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Int_Onat))** equal(skf57(u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  154834[0:SpL:13147.1,73439.1] class_Orderings_Owellorder(u) || equal(skf48(c_fequal(c_Orderings_Oord__class_OLeast(u,c_Int_Onat))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.87/300.52  154840[0:SpL:13147.1,73413.0] || equal(skf48(c_fequal(u)),v)* equal(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),skf47(c_Int_Onat))** hBOOL(u) -> .
% 299.87/300.52  154854[0:SpL:13147.1,73413.0] || equal(skf48(c_fequal(skf48(c_fequal(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** hBOOL(u) -> .
% 299.87/300.52  154876[0:SpL:13147.1,73430.1] || equal(skf48(c_fequal(u)),v)* equal(skf49(c_Int_Onat),u) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.87/300.52  154949[4:SpL:13147.1,73461.1] || equal(skf48(c_fequal(u)),v)* equal(u,skf49(c_fNot)) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.87/300.52  154968[13:SpL:13147.1,73552.1] || equal(skf48(c_fequal(u)),v)* equal(skf47(c_Int_Onat),u) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.87/300.52  155244[4:SpL:13147.1,80146.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** equal(u,skf46(c_Int_Onat)) -> .
% 299.87/300.52  155258[0:SpL:12260.1,58581.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf49(c_Int_Onat))** equal(skf60(u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  155279[4:SpR:13147.1,75357.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.52  155765[4:SpL:13147.1,80164.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** equal(u,skf48(c_fNot)) -> .
% 299.87/300.52  157967[0:SpR:13147.1,75081.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.52  157972[0:SpR:13147.1,75081.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.52  158359[0:SpL:13147.1,63156.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.52  158375[0:SpL:13147.1,63156.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(u))))* -> .
% 299.87/300.52  158406[0:SpL:13147.1,63126.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> .
% 299.87/300.52  158414[0:Res:783.1,63126.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.87/300.52  158415[0:Res:785.1,63126.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))),u))* -> .
% 299.87/300.52  158672[18:SpL:13147.1,111856.1] || equal(skf48(c_fequal(u)),v)* equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** -> .
% 299.87/300.52  159071[18:SpR:10413.1,116507.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(u))*.
% 299.87/300.52  159230[18:SpR:10413.1,116508.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(u))*.
% 299.87/300.52  159545[18:SpL:13147.1,127223.0] || equal(skf48(c_fequal(skf50(skf64(u)))),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_Nat_OSuc))** -> hBOOL(skf64(u)).
% 299.87/300.52  160852[0:SSi:160746.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.52  161182[2:Res:783.1,153797.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  161183[2:Res:785.1,153797.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  161228[4:SpL:12435.1,154104.0] || equal(skf57(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** equal(skf57(u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  161229[8:SpL:13147.1,154867.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf48(c_fNot))** equal(u,skf47(c_Int_Onat)) -> .
% 299.87/300.52  161358[4:SpL:12260.1,155045.0] || equal(skf60(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** equal(skf60(u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  161434[4:SpL:13147.1,155131.0] || equal(skf48(u),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf47(c_Int_Onat))** equal(skf48(u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  161437[4:SpL:12874.1,155131.0] || equal(u,v)* equal(skf48(c_fequal(v)),skf47(c_Int_Onat))** equal(skf48(c_fequal(u)),skf46(c_Int_Onat))** -> .
% 299.87/300.52  163247[2:Res:161748.1,786.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  163300[2:SpL:13147.1,163272.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fNot))** -> .
% 299.87/300.52  163460[2:SpL:13147.1,163290.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf46(c_Int_Onat))** -> .
% 299.87/300.52  169978[0:SpR:10145.1,490.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  170041[0:Rew:273.0,170000.2] || equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u),v)**.
% 299.87/300.52  170422[23:MRR:170405.1,19248.0] || equal(skf68(c_Int_Onat,u,v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170426[8:MRR:170273.2,19248.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf48(c_fNot))** hBOOL(hAPP(c_Int_Onat,skf68(c_Int_Onat,w,x)))* -> .
% 299.87/300.52  170812[23:MRR:170793.1,19248.0] || equal(skf67(c_Int_Onat,u,v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170816[8:MRR:170661.2,19248.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf48(c_fNot))** hBOOL(hAPP(c_Int_Onat,skf67(c_Int_Onat,w,x)))* -> .
% 299.87/300.52  171129[0:SSi:171122.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.52  172152[0:SSi:172137.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.52  172154[0:SSi:172153.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.87/300.52  172412[0:SpR:1064.1,405.1] class_Power_Opower(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  172413[0:SpR:1064.1,406.1] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  172414[0:SpR:1064.1,407.1] class_Power_Opower(u) class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  172510[0:Rew:172509.0,27972.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  172512[0:Rew:172509.0,28130.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  172522[0:SSi:172417.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf64(v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  172524[0:Rew:219.0,172523.1] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.52  172616[0:SpR:1689.1,405.1] class_Groups_Omonoid__mult(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  172617[0:SpR:1689.1,406.1] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  172618[0:SpR:1689.1,407.1] class_Groups_Omonoid__mult(u) class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  173245[0:SSi:173244.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.52  174252[0:SSi:174237.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.52  174728[2:SSi:174677.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),u) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.52  176501[0:Res:176401.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x)).
% 299.87/300.52  176510[0:Res:176401.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))**.
% 299.87/300.52  176548[0:MRR:176539.0,251.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),x)),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)))*.
% 299.87/300.52  176694[0:SSi:176677.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  176695[0:SSi:176673.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.52  176696[2:SSi:176669.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  176697[0:SSi:176655.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  176698[0:SSi:176649.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  176699[0:SSi:176648.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  176700[4:SSi:176638.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.52  176701[0:SSi:176619.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 299.87/300.52  176702[0:SSi:176590.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  176703[0:SSi:176589.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  176704[0:SSi:176588.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  176705[0:SSi:176582.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.52  176706[0:SSi:176581.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  176707[0:SSi:176580.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  176710[0:SSi:176569.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.87/300.52  176711[0:SSi:176568.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.87/300.52  176712[0:SSi:176567.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.87/300.52  176713[0:SSi:176566.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.87/300.52  176714[0:SSi:176565.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.52  176715[2:SSi:176560.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  176773[0:Res:176536.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x)).
% 299.87/300.52  176782[0:Res:176536.0,1907.0] ||  -> equal(hAPP(c_Nat_OSuc,skf50(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))**.
% 299.87/300.52  176998[0:SSi:176982.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.87/300.52  176999[0:SSi:176981.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.87/300.52  177000[0:SSi:176980.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.87/300.52  177001[0:SSi:176979.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.87/300.52  177002[0:SSi:176978.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(u)),v)).
% 299.87/300.52  177003[0:SSi:176977.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(u)),v)).
% 299.87/300.52  177004[0:SSi:176976.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf47(u)),v)).
% 299.87/300.52  177005[0:SSi:176975.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf57(u)),v)).
% 299.87/300.52  177006[0:SSi:176974.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.52  177007[0:SSi:176973.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  177008[0:SSi:176972.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.87/300.52  177009[0:SSi:176971.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.87/300.52  177010[0:SSi:176970.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.87/300.52  177011[0:SSi:176969.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.87/300.52  177013[0:SSi:176946.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.52  177014[0:SSi:176942.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  177015[0:SSi:176932.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  177016[0:SSi:176931.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  177019[0:SSi:176910.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.52  177020[0:SSi:176901.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.52  177021[0:SSi:176894.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 299.87/300.52  177022[0:SSi:176883.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  177023[0:SSi:176863.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.52  177024[0:SSi:176858.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.87/300.52  177025[0:SSi:176857.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.87/300.52  177026[0:SSi:176856.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.87/300.52  177027[0:SSi:176855.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.87/300.52  177028[0:SSi:176854.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.87/300.52  177029[0:SSi:176853.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.87/300.52  177030[0:SSi:176852.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),v))*.
% 299.87/300.52  177031[0:SSi:176851.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.87/300.52  177032[0:SSi:176850.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),v))*.
% 299.87/300.52  177033[0:SSi:176849.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),v))*.
% 299.87/300.52  177034[0:SSi:176848.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.87/300.52  177035[0:SSi:176847.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),v))*.
% 299.87/300.52  177036[0:SSi:176837.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  177037[0:SSi:176835.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  177038[0:SSi:176833.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.52  177039[0:SSi:176826.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  177043[0:SSi:177042.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.52  177045[0:SSi:177044.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.52  69335[0:Rew:19349.0,69312.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))))*.
% 299.87/300.52  69342[2:MRR:69341.1,64525.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.87/300.52  69336[0:Rew:19349.0,69310.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.87/300.52  80005[2:SSi:79993.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u))*.
% 299.87/300.52  79666[2:SSi:79653.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u))*.
% 299.87/300.52  160851[2:SSi:160754.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),u))*.
% 299.87/300.52  69340[10:MRR:69339.0,38830.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,u))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)**.
% 299.87/300.52  146392[2:Res:64591.1,383.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.52  159736[2:Res:64525.1,383.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.52  159813[2:Res:146401.1,383.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.87/300.52  146366[2:Res:64591.1,784.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.52  172093[10:MRR:172088.0,38830.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  172094[10:MRR:172087.0,38830.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  29421[2:MRR:29229.1,4367.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.52  38959[10:Res:38833.1,12641.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.52  150152[2:Res:150018.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf49(c_fNot))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.52  146390[2:Res:64591.1,12569.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.87/300.52  159811[2:Res:146401.1,12569.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.87/300.52  128722[2:MRR:128384.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  71658[0:SpL:412.0,24466.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  49744[2:SSi:49721.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.87/300.52  58505[2:SSi:58487.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.87/300.52  10455[0:SpL:267.0,464.1] class_Orderings_Owellorder(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.52  177303[0:SSi:177285.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  177304[2:SSi:177277.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  177305[0:SSi:177264.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  177306[0:SSi:177258.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  177307[0:SSi:177257.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  177308[4:SSi:177247.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.52  177309[0:SSi:177241.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w)).
% 299.87/300.52  177312[0:SSi:177228.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 299.87/300.52  177313[0:SSi:177227.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.52  177314[0:SSi:177226.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.52  177315[0:SSi:177199.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  177316[0:SSi:177198.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  177317[0:SSi:177197.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  177318[0:SSi:177191.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.52  177319[0:SSi:177190.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  177320[0:SSi:177189.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  177321[0:SSi:177188.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.52  177322[0:SSi:177187.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.52  177323[0:SSi:177178.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.87/300.52  177324[0:SSi:177177.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.87/300.52  177325[0:SSi:177176.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.87/300.52  177326[0:SSi:177175.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.87/300.52  177327[0:SSi:177174.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.52  177328[2:SSi:177169.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  177729[0:SSi:177713.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(v)))*.
% 299.87/300.52  177730[2:SSi:177705.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  177731[0:SSi:177692.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  177732[0:SSi:177686.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,v)))))*.
% 299.87/300.52  177733[0:SSi:177685.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))))*.
% 299.87/300.52  177734[4:SSi:177675.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.52  177735[0:SSi:177656.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x)))*.
% 299.87/300.52  177736[0:SSi:177627.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(v)))*.
% 299.87/300.52  177737[0:SSi:177626.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(v)))*.
% 299.87/300.52  177738[0:SSi:177625.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(v)))*.
% 299.87/300.52  177739[0:SSi:177619.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.52  177740[0:SSi:177618.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.87/300.52  177741[0:SSi:177617.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  177744[0:SSi:177606.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  177745[0:SSi:177605.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  177746[0:SSi:177604.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  177747[0:SSi:177603.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  177748[0:SSi:177602.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  177749[2:SSi:177597.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  178022[0:SSi:177995.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(v)))*.
% 299.87/300.52  178023[0:SSi:177994.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178024[0:SSi:177993.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178025[0:SSi:177992.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178026[0:SSi:177991.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178027[0:SSi:177990.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(v)))))*.
% 299.87/300.52  178028[0:SSi:177989.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(v)))))*.
% 299.87/300.52  178029[0:SSi:177988.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(v)))))*.
% 299.87/300.52  178030[0:SSi:177987.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(v)))))*.
% 299.87/300.52  178031[0:SSi:177986.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178032[0:SSi:177985.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.52  178033[0:SSi:177984.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178034[0:SSi:177983.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178035[0:SSi:177982.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178036[0:SSi:177981.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178037[0:SSi:177980.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178038[2:SSi:177975.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  178039[4:SSi:177962.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.87/300.52  178040[0:SSi:177961.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.87/300.52  178041[0:SSi:177960.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.87/300.52  178042[0:SSi:177957.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178043[0:SSi:177956.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.52  178044[0:SSi:177946.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))))*.
% 299.87/300.52  178045[0:SSi:177945.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v)))))*.
% 299.87/300.52  178046[0:SSi:177944.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,v)))))*.
% 299.87/300.52  178047[0:SSi:177943.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))))*.
% 299.87/300.52  178048[0:SSi:177927.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(w,skf64(v))))*.
% 299.87/300.52  178049[0:SSi:177926.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.87/300.52  178050[0:SSi:177924.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.52  178051[0:SSi:177915.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  178052[0:SSi:177909.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x)))*.
% 299.87/300.52  178053[0:SSi:177908.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w,x)))*.
% 299.87/300.52  178054[0:SSi:177897.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)))*.
% 299.87/300.52  178055[0:SSi:177877.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.87/300.52  178056[0:SSi:177876.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.52  178057[0:SSi:177872.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178058[0:SSi:177871.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178059[0:SSi:177870.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178060[0:SSi:177869.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178061[0:SSi:177868.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178062[0:SSi:177867.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178063[0:SSi:177866.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178064[0:SSi:177865.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178065[0:SSi:177864.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178066[0:SSi:177863.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178067[0:SSi:177862.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178068[0:SSi:177861.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178069[0:SSi:177860.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(v)))*.
% 299.87/300.52  178070[0:SSi:177859.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(v)))*.
% 299.87/300.52  178071[0:SSi:177858.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(v)))*.
% 299.87/300.52  178072[0:SSi:177857.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178073[0:SSi:177856.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178074[0:SSi:177855.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178075[0:SSi:177854.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178076[0:SSi:177853.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178077[0:SSi:177851.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.52  178078[0:SSi:177850.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178079[0:SSi:177849.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178080[0:SSi:177847.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178081[0:SSi:177840.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.87/300.52  178082[0:SSi:177839.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.87/300.52  178083[2:SSi:177832.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  178290[0:SSi:178273.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(v)))*.
% 299.87/300.52  178291[2:SSi:178265.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  178292[0:SSi:178252.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178293[0:SSi:178246.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,v)))))*.
% 299.87/300.52  178294[0:SSi:178245.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))))*.
% 299.87/300.52  178295[4:SSi:178235.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.52  178296[0:SSi:178229.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,skf64(w))))*.
% 299.87/300.52  178297[0:SSi:178221.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.52  178298[0:SSi:178216.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x)))*.
% 299.87/300.52  178299[0:SSi:178215.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf64(w))),v)))*.
% 299.87/300.52  178300[0:SSi:178214.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))*.
% 299.87/300.52  178301[0:SSi:178187.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(v)))*.
% 299.87/300.52  178302[0:SSi:178186.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(v)))*.
% 299.87/300.52  178303[0:SSi:178185.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(v)))*.
% 299.87/300.52  178304[0:SSi:178179.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.52  178305[0:SSi:178178.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.87/300.52  178306[0:SSi:178177.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178307[0:SSi:178176.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178308[0:SSi:178175.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178309[0:SSi:178166.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178310[0:SSi:178165.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178311[0:SSi:178164.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178312[0:SSi:178163.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178313[0:SSi:178162.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.52  178314[2:SSi:178157.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  178572[0:SSi:178559.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178573[0:SSi:178558.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178574[0:SSi:178557.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178575[0:SSi:178556.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(w)))*.
% 299.87/300.52  178576[0:SSi:178555.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(v)))))*.
% 299.87/300.52  178577[0:SSi:178554.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(v)))))*.
% 299.87/300.52  178578[0:SSi:178553.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(v)))))*.
% 299.87/300.52  178579[0:SSi:178552.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(v)))))*.
% 299.87/300.52  178580[0:SSi:178551.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178581[0:SSi:178550.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.52  178582[0:SSi:178549.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178583[0:SSi:178548.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178584[0:SSi:178547.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178585[0:SSi:178546.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  178586[0:SSi:178526.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  178587[0:SSi:178525.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.52  178588[0:SSi:178521.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.52  178589[0:SSi:178511.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))))*.
% 299.87/300.52  178590[0:SSi:178510.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v)))))*.
% 299.87/300.52  178591[0:SSi:178492.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(w,skf64(v))))*.
% 299.87/300.52  178592[0:SSi:178491.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf64(v))))*.
% 299.87/300.52  178593[0:SSi:178489.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.52  178594[0:SSi:178480.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  178595[0:SSi:178473.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w,x)))*.
% 299.87/300.52  178596[0:SSi:178462.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)))*.
% 299.87/300.52  178597[0:SSi:178442.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v))))*.
% 299.87/300.52  178598[0:SSi:178437.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178599[0:SSi:178436.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178600[0:SSi:178435.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178601[0:SSi:178434.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178602[0:SSi:178433.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178603[0:SSi:178432.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178604[0:SSi:178431.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178605[0:SSi:178430.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178606[0:SSi:178429.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178607[0:SSi:178428.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(w)))*.
% 299.87/300.52  178608[0:SSi:178427.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(w)))*.
% 299.87/300.52  178609[0:SSi:178426.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(w)))*.
% 299.87/300.52  178610[0:SSi:178416.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.52  178611[0:SSi:178414.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178612[0:SSi:178412.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178613[0:SSi:178405.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)))))*.
% 299.87/300.52  179320[0:SSi:179171.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,hAPP(c_Nat_OSuc,x),w)),v))*.
% 299.87/300.52  179488[0:SpR:1075.0,405.1] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  179489[0:SpR:1075.0,406.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  179490[0:SpR:1075.0,407.1] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  179550[0:SpR:1075.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  179579[0:SpR:1075.0,413.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.52  180225[0:SSi:180224.1,180224.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onat__aux(skf48(c_fequal(v)),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.52  180314[0:MRR:180272.0,1881.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))).
% 299.87/300.52  180407[0:MRR:180364.0,1881.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))).
% 299.87/300.52  180663[0:Rew:180658.1,41431.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))* -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.52  182913[0:MRR:182847.3,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,w)*.
% 299.87/300.52  182914[0:MRR:182843.3,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(w,v)*.
% 299.87/300.52  182968[0:SpL:179303.0,51176.0] || hBOOL(u) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),skf49(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)))))*.
% 299.87/300.52  182972[0:SpL:179303.0,4192.0] || hBOOL(u) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)))))*.
% 299.87/300.52  182981[0:SSi:182955.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Opcompose(tc_Int_Oint,u,c_Polynomial_Omonom(tc_Int_Oint,v,w))),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),v))**.
% 299.87/300.52  183210[0:SSi:183141.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Opcompose(tc_Nat_Onat,u,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),w),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,u),v))**.
% 299.87/300.52  183491[0:SpL:179307.0,51176.0] || hBOOL(u) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),skf49(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)))))*.
% 299.87/300.52  183498[0:SSi:183478.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Opcompose(tc_Nat_Onat,u,c_Polynomial_Omonom(tc_Nat_Onat,v,w))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,u),v))**.
% 299.87/300.52  183603[2:SSi:183546.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,w,v)),u))*.
% 299.87/300.52  183764[4:SpR:10413.1,175006.1] || equal(u,skf64(v))* equal(skf64(v),c_Groups_Oone__class_Oone(tc_Nat_Onat))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.87/300.52  184933[0:SpL:13147.1,9761.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(skf64(w),u)* -> .
% 299.87/300.52  185059[4:SpR:13680.1,18988.1] || equal(skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),v)* equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))*.
% 299.87/300.52  185679[0:SSi:185676.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),w)*.
% 299.87/300.52  185680[0:SSi:185675.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> SkP0(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  186114[4:MRR:186113.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_COMBI(w),v,u)),u)**.
% 299.87/300.52  186529[4:MRR:186528.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_COMBI(w),v,u)),u)**.
% 299.87/300.52  186830[0:SSi:186828.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),w)*.
% 299.87/300.52  186832[0:SSi:186775.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))))*.
% 299.87/300.52  187589[0:Res:51668.1,786.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  188824[2:SpR:13147.1,188750.0] || equal(skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))))*.
% 299.87/300.52  188853[2:SpR:13147.1,188772.0] || equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))))*.
% 299.87/300.52  188918[0:Res:51669.1,786.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  22623[0:Rew:18347.0,22586.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v))))* -> equal(u,w).
% 299.87/300.52  25222[0:Rew:3753.0,25171.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)))* -> equal(v,w).
% 299.87/300.52  9558[0:SpL:449.1,384.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.52  41406[0:Rew:274.0,41308.1] || hBOOL(hAPP(c_Nat_Onat_Onat__case(u,v,w),x)) -> hBOOL(v) hBOOL(hAPP(w,skf55(x,c_Nat_Onat_Onat__case(u,v,w))))*.
% 299.87/300.52  47709[0:SpR:3757.0,3749.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.87/300.52  57976[0:MRR:57961.4,278.1] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))* -> .
% 299.87/300.52  48461[0:SpL:744.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP2(c_Polynomial_Osmult(u),w,v)*.
% 299.87/300.52  48462[0:SpL:744.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> SkP1(c_Polynomial_Osmult(u),w,v)*.
% 299.87/300.52  48314[0:Rew:3632.0,48147.2,3632.0,48147.0,284.0,48147.0] || hBOOL(c_Int_Onat__aux(u,v)) -> hBOOL(v) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),u))),u)**.
% 299.87/300.52  48055[0:SSi:48032.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* equal(skf48(c_fequal(skf56(u,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(v,u).
% 299.87/300.52  45234[0:Res:819.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  79508[0:SSi:79507.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  50165[0:SSi:50140.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)).
% 299.87/300.52  44974[0:SSi:44950.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v).
% 299.87/300.52  44978[0:SSi:44924.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.52  44152[0:SpL:742.0,1620.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.52  52139[2:Res:51858.0,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  52896[2:Res:51889.0,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  46340[0:SpR:12610.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.87/300.52  46405[0:SpL:12610.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)).
% 299.87/300.52  19468[4:MRR:19452.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.87/300.52  18582[0:Res:525.1,4191.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.87/300.52  18740[0:Res:515.1,4191.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.87/300.52  18621[0:Res:525.2,4191.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.52  38384[0:Res:536.1,656.2] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)))* hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> .
% 299.87/300.52  18962[0:SpL:2169.1,492.0] || equal(skf33(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(hAPP(u,skf33(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Int_Onat).
% 299.87/300.52  18922[0:SpL:2169.1,492.0] || equal(skf33(u,c_Int_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(hAPP(u,skf33(u,c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Onat,u).
% 299.87/300.52  12727[0:Rew:12519.0,10161.3] class_Rings_Oring__1(u) class_Int_Oring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** -> equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.52  12728[0:Rew:12519.0,10038.2] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  49746[0:SSi:49722.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.52  49887[0:SSi:49820.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.52  25230[0:Res:539.1,9627.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.52  12959[0:Rew:12519.0,12774.1,12519.0,12774.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(skf48(c_fequal(u)),skf48(c_fequal(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  20244[0:SpL:2673.1,3710.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(v,hAPP(c_Nat_OSuc,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.52  47353[0:Rew:5412.1,47290.3] class_Rings_Oring__1(u) ||  -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  47331[0:Res:808.1,429.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  51193[0:Res:378.1,12634.1] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.52  44809[0:SpR:12675.1,266.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(skf48(c_fequal(hAPP(c_Nat_OSuc,skf63(u)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)).
% 299.87/300.52  45241[0:SSi:45219.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  45750[0:SSi:45730.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),v))*.
% 299.87/300.52  54377[0:Res:12637.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(v,u))),u)** hBOOL(hAPP(v,skf49(v)))*.
% 299.87/300.52  67648[15:Rew:67570.0,67517.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(t_a,v_cs____),u))),u)**.
% 299.87/300.52  67799[0:SpL:268.0,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.52  49889[0:SSi:49805.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(v,u)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  50033[0:SSi:49946.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))* equal(v,u)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  51219[0:SSi:51204.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.52  51673[0:Rew:1878.0,51656.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  79415[0:SpR:267.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),v))*.
% 299.87/300.52  66726[0:Res:540.1,56885.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.52  55617[0:Res:55294.0,12726.0] || equal(hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_fequal(u)))*.
% 299.87/300.52  49103[8:SpR:48262.0,12816.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(c_Int_Onat))).
% 299.87/300.52  49462[8:SpR:49081.0,1911.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(c_Int_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.52  25505[0:Res:1911.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.87/300.52  11849[0:SpL:5744.1,537.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.87/300.52  11883[0:SpR:5744.1,536.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  51039[0:Res:536.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf46(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.52  79707[0:SpR:268.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.52  20723[0:Res:20513.0,12554.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 299.87/300.52  66308[0:Res:540.1,38560.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.52  55068[0:Res:54122.0,12726.0] || equal(hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> equal(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf48(c_fequal(u)))*.
% 299.87/300.52  12703[0:Rew:12519.0,11614.1] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> .
% 299.87/300.52  12689[0:Rew:12519.0,11620.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.87/300.52  12663[0:Rew:12519.0,12115.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 299.87/300.52  12680[0:Rew:12519.0,12094.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),u)**.
% 299.87/300.52  12687[0:Rew:12519.0,11623.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.87/300.52  53147[0:Res:5871.1,873.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  53218[0:SSi:53203.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.52  20751[0:Res:585.1,537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  28784[0:Res:474.1,636.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u).
% 299.87/300.52  52040[0:SSi:52025.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))**.
% 299.87/300.52  66864[0:Rew:66857.1,66762.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP1(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  66867[4:Rew:18149.0,66862.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,skf64(v)))*.
% 299.87/300.52  66871[0:MRR:66773.2,2891.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.52  66872[2:MRR:66770.2,2891.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf49(c_fNot))** -> .
% 299.87/300.52  79452[0:SpR:267.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  73323[15:SSi:73321.0,107.0] class_Int_Oring__char__0(t_a) || equal(u,v_cs____) hBOOL(c_Groups_Ozero__class_Ozero(t_a)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(t_a,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  71871[4:MRR:71713.2,10316.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Polynomial_Osmult(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  71868[4:MRR:71721.2,10316.1] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  71869[4:MRR:71652.2,10316.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  58612[0:Obv:58607.0] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Polynomial_Omonom(u,x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(v,x).
% 299.87/300.52  41821[0:Res:3587.0,735.0] ||  -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,skf48(c_fNot)),u)),hAPP(c_Int_Onat,skf48(c_fNot))))*.
% 299.87/300.52  55500[0:Res:54466.1,805.1] || equal(skf62(c_fNot,u),skf49(c_fNot))** hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  47660[4:MRR:47659.1,8759.0] || equal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.52  52229[2:SpR:52124.1,742.0] ||  -> hBOOL(u) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Int_Onat),u),hAPP(hAPP(y,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.52  52228[2:SpR:52124.1,742.0] ||  -> hBOOL(u) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Int_Onat),y),u),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,u)))**.
% 299.87/300.52  42340[0:SpR:687.1,490.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  42106[0:Rew:3622.0,42047.2] || equal(skf52(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> equal(hAPP(c_Nat_OSuc,u),v).
% 299.87/300.52  41876[4:MRR:41535.1,41857.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.52  41782[0:Res:290.1,735.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.52  41654[0:Res:40072.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.52  41894[4:MRR:41515.1,41857.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.52  41895[4:MRR:41514.1,41857.0] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.52  61960[4:MRR:61948.1,41857.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.52  71572[4:MRR:71563.1,41857.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.52  71788[0:Res:576.2,24466.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  42981[0:Obv:42976.0] class_Groups_Ozero(u) ||  -> equal(c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.52  53902[2:Res:53804.0,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  53697[2:Res:53622.0,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  41712[0:Res:5747.1,735.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.52  18942[0:SpL:2117.1,492.0] || equal(skf33(c_Nat_OSuc,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(u,skf33(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Nat_OSuc).
% 299.87/300.52  18902[0:SpL:2117.1,492.0] || equal(skf33(u,c_Nat_OSuc),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(u,skf33(u,c_Nat_OSuc)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Nat_OSuc,u).
% 299.87/300.52  64426[2:SpL:63796.1,492.0] || equal(skf33(c_Int_Onat,u),skf49(c_fNot)) equal(hAPP(u,skf33(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Int_Onat).
% 299.87/300.52  64409[2:SpL:63796.1,492.0] || equal(skf33(u,c_Int_Onat),skf49(c_fNot)) equal(hAPP(u,skf33(u,c_Int_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Onat,u).
% 299.87/300.52  17507[0:SpR:13147.1,3736.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  43696[0:Rew:43692.1,43550.2] class_Rings_Osemiring__1(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,w,v,hAPP(w,x)),hAPP(w,x))**.
% 299.87/300.52  41754[0:Res:2523.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(v,u),w)),c_Int_Onat__aux(v,u)))*.
% 299.87/300.52  41796[0:Res:300.1,735.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.52  53527[0:Rew:219.0,53488.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  69407[0:Rew:18124.0,69364.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.52  80415[0:SpR:284.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)))*.
% 299.87/300.52  12392[0:SpR:2117.1,533.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.52  14895[0:SpL:2117.1,529.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.87/300.52  12949[0:Rew:12519.0,12659.0] || equal(skf48(c_fequal(u)),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_fequal(w)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  29213[0:SpL:8586.1,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(v,skf48(c_fequal(w)))* -> SkP0(v,x)* hBOOL(hAPP(u,w))*.
% 299.87/300.52  29211[0:SpL:18711.1,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(v,skf48(c_fequal(w)))* -> SkP0(x,v)* hBOOL(hAPP(u,w))*.
% 299.87/300.52  69473[0:SpL:307.0,3665.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(u,w))*.
% 299.87/300.52  42267[0:MRR:42232.1,42009.0] || equal(skf50(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u)** -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  63584[0:MRR:63564.0,42009.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u)*.
% 299.87/300.52  26363[0:SpL:3632.0,3742.0] || equal(c_Int_Onat__aux(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  40816[0:SpL:10146.1,3718.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(v)),u))*.
% 299.87/300.52  42226[0:SpL:3709.1,3742.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  54526[0:SSi:54500.1,54500.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u)),v),skf50(u))**.
% 299.87/300.52  61070[4:Res:42157.0,915.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,w)),u))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  63311[0:SpL:313.1,925.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v)** -> equal(v,u) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  12945[0:Rew:12519.0,12650.1] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(w))),skf48(c_fequal(v)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.52  12948[0:Rew:12519.0,12658.0] || equal(skf48(c_fequal(u)),v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),skf48(c_fequal(w)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  12950[0:Rew:12519.0,12660.1] || equal(u,v)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))),skf48(c_fequal(w)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.52  17572[0:SpL:13147.1,3735.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  26367[0:SpL:18347.0,3742.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  40740[0:SpR:10146.1,3732.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf50(u)),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.52  40752[0:SpR:10146.1,18862.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(v,skf48(c_fequal(skf50(u))))* equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),hAPP(c_Nat_OSuc,w))**.
% 299.87/300.52  40848[0:Rew:2545.0,40790.2] || equal(skf50(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.52  42104[0:Rew:2545.0,42053.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> equal(hAPP(c_Nat_OSuc,skf52(u,v)),v).
% 299.87/300.52  43831[0:SpR:742.0,490.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),y),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  52113[0:MRR:52073.1,2829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(skf50(v),u)),u)**.
% 299.87/300.52  55655[0:SpR:837.1,491.1] class_Rings_Oring__1(tc_Nat_Onat) || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.52  56974[0:Rew:18346.1,56919.2] || equal(skf44(skf50(u),u),v)* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),u)),u)**.
% 299.87/300.52  59103[0:Res:533.1,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  63466[0:SpL:313.1,924.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u)** -> equal(u,v) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  71762[0:Res:540.1,24466.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  25378[0:Res:1640.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.87/300.52  72480[0:SSi:72414.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.52  46325[0:SpR:12609.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  46390[0:SpL:12609.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.52  19467[4:MRR:19453.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.87/300.52  18583[0:Res:525.1,4192.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.87/300.52  18741[0:Res:515.1,4192.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(c_Orderings_Oord__class_Oless__eq(u,v))))*.
% 299.87/300.52  18622[0:Res:525.2,4192.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.52  69196[0:Res:64780.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.52  48029[0:SpR:12636.1,16179.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(skf56(c_Groups_Oone__class_Oone(tc_Int_Oint),u)))),u))*.
% 299.87/300.52  75040[0:SpR:12636.1,29832.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf56(c_Groups_Oone__class_Oone(tc_Int_Oint),u)))),u))*.
% 299.87/300.52  79492[0:Res:1076.1,786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  69241[0:Res:540.1,64811.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))* equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.52  66292[0:Res:540.1,38558.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))* equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.52  49463[8:SpR:49081.0,1640.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf47(c_Int_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.52  49479[8:SpL:49081.0,1641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf47(c_Int_Onat))).
% 299.87/300.52  75112[0:Res:29873.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  45188[0:SSi:45168.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  45615[0:SSi:45581.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  45383[0:SSi:45350.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  45322[0:SSi:45289.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  45993[0:SSi:45968.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  18960[0:SpL:2170.1,492.0] || equal(skf33(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(u,skf33(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Int_Onat).
% 299.87/300.52  18920[0:SpL:2170.1,492.0] || equal(skf33(u,c_Int_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(u,skf33(u,c_Int_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Onat,u).
% 299.87/300.52  18101[0:SpL:3754.1,14860.1] || equal(u,v)* equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),w)** -> .
% 299.87/300.52  72474[0:SSi:72432.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))**.
% 299.87/300.52  25258[0:Res:539.1,9628.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.52  12951[0:Rew:12519.0,12671.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(v))),skf48(c_fequal(hAPP(c_Nat_OSuc,v))))**.
% 299.87/300.52  17430[0:SpL:12545.1,3752.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(u,v),c_Int_Onat__aux(skf48(c_fequal(w)),v))* -> equal(skf64(u),w).
% 299.87/300.52  17881[0:SpR:12545.1,3754.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf64(u),v) -> equal(c_Int_Onat__aux(u,w),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.52  40549[0:Rew:14817.1,40491.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(v))),u),skf48(c_fequal(c_Int_Onat__aux(u,v))))**.
% 299.87/300.52  53184[0:Res:16181.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  45315[0:Res:785.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  45376[0:Res:783.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  72300[0:SSi:72258.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))**.
% 299.87/300.52  12956[0:Rew:12519.0,12693.1] || hBOOL(hAPP(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u)),v)*.
% 299.87/300.52  12955[0:Rew:12519.0,12692.1] || hBOOL(hAPP(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u)),v)*.
% 299.87/300.52  45282[0:SpR:414.0,785.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))*.
% 299.87/300.52  45343[0:SpR:414.0,783.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))*.
% 299.87/300.52  45961[0:SpL:414.0,784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  12954[0:Rew:12519.0,12691.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))*.
% 299.87/300.52  45161[0:SpR:414.0,788.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))*.
% 299.87/300.52  45574[0:SpL:414.0,786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  75065[0:Res:29832.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  14866[0:Rew:14823.1,12665.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.87/300.52  76404[0:Res:540.1,38544.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf57(v)))* equal(skf57(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))).
% 299.87/300.52  76383[0:Res:540.1,38543.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf57(v)))* equal(skf57(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))).
% 299.87/300.52  76204[0:Res:540.1,38539.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf57(v)))* equal(skf57(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))).
% 299.87/300.52  72478[0:SSi:72418.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),skf57(v))))**.
% 299.87/300.52  72305[0:SSi:72244.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf57(v))))**.
% 299.87/300.52  72140[0:SSi:72065.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf57(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf57(v))))**.
% 299.87/300.52  19466[4:MRR:19456.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf57(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.87/300.52  18584[0:Res:525.1,12380.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf57(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  18742[0:Res:515.1,12380.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf57(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  18623[0:Res:525.2,12380.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf57(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.52  26844[0:SpR:12552.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf57(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf57(v)))*.
% 299.87/300.52  72125[0:SSi:72083.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u)),v)))**.
% 299.87/300.52  72298[0:SSi:72262.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u)),v)))**.
% 299.87/300.52  72472[0:SSi:72436.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf57(u)),v)))**.
% 299.87/300.52  26549[0:SpR:12552.0,12933.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,skf57(u))),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),v))**.
% 299.87/300.52  29964[0:Res:539.1,16542.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf57(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),skf57(u)).
% 299.87/300.52  29957[0:SpL:12435.1,16542.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.52  27000[0:SpL:12552.0,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf57(u))),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  26645[0:SpL:12552.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf57(u))),v))*.
% 299.87/300.52  77448[0:Res:540.1,38554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf48(v)))* equal(skf48(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))).
% 299.87/300.52  77166[0:Res:540.1,38548.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf47(v)))* equal(skf47(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))).
% 299.87/300.52  76594[0:Res:540.1,38545.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf60(v)))* equal(skf60(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))).
% 299.87/300.52  76355[0:Res:540.1,38542.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),skf57(v)))* equal(skf57(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))).
% 299.87/300.52  63066[8:MRR:63012.1,2053.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(c_Int_Onat))).
% 299.87/300.52  63211[8:MRR:63168.1,2053.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(c_Int_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.52  49469[8:SpL:49081.0,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(c_Int_Onat))).
% 299.87/300.52  49115[8:SpR:48262.0,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),v)))*.
% 299.87/300.52  49119[8:SpR:48262.0,12935.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf47(c_Int_Onat)))*.
% 299.87/300.52  49207[8:SpL:48262.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf47(c_Int_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))).
% 299.87/300.52  49114[8:SpR:48262.0,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),v)))*.
% 299.87/300.52  49120[8:SpR:48262.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf47(c_Int_Onat)))*.
% 299.87/300.52  49208[8:SpL:48262.0,12937.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf47(c_Int_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))).
% 299.87/300.52  49101[8:SpR:48262.0,12782.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(c_Int_Onat)),u)).
% 299.87/300.52  49192[8:SpL:48262.0,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(c_Int_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(c_Int_Onat,u)))*.
% 299.87/300.52  49100[8:SpR:48262.0,12935.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_fequal(u)))).
% 299.87/300.52  49191[8:SpL:48262.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_fequal(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))*.
% 299.87/300.52  66351[8:SpR:49088.0,468.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.52  63065[8:MRR:63028.1,19250.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),u)).
% 299.87/300.52  63210[8:MRR:63184.1,19250.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(c_Int_Onat,u)))*.
% 299.87/300.52  49096[8:SpR:48262.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_fequal(u)))).
% 299.87/300.52  49189[8:SpL:48262.0,12937.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(c_Int_Onat)),skf48(c_fequal(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))*.
% 299.87/300.52  49470[8:SpL:49081.0,12641.0] || hBOOL(hAPP(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))* equal(skf48(c_fequal(v)),skf47(c_Int_Onat)) -> hBOOL(hAPP(u,v))*.
% 299.87/300.52  49180[8:SpL:48262.0,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),v))*.
% 299.87/300.52  49178[8:SpL:48262.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),v))*.
% 299.87/300.52  72122[0:SSi:72085.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u)),v)))**.
% 299.87/300.52  72295[0:SSi:72264.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u)),v)))**.
% 299.87/300.52  72470[0:SSi:72438.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf47(u)),v)))**.
% 299.87/300.52  26551[0:SpR:12664.0,12933.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,skf47(u))),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),v))**.
% 299.87/300.52  30024[0:Res:539.1,16584.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf47(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),skf47(u)).
% 299.87/300.52  77536[0:Res:540.1,38556.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf48(v)))* equal(skf48(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))).
% 299.87/300.52  77147[0:Res:540.1,38547.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf60(v)))* equal(skf60(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))).
% 299.87/300.52  30017[0:SpL:13680.1,16584.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.52  27002[0:SpL:12664.0,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf47(u))),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  26647[0:SpL:12664.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf47(u))),v))*.
% 299.87/300.52  77242[0:Res:540.1,38550.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),skf47(v)))* equal(skf47(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))).
% 299.87/300.52  77193[0:Res:540.1,38549.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf47(v)))* equal(skf47(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))).
% 299.87/300.52  76328[0:Res:540.1,38541.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf47(v)))* equal(skf47(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))).
% 299.87/300.52  72476[0:SSi:72420.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),skf47(v))))**.
% 299.87/300.52  72302[0:SSi:72246.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf47(v))))**.
% 299.87/300.52  72137[0:SSi:72067.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf47(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf47(v))))**.
% 299.87/300.52  21135[4:MRR:21003.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf47(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.87/300.52  21079[0:Res:525.1,16218.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf47(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  21078[0:Res:515.1,16218.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf47(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  21084[0:Res:525.2,16218.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf47(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.52  26846[0:SpR:12664.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf47(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf47(v)))*.
% 299.87/300.52  50971[0:SpL:503.2,50956.0] class_Groups_Ogroup__add(u) || equal(skf46(c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.52  12397[0:SpR:9385.1,533.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.52  29726[0:Rew:2545.0,29534.2] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.52  72484[0:Rew:19349.0,72483.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))**.
% 299.87/300.52  42021[0:SpR:3705.1,18862.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(u)))* equal(hAPP(c_Nat_OSuc,skf52(u,v)),v).
% 299.87/300.52  10670[0:Rew:443.1,10500.3] class_Groups_Ocomm__monoid__add(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))*.
% 299.87/300.52  5046[0:SpL:352.1,384.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.52  54035[0:SpL:444.1,51176.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v))))*.
% 299.87/300.52  16908[0:SpR:5744.1,509.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.52  16939[0:SpR:5744.1,509.1] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x))*.
% 299.87/300.52  17027[0:SpR:5744.1,508.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.52  17053[0:SpR:5744.1,508.1] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))*.
% 299.87/300.52  5108[0:SpL:364.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  3532[0:SpL:369.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),v)))))*.
% 299.87/300.52  5209[0:SpL:350.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.52  58355[0:SpL:351.1,895.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.87/300.52  42648[0:SpL:565.1,684.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))** -> equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)).
% 299.87/300.52  58086[0:SpL:350.1,896.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.52  58220[0:SpL:350.1,897.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.52  24056[0:SpL:556.1,557.1] class_Rings_Ocomm__semiring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.52  4810[0:SpL:353.1,384.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.52  4951[0:SpL:361.1,384.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  3533[0:SpL:372.1,384.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),v)))))*.
% 299.87/300.52  4927[0:SpL:362.1,384.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  62467[0:MRR:62466.0,41862.0] || hBOOL(hAPP(c_Nat_OSuc,skf44(u,v)))* -> hBOOL(hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.52  42039[4:SpR:3705.1,22963.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(skf64(u),v)),skf50(v))*.
% 299.87/300.52  26035[0:Rew:1878.0,26013.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.52  26036[0:Rew:1878.0,26015.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  63036[4:Res:61109.1,923.0] || SkP0(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.52  63277[0:Res:922.2,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP0(v,u) -> SkP1(w,hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))*.
% 299.87/300.52  78186[2:SpR:1078.0,57789.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))*.
% 299.87/300.52  79994[2:Res:52297.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  12736[0:Rew:12519.0,11505.3] class_Rings_Oring__1(u) class_Int_Oring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Int_Oring__1__class_Oof__int(u,w))* -> equal(skf48(c_fequal(v)),w).
% 299.87/300.52  12737[0:Rew:12519.0,11130.2] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(skf48(c_fequal(v)),w) -> equal(c_Int_Oring__1__class_Oof__int(u,w),c_Nat_Osemiring__1__class_Oof__nat(u,v))*.
% 299.87/300.52  69622[0:Res:211.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_fNot,w)).
% 299.87/300.52  29299[0:Res:6728.1,12641.0] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf48(c_fNot))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_fNot,v))*.
% 299.87/300.52  30064[0:Res:539.1,18201.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))* equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  25270[0:Res:539.1,9629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  69731[4:MRR:69529.0,8759.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.52  77213[0:Res:346.0,1928.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf66(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf65(u,v))).
% 299.87/300.52  53748[0:MRR:53731.2,390.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.52  53749[0:MRR:53730.2,390.1] class_Orderings_Oorder(u) class_Rings_Olinordered__semidom(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.52  75886[0:Res:18522.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.52  76116[0:Res:18644.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.52  58985[0:Res:1901.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),u)** -> .
% 299.87/300.52  77228[0:Res:54125.0,1928.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.52  79891[0:SpR:272.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.52  80055[0:SpR:273.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.52  21743[0:Rew:21719.1,21255.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(hAPP(c_Nat_OSuc,skf44(u,v)),v).
% 299.87/300.52  55476[0:MRR:55460.3,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u).
% 299.87/300.52  56315[0:Res:375.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.52  56316[0:Res:1608.1,836.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.52  56468[0:Res:1608.0,834.1] class_Rings_Olinordered__idom(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.87/300.52  77642[0:Res:540.1,39778.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))))* equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u).
% 299.87/300.52  80612[0:SpL:273.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.52  26843[0:SpR:12551.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(v)))*.
% 299.87/300.52  26845[0:SpR:12553.0,12938.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf60(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf60(v)))*.
% 299.87/300.52  44147[0:SpL:742.0,461.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(y,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  42363[0:SpL:687.1,461.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.52  78913[0:SpL:1059.0,462.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  20260[0:Rew:2544.0,20231.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) equal(v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.52  43832[0:SpR:742.0,1637.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(tc_Nat_Onat)),y),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.52  43557[0:SpR:9368.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,skf50(skf64(w)),hAPP(v,x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,skf64(w),x))**.
% 299.87/300.52  61582[4:SpL:2872.0,43048.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf55(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)))* -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.52  8369[0:SpR:2872.0,322.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  9609[0:SpL:2872.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.87/300.52  26999[0:SpL:12551.0,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(u))),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  26644[0:SpL:12551.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(u))),v))*.
% 299.87/300.52  27001[0:SpL:12553.0,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf60(u))),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  26646[0:SpL:12553.0,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf60(u))),v))*.
% 299.87/300.52  54593[0:MRR:54575.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u).
% 299.87/300.52  54594[0:MRR:54574.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v))*.
% 299.87/300.52  48286[4:MRR:48285.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),u).
% 299.87/300.52  77495[0:Res:540.1,38555.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf48(v)))* equal(skf48(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))).
% 299.87/300.52  76629[0:Res:540.1,38546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),skf60(v)))* equal(skf60(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))).
% 299.87/300.52  77372[0:Res:540.1,38553.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf48(v)))* equal(skf48(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))).
% 299.87/300.52  12952[0:Rew:12519.0,12674.0] || equal(skf48(c_fequal(u)),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,w))))),v))*.
% 299.87/300.52  76252[0:Res:540.1,38540.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),skf60(v)))* equal(skf60(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))).
% 299.87/300.52  12946[0:Rew:12519.0,12656.1] || equal(hAPP(c_Nat_OSuc,u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))),skf48(c_fequal(w))))*.
% 299.87/300.52  29358[0:Res:6866.1,12641.0] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf48(c_Int_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Int_Onat,v))*.
% 299.87/300.52  56973[0:Rew:18347.0,56916.1] || equal(skf44(skf50(skf64(u)),skf64(u)),v)* -> equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u))),skf64(u))**.
% 299.87/300.52  64859[0:Res:937.2,419.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  16674[0:SpR:503.2,5744.1] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(v,w)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  24398[0:Obv:24382.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v)*.
% 299.87/300.52  17796[0:SpR:3754.1,3754.1] || equal(u,v)* equal(w,u)* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),x),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.87/300.52  47083[0:SpL:414.0,12673.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.52  16373[0:SpR:5744.1,540.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* equal(u,w).
% 299.87/300.52  47096[0:SSi:47090.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),skf48(c_fequal(hAPP(c_Nat_OSuc,w))))),u))*.
% 299.87/300.52  72126[0:SSi:72082.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u)),v)))**.
% 299.87/300.52  72123[0:SSi:72084.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u)),v)))**.
% 299.87/300.52  46926[0:SpR:3749.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.87/300.52  46929[0:SpR:3632.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(v,u)))*.
% 299.87/300.52  29303[0:Res:325.1,12641.0] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))*.
% 299.87/300.52  46828[0:SpL:3749.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(u)),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)).
% 299.87/300.52  46831[0:SpL:3632.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(v,u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  57927[0:Res:54125.0,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))),u))* -> equal(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)),u).
% 299.87/300.52  47415[0:Res:346.0,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf66(u,v)),skf65(u,v)))* -> equal(skf66(u,v),skf65(u,v)).
% 299.87/300.52  79849[0:SpR:272.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))*.
% 299.87/300.52  80654[0:SpL:273.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.52  72580[0:SpR:1659.1,61666.0] class_Rings_Oring(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(w)),v)))*.
% 299.87/300.52  72855[0:SpR:999.1,61666.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(w)),v)))*.
% 299.87/300.52  80013[0:SpR:273.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),v))*.
% 299.87/300.52  62781[0:SpL:9368.0,929.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),w))* -> equal(v,w).
% 299.87/300.52  46731[0:SpL:3704.0,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> .
% 299.87/300.52  46550[0:SpL:3703.0,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> .
% 299.87/300.52  46485[0:SpR:3703.0,22759.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),w),skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  71060[0:SpR:1660.1,61619.0] class_Rings_Oring(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(w))))*.
% 299.87/300.52  71330[0:SpR:997.1,61619.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(w))))*.
% 299.87/300.52  46665[0:SpR:3704.0,22759.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(w)),skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf64(w))))*.
% 299.87/300.52  62394[0:SpR:21745.1,23963.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Nat_OSuc,skf44(u,v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.52  40698[0:SSi:40686.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,v))) hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> .
% 299.87/300.52  40699[0:SSi:40671.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> .
% 299.87/300.52  45641[0:SpR:3709.1,22821.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))) SkP1(w,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v))),u)*.
% 299.87/300.52  42175[4:SpR:3709.1,22963.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v)),skf50(u))*.
% 299.87/300.52  42174[0:SpR:3709.1,11296.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v))),u))*.
% 299.87/300.52  69612[0:Res:150.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.52  69468[0:SoR:3610.0,3665.2] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),skf48(c_fNot))) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> .
% 299.87/300.52  68346[0:Rew:3749.0,68310.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w))))*.
% 299.87/300.52  68345[0:Rew:3749.0,68309.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.52  68344[0:Rew:3753.0,68305.0,3753.0,68305.0,3749.0,68305.0,3753.0,68305.0,3753.0,68305.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.52  41205[0:Res:437.0,733.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),u).
% 299.87/300.52  42151[0:SpR:3709.1,24692.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) SkP1(x,w,u)*.
% 299.87/300.52  68326[0:Res:300.1,3680.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.52  69613[0:Res:149.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.52  80334[0:Rew:276.0,80286.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.52  69139[0:Rew:3749.0,69111.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))))),v))* -> .
% 299.87/300.52  42008[0:SpR:3705.1,3732.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),hAPP(c_Nat_OSuc,skf52(u,v)))**.
% 299.87/300.52  69402[0:Rew:3749.0,69384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))))),v))* -> .
% 299.87/300.52  69140[0:Rew:3749.0,69112.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))))),v))* -> .
% 299.87/300.52  68566[0:Res:301.0,3696.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),v))*.
% 299.87/300.52  29317[0:Res:348.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),w)),v))*.
% 299.87/300.52  68328[0:Res:7329.1,3680.0] ||  -> SkP1(u,v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.52  19465[4:MRR:19457.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.87/300.52  19469[4:MRR:19450.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))*.
% 299.87/300.52  14540[0:SpR:5744.1,513.1] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.52  16480[0:SpR:2135.1,539.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* equal(w,u).
% 299.87/300.52  16484[0:SpR:5744.1,539.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(u,w).
% 299.87/300.52  17421[0:SpL:12874.1,3752.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(x)),w))* -> equal(u,x)*.
% 299.87/300.52  15320[0:SpR:496.1,5744.1] class_Rings_Ocomm__semiring__0(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),w),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  75427[0:Obv:75414.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.52  16790[0:SpL:5744.1,502.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.52  22297[4:SpR:3754.1,18146.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  61545[4:Res:42157.0,3765.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.52  62422[0:SpL:21745.1,6666.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,skf44(u,v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))) -> .
% 299.87/300.52  16498[0:Res:539.0,529.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.87/300.52  28267[0:Res:539.1,9639.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))* equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u).
% 299.87/300.52  29899[0:Res:539.1,16430.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),skf60(u)).
% 299.87/300.52  30001[0:Res:539.1,16570.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))))* equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),skf48(u)).
% 299.87/300.52  14598[0:SpL:5744.1,518.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.52  68032[0:Res:9493.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf64(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v))*.
% 299.87/300.52  12456[0:SpR:5744.1,520.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.52  14531[0:SpR:5744.1,513.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.52  68037[0:Res:59127.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf51(skf64(u),w))),v))*.
% 299.87/300.52  68035[0:Res:41849.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf55(skf64(u),w))),v))*.
% 299.87/300.52  45637[0:SpR:3705.1,22821.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> SkP1(w,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf52(skf64(u),v))),v)*.
% 299.87/300.52  42038[0:SpR:3705.1,11296.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf52(skf64(u),v))),v))*.
% 299.87/300.52  19808[0:SpL:9487.0,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),hAPP(c_Nat_OSuc,u)))* -> .
% 299.87/300.52  48397[0:MRR:48358.2,2829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)) -> equal(v,skf50(u)).
% 299.87/300.52  28989[0:SSi:28973.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)))* -> equal(v,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)).
% 299.87/300.52  28133[0:Res:513.1,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w))).
% 299.87/300.52  28113[0:SpL:18347.0,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)).
% 299.87/300.52  27975[0:Res:513.1,3739.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w))).
% 299.87/300.52  52795[0:Res:375.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.52  27821[0:Res:533.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w))).
% 299.87/300.52  42229[0:SpL:3709.1,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.52  12400[0:SpR:2135.1,533.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  12404[0:SpR:5744.1,533.1] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.52  42168[0:SpR:3709.1,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.87/300.52  12393[0:SpR:5744.1,533.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.52  18163[0:SpR:15222.0,513.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  18156[0:SpR:15222.0,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  59883[0:MRR:59832.0,28139.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.87/300.52  63251[0:Res:3763.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(u)),x),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.87/300.52  27603[0:SpR:18347.0,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.87/300.52  61812[0:MRR:61713.0,3740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf44(u,w))).
% 299.87/300.52  56914[0:Res:375.1,21751.0] || equal(skf44(u,v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.52  75022[0:Res:300.1,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.87/300.52  14896[0:SpL:5744.1,529.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.87/300.52  14907[0:SpL:5744.1,529.0] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.87/300.52  62899[4:Res:61109.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.52  75025[0:Res:7329.1,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.52  14903[0:SpL:2135.1,529.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.87/300.52  41407[0:MRR:41376.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))))*.
% 299.87/300.52  43839[0:SpR:742.0,575.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),u)))*.
% 299.87/300.52  59886[0:MRR:59885.0,27829.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf52(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.87/300.52  18215[0:SpL:15222.0,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))).
% 299.87/300.52  42004[0:SpR:3705.1,24692.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,skf52(u,v)),w)* -> SkP1(x,w,v)*.
% 299.87/300.52  59434[0:Res:3759.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(w)),u))* -> .
% 299.87/300.52  61399[0:Res:3764.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> .
% 299.87/300.52  62951[0:Res:3764.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(u)),x),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.87/300.52  56915[0:Res:1608.1,21751.0] || equal(skf44(u,v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.52  27678[0:SpR:18347.0,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.87/300.52  29876[0:SpL:12260.1,16430.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.52  29970[0:SpL:13147.1,16570.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> .
% 299.87/300.52  14607[0:SpL:5744.1,518.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))*.
% 299.87/300.52  68036[4:Res:41857.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf55(u,w))),v))*.
% 299.87/300.52  68059[0:Res:301.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP1(w,u,x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,x)),v))*.
% 299.87/300.52  12467[0:SpR:5744.1,520.1] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.52  61126[4:Res:42157.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.52  42169[0:SpR:3709.1,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.52  14605[0:SpL:2135.1,518.0] || equal(hAPP(c_Nat_OSuc,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.52  61577[0:MRR:61482.0,40847.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf44(u,w))).
% 299.87/300.52  18202[0:SpL:15222.0,518.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)).
% 299.87/300.52  68072[0:Rew:2526.0,68022.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w))*.
% 299.87/300.52  27794[0:SpL:18347.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.52  59267[0:Res:55206.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v))))))*.
% 299.87/300.52  62470[0:MRR:62469.1,1881.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf52(u,v))),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.52  12463[0:SpR:2135.1,520.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  27820[0:Res:520.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w))).
% 299.87/300.52  61108[4:Res:42157.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  59234[0:Res:3092.0,914.0] || equal(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  27712[0:Res:3722.1,518.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.52  47778[0:SpR:3757.0,9514.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.87/300.52  47852[0:SpL:3757.0,3629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),c_Int_Onat__aux(skf48(c_fequal(u)),v)))* -> .
% 299.87/300.52  27518[0:Res:3682.1,518.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.52  59269[0:Rew:15222.0,59218.1] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf64(w)))))*.
% 299.87/300.52  59469[0:MRR:59409.0,28140.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.87/300.52  68360[0:MRR:68359.0,27982.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.87/300.52  18155[0:SpR:15222.0,520.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  78095[0:SSi:78051.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  49849[0:SpL:752.2,333.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Oplus__class_Oplus(u),w,v)*.
% 299.87/300.52  15619[0:SpL:506.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),w,v)*.
% 299.87/300.52  15721[0:SpL:505.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),w,v)*.
% 299.87/300.52  15328[0:SpL:496.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP1(hAPP(c_Polynomial_Osmult(u),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.52  18999[0:SpL:551.0,333.0] || hBOOL(hAPP(hAPP(hAPP(u,v),w),x)) -> SkP1(hAPP(c_COMBC(y,z,x1,u),w),v,x)*.
% 299.87/300.52  48730[0:SpL:747.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))*.
% 299.87/300.52  48993[0:SpL:815.1,333.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  49291[0:SpL:813.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  49540[0:SpL:812.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  49368[0:SpL:814.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)) -> SkP1(c_Groups_Ominus__class_Ominus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  65630[0:Res:939.2,333.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  18317[0:SpL:495.1,333.0] class_Groups_Ozero(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),skf36(u,v),w)*.
% 299.87/300.52  64862[0:Res:937.2,333.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP1(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.87/300.52  16719[0:SpL:503.2,333.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),v,w)*.
% 299.87/300.52  15936[0:SpL:550.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.87/300.52  49991[0:SpL:748.2,333.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Groups_Oplus__class_Oplus(u),v,w)*.
% 299.87/300.52  48858[0:SpL:746.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(u),w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.52  48045[0:SpL:12636.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(c_fequal(skf56(u,v))))*.
% 299.87/300.52  47779[4:SpR:3757.0,22551.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.87/300.52  14999[0:SpR:12874.1,3753.0] || equal(hAPP(c_Nat_OSuc,u),v) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  56965[0:Res:55204.0,21751.0] || equal(skf44(u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))**.
% 299.87/300.52  56964[0:Res:54123.0,21751.0] || equal(skf44(u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))**.
% 299.87/300.52  17794[0:SpR:3754.1,6450.1] || equal(u,v)* equal(w,skf48(c_fequal(u)))* -> equal(c_Int_Onat__aux(w,x),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.87/300.52  40550[0:Rew:40534.0,40485.1] || equal(u,v) -> equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),w))),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(w)),v))))*.
% 299.87/300.52  25163[0:SpL:3754.1,17473.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> equal(w,x).
% 299.87/300.52  22620[0:Rew:18347.0,22568.1] || equal(u,v) -> equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(w))),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))*.
% 299.87/300.52  56928[4:Res:43025.1,21751.0] || equal(skf44(skf55(u,v),u),w)* -> hBOOL(u) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf55(u,v)),u)**.
% 299.87/300.52  24729[0:SpR:13412.1,3754.1] || equal(u,v) equal(w,x) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 299.87/300.52  17444[0:SpL:3753.0,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(w)),v))* -> equal(hAPP(c_Nat_OSuc,u),w).
% 299.87/300.52  15932[0:SpR:5744.1,550.1] class_Groups_Ogroup__add(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))**.
% 299.87/300.52  29744[0:SpR:615.2,507.1] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Odvd(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.52  16838[0:SpR:5744.1,507.1] class_Rings_Odvd(u) || equal(v,w) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.52  16869[0:SpR:5744.1,507.1] class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x))*.
% 299.87/300.52  18883[0:SpR:5744.1,541.2] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,v)* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),w))*.
% 299.87/300.52  58087[0:SpL:352.1,896.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.52  58088[0:SpL:353.1,896.1] class_Groups_Omonoid__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.52  58221[0:SpL:352.1,897.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.52  58222[0:SpL:353.1,897.1] class_Groups_Omonoid__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),v)** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.52  16718[0:SpL:503.2,334.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),v,w)*.
% 299.87/300.52  15596[0:SpR:506.1,5744.1] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  15697[0:SpR:505.1,5744.1] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  50030[0:Obv:49964.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.87/300.52  58356[0:SpL:354.1,895.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.87/300.52  58357[0:SpL:355.1,895.1] class_Groups_Omonoid__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.87/300.52  70629[0:Rew:70628.1,50042.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),w)** -> equal(c_Groups_Ozero__class_Ozero(u),v).
% 299.87/300.52  49848[0:SpL:752.2,334.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Oplus__class_Oplus(u),w,v)*.
% 299.87/300.52  49990[0:SpL:748.2,334.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,w)*.
% 299.87/300.52  15616[0:SpR:5744.1,506.1] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  16048[0:SpR:5744.1,510.1] class_Rings_Olinordered__ring(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.52  16078[0:SpR:5744.1,510.1] class_Rings_Olinordered__ring(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.52  18723[0:SpR:5744.1,515.1] class_Orderings_Olinorder(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.52  16144[0:SpR:5744.1,526.1] class_Rings_Olinordered__semidom(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.52  18563[0:SpR:5744.1,525.1] class_Orderings_Olinorder(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.52  16161[0:SpR:5744.1,526.1] class_Rings_Olinordered__semidom(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.52  16147[0:SpR:5744.1,526.1] class_Rings_Olinordered__semidom(u) || equal(c_Groups_Oone__class_Oone(u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.52  18569[0:SpR:5744.1,525.2] class_Orderings_Olinorder(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.52  18963[0:SpL:285.0,492.0] || equal(hAPP(u,skf33(hAPP(c_COMBK(v,w),x),u)),x)** -> equal(u,hAPP(c_COMBK(v,w),x)).
% 299.87/300.52  18923[0:SpL:285.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_COMBK(v,w),x))),x)** -> equal(hAPP(c_COMBK(v,w),x),u).
% 299.87/300.52  15288[0:SpR:5744.1,499.1] class_Groups_Ozero(u) || equal(c_Groups_Ozero__class_Ozero(u),v) -> equal(c_Polynomial_OAbs__poly(u,hAPP(c_COMBK(u,tc_Nat_Onat),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  39189[0:SSi:39186.0,107.0] class_Int_Oring__char__0(t_a) || equal(u,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____))* c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Opoly(t_a,u))* -> .
% 299.87/300.52  14975[0:SpR:3753.0,6450.1] || equal(u,skf48(c_fequal(hAPP(c_Nat_OSuc,v)))) -> equal(c_Int_Onat__aux(u,w),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.52  29304[0:Res:16882.1,12641.0] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))*.
% 299.87/300.52  12947[0:Rew:12519.0,12657.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf48(c_fequal(w))))*.
% 299.87/300.52  24902[0:SpL:13412.1,3752.0] || equal(u,v) equal(c_Int_Onat__aux(skf48(c_fequal(w)),u),c_Int_Onat__aux(skf48(c_fequal(x)),v))* -> equal(w,x).
% 299.87/300.52  17438[0:SpL:6450.1,3752.0] || equal(u,skf48(c_fequal(v)))* equal(c_Int_Onat__aux(u,w),c_Int_Onat__aux(skf48(c_fequal(x)),w))* -> equal(v,x)*.
% 299.87/300.52  18314[0:SpR:5744.1,495.1] class_Groups_Ozero(u) || equal(skf37(u,v),w) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),w),skf36(u,v)),v)**.
% 299.87/300.52  18311[0:SpR:495.1,5744.1] class_Groups_Ozero(u) || equal(skf36(u,v),w) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),w),v)**.
% 299.87/300.52  18911[0:SpL:5744.1,492.0] || equal(skf33(u,v),w) equal(hAPP(v,w),hAPP(u,skf33(u,v)))* -> equal(v,u).
% 299.87/300.52  18951[0:SpL:5744.1,492.0] || equal(skf33(u,v),w) equal(hAPP(v,skf33(u,v)),hAPP(u,w))* -> equal(v,u).
% 299.87/300.52  72138[0:SSi:72066.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(v))))**.
% 299.87/300.52  72141[0:SSi:72064.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf60(v))))**.
% 299.87/300.52  72296[0:SSi:72263.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u)),v)))**.
% 299.87/300.52  72299[0:SSi:72261.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u)),v)))**.
% 299.87/300.52  72303[0:SSi:72245.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(v))))**.
% 299.87/300.52  72306[0:SSi:72243.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(v))))**.
% 299.87/300.52  72471[0:SSi:72437.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(u)),v)))**.
% 299.87/300.52  72473[0:SSi:72435.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf60(u)),v)))**.
% 299.87/300.52  78036[0:SSi:77992.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  72477[0:SSi:72419.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf48(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),skf48(v))))**.
% 299.87/300.52  72479[0:SSi:72417.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),skf60(v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),skf60(v))))**.
% 299.87/300.52  26550[0:SpR:12553.0,12933.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,skf60(u))),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),v))**.
% 299.87/300.52  26548[0:SpR:12551.0,12933.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(u))),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),v))**.
% 299.87/300.52  15720[0:SpL:505.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),w,v)*.
% 299.87/300.52  54433[0:Rew:550.1,54059.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.52  51102[0:Rew:550.1,51001.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf46(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.52  15935[0:SpL:550.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)*.
% 299.87/300.52  15618[0:SpL:506.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),w,v)*.
% 299.87/300.52  15327[0:SpL:496.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP2(hAPP(c_Polynomial_Osmult(u),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.52  18998[0:SpL:551.0,334.0] || hBOOL(hAPP(hAPP(hAPP(u,v),w),x)) -> SkP2(hAPP(c_COMBC(y,z,x1,u),w),v,x)*.
% 299.87/300.52  18316[0:SpL:495.1,334.0] class_Groups_Ozero(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),skf36(u,v),w)*.
% 299.87/300.52  48729[0:SpL:747.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))*.
% 299.87/300.52  48857[0:SpL:746.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(u),w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.52  48992[0:SpL:815.1,334.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  49290[0:SpL:813.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  49539[0:SpL:812.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  49367[0:SpL:814.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)) -> SkP2(c_Groups_Ominus__class_Ominus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  65629[0:Res:939.2,334.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.52  48044[0:SpL:12636.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(c_fequal(skf56(u,v))))*.
% 299.87/300.52  64861[0:Res:937.2,334.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP2(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)*.
% 299.87/300.52  3531[0:SpL:313.1,384.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  55651[0:SpR:837.1,369.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.87/300.52  55652[0:SpR:837.1,372.1] class_Rings_Oring__1(u) class_Groups_Omonoid__mult(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.87/300.52  72651[0:SSi:72650.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.87/300.52  45054[0:SpR:753.0,412.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))**.
% 299.87/300.52  70598[0:SSi:70515.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  48766[0:SSi:48765.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),skf48(c_fequal(skf56(u,v))))**.
% 299.87/300.52  48056[0:SSi:48031.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),skf48(c_fequal(skf56(u,v)))),u)**.
% 299.87/300.52  54444[0:AED:109.0,54083.1] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf49(hAPP(c_Polynomial_Osmult(u),v))))*.
% 299.87/300.52  22847[0:SpR:556.1,595.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),w)**.
% 299.87/300.52  48757[0:Obv:48678.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))**.
% 299.87/300.52  70609[0:Rew:812.1,70608.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))**.
% 299.87/300.52  22848[0:SpR:556.1,594.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),v),w)**.
% 299.87/300.52  57977[0:MRR:57960.4,278.1] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))* -> .
% 299.87/300.52  5064[0:SpL:394.1,384.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),v)))))*.
% 299.87/300.52  48865[0:SpL:746.1,384.0] class_Groups_Ogroup__add(u) || hBOOL(v)* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),w)))))*.
% 299.87/300.52  43821[0:SpR:742.0,442.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  54036[0:SpL:496.1,51176.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf49(hAPP(c_Polynomial_Osmult(u),v))))*.
% 299.87/300.52  20545[0:SpL:554.1,586.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Olinordered__ring(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))* -> .
% 299.87/300.52  39077[0:Res:526.1,647.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),v))* -> .
% 299.87/300.52  18585[0:Res:525.1,12538.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf48(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  18581[0:Res:525.1,12183.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf60(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  18624[0:Res:525.2,12538.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf48(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.52  18743[0:Res:515.1,12538.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf48(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  18620[0:Res:525.2,12183.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf60(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.52  18739[0:Res:515.1,12183.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,skf60(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf60(c_Orderings_Oord__class_Oless__eq(u,w))))*.
% 299.87/300.52  38670[0:Res:526.1,648.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),v))* -> .
% 299.87/300.52  38798[0:Res:526.1,644.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),v))* -> .
% 299.87/300.52  73823[0:SSi:73816.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.52  67646[15:Rew:67570.0,67521.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(t_a,v_cs____)),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.52  23832[0:AED:109.0,23809.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.52  40977[0:SpR:2526.0,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  66657[0:SpR:947.1,408.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v)),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.52  43790[0:SpR:742.0,395.2] hBOOL(u) hBOOL(hAPP(v,u)) ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_fconj),v),u))*.
% 299.87/300.52  67647[15:Rew:67570.0,67520.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(t_a,v_cs____)),x),y),hAPP(c_Groups_Ozero__class_Ozero(t_a),hAPP(x,y)))**.
% 299.87/300.52  53219[0:SSi:53199.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.52  53159[0:Res:378.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.52  111887[18:MRR:47657.1,111803.0] || equal(skf62(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.52  127235[18:Res:118137.1,12641.0] || equal(skf48(c_fequal(hAPP(c_Int_Onat,u))),skf48(c_Nat_OSuc))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Nat_OSuc,v))*.
% 299.87/300.52  135841[18:SpR:3754.1,111850.0] || equal(u,v) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.52  136085[18:SpR:3754.1,111851.0] || equal(u,v) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.52  146315[0:Res:75079.1,873.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.52  150326[0:Res:63058.1,873.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  152839[2:Res:63093.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  157444[0:Res:55594.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v)).
% 299.87/300.52  157549[0:Res:58754.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v)).
% 299.87/300.52  157831[0:Res:539.0,56233.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))* equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),hAPP(c_Nat_OSuc,u)).
% 299.87/300.52  157992[0:Res:75081.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.52  158386[0:Res:540.0,63156.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))* equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf48(c_fequal(u))).
% 299.87/300.52  158426[0:Res:540.0,63126.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))* equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))),u).
% 299.87/300.52  163244[2:Res:161748.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  168339[0:SpL:272.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.52  168380[0:SpL:272.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.52  169162[2:Res:163264.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.52  169776[0:Res:346.0,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf66(u,v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf65(u,v)),w)).
% 299.87/300.52  169789[0:Res:54125.0,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)).
% 299.87/300.52  169792[0:Res:325.1,1053.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))*.
% 299.87/300.52  170428[18:MRR:170427.1,111803.0] || equal(skf48(c_fequal(skf68(c_Nat_OSuc,u,v))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170429[8:MRR:170407.1,19248.0] || equal(hAPP(c_Nat_OSuc,skf68(c_Int_Onat,u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170430[8:MRR:170406.1,19248.0] || equal(skf48(c_fequal(skf68(c_Int_Onat,u,v))),skf48(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170818[18:MRR:170817.1,111803.0] || equal(skf48(c_fequal(skf67(c_Nat_OSuc,u,v))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170819[8:MRR:170795.1,19248.0] || equal(hAPP(c_Nat_OSuc,skf67(c_Int_Onat,u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170820[8:MRR:170794.1,19248.0] || equal(skf48(c_fequal(skf67(c_Int_Onat,u,v))),skf48(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  171006[0:Rew:3728.0,171002.2] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  171008[0:SSi:171004.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  171434[0:SSi:171424.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  171437[0:SSi:171410.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.52  172331[0:SSi:172330.0,133.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  172716[0:Obv:172666.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.52  173367[0:MRR:173366.2,218.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u),c_Int_Onat__aux(skf48(c_fequal(v)),v))* -> equal(u,v).
% 299.87/300.52  175090[0:Obv:175039.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))*.
% 299.87/300.52  175615[0:Obv:175545.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),v))*.
% 299.87/300.52  176404[0:Obv:176292.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf41(hAPP(c_Rings_Odvd__class_Odvd(u),v),w,x)))*.
% 299.87/300.52  176534[0:Res:176487.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x))))*.
% 299.87/300.52  176716[0:SSi:176663.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.52  176717[0:SSi:176660.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  176719[0:SSi:176641.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.52  176720[0:SSi:176626.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.52  176721[2:SSi:176587.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  176723[0:SSi:176585.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.52  176725[0:SSi:176575.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  176726[0:SSi:176574.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.52  176727[0:SSi:176561.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.52  177041[0:SSi:176954.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  177046[0:SSi:176918.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.52  177047[0:SSi:176909.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.52  177048[0:SSi:176906.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.52  177049[2:SSi:176838.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.52  177050[0:SSi:176834.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.52  177051[2:SSi:176831.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  177052[2:SSi:176827.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  150004[2:Res:146402.0,383.0] ||  -> equal(skf48(c_fequal(skf64(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))))),hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.87/300.52  150014[2:MRR:149999.0,64525.1] ||  -> equal(skf48(c_fequal(skf64(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))))))),skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))*.
% 299.87/300.52  159722[2:Res:64525.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  159801[2:Res:146401.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.87/300.52  176718[2:SSi:176659.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  177040[2:SSi:176956.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.87/300.52  69347[10:MRR:69346.0,38830.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  150012[10:MRR:150009.0,38830.0] ||  -> equal(skf48(c_fequal(skf64(skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))),skf62(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,v)))*.
% 299.87/300.52  170457[10:MRR:170276.1,170276.2,38830.0,4367.0] || equal(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  170847[10:MRR:170664.1,170664.2,38830.0,4367.0] || equal(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  172795[10:MRR:172788.1,38830.0] || equal(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  172796[10:MRR:172787.1,38830.0] || equal(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  172837[10:MRR:172831.1,38830.0] || equal(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),skf49(c_fNot))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  172838[10:MRR:172830.1,38830.0] || equal(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),skf49(c_fNot))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.52  29301[2:Res:5951.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.52  58495[2:Res:54544.1,12641.0] || equal(hAPP(c_Int_Onat,u),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.52  77974[10:Rew:2526.0,77962.0] || equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.52  45091[0:SpL:753.0,333.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v).
% 299.87/300.52  45090[0:SpL:753.0,334.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v).
% 299.87/300.52  44952[0:SpL:1657.0,333.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v).
% 299.87/300.52  44951[0:SpL:1657.0,334.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v).
% 299.87/300.52  62117[2:Res:51947.1,12641.0] || equal(hAPP(c_Int_Onat,u),v)* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))*.
% 299.87/300.52  169177[2:SSi:169143.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.87/300.52  77975[10:SSi:77951.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)).
% 299.87/300.52  161893[2:SSi:161864.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),hAPP(c_Int_Onat,skf48(c_fNot))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.87/300.52  54084[0:SpL:601.0,51176.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.87/300.52  54038[0:SpL:414.0,51176.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.52  40560[2:MRR:40509.1,12497.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(v))),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(v))))))*.
% 299.87/300.52  177329[0:SSi:177268.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  177332[0:SSi:177222.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.52  177334[2:SSi:177196.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  177335[0:SSi:177195.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.52  177336[0:SSi:177194.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.52  177337[0:SSi:177193.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.52  177338[0:SSi:177170.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.52  177750[0:SSi:177696.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  177751[0:SSi:177678.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.52  177752[0:SSi:177663.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  177753[2:SSi:177624.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  177755[0:SSi:177622.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  177757[0:SSi:177598.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  177762[0:MRR:177761.2,69697.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.52  178084[0:SSi:177969.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.52  178085[0:SSi:177968.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  178086[0:SSi:177967.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  178087[0:SSi:177958.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v)))))*.
% 299.87/300.52  178088[0:SSi:177953.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)))))*.
% 299.87/300.52  178089[0:SSi:177923.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w)))*.
% 299.87/300.52  178090[0:SSi:177920.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178091[0:SSi:177901.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178092[0:SSi:177875.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178093[2:SSi:177852.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.52  178094[0:SSi:177848.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.52  178095[2:SSi:177845.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  178096[0:SSi:177843.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))*.
% 299.87/300.52  178097[2:SSi:177842.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178098[2:SSi:177841.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.87/300.52  178099[0:SSi:177833.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  178315[0:SSi:178256.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  178316[0:SSi:178223.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178317[0:SSi:178211.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.52  178318[2:SSi:178184.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178319[0:SSi:178183.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.52  178320[0:SSi:178182.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.52  178321[0:SSi:178181.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.52  178322[0:SSi:178158.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.52  178614[0:SSi:178532.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  178615[0:SSi:178523.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(v)))))*.
% 299.87/300.52  178616[0:SSi:178518.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)))))*.
% 299.87/300.52  178617[0:SSi:178497.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.52  178618[0:SSi:178488.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w)))*.
% 299.87/300.52  178619[0:SSi:178485.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.52  178620[2:SSi:178417.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.52  178621[0:SSi:178413.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.52  178622[2:SSi:178410.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.52  178623[2:SSi:178406.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.87/300.52  179325[0:Obv:179234.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))**.
% 299.87/300.52  179326[0:Obv:179190.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Oone__class_Oone(u),v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v))**.
% 299.87/300.52  179349[0:SSi:179348.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)),w))*.
% 299.87/300.52  179491[0:SpR:1075.0,442.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  179554[0:SpR:1075.0,490.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.52  179560[0:SpR:1075.0,1637.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.52  179896[0:SpL:1075.0,461.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  180315[0:MRR:180271.0,1879.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),skf50(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf64(v))).
% 299.87/300.52  180408[0:MRR:180363.0,1879.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),skf50(skf64(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v))).
% 299.87/300.52  180665[0:SSi:180635.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.52  180910[0:SpR:1098.1,393.1] class_Groups_Ominus(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),w),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  181487[0:SSi:180922.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x)),hAPP(c_Nat_OSuc,hAPP(v,x))))*.
% 299.87/300.52  181975[0:SSi:181938.0,139.0,107.1] || equal(u,v_cs____) equal(v,v_c____) equal(hAPP(hAPP(c_Polynomial_OpCons(t_a),v),u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))** -> .
% 299.87/300.52  182419[0:MRR:182418.0,1881.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),u)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  182574[0:MRR:182532.2,65745.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.52  182694[2:MRR:182657.2,220.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.52  182915[0:MRR:182857.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> .
% 299.87/300.52  182916[0:MRR:182856.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> .
% 299.87/300.52  182917[0:MRR:182855.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> .
% 299.87/300.52  182918[0:MRR:182854.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> .
% 299.87/300.52  182919[0:MRR:182853.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> .
% 299.87/300.52  183404[8:MRR:183358.0,252.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),u),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(c_Int_Onat)),u)))**.
% 299.87/300.52  183405[8:Rew:183404.0,49102.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(c_Int_Onat)),u)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(c_Int_Onat)),u))**.
% 299.87/300.52  183859[2:SSi:183795.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.52  183860[2:SSi:183794.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.52  183861[2:SSi:183793.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.52  183916[2:SSi:183867.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.52  184141[2:SSi:184090.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.52  184142[2:SSi:184089.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.52  184281[0:MRR:184280.1,116130.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w))*.
% 299.87/300.52  184283[0:MRR:184282.1,116130.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))*.
% 299.87/300.52  184377[0:SSi:184310.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Opcompose(tc_Nat_Onat,u,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))),w),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.52  184654[0:SSi:184586.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Opcompose(tc_Int_Oint,u,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v))),w),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.52  185593[0:Rew:3614.0,185592.1,2525.0,185592.1,62617.0,185592.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.52  185681[2:SSi:185674.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.52  186041[8:Res:19248.0,3663.0] ||  -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Int_Onat,v,u)),u)**.
% 299.87/300.52  186111[18:MRR:185991.0,111803.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Nat_OSuc,v,u)),u)**.
% 299.87/300.52  186456[8:Res:19248.0,3661.0] ||  -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Int_Onat,v,u)),u)**.
% 299.87/300.52  186526[18:MRR:186406.0,111803.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Nat_OSuc,v,u)),u)**.
% 299.87/300.52  186838[2:SSi:186824.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))*.
% 299.87/300.52  187586[0:Res:51668.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.87/300.52  187640[0:SSi:187579.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.52  187641[0:SSi:187577.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  187642[0:SSi:187576.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> SkP0(w,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  188095[0:MRR:187704.1,2481.0] ||  -> hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(u,v,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.52  188235[0:SSi:188155.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  188236[0:SSi:188154.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.52  188237[0:SSi:188153.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  188238[0:SSi:188152.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  188668[0:MRR:188277.1,2481.0] ||  -> hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(u,v,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.52  188804[15:SSi:188803.0,107.0] || equal(c_Polynomial_Oorder(t_a,u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))).
% 299.87/300.52  188806[15:SSi:188805.0,107.0] || equal(c_Polynomial_Oorder(t_a,u,c_Polynomial_Opcompose(t_a,v_cs____,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Opcompose(t_a,v_cs____,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))).
% 299.87/300.52  188915[0:Res:51669.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.52  188969[0:SSi:188906.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.52  10461[0:SpL:379.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(x,y,v),c_Orderings_Oord__class_OLeast(u,c_Nat_Onat_Onat__case(x,y,v))))*.
% 299.87/300.52  50545[0:Obv:50507.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> equal(v,w).
% 299.87/300.52  51105[0:Rew:551.0,51022.1] || hBOOL(hAPP(hAPP(u,skf46(hAPP(c_COMBC(v,w,x,u),y))),y))* -> hBOOL(hAPP(hAPP(u,z),y))*.
% 299.87/300.52  54440[0:Rew:551.0,54104.1] || hBOOL(hAPP(hAPP(u,v),w))* -> hBOOL(hAPP(hAPP(u,skf49(hAPP(c_COMBC(x,y,z,u),w))),w))*.
% 299.87/300.52  44040[0:SpR:285.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_COMBK(x,y),z)),x1),x2),hAPP(z,hAPP(x1,x2)))**.
% 299.87/300.52  43890[0:SpR:3614.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),skf48(c_fequal(y))),hAPP(hAPP(x,skf48(c_fequal(y))),y))*.
% 299.87/300.52  44022[0:SpR:3614.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Int_Onat),x),skf48(c_fequal(y))),hAPP(y,hAPP(x,skf48(c_fequal(y)))))*.
% 299.87/300.52  40981[0:SpR:15222.0,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  43908[0:SpR:285.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_COMBK(y,z),x1)),x2),hAPP(hAPP(x,x2),x1))**.
% 299.87/300.52  3534[0:SpL:319.0,384.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,u,w),x),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower_Opower(v,u,w),x)))))*.
% 299.87/300.52  7967[0:SpL:403.1,384.0] class_Rings_Omult__zero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  30412[0:AED:109.0,30378.1] class_Rings_Oring__no__zero__divisors(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  43800[0:SpR:742.0,507.1] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(u)),z),v)))*.
% 299.87/300.52  43816[0:SpR:742.0,354.1] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(y,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.52  43817[0:SpR:742.0,355.1] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(y,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.52  43826[0:SpR:742.0,363.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),c_Groups_Oone__class_Oone(u)),hAPP(y,c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.52  43827[0:SpR:742.0,359.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),c_Groups_Oone__class_Oone(u)),hAPP(y,c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.52  43828[0:SpR:742.0,360.1] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),c_Groups_Oone__class_Oone(u)),hAPP(y,c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.52  43829[0:SpR:742.0,365.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),c_Groups_Oone__class_Oone(u)),hAPP(y,c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.52  66110[0:SSi:66109.0,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w))),hAPP(c_Polynomial_Ocoeff(u,v),w))**.
% 299.87/300.52  28359[0:Res:659.1,584.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.52  18619[0:Res:525.2,384.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,w)))))*.
% 299.87/300.52  28360[0:Res:659.1,583.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.52  73167[0:SpL:1661.1,384.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.87/300.52  66690[0:Obv:66672.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),w),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.52  42323[0:SpR:687.1,510.1] class_Rings_Ocomm__ring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.87/300.52  42326[0:SpR:687.1,507.1] class_Rings_Ocomm__ring__1(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.52  49737[0:SpL:816.1,384.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.87/300.52  8038[0:SpL:401.1,384.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.52  28797[0:Res:28559.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))).
% 299.87/300.52  28810[0:Res:28557.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))).
% 299.87/300.52  16267[0:SpL:414.0,12183.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.52  17330[0:SpL:414.0,12538.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.52  72148[0:Rew:957.1,72043.1] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)))*.
% 299.87/300.52  55729[0:Rew:12570.1,55728.1,12933.0,55728.1] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))**.
% 299.87/300.52  7223[0:SpL:411.1,384.0] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),v)))))*.
% 299.87/300.52  62046[0:Rew:62042.1,62014.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(v) -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.87/300.52  20001[0:SpL:553.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)*.
% 299.87/300.52  25295[0:SpL:602.0,334.0] || hBOOL(hAPP(hAPP(u,hAPP(v,w)),x)) -> SkP2(hAPP(hAPP(c_COMBB(y,z,x1),u),v),w,x)*.
% 299.87/300.52  57322[0:SpL:878.1,334.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w))) -> SkP2(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u),c_Polynomial_Omonom(u,v,w))*.
% 299.87/300.52  20437[0:SpL:590.1,334.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w))* -> SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Int_Oring__1__class_Oof__int(u,v),w)*.
% 299.87/300.52  19372[0:SpL:601.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w)*.
% 299.87/300.52  22496[0:SpL:595.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),x,w)*.
% 299.87/300.52  22659[0:SpL:594.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),x,w)*.
% 299.87/300.52  55690[0:SpL:837.1,334.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* -> SkP2(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v),w)*.
% 299.87/300.52  20089[0:SpL:554.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.52  23499[0:AED:109.0,23477.1] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),v)))))*.
% 299.87/300.52  16263[0:SpL:393.1,12183.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf60(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),skf60(v)))))*.
% 299.87/300.52  17326[0:SpL:393.1,12538.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf48(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),skf48(v)))))*.
% 299.87/300.52  5339[0:SpL:393.1,384.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),v)))))*.
% 299.87/300.52  17418[0:Rew:550.1,17319.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.52  16351[0:Rew:550.1,16256.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.52  20472[0:SSi:20416.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))**.
% 299.87/300.52  63116[0:Res:63055.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))* -> equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))),u).
% 299.87/300.52  63150[0:Res:63096.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),skf48(c_fequal(u))))* -> equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf48(c_fequal(u))).
% 299.87/300.52  21305[0:Res:7330.0,21243.0] ||  -> equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.87/300.52  24450[0:SpR:5744.1,576.2] class_Orderings_Owellorder(u) || equal(v,w)* hBOOL(hAPP(x,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,x)),v))*.
% 299.87/300.52  66691[0:SSi:66661.0,122.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.52  39191[0:SSi:39178.2,121.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Opoly(u,v),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.52  42986[0:Rew:713.1,42971.2] class_Groups_Ozero(u) || equal(v,w) -> equal(c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,x)),c_Nat_Onat_Onat__case(u,w,c_Polynomial_Ocoeff(u,x)))*.
% 299.87/300.52  42984[0:Rew:713.1,42973.2] class_Groups_Ozero(u) || equal(v,w) -> equal(c_Nat_Onat_Onat__case(u,x,c_Polynomial_Ocoeff(u,v)),c_Nat_Onat_Onat__case(u,x,c_Polynomial_Ocoeff(u,w)))*.
% 299.87/300.52  20415[0:SpR:590.1,5744.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.52  24641[0:SpL:5744.1,584.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.52  24556[0:SpL:5744.1,583.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.52  20559[0:SpL:5744.1,586.1] class_Rings_Olinordered__ring(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),v))* -> .
% 299.87/300.52  20531[0:SpL:5744.1,586.1] class_Rings_Olinordered__ring(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.52  19869[0:SpR:5744.1,565.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  19865[0:SpR:565.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))**.
% 299.87/300.52  29342[0:Res:378.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.52  56320[0:Res:428.2,836.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.52  56323[0:Res:1639.2,836.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.52  55376[0:Res:428.2,892.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.52  55377[0:Res:1639.2,892.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.52  55048[0:Res:428.2,894.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.52  55051[0:Res:1639.2,894.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.52  23475[0:SpL:598.2,334.0] class_Groups_Oab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x)*.
% 299.87/300.52  23605[0:SpL:597.2,334.0] class_Groups_Ogroup__add(u) || equal(v,w) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x)*.
% 299.87/300.52  22639[0:SpR:5744.1,594.1] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),w),x)**.
% 299.87/300.52  22480[0:SpR:5744.1,595.1] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v)),w),x)**.
% 299.87/300.52  58160[0:SSi:58132.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.53  23145[0:SpR:5744.1,555.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))*.
% 299.87/300.53  22877[0:SpR:5744.1,556.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x))*.
% 299.87/300.53  22656[0:SpR:5744.1,594.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),w)*.
% 299.87/300.53  22495[0:SpR:5744.1,595.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),w)*.
% 299.87/300.53  23807[0:SpL:558.2,334.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(w,x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x)*.
% 299.87/300.53  79332[0:SSi:79331.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),w)**.
% 299.87/300.53  79330[0:SSi:79329.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),w)**.
% 299.87/300.53  19351[0:SpR:601.0,5744.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u))*.
% 299.87/300.53  77085[0:MRR:76996.3,76996.5,301.1,230.0] class_Rings_Oidom(u) || equal(v,w)* SkP2(c_Groups_Otimes__class_Otimes(u),w,w)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 299.87/300.53  57671[0:SpL:902.2,334.0] class_Rings_Oidom(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> SkP2(c_Groups_Otimes__class_Otimes(u),w,w)*.
% 299.87/300.53  43996[0:SpR:272.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),x),y),hAPP(y,hAPP(x,y)))*.
% 299.87/300.53  54537[0:EqR:903.1] class_Rings_Oring__1__no__zero__divisors(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  43864[0:SpR:272.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),y),hAPP(hAPP(x,y),y))*.
% 299.87/300.53  58762[0:Res:58532.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.87/300.53  40866[0:MRR:40783.1,9522.0] || equal(u,skf64(v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf50(u))),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w))*.
% 299.87/300.53  62045[0:Rew:62042.1,62015.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(v) -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.87/300.53  54525[0:MRR:54511.3,2780.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.87/300.53  23476[0:SpL:598.2,333.0] class_Groups_Oab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x)*.
% 299.87/300.53  23606[0:SpL:597.2,333.0] class_Groups_Ogroup__add(u) || equal(v,w) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x)*.
% 299.87/300.53  25296[0:SpL:602.0,333.0] || hBOOL(hAPP(hAPP(u,hAPP(v,w)),x)) -> SkP1(hAPP(hAPP(c_COMBB(y,z,x1),u),v),w,x)*.
% 299.87/300.53  57323[0:SpL:878.1,333.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w))) -> SkP1(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u),c_Polynomial_Omonom(u,v,w))*.
% 299.87/300.53  55691[0:SpL:837.1,333.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* -> SkP1(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v),w)*.
% 299.87/300.53  20438[0:SpL:590.1,333.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w))* -> SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Int_Oring__1__class_Oof__int(u,v),w)*.
% 299.87/300.53  19373[0:SpL:601.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w)*.
% 299.87/300.53  22497[0:SpL:595.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),x,w)*.
% 299.87/300.53  22660[0:SpL:594.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),x,w)*.
% 299.87/300.53  61874[0:SpR:742.0,46655.0] ||  -> SkP1(u,hAPP(v,hAPP(c_Nat_OSuc,w)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  23808[0:SpL:558.2,333.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(w,x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x)*.
% 299.87/300.53  20090[0:SpL:554.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.53  20002[0:SpL:553.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)*.
% 299.87/300.53  26134[0:SpL:2526.0,650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))).
% 299.87/300.53  25859[0:SpR:2526.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.53  61520[0:SpL:3622.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.53  61408[0:Rew:2544.0,61349.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.87/300.53  59275[0:Rew:15222.0,59217.1] || equal(u,hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.53  59407[0:SpR:3622.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(v)),u)))*.
% 299.87/300.53  47774[0:SpR:3757.0,3634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.53  19806[0:SpL:15222.0,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))* -> .
% 299.87/300.53  59228[0:Res:382.1,914.0] || equal(u,v)* equal(w,hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.53  19810[0:SpL:2135.1,580.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))* -> .
% 299.87/300.53  19800[0:SpL:5744.1,580.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> .
% 299.87/300.53  72392[0:SpR:955.1,437.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))))*.
% 299.87/300.53  24996[0:SpL:13412.1,3710.0] || equal(hAPP(c_Nat_OSuc,u),v)* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.53  68018[0:Res:11296.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w)).
% 299.87/300.53  68017[0:Res:9514.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w)).
% 299.87/300.53  42069[0:SpL:3705.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.53  19812[0:SpL:5744.1,580.1] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> .
% 299.87/300.53  20249[0:SpL:6450.1,3710.0] || equal(skf48(c_fequal(u)),v)* equal(w,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.53  20250[0:SpL:3754.1,3710.0] || equal(u,v)* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.53  19756[0:SpL:5744.1,1629.0] || equal(u,v)* hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  19505[0:SpR:5744.1,1630.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w)),u))*.
% 299.87/300.53  68057[4:Res:42157.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v))*.
% 299.87/300.53  20251[0:SpL:3753.0,3710.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))*.
% 299.87/300.53  63617[4:SpR:3705.1,24689.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,skf52(u,v)),w)* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,v)*.
% 299.87/300.53  62458[0:Rew:42008.1,62457.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(c_Nat_OSuc,skf44(hAPP(c_Nat_OSuc,u),v)),hAPP(c_Nat_OSuc,skf52(u,v)))**.
% 299.87/300.53  21257[0:Rew:276.0,21186.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,skf45(hAPP(c_Nat_OSuc,u),v))),v)**.
% 299.87/300.53  61778[0:Res:375.0,3767.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.53  61549[0:Res:1608.0,3765.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.53  29334[0:Res:1608.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  29340[0:Res:375.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  17585[0:SpL:13147.1,3718.0] || equal(skf48(c_fequal(u)),v)* equal(w,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.87/300.53  56119[0:Res:428.2,848.1] class_Orderings_Oorder(u) class_Rings_Olinordered__semidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  56122[0:Res:1639.2,848.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  61768[0:Res:1608.1,3767.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.53  59258[0:Res:1608.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  75007[4:Res:61109.1,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.87/300.53  59790[0:SpR:3622.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  61251[0:Rew:2544.0,61158.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  52849[0:SSi:52821.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)),w))*.
% 299.87/300.53  27688[0:SpR:3690.1,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  27804[0:SpL:3690.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.53  42070[0:SpL:3705.1,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.87/300.53  69361[0:SpR:4392.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  61711[0:SpL:3622.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  73605[0:Res:991.2,21175.0] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))*.
% 299.87/300.53  28957[0:Res:16419.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))),skf48(u)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),skf48(u)).
% 299.87/300.53  28955[0:Res:16274.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))),skf60(u)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),skf60(u)).
% 299.87/300.53  28274[0:Res:579.1,9639.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),u))* -> equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u).
% 299.87/300.53  42024[0:SpR:3705.1,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  68033[0:Res:3092.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)).
% 299.87/300.53  17368[0:Res:539.0,12538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(u)),v))* equal(skf48(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.53  16532[0:Res:539.1,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf60(u)),v))* equal(v,skf60(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.53  16487[0:SpR:9487.0,539.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),u)) equal(skf50(skf64(v)),u).
% 299.87/300.53  21695[0:SpR:12874.1,3690.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(v,w)),w)**.
% 299.87/300.53  21673[0:SpR:3690.1,15222.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,skf44(u,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.53  21716[0:SpL:3690.1,3752.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),v)** -> equal(w,u).
% 299.87/300.53  21680[0:SpR:3690.1,6450.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf48(c_fequal(u)),w) -> equal(c_Int_Onat__aux(w,skf44(u,v)),v)**.
% 299.87/300.53  24871[0:SpR:13412.1,3690.1] || equal(skf44(u,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),v)*.
% 299.87/300.53  77064[0:MRR:76916.3,9528.0] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u),c_Groups_Oone__class_Oone(tc_Nat_Onat))* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(skf50(skf64(u))).
% 299.87/300.53  75415[0:SpL:365.1,1003.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),w)** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.53  20070[0:SpR:554.1,5744.1] class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  20000[0:SpR:5744.1,553.1] class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  25137[0:Obv:25134.0] class_Groups_Ozero(u) || equal(v,w)* equal(c_Polynomial_Omonom(u,v,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  24384[0:SpL:5744.1,561.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> equal(x,w)*.
% 299.87/300.53  24333[0:SpL:5744.1,570.1] class_Lattices_Oboolean__algebra(u) || equal(v,w)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> equal(x,w)*.
% 299.87/300.53  24160[0:SpL:5744.1,596.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(w,x)*.
% 299.87/300.53  24166[0:SpL:5744.1,596.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(x,w)*.
% 299.87/300.53  24076[0:SpL:5744.1,599.1] class_Groups_Oab__group__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(w,x)*.
% 299.87/300.53  24082[0:SpL:5744.1,599.1] class_Groups_Oab__group__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(x,w)*.
% 299.87/300.53  24040[0:SpL:5744.1,557.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v),x)** -> equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  23924[0:SpL:5744.1,560.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),x)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),x),w)*.
% 299.87/300.53  20917[0:SpR:2135.1,579.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(v,w).
% 299.87/300.53  20919[0:SpR:5744.1,579.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* equal(w,v).
% 299.87/300.53  25247[0:Obv:25244.0] class_Groups_Ozero(u) || equal(v,w)* equal(c_Polynomial_Omonom(u,x,y),c_Polynomial_Omonom(u,w,y))* -> equal(x,v)*.
% 299.87/300.53  25249[0:Obv:25242.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(c_Polynomial_Omonom(u,w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,v)*.
% 299.87/300.53  10397[0:SpL:356.1,447.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  10398[0:SpL:371.1,447.1] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  10328[0:SpR:448.2,356.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v).
% 299.87/300.53  10329[0:SpR:448.2,371.1] class_Groups_Olinordered__ab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v).
% 299.87/300.53  25723[0:SpR:2526.0,682.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,v)))**.
% 299.87/300.53  68802[4:SpR:3724.0,54404.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.53  68782[0:SpR:3724.0,348.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.53  68849[0:SpL:3724.0,6666.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))** -> .
% 299.87/300.53  22231[0:SpL:6450.1,6391.0] || equal(skf48(c_fequal(u)),v)* equal(w,c_Int_Onat__aux(v,x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x),u)*.
% 299.87/300.53  22235[0:SpL:3754.1,6391.0] || equal(u,v)* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x),u)*.
% 299.87/300.53  42158[0:SpR:3709.1,3632.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) equal(c_Int_Onat__aux(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,v))),u)**.
% 299.87/300.53  22592[0:SpL:18347.0,6391.0] || equal(u,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf50(skf64(w))),v)*.
% 299.87/300.53  68313[4:Res:61109.1,3680.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))).
% 299.87/300.53  24983[0:SpL:13412.1,6391.0] || equal(u,v)* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),v))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u),x)*.
% 299.87/300.53  69144[0:Rew:3749.0,69130.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))))),w))* -> .
% 299.87/300.53  69146[0:Rew:3753.0,69107.0,3753.0,69107.0,3749.0,69107.0,3753.0,69107.0,3753.0,69107.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))))),v))* -> .
% 299.87/300.53  69145[0:Rew:3749.0,69110.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))),w))),v))* -> .
% 299.87/300.53  69128[0:Res:3729.1,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),u) -> .
% 299.87/300.53  69392[0:Res:3738.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> SkP1(x,u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))*.
% 299.87/300.53  69125[0:Res:3729.1,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> SkP1(x,u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))*.
% 299.87/300.53  63622[4:SpR:3709.1,24689.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,u)*.
% 299.87/300.53  28947[0:Res:348.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),u).
% 299.87/300.53  68347[0:Rew:3749.0,68336.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))))*.
% 299.87/300.53  68564[4:Res:42157.0,3696.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u)).
% 299.87/300.53  69627[0:Res:16875.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.53  40666[0:Res:740.1,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.87/300.53  40649[0:SpR:682.0,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))*.
% 299.87/300.53  22237[0:SpL:3753.0,6391.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),hAPP(c_Nat_OSuc,v))*.
% 299.87/300.53  68689[0:Res:3720.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> SkP1(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),v)*.
% 299.87/300.53  67006[0:Rew:66992.0,66965.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.53  60773[0:Rew:2544.0,60669.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.53  25732[0:SpR:2526.0,682.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))**.
% 299.87/300.53  68796[0:SpR:3724.0,23963.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.53  71328[4:SpR:997.1,54406.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))))))*.
% 299.87/300.53  71058[4:SpR:1660.1,54406.0] class_Rings_Oring(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))))))*.
% 299.87/300.53  78850[0:SpR:1059.0,61619.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),skf64(x))))*.
% 299.87/300.53  46666[0:SpR:3704.0,22821.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf64(w)))*.
% 299.87/300.53  46660[4:SpR:3704.0,22963.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf64(v)),skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v))))*.
% 299.87/300.53  46659[0:SpR:3704.0,11296.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf64(v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf64(v))))*.
% 299.87/300.53  80703[0:Res:301.0,1032.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w)).
% 299.87/300.53  46480[4:SpR:3703.0,22963.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v),skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.53  46479[0:SpR:3703.0,11296.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.53  46486[0:SpR:3703.0,22821.0] ||  -> SkP1(u,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  46543[0:SpL:3703.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.53  46545[0:SpL:3703.0,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)).
% 299.87/300.53  46459[0:SpR:3703.0,3732.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))**.
% 299.87/300.53  46455[0:SpR:3703.0,24692.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> SkP1(x,w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  46474[0:SpR:3703.0,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  46473[0:SpR:3703.0,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  71329[0:SpR:997.1,46475.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  71059[0:SpR:1660.1,46475.0] class_Rings_Oring(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  19289[0:SpR:5744.1,575.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))*.
% 299.87/300.53  19305[0:SpR:5744.1,575.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.87/300.53  71989[0:SSi:71988.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))))*.
% 299.87/300.53  46654[0:SpR:3704.0,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.53  46653[0:SpR:3704.0,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.53  72856[0:SpR:999.1,46655.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.53  72581[0:SpR:1659.1,46655.0] class_Rings_Oring(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.53  46726[0:SpL:3704.0,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.53  46724[0:SpL:3704.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.53  46639[0:SpR:3704.0,3732.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))**.
% 299.87/300.53  46635[0:SpR:3704.0,24692.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> SkP1(x,w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.53  28938[0:Res:322.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u),u).
% 299.87/300.53  69615[0:Res:222.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.53  20743[0:SpR:5744.1,585.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* equal(w,v).
% 299.87/300.53  47068[0:SpL:2526.0,12673.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.53  24037[0:SpL:5744.1,557.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,w) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),w)* -> equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  25141[0:Obv:25130.0] class_Groups_Ozero(u) || equal(v,w)* equal(w,c_Groups_Ozero__class_Ozero(u))* -> equal(c_Polynomial_Omonom(u,v,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  25139[0:Obv:25132.0] class_Groups_Ozero(u) || equal(v,w)* equal(w,x)* -> equal(c_Polynomial_Omonom(u,v,y),c_Polynomial_Omonom(u,x,y))*.
% 299.87/300.53  23602[0:SpR:5744.1,597.2] class_Groups_Ogroup__add(u) || equal(v,w)* equal(w,x)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  23472[0:SpR:5744.1,598.2] class_Groups_Oab__group__add(u) || equal(v,w)* equal(w,x)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  23783[0:SpR:558.2,5744.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(w,v)* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w),x)**.
% 299.87/300.53  60768[0:Rew:2544.0,60709.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))**.
% 299.87/300.53  68828[0:SpR:4392.0,3724.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))**.
% 299.87/300.53  21852[0:Res:7330.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.87/300.53  29161[0:Res:28717.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))).
% 299.87/300.53  28915[0:Res:28644.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))).
% 299.87/300.53  42315[0:SpR:687.1,322.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.53  28824[0:Res:3536.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),u))* -> equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u).
% 299.87/300.53  68064[0:Res:3549.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.87/300.53  42011[0:SpR:3705.1,3632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,skf52(hAPP(c_Int_Onat,u),v))),v)**.
% 299.87/300.53  26143[0:SpL:2526.0,650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)).
% 299.87/300.53  25868[0:SpR:2526.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  29319[0:Res:1608.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  43694[0:Rew:739.1,43594.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v,w))**.
% 299.87/300.53  71888[0:SpR:959.1,510.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))*.
% 299.87/300.53  55536[0:SpL:852.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* -> SkP2(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),w)*.
% 299.87/300.53  55537[0:SpL:852.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* -> SkP1(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),w)*.
% 299.87/300.53  27846[0:Rew:2544.0,27777.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.53  72892[0:SpL:999.1,461.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  72616[0:SpL:1659.1,461.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  71368[0:SpL:997.1,462.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  71097[0:SpL:1660.1,462.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  18945[0:SpL:1607.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  18905[0:SpL:1607.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u).
% 299.87/300.53  27634[0:Rew:2544.0,27586.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  19268[0:SpR:5744.1,575.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))))*.
% 299.87/300.53  19293[0:SpR:5744.1,575.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.53  42108[0:MRR:42066.2,2296.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Nat_OSuc,skf52(u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  27727[0:Rew:2544.0,27661.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  69080[0:SpR:4392.0,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  61480[0:SpL:3622.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  61410[0:Rew:2544.0,61309.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  59367[0:SpR:3622.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  16265[0:SpL:418.0,12183.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf60(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.87/300.53  17328[0:SpL:418.0,12538.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf48(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.87/300.53  20439[0:SpL:590.1,384.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.87/300.53  69483[0:SpL:4392.0,3665.0] || hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),hAPP(c_Nat_OSuc,v))** -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  56840[0:Res:833.2,426.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))*.
% 299.87/300.53  56983[0:Rew:3622.0,56956.1] || equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u)* -> equal(hAPP(c_Nat_OSuc,u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.53  21304[0:Res:3537.0,21243.0] ||  -> equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.87/300.53  21851[0:Res:3537.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))**.
% 299.87/300.53  58945[0:SpR:9368.0,1901.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v))),u))*.
% 299.87/300.53  54977[0:Rew:1878.0,54962.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),u))*.
% 299.87/300.53  21822[0:SpL:5744.1,21720.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)),v)**.
% 299.87/300.53  21275[0:SpL:5744.1,21243.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(hAPP(c_Nat_OSuc,skf45(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)),v)**.
% 299.87/300.53  19833[0:Rew:10199.1,19803.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> .
% 299.87/300.53  26040[0:Rew:1878.0,26018.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),u))*.
% 299.87/300.53  26038[0:Rew:1878.0,26020.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),u))*.
% 299.87/300.53  67363[0:Res:346.0,1900.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf66(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf65(u,v)),skf66(u,v)))*.
% 299.87/300.53  25272[0:Res:579.1,9629.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  29302[0:Res:395.2,12641.0] hBOOL(u) hBOOL(hAPP(c_Int_Onat,v)) || equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_fconj,u),w))*.
% 299.87/300.53  43047[4:Res:43025.1,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Int_Onat,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,u),w)),v))*.
% 299.87/300.53  43030[4:Res:41857.1,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Int_Onat,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,u),w)),v))*.
% 299.87/300.53  10348[0:SpL:448.2,384.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* hBOOL(v)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(u)))))*.
% 299.87/300.53  63047[0:Res:375.0,923.0] || SkP0(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.53  63038[0:Res:1608.1,923.0] || SkP0(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.53  69745[4:MRR:69530.0,8759.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)* hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.53  69746[4:MRR:69526.0,8759.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP0(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.53  78187[0:SpR:1078.0,72119.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))),w)*.
% 299.87/300.53  77073[0:MRR:76874.3,2478.0] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(u).
% 299.87/300.53  43815[0:SpR:742.0,351.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(y,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.53  20628[0:SpL:5744.1,568.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  20630[0:SpL:5744.1,568.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))* -> equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  19870[0:SpL:565.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v)) -> SkP2(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.53  19871[0:SpL:565.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v)) -> SkP1(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)*.
% 299.87/300.53  23161[0:SpL:555.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),v,x).
% 299.87/300.53  23162[0:SpL:555.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),v,x).
% 299.87/300.53  22893[0:SpL:556.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x))* -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x).
% 299.87/300.53  22894[0:SpL:556.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x))* -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x).
% 299.87/300.53  75600[0:MRR:75595.4,278.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.53  54448[0:AED:109.0,53968.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf49(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.53  54442[0:AED:109.0,53969.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf49(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.53  43799[0:SpR:742.0,509.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(u)),z),v)))*.
% 299.87/300.53  42325[0:SpR:687.1,509.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.53  28519[0:MRR:28518.2,147.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf60(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.53  8085[0:SpL:402.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.53  7242[0:SpL:409.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),v)))))*.
% 299.87/300.53  48312[4:MRR:48311.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.53  46650[0:SpR:3704.0,18862.1] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))**.
% 299.87/300.53  46470[0:SpR:3703.0,18862.1] ||  -> SkP0(u,skf48(c_fequal(v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))**.
% 299.87/300.53  47742[0:SpR:3757.0,18862.1] ||  -> SkP0(u,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),w))))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),x)**.
% 299.87/300.53  68316[0:Res:19039.1,3680.0] ||  -> SkP0(u,skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.53  72030[0:SpR:957.1,510.1] class_Rings_Oring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))*.
% 299.87/300.53  16734[0:SpL:503.2,12183.0] class_Groups_Ogroup__add(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.53  17293[0:SpL:503.2,12538.0] class_Groups_Ogroup__add(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.53  29464[0:Res:28748.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))).
% 299.87/300.53  29185[0:Res:28718.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))).
% 299.87/300.53  29010[0:Res:28645.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))).
% 299.87/300.53  26037[0:Rew:1878.0,26021.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),u))*.
% 299.87/300.53  21134[0:Rew:550.1,21030.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.53  21004[0:SpL:503.2,16218.0] class_Groups_Ogroup__add(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.53  21038[0:SpL:393.1,16218.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf47(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),skf47(v)))))*.
% 299.87/300.53  21086[0:Res:539.0,16218.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf47(u)),v))* equal(skf47(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.53  29448[0:Res:28747.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))).
% 299.87/300.53  28798[0:Res:28560.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))).
% 299.87/300.53  28958[0:Res:16420.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))),skf47(u)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),skf47(u)).
% 299.87/300.53  21042[0:SpL:414.0,16218.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.53  21040[0:SpL:418.0,16218.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf47(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.87/300.53  66371[8:SpR:49088.0,533.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.53  66446[8:SpL:49088.0,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))).
% 299.87/300.53  17154[0:Res:539.0,12380.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf57(u)),v))* equal(skf57(u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v))))*.
% 299.87/300.53  29068[0:Res:28679.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))).
% 299.87/300.53  29051[0:Res:28678.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))).
% 299.87/300.53  29028[0:Res:28677.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))).
% 299.87/300.53  28796[0:Res:28558.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))).
% 299.87/300.53  28956[0:Res:16418.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))),skf57(u)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),skf57(u)).
% 299.87/300.53  17116[0:SpL:414.0,12380.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.53  17114[0:SpL:418.0,12380.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf57(u)),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))))*.
% 299.87/300.53  29199[0:Res:28746.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))).
% 299.87/300.53  29131[0:Res:28716.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))).
% 299.87/300.53  28878[0:Res:28643.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))).
% 299.87/300.53  26039[0:Rew:1878.0,26019.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),u))*.
% 299.87/300.53  17196[0:Rew:550.1,17105.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.53  17080[0:SpL:503.2,12380.0] class_Groups_Ogroup__add(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.53  17112[0:SpL:393.1,12380.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf57(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),skf57(v)))))*.
% 299.87/300.53  7116[0:SpL:414.0,4192.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.87/300.53  79230[0:SpL:1074.0,16194.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))** -> .
% 299.87/300.53  19562[0:SpR:5744.1,587.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* equal(w,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.53  27012[0:Res:587.1,12783.0] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.53  45384[0:SSi:45368.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> .
% 299.87/300.53  45323[0:SSi:45307.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> .
% 299.87/300.53  78601[0:SpL:1073.0,16178.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))** -> .
% 299.87/300.53  19550[0:SpR:5744.1,587.1] || equal(u,v)* equal(w,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.53  45189[0:SSi:45177.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> .
% 299.87/300.53  60812[0:Rew:2170.1,60811.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(u)))*.
% 299.87/300.53  60794[0:Rew:2170.1,60793.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),v))*.
% 299.87/300.53  56861[0:SSi:56790.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))*.
% 299.87/300.53  56860[0:SSi:56808.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.53  56747[0:SSi:56689.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))*.
% 299.87/300.53  56746[0:SSi:56707.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.53  56482[0:SSi:56419.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.87/300.53  56481[0:SSi:56437.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.53  56343[0:SSi:56276.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.53  56342[0:SSi:56294.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.53  16534[0:Res:539.1,4192.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  20239[0:SpL:12545.1,3710.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v))*.
% 299.87/300.53  28227[0:SpL:12545.1,12642.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.53  22219[0:SpL:12545.1,6391.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,c_Int_Onat__aux(u,w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),skf64(u))*.
% 299.87/300.53  19553[0:SpR:5744.1,587.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))*.
% 299.87/300.53  43997[0:SpR:262.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),x),y),hAPP(y,hAPP(x,y)))*.
% 299.87/300.53  43865[0:SpR:262.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),y),hAPP(hAPP(x,y),y))*.
% 299.87/300.53  26041[0:Rew:1878.0,26012.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.53  28792[0:Res:12146.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(skf60(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.53  28793[0:Res:12345.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(skf57(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.53  28794[0:Res:12502.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(skf48(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.53  28795[0:Res:14413.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(skf47(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.53  21709[0:SpL:3690.1,14860.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf44(u,v),v) -> .
% 299.87/300.53  15958[0:Rew:550.1,15943.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.53  25260[0:Res:579.1,9628.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.53  26818[0:SpL:26576.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.53  26816[0:SpL:26576.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u).
% 299.87/300.53  41937[0:MRR:41828.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,u),v)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.53  30411[2:MRR:30390.2,9233.1] class_Rings_Oring__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.53  28790[0:Res:26080.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.53  5344[0:SpL:393.1,4192.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.53  7029[0:SpL:418.0,4192.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))))*.
% 299.87/300.53  64799[0:Res:64662.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.53  75120[0:Res:29873.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.53  78768[0:Res:48874.0,12641.0] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.53  19471[4:MRR:19451.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.53  63215[0:MRR:63201.1,2053.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.53  19470[4:MRR:19455.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf48(c_fequal(v))))*.
% 299.87/300.53  71803[0:Res:585.1,24466.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  62828[0:SpL:458.1,929.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,u)*.
% 299.87/300.53  26377[0:SpL:3690.1,3742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  25725[0:SpR:9370.1,682.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf50(u)))**.
% 299.87/300.53  25734[0:SpR:9370.1,682.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(u)),v))**.
% 299.87/300.53  54504[0:SpL:890.3,334.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.87/300.53  54505[0:SpL:890.3,333.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),v)*.
% 299.87/300.53  25861[0:SpR:9370.1,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(v))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.53  29425[4:MRR:29249.1,8759.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))*.
% 299.87/300.53  68324[0:Res:2803.1,3680.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  69488[0:SpL:9504.0,3665.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(c_Int_Onat__aux(skf48(c_fequal(skf64(v))),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  69713[0:Rew:47909.0,69501.1] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(c_Int_Onat__aux(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)),w)** -> hBOOL(hAPP(u,x))*.
% 299.87/300.53  29216[0:SpL:12132.0,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)),skf48(c_fequal(w)))* -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  29217[0:SpL:12331.0,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)),skf48(c_fequal(w)))* -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  29218[0:SpL:12488.0,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)),skf48(c_fequal(w)))* -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  29219[0:SpL:14019.0,12641.0] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)),skf48(c_fequal(w)))* -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  71722[0:SpL:551.0,24466.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_COMBC(w,x,y,u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  47845[0:SpL:3757.0,3733.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),v))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  18947[0:SpL:293.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.53  18907[0:SpL:293.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u).
% 299.87/300.53  18948[0:SpL:307.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.53  18908[0:SpL:307.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u).
% 299.87/300.53  80012[0:SpR:294.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  79850[0:SpR:293.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  69366[0:SpR:9504.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.53  69379[0:SpR:6936.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(v,w))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.53  19683[0:SpL:5744.1,591.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  19428[0:SpR:593.1,5744.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(w,v)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  19442[0:SpR:5744.1,593.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  39446[0:Res:437.0,1650.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  39575[0:SpL:12553.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(hAPP(c_Int_Onat,skf60(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  39574[0:SpL:12552.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(hAPP(c_Int_Onat,skf57(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  39573[0:SpL:12551.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(hAPP(c_Int_Onat,skf48(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  39576[0:SpL:12664.0,12943.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))))* -> equal(hAPP(c_Int_Onat,skf47(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  19688[0:SpL:5744.1,591.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  24143[0:SpR:3690.1,11363.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(skf44(u,v)),v)*.
% 299.87/300.53  21711[0:SpL:3690.1,10132.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf50(skf44(u,v)),v) -> equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  55567[0:Obv:55526.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)))*.
% 299.87/300.53  47950[0:Rew:2545.0,47842.1] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),w)**.
% 299.87/300.53  77059[0:MRR:76899.4,251.0] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)).
% 299.87/300.53  77058[0:MRR:76900.4,251.0] class_Power_Opower(u) || SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)).
% 299.87/300.53  77077[0:MRR:77076.1,1981.0] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)* -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.53  41739[0:Res:11908.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),w)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41680[0:Res:18628.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),w)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  48252[0:Res:12638.1,286.0] || hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_fequal(u),v))),v)** equal(u,hAPP(c_Int_Onat,v)).
% 299.87/300.53  41387[0:Res:1649.2,286.0] || hBOOL(hAPP(c_fequal(u),v)) -> hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(v,c_fequal(u))),u)**.
% 299.87/300.53  41740[0:Res:25418.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),w)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41681[0:Res:25611.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),w)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  19445[0:SpL:593.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)*.
% 299.87/300.53  19444[0:SpL:593.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)*.
% 299.87/300.53  39710[0:SpL:12664.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* -> equal(hAPP(c_Int_Onat,skf47(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  39709[0:SpL:12553.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* -> equal(hAPP(c_Int_Onat,skf60(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  39708[0:SpL:12552.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* -> equal(hAPP(c_Int_Onat,skf57(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  39707[0:SpL:12551.0,12944.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* -> equal(hAPP(c_Int_Onat,skf48(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  71689[0:SpL:550.1,24466.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  41758[0:Res:348.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.53  41649[0:Res:16882.1,735.0] || equal(u,v)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.53  42002[0:SpR:3705.1,6936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(u,v))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  44020[0:SpR:8586.1,742.0] ||  -> SkP0(u,v)* equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Int_Onat),z),u),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(z,u)))**.
% 299.87/300.53  44018[0:SpR:18711.1,742.0] ||  -> SkP0(u,v)* equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Int_Onat),z),v),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(z,v)))**.
% 299.87/300.53  44001[0:SpR:283.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y),x),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,x)))**.
% 299.87/300.53  43888[0:SpR:8586.1,742.0] ||  -> SkP0(u,v)* equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Int_Onat),u),hAPP(hAPP(z,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  43886[0:SpR:18711.1,742.0] ||  -> SkP0(u,v)* equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Int_Onat),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  43869[0:SpR:283.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  46718[0:SpL:3704.0,3733.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),v)** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  46537[0:SpL:3703.0,3733.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),u)** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  41844[0:Res:10604.1,735.0] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Orderings_Oord__class_OLeast(u,c_fNot),v)),c_Orderings_Oord__class_OLeast(u,c_fNot)))*.
% 299.87/300.53  41629[0:Res:6728.1,735.0] || equal(skf48(c_fequal(u)),skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  59135[0:MRR:59134.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,v)),u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  59111[4:Res:41857.1,915.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,v)),u))* equal(skf55(hAPP(c_Nat_OSuc,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  68893[0:Rew:307.0,68820.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  68809[0:SpR:3724.0,6936.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  68794[0:SpR:3724.0,6937.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71805[0:Res:12782.1,24466.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  71704[0:SpL:505.1,24466.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71705[0:SpL:506.1,24466.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  77055[0:MRR:77038.2,251.0] || SkP2(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  77057[0:MRR:76907.3,251.0] || SkP2(c_Power_Opower_Opower(u,v,w),x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* SkP1(c_Power_Opower_Opower(u,v,w),x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(v).
% 299.87/300.53  77075[0:MRR:77074.1,1981.0] || SkP2(c_Nat_Onat_Onat__case(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),x)* -> hBOOL(hAPP(v,x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)).
% 299.87/300.53  80466[0:Rew:276.0,80389.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  66858[4:Rew:66857.1,66791.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  55421[0:Res:54454.1,12635.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),skf49(c_Int_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  51430[4:MRR:51312.1,8759.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  51405[8:Res:19253.1,12635.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  51407[3:Res:5849.1,12635.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),skf47(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  51408[0:Res:5848.1,12635.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),skf60(c_Int_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  51571[0:Res:428.2,832.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  51572[0:Res:1639.2,832.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  29312[0:Res:5871.1,12641.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  55063[0:SSi:55023.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.53  54589[0:SSi:54563.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.53  26897[0:Res:585.1,25511.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  26878[0:Res:585.1,25510.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  26507[0:Res:585.1,25508.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  26529[0:Res:585.1,25509.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  55079[0:Res:54122.0,824.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Int_Oring__1__class_Oof__int(u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 299.87/300.53  28788[0:Res:11853.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.53  53825[0:SpR:1878.0,825.2] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))*.
% 299.87/300.53  41938[0:MRR:41827.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,u),v)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.53  25500[0:Res:1911.1,21720.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,u))),hAPP(c_Int_Onat,u))**.
% 299.87/300.53  47356[0:SSi:47320.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.87/300.53  29310[0:Res:5870.1,12641.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  67472[0:Res:40052.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.53  55147[0:SSi:55097.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.53  54980[0:SSi:54938.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.53  45242[0:SSi:45229.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* -> .
% 299.87/300.53  55628[0:Res:55294.0,824.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Int_Oring__1__class_Oof__int(u,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 299.87/300.53  56880[0:Res:55281.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.53  62060[0:Rew:44971.0,62054.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),u)** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  55499[0:Res:54466.1,839.0] || equal(skf62(c_fNot,u),skf49(c_fNot))** -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  53281[0:SpR:285.0,12637.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_COMBK(w,x),u),v))),v)**.
% 299.87/300.53  64268[0:SSi:64241.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(skf48(c_fequal(skf64(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))**.
% 299.87/300.53  53346[0:Res:12637.0,288.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_fconj,v),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  53394[0:Res:12637.0,2538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,hAPP(c_Int_Onat,u))),u))),u)**.
% 299.87/300.53  53407[0:Res:12637.0,286.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(c_fequal(v),u))),u)** equal(v,hAPP(c_Int_Onat,u)).
% 299.87/300.53  45591[0:Res:474.1,786.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.53  45175[0:Res:788.1,475.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  53446[0:Res:12637.1,429.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(u,v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  51658[0:Res:428.2,830.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  51661[0:Res:1639.2,830.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  16533[0:Res:539.1,4191.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  43999[0:SpR:268.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),y),hAPP(y,hAPP(x,y)))*.
% 299.87/300.53  43867[0:SpR:268.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),y),hAPP(hAPP(x,y),y))*.
% 299.87/300.53  27601[0:SpR:2673.1,3721.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  27792[0:SpL:2673.1,3730.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.53  55385[0:SSi:55363.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  55262[0:SSi:55228.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))*.
% 299.87/300.53  45131[0:SSi:45053.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.53  30103[0:SSi:30102.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  29955[0:SSi:29954.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.53  55470[0:SSi:55446.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  55351[0:SSi:55313.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))*.
% 299.87/300.53  15959[0:Rew:550.1,15942.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.53  17584[0:SpL:13147.1,12604.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  17523[0:SpR:13147.1,12555.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  19202[0:SpL:5744.1,1620.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.53  19199[0:SpL:5744.1,1620.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.53  19189[0:SpL:5744.1,1620.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.53  25232[0:Res:579.1,9627.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  55719[0:Obv:55681.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)))*.
% 299.87/300.53  51883[2:MRR:30389.2,51857.1] class_Rings_Oring__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.53  5343[0:SpL:393.1,4191.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.53  7028[0:SpL:418.0,4191.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))))*.
% 299.87/300.53  41691[0:Res:18627.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41709[0:Res:18629.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41710[0:Res:3279.0,735.0] ||  -> SkP0(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  43583[0:SpR:242.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_OSuc,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.53  44002[0:SpR:1618.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x)),y),x),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(y,x)))**.
% 299.87/300.53  43870[0:SpR:1618.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),y)),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.53  50972[0:SpL:448.2,50956.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf46(c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) hBOOL(skf46(c_Groups_Ouminus__class_Ouminus(u))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.53  71691[0:SpL:553.1,24466.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  111888[18:MRR:29255.1,111803.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v))*.
% 299.87/300.53  111889[18:MRR:51289.1,111803.0] || equal(skf48(c_fequal(skf58(c_Nat_OSuc))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Nat_OSuc,u)).
% 299.87/300.53  111890[18:MRR:51310.1,111803.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  116037[0:SpL:108628.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.53  116028[0:SpL:108628.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u).
% 299.87/300.53  144149[18:Res:111821.1,12635.0] || equal(skf48(c_fequal(skf58(c_Nat_OSuc))),skf49(c_Nat_OSuc)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Nat_OSuc,u)).
% 299.87/300.53  150341[0:Res:63058.1,12641.0] || SkP0(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  150684[4:Res:150394.1,12635.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),skf47(c_Int_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  152840[2:Res:63093.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),u))* -> hBOOL(u) equal(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u).
% 299.87/300.53  157830[0:Res:579.1,56233.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),hAPP(c_Nat_OSuc,u)))* -> equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),hAPP(c_Nat_OSuc,u)).
% 299.87/300.53  163245[2:Res:161748.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> hBOOL(u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u).
% 299.87/300.53  168426[0:Res:301.0,1031.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)).
% 299.87/300.53  169163[2:Res:163264.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(u) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.53  169795[0:SSi:169780.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w)).
% 299.87/300.53  170048[0:MRR:169989.0,218.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.53  170392[0:Res:211.1,1007.1] || hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(skf68(c_fNot,u,v))* hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  170471[4:MRR:170470.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf68(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170475[4:MRR:170474.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170477[4:MRR:170476.1,8759.0] class_Groups_Omonoid__mult(u) || hBOOL(skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170479[4:MRR:170478.1,8759.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170484[4:MRR:170483.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170486[4:MRR:170485.1,8759.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170488[4:MRR:170487.1,8759.0] class_Groups_Omonoid__add(u) || hBOOL(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170780[0:Res:211.1,1010.1] || hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(skf67(c_fNot,u,v))* hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  170861[4:MRR:170860.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf67(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170865[4:MRR:170864.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170867[4:MRR:170866.1,8759.0] class_Groups_Omonoid__mult(u) || hBOOL(skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170869[4:MRR:170868.1,8759.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170874[4:MRR:170873.1,8759.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170876[4:MRR:170875.1,8759.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  170878[4:MRR:170877.1,8759.0] class_Groups_Omonoid__add(u) || hBOOL(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.53  171130[0:SSi:171121.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  172155[0:SSi:172145.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.87/300.53  172156[0:SSi:172136.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.87/300.53  172270[0:Rew:172269.2,172232.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u))),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  172279[0:SSi:172278.1,133.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  172428[0:SpR:1064.1,509.1] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  172427[0:SpR:1064.1,507.1] class_Power_Opower(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  172527[0:SSi:172418.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  172539[0:Rew:170048.0,172511.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.53  172540[0:Rew:170048.0,172513.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.53  172632[0:SpR:1689.1,509.1] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  172631[0:SpR:1689.1,507.1] class_Groups_Omonoid__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  173265[0:Rew:363.1,173167.3] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),v)**.
% 299.87/300.53  173547[0:Rew:414.0,173537.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.87/300.53  174086[0:SSi:174079.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.53  174254[0:Rew:3728.0,174253.2] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(c_Int_Onat__aux(skf48(c_fequal(u)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> .
% 299.87/300.53  174255[0:SSi:174245.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))*.
% 299.87/300.53  174256[0:SSi:174236.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))*.
% 299.87/300.53  174319[0:SpR:614.1,1095.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w),c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  174519[0:Res:211.1,1006.0] ||  -> hBOOL(skf68(c_fNot,u,v))* hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.53  174848[0:Res:211.1,1009.0] ||  -> hBOOL(skf67(c_fNot,u,v))* hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.53  175616[0:Obv:175591.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))))*.
% 299.87/300.53  175897[0:Obv:175873.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))))*.
% 299.87/300.53  176349[0:Res:211.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* hBOOL(hAPP(c_fNot,skf41(c_fNot,x,y)))*.
% 299.87/300.53  176405[0:Rew:210.0,176173.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(skf41(c_COMBI(x),y,z))*.
% 299.87/300.53  176407[4:MRR:176190.2,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.53  176509[0:Res:176401.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))**.
% 299.87/300.53  176503[0:Res:176401.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)),u))* -> equal(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),u).
% 299.87/300.53  176511[0:Rew:3749.0,176499.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))*.
% 299.87/300.53  176533[0:Res:176487.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),x)).
% 299.87/300.53  176781[0:Res:176536.0,21720.0] ||  -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v))**.
% 299.87/300.53  176784[0:Rew:3749.0,176771.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))*.
% 299.87/300.53  177053[0:Obv:176867.0] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.53  69747[2:MRR:69509.0,4367.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.53  69624[2:Res:51888.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.53  62109[2:Res:51947.1,735.0] || equal(u,v)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.53  160430[2:Res:146400.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.53  161881[2:Res:150015.1,12641.0] || equal(hAPP(c_Int_Onat,skf48(c_fNot)),hAPP(c_Int_Onat,u))* equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.53  173662[10:MRR:173654.1,38830.0] || equal(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  173661[10:MRR:173655.1,38830.0] || equal(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  173052[10:MRR:173044.1,38830.0] || equal(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  173051[10:MRR:173045.1,38830.0] || equal(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  163772[2:SSi:163724.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),skf49(c_fNot)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.53  73180[10:SSi:73141.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.53  159814[2:Res:146401.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.87/300.53  159737[2:Res:64525.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  146393[2:Res:64591.1,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onat,u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  177557[0:Obv:177435.0] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.53  177758[0:SSi:177657.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))).
% 299.87/300.53  178323[0:SSi:178217.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))).
% 299.87/300.53  178324[0:SSi:178208.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  179048[0:SSi:178909.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  179049[0:SSi:178900.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  179050[0:SSi:178821.1,121.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  179051[0:SSi:178812.1,121.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  179331[0:SSi:179217.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,w,v)),u))**.
% 299.87/300.53  179335[0:SSi:179207.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,v)),u))**.
% 299.87/300.53  179527[0:SpR:1075.0,509.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.53  179526[0:SpR:1075.0,507.1] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.53  180020[0:Res:1909.0,1929.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  180391[0:Res:2803.1,52846.1] || equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  180390[0:Res:19039.1,52846.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(skf44(u,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))*.
% 299.87/300.53  180406[0:MRR:180369.1,300.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.87/300.53  181976[0:SSi:181936.0,139.0,107.1] || equal(u,v_cs____) equal(v,v_c____) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v),u)))* -> .
% 299.87/300.53  182580[0:MRR:182579.2,146.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),u)),u))* -> .
% 299.87/300.53  182584[0:MRR:182539.2,222.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  182925[0:MRR:182846.3,251.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.87/300.53  182926[2:MRR:182845.3,251.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> .
% 299.87/300.53  182969[0:SpL:179303.0,384.0] || hBOOL(u) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v))))))*.
% 299.87/300.53  183271[0:SpL:183186.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))).
% 299.87/300.53  183247[0:SpL:183186.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),u).
% 299.87/300.53  183331[0:SpR:1129.1,27252.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.53  183492[0:SpL:179307.0,384.0] || hBOOL(u) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v))))))*.
% 299.87/300.53  183961[0:SpR:263.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.87/300.53  184229[0:SpL:263.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.53  184553[0:MRR:184520.0,16877.0] ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),y)))*.
% 299.87/300.53  184711[0:SpL:184630.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))).
% 299.87/300.53  184687[0:SpL:184630.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),u).
% 299.87/300.53  185571[0:Rew:2545.0,185570.2,12610.0,185570.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(v)))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u),x)**.
% 299.87/300.53  185584[0:Rew:2545.0,185583.2,12610.0,185583.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),w)**.
% 299.87/300.53  185682[0:SSi:185669.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.87/300.53  185683[0:SSi:185667.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> .
% 299.87/300.53  185684[0:SSi:185665.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> SkP1(v,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  186115[8:MRR:185839.1,19248.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf48(c_fNot)) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Int_Onat,v,u)),u)**.
% 299.87/300.53  186530[8:MRR:186254.1,19248.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf48(c_fNot)) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Int_Onat,v,u)),u)**.
% 299.87/300.53  186906[0:Obv:186900.3] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(u)))* -> c_Polynomial_Opos__poly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))).
% 299.87/300.53  187112[0:SSi:187057.0,126.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.53  187115[0:SSi:186996.0,126.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),v))*.
% 299.87/300.53  187383[0:SSi:187322.0,117.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.53  187386[0:SSi:187261.0,117.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),v))*.
% 299.87/300.53  187547[0:MRR:187531.1,1881.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),v)* -> equal(u,hAPP(c_Nat_OSuc,v))*.
% 299.87/300.53  187947[0:Res:3664.0,287.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_fconj,w),v,u)),u)** hBOOL(w).
% 299.87/300.53  188081[0:Rew:2545.0,188080.2] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(skf68(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  188520[0:Res:3662.0,287.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_fconj,w),v,u)),u)** hBOOL(w).
% 299.87/300.53  188654[0:Rew:2545.0,188653.2] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(skf67(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  19018[0:Rew:551.0,19011.1] || hBOOL(hAPP(hAPP(u,skf48(v)),w))* -> hBOOL(hAPP(hAPP(u,skf60(hAPP(c_COMBC(x,y,z,u),w))),w))*.
% 299.87/300.53  19022[0:Rew:551.0,19004.1] || hBOOL(hAPP(hAPP(u,skf60(v)),w))* -> hBOOL(hAPP(hAPP(u,skf60(hAPP(c_COMBC(x,y,z,u),w))),w))*.
% 299.87/300.53  10457[0:SpL:449.1,464.1] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)))))*.
% 299.87/300.53  38391[0:Res:540.0,656.2] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)),v))* equal(c_Orderings_Oord__class_OLeast(tc_Int_Oint,u),v).
% 299.87/300.53  51048[0:Res:576.2,50956.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf46(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w))*.
% 299.87/300.53  51107[0:Rew:602.0,51027.1] || hBOOL(hAPP(u,hAPP(v,skf46(hAPP(hAPP(c_COMBB(w,x,y),u),v)))))* -> hBOOL(hAPP(u,hAPP(v,z)))*.
% 299.87/300.53  54313[0:Res:725.2,51176.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf49(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.53  54308[0:Res:576.2,51176.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.53  54005[0:SpL:745.1,51176.0] class_Groups_Oab__group__add(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf49(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)))))*.
% 299.87/300.53  54449[0:Rew:602.0,54118.1] || hBOOL(hAPP(u,hAPP(v,w)))* -> hBOOL(hAPP(u,hAPP(v,skf49(hAPP(hAPP(c_COMBB(x,y,z),u),v)))))*.
% 299.87/300.53  43850[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z),hAPP(hAPP(hAPP(c_COMBS(x1,x2,x3),x),y),z))*.
% 299.87/300.53  54107[0:SpL:742.0,51176.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z))* -> hBOOL(hAPP(hAPP(x,z),skf49(hAPP(x,z))))*.
% 299.87/300.53  43992[0:SpR:9368.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Nat_OSuc),skf50(skf64(y))),hAPP(hAPP(x,skf50(skf64(y))),skf64(y)))*.
% 299.87/300.53  44124[0:SpR:9368.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Nat_OSuc),x),skf50(skf64(y))),hAPP(skf64(y),hAPP(x,skf50(skf64(y)))))*.
% 299.87/300.53  43866[0:SpR:1607.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),y),hAPP(hAPP(x,y),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.53  23833[0:AED:109.0,23810.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.53  43849[0:SpR:742.0,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(u)),c_Nat_OSuc),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  66107[0:Obv:66077.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.53  76436[0:SpR:352.1,1004.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.53  76437[0:SpR:353.1,1004.1] class_Groups_Omonoid__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.53  76440[0:SpR:351.1,1004.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,c_Groups_Ozero__class_Ozero(u))),w),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.53  76441[0:SpR:354.1,1004.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,c_Groups_Ozero__class_Ozero(u))),w),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.53  76442[0:SpR:355.1,1004.1] class_Groups_Omonoid__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,c_Groups_Ozero__class_Ozero(u))),w),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.53  38797[0:Res:659.1,644.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.53  74042[0:Obv:73973.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u))),v))*.
% 299.87/300.53  74337[0:Obv:74321.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.87/300.53  54314[0:Res:724.2,51176.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf49(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.53  38669[0:Res:659.1,648.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.53  39076[0:Res:659.1,647.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.53  43240[0:Res:725.2,583.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.53  74179[0:Obv:74137.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u))),v))*.
% 299.87/300.53  74512[0:Obv:74491.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u))))*.
% 299.87/300.53  72550[0:SpR:1659.1,507.1] class_Rings_Oring(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.53  54037[0:SpL:554.1,51176.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v))))*.
% 299.87/300.53  15329[0:SpL:496.1,384.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_Osmult(u),v)))))*.
% 299.87/300.53  43824[0:SpR:742.0,553.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u))),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  40148[0:Res:694.1,693.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.53  40053[0:Res:692.1,695.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))).
% 299.87/300.53  72676[0:Rew:72675.2,71048.2] class_Rings_Oring(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.53  72675[0:Rew:1661.1,72674.2] class_Rings_Oring(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))**.
% 299.87/300.53  42359[0:SpL:687.1,586.1] class_Rings_Ocomm__ring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.53  65692[0:Res:507.1,938.1] class_Rings_Odvd(u) class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 299.87/300.53  54087[0:SpL:495.1,51176.0] class_Groups_Ozero(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),skf49(hAPP(c_Polynomial_OpCons(u),skf37(u,v)))))*.
% 299.87/300.53  42867[0:Rew:691.1,42848.2] class_Lattices_Oboolean__algebra(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(w,x))),hAPP(w,x))**.
% 299.87/300.53  48856[0:SpL:746.1,464.1] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(w)* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),x))))*.
% 299.87/300.53  10479[0:SpL:394.1,464.1] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))))*.
% 299.87/300.53  42868[0:Rew:691.1,42847.2] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(w,x))),hAPP(w,x))**.
% 299.87/300.53  48479[0:AED:109.0,48468.1] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_Osmult(u),v)))))*.
% 299.87/300.53  58606[0:SpL:565.1,905.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Oone__class_Oone(u)).
% 299.87/300.53  57308[0:SpR:878.1,541.2] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,w)) -> c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  72824[0:SpR:999.1,507.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.53  71528[0:SpR:71409.1,815.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.53  71318[0:SpR:997.1,687.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.53  62042[0:SSi:62041.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> equal(skf48(c_fequal(hAPP(c_Nat_OSuc,skf61(u,v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))**.
% 299.87/300.53  62033[0:SpL:12672.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.87/300.53  60466[0:SpL:12636.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.87/300.53  65849[0:SpR:412.0,931.1] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))**.
% 299.87/300.53  54447[0:AED:109.0,54008.1] class_Groups_Ozero(u) || hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),skf49(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))))*.
% 299.87/300.53  41409[0:Rew:411.1,41344.3] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  10467[0:SpL:313.1,464.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  26557[0:SpL:12933.0,334.0] || hBOOL(hAPP(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),w))* -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))),v,w).
% 299.87/300.53  39272[0:SpL:617.2,334.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> equal(w,x) SkP2(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,w)),x,v)*.
% 299.87/300.53  70149[0:Obv:70095.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v))**.
% 299.87/300.53  74630[0:SpL:393.1,953.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),v))*.
% 299.87/300.53  73357[0:SpR:393.1,954.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  74767[0:SpL:393.1,951.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))*.
% 299.87/300.53  73506[0:SpR:393.1,952.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  15962[0:Rew:550.1,15937.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.53  43998[0:SpR:1607.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),x),y),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(x,y)))**.
% 299.87/300.53  28230[0:SpL:5744.1,12642.0] || equal(u,v)* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.53  29326[0:Res:428.2,12641.0] class_Orderings_Oorder(u) || equal(v,hAPP(c_Int_Onat,w))* equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.53  29327[0:Res:1639.2,12641.0] class_Orderings_Olinorder(u) || equal(v,hAPP(c_Int_Onat,w))* equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.53  29236[0:SpL:5744.1,12641.0] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(w,u))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(w,x))*.
% 299.87/300.53  17603[0:SpL:13147.1,3752.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(skf48(c_fequal(w)),x),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))* -> equal(w,u)*.
% 299.87/300.53  26579[0:Rew:12933.0,26547.1] || equal(u,v) -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))))*.
% 299.87/300.53  26556[0:SpR:5744.1,12933.0] || equal(u,skf48(c_fequal(v))) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))))*.
% 299.87/300.53  26582[0:Rew:12933.0,26537.1] || equal(u,v) -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),u))))*.
% 299.87/300.53  28233[0:SpL:5744.1,12642.0] || equal(u,skf48(c_fequal(v)))* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.53  17524[0:SpR:13147.1,3753.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  76297[0:SSi:76272.0,122.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  39323[0:Obv:39310.0] class_Groups_Ozero(u) || equal(v,c_Polynomial_Omonom(u,w,x))* equal(x,y)* -> equal(hAPP(c_Polynomial_Ocoeff(u,v),y),w)*.
% 299.87/300.53  39314[0:SpL:616.2,334.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(x,y)) -> SkP2(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w,y)*.
% 299.87/300.53  30515[0:SpL:607.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP2(c_Polynomial_Opoly(u,v),x,w)*.
% 299.87/300.53  39281[0:Obv:39268.0] class_Groups_Ozero(u) || equal(v,c_Polynomial_Omonom(u,w,x))* -> equal(x,y)* equal(hAPP(c_Polynomial_Ocoeff(u,v),y),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  55721[0:SSi:55680.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.53  55723[0:SSi:55678.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.53  56748[0:SSi:56715.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56344[0:SSi:56302.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.53  56750[0:SSi:56713.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56346[0:SSi:56300.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.53  56753[0:SSi:56697.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf60(u)))*.
% 299.87/300.53  56349[0:SSi:56284.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf60(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.53  56755[0:SSi:56695.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf48(u)))*.
% 299.87/300.53  56351[0:SSi:56282.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf48(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.53  56862[0:SSi:56816.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56483[0:SSi:56445.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.53  56864[0:SSi:56814.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56485[0:SSi:56443.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.53  39035[0:SpL:5744.1,647.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> .
% 299.87/300.53  38758[0:SpL:5744.1,644.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> .
% 299.87/300.53  38634[0:SpL:5744.1,648.1] class_Orderings_Olinorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> .
% 299.87/300.53  38381[0:SpL:5744.1,656.2] class_Orderings_Owellorder(u) || equal(v,c_Orderings_Oord__class_OLeast(u,w))* hBOOL(hAPP(w,x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* -> .
% 299.87/300.53  38842[0:SpL:5744.1,653.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> .
% 299.87/300.53  38431[0:SpL:5744.1,655.1] class_Orderings_Olinorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> .
% 299.87/300.53  54960[0:Res:864.2,467.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> .
% 299.87/300.53  54961[0:Res:864.2,469.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> .
% 299.87/300.53  28354[0:SpR:5744.1,659.1] class_Rings_Olinordered__semidom(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.53  28343[0:SpR:5744.1,659.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),v)))*.
% 299.87/300.53  28341[0:SpR:5744.1,659.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.53  55337[0:Res:866.2,467.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> .
% 299.87/300.53  55338[0:Res:866.2,469.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> .
% 299.87/300.53  49943[0:SpR:748.2,526.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__semidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  49802[0:SpR:752.2,526.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__semidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  56834[0:Res:833.2,467.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* equal(c_Int_Oring__1__class_Oof__int(u,w),c_Int_Oring__1__class_Oof__int(u,v))* -> .
% 299.87/300.53  56835[0:Res:833.2,469.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* -> .
% 299.87/300.53  79758[0:Res:1049.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))* -> .
% 299.87/300.53  64633[0:Res:428.2,933.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  64634[0:Res:1639.2,933.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  64513[0:Res:428.2,935.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.53  64516[0:Res:1639.2,935.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.53  58614[0:Obv:58608.0] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Polynomial_Omonom(u,x,hAPP(c_Nat_OSuc,y)))* -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  30460[0:SpL:608.2,334.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)*.
% 299.87/300.53  29932[0:SpL:613.2,334.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w)*.
% 299.87/300.53  30376[0:SpL:609.2,334.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),x),v,w)*.
% 299.87/300.53  29428[0:Rew:602.0,29291.2] || hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,w))))* equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(u,hAPP(v,x)))*.
% 299.87/300.53  29426[0:Rew:551.0,29289.2] || hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,v)),w))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(u,x),w))*.
% 299.87/300.53  69482[0:SpL:3732.0,3665.0] || hBOOL(hAPP(u,v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(u,x))*.
% 299.87/300.53  29772[0:SpL:615.2,334.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w)*.
% 299.87/300.53  59305[0:Res:59153.0,21751.0] || equal(skf44(skf51(skf64(u),v),skf64(u)),w)* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf51(skf64(u),v)),skf64(u))**.
% 299.87/300.53  56927[0:Res:42911.0,21751.0] || equal(skf44(skf55(skf64(u),v),skf64(u)),w)* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf55(skf64(u),v)),skf64(u))**.
% 299.87/300.53  17883[0:SpR:13147.1,3754.1] || equal(skf48(c_fequal(u)),v)* equal(w,u)* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),x),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))*.
% 299.87/300.53  56910[0:Res:3623.0,21751.0] || equal(skf44(u,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.53  56909[0:Res:7319.0,21751.0] || equal(skf44(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u))),w)* -> equal(c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.53  56905[0:Res:7318.0,21751.0] || equal(skf44(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),v)* -> equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.53  39315[0:SpL:616.2,333.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(x,y)) -> SkP1(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w,y)*.
% 299.87/300.53  30516[0:SpL:607.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP1(c_Polynomial_Opoly(u,v),x,w)*.
% 299.87/300.53  26558[0:SpL:12933.0,333.0] || hBOOL(hAPP(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),w))* -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))),v,w).
% 299.87/300.53  29933[0:SpL:613.2,333.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w)*.
% 299.87/300.53  30377[0:SpL:609.2,333.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),x),v,w)*.
% 299.87/300.53  30461[0:SpL:608.2,333.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)*.
% 299.87/300.53  29773[0:SpL:615.2,333.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w)*.
% 299.87/300.53  39273[0:SpL:617.2,333.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> equal(w,x) SkP1(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,w)),x,v)*.
% 299.87/300.53  61478[0:SpL:3654.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(w,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))).
% 299.87/300.53  26138[0:SpL:15222.0,650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))).
% 299.87/300.53  25863[0:SpR:15222.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  61317[0:SpR:3632.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(v,w)))*.
% 299.87/300.53  59365[0:SpR:3654.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(v,w)))*.
% 299.87/300.53  27683[0:SpR:6450.1,3722.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(v,x)))*.
% 299.87/300.53  61505[0:SpL:3749.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.53  61465[0:SpL:3749.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.53  27500[0:SpR:2135.1,3682.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.53  59392[0:SpR:3749.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  27818[0:Res:3722.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.53  27694[0:SpR:2135.1,3722.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.53  27687[0:SpR:3754.1,3722.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.53  59352[0:SpR:3749.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.53  27689[0:SpR:3753.0,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  27496[0:SpR:13412.1,3682.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.53  27799[0:SpL:6450.1,3730.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.53  27803[0:SpL:3754.1,3730.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.53  27808[0:SpL:2135.1,3730.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))*.
% 299.87/300.53  56655[0:SSi:56623.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)))*.
% 299.87/300.53  56227[0:SSi:56203.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.53  38392[0:Res:12782.1,656.2] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Orderings_Oord__class_OLeast(tc_Int_Oint,v))))* hBOOL(hAPP(v,skf48(c_fequal(u)))) -> .
% 299.87/300.53  26998[0:SpL:12874.1,12783.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w)))*.
% 299.87/300.53  26904[0:SpR:12874.1,12782.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.53  26023[0:SpL:2135.1,642.0] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.53  26141[0:SpL:5744.1,650.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.53  25866[0:SpR:5744.1,651.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  26147[0:SpL:15222.0,650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)).
% 299.87/300.53  25872[0:SpR:15222.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  26149[0:SpL:2135.1,650.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.53  26132[0:SpL:5744.1,650.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  25857[0:SpR:5744.1,651.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.53  61579[0:MRR:61479.0,3730.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,skf52(u,w)))).
% 299.87/300.53  27020[0:Res:540.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* equal(u,skf48(c_fequal(v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.53  27502[0:SpR:5744.1,3682.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))*.
% 299.87/300.53  27805[0:SpL:3753.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w)).
% 299.87/300.53  56633[0:Res:844.2,467.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Nat_Osemiring__1__class_Oof__nat(u,v))* -> .
% 299.87/300.53  56634[0:Res:844.2,469.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))* -> .
% 299.87/300.53  26703[0:SpR:12874.1,12935.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(w))))*.
% 299.87/300.53  26643[0:SpL:12874.1,12934.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.53  27696[0:SpR:5744.1,3722.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))*.
% 299.87/300.53  27810[0:SpL:5744.1,3730.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  26691[0:SpR:12874.1,12935.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),skf48(c_fequal(u))))*.
% 299.87/300.53  26631[0:SpL:12874.1,12934.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  26151[0:SpL:5744.1,650.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  25876[0:SpR:5744.1,651.1] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),u))*.
% 299.87/300.53  27484[0:SpR:18347.0,3682.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))))*.
% 299.87/300.53  61398[0:Res:3764.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.53  59433[0:Res:3759.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  75021[0:Res:375.0,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.87/300.53  68061[0:Res:1608.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v))*.
% 299.87/300.53  26759[0:SpL:12874.1,12937.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  26747[0:SpL:12874.1,12937.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  26768[0:SpL:5744.1,12937.0] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  75009[0:Res:1608.1,992.1] class_Lattices_Oboolean__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.87/300.53  27955[0:SpL:18347.0,3739.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),w)).
% 299.87/300.53  27397[0:SpR:18347.0,3681.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))))*.
% 299.87/300.53  27409[0:SpR:13412.1,3681.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.53  59828[0:SpR:3654.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,w)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  59815[0:SpR:3749.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  59788[0:SpR:3654.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(v,w)))*.
% 299.87/300.53  59775[0:SpR:3749.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.53  27980[0:Res:3721.1,3739.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.53  28138[0:Res:3721.1,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.53  26863[0:SpR:5744.1,12938.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),u))*.
% 299.87/300.53  26842[0:SpR:12874.1,12938.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),skf48(c_fequal(u))))*.
% 299.87/300.53  26854[0:SpR:12874.1,12938.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(w))))*.
% 299.87/300.53  27619[0:SpR:5744.1,3721.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))*.
% 299.87/300.53  27413[0:SpR:5744.1,3681.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))*.
% 299.87/300.53  61206[0:SpR:3632.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.53  27612[0:SpR:3754.1,3721.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.53  27614[0:SpR:3753.0,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.53  61166[0:SpR:3632.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(v,w)))*.
% 299.87/300.53  28118[0:SpL:6450.1,3740.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(v,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.53  27608[0:SpR:6450.1,3721.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(v,x)))*.
% 299.87/300.53  69405[0:Rew:18347.0,69369.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),skf64(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  27970[0:SpL:5744.1,3739.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))*.
% 299.87/300.53  28128[0:SpL:5744.1,3740.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.53  61696[0:SpL:3749.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.53  61709[0:SpL:3654.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(w,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))).
% 299.87/300.53  61749[0:SpL:3654.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w)).
% 299.87/300.53  61736[0:SpL:3749.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)).
% 299.87/300.53  28122[0:SpL:3754.1,3740.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.53  27967[0:SpL:13412.1,3739.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.53  20946[0:Res:579.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf60(v)))* -> equal(u,skf60(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  20952[0:Res:579.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(v)))* -> equal(u,skf48(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  20928[0:Res:579.1,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)) -> equal(u,hAPP(c_Nat_OSuc,v)).
% 299.87/300.53  20915[0:SpR:9487.0,579.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) equal(skf50(skf64(u)),v).
% 299.87/300.53  41415[0:MRR:41354.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.53  68027[0:Res:382.1,974.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.87/300.53  62378[0:SpR:21745.1,437.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf44(u,v))),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.53  38328[0:SpL:5744.1,619.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,w)* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  66223[0:SSi:66222.1,114.1] class_Rings_Oidom(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  30082[0:SpL:5744.1,612.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  30085[0:SpL:5744.1,612.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  39261[0:SpR:617.2,5744.1] class_Groups_Ozero(u) || equal(v,w)* -> equal(x,w)* equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,x)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  39212[0:Obv:39211.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,w)* equal(c_Polynomial_Opoly(u,x),c_Polynomial_Opoly(u,v))* -> equal(x,w)*.
% 299.87/300.53  28929[0:SpL:5744.1,632.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> equal(v,w).
% 299.87/300.53  28770[0:SpL:5744.1,636.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> equal(v,w).
% 299.87/300.53  60677[0:SpR:3632.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(w,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,w)))**.
% 299.87/300.53  25727[0:SpR:15222.0,682.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,w)))**.
% 299.87/300.53  60716[0:SpR:3749.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.53  60717[0:SpR:3632.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),c_Int_Onat__aux(skf48(c_fequal(w)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),w))**.
% 299.87/300.53  60069[0:SpL:3761.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(w)),v)).
% 299.87/300.53  60070[0:SpL:3761.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(w)),v)).
% 299.87/300.53  60676[0:SpR:3749.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.53  80320[0:Res:1017.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x))*.
% 299.87/300.53  60805[0:Rew:60677.0,60687.1] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(c_Int_Onat,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))*.
% 299.87/300.53  22236[0:SpL:3690.1,6391.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(w,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),skf44(u,v)),u)**.
% 299.87/300.53  60787[0:Rew:60717.0,60727.1] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))*.
% 299.87/300.53  80386[0:SpR:4392.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.53  25709[0:SpR:682.0,5744.1] || equal(u,hAPP(c_Nat_OSuc,v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u))*.
% 299.87/300.53  68315[0:Res:1608.1,3680.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))).
% 299.87/300.53  59230[0:Res:437.0,914.0] || equal(u,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.53  68325[0:Res:375.0,3680.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))).
% 299.87/300.53  80450[0:Res:1016.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))*.
% 299.87/300.53  16297[0:Res:348.0,12183.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u)),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u)),v)))))*.
% 299.87/300.53  17359[0:Res:348.0,12538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u)),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u)),v)))))*.
% 299.87/300.53  68568[0:Res:1608.0,3696.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u)).
% 299.87/300.53  80256[0:SpR:4392.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.53  61446[4:Res:740.1,43033.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.53  60747[0:SpL:3762.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.53  60748[0:SpL:3762.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.53  25742[0:SpL:682.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v),w)*.
% 299.87/300.53  25741[0:SpL:682.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v),w)*.
% 299.87/300.53  74458[0:Rew:3753.0,74457.0,3753.0,74457.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))))*.
% 299.87/300.53  80251[0:SpR:347.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))),v))*.
% 299.87/300.53  40667[0:Res:740.1,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> .
% 299.87/300.53  25736[0:SpR:15222.0,682.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,v)),w))**.
% 299.87/300.53  25738[0:SpR:5744.1,682.0] || equal(u,hAPP(c_Nat_OSuc,v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))*.
% 299.87/300.53  79937[0:Res:1028.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))*.
% 299.87/300.53  78849[0:SpR:1059.0,46475.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.53  62837[0:SpL:418.0,929.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,u)))* -> equal(v,w).
% 299.87/300.53  63624[4:SpR:3703.0,24689.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  46642[0:SpR:3704.0,3632.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Int_Onat,v)),c_Int_Onat__aux(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,v))))*.
% 299.87/300.53  46462[0:SpR:3703.0,3632.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)))*.
% 299.87/300.53  46775[0:Rew:3704.0,46674.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w))*.
% 299.87/300.53  63625[4:SpR:3704.0,24689.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.53  80096[0:Res:1026.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))*.
% 299.87/300.53  71412[0:Rew:999.1,71319.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> SkP1(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))*.
% 299.87/300.53  80016[0:SpR:313.1,1026.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),v))*.
% 299.87/300.53  80657[0:SpL:313.1,1032.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.53  79857[0:SpR:313.1,1028.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))*.
% 299.87/300.53  80701[4:Res:42157.0,1032.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.53  65848[0:SpR:418.0,931.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))**.
% 299.87/300.53  46336[0:SpR:12553.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf60(u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf60(u)),skf48(c_fequal(v)))).
% 299.87/300.53  46334[0:SpR:12551.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(u)),skf48(c_fequal(v)))).
% 299.87/300.53  47425[0:SSi:47419.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v).
% 299.87/300.53  47427[0:SSi:47418.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u).
% 299.87/300.53  46323[0:SpR:12553.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf60(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf60(v)))*.
% 299.87/300.53  46321[0:SpR:12551.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(v)))*.
% 299.87/300.53  46386[0:SpL:12551.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(v)))).
% 299.87/300.53  46388[0:SpL:12553.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf60(v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf60(v)))).
% 299.87/300.53  46399[0:SpL:12551.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(u))),v))*.
% 299.87/300.53  46401[0:SpL:12553.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf60(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf60(u))),v))*.
% 299.87/300.53  46842[0:SpL:3654.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)).
% 299.87/300.53  46940[0:SpR:3654.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(u,v)))*.
% 299.87/300.53  46252[0:Rew:12953.0,46198.1] || equal(u,v) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.53  46246[0:Rew:12953.0,46211.1] || equal(u,v) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.53  46199[0:SpR:12551.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf48(v))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf48(v)))**.
% 299.87/300.53  46212[0:SpR:12551.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(u))),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u)),skf48(c_fequal(v))))**.
% 299.87/300.53  46201[0:SpR:12553.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf60(v))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf60(v)))**.
% 299.87/300.53  46214[0:SpR:12553.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,skf60(u))),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u)),skf48(c_fequal(v))))**.
% 299.87/300.53  26652[0:SpL:5744.1,12934.0] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  27007[0:SpL:5744.1,12783.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  56867[0:SSi:56798.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf60(u)))*.
% 299.87/300.53  26913[0:SpR:5744.1,12782.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),u))*.
% 299.87/300.53  26712[0:SpR:5744.1,12935.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),u))*.
% 299.87/300.53  56490[0:SSi:56425.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf48(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.53  56488[0:SSi:56427.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf60(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.53  56869[0:SSi:56796.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf48(u)))*.
% 299.87/300.53  47072[0:SpL:15222.0,12673.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.53  66286[0:Obv:66254.4] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Ono__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  66219[0:Obv:66187.4] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.53  39302[0:SpR:616.2,5744.1] class_Groups_Ozero(u) || equal(v,w)* equal(x,w)* -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,v)),x),y)**.
% 299.87/300.53  39192[0:Obv:39182.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,w)* equal(x,w)* -> equal(c_Polynomial_Opoly(u,x),c_Polynomial_Opoly(u,v))*.
% 299.87/300.53  57712[0:SSi:57606.1,113.1] class_Rings_Oidom(u) || equal(v,w)* equal(w,c_Groups_Oone__class_Oone(u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  30459[0:SpR:5744.1,608.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,w)* equal(w,c_Groups_Ozero__class_Ozero(u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  29931[0:SpR:5744.1,613.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  29771[0:SpR:5744.1,615.2] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,w) equal(w,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  30337[0:SpR:609.2,5744.1] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(w,v)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  29907[0:SpR:613.2,5744.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  29736[0:SpR:615.2,5744.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(w,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  24383[0:SpL:448.2,561.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v)* -> equal(w,v).
% 299.87/300.53  24332[0:SpL:448.2,570.1] class_Groups_Olinordered__ab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v)* -> equal(w,v).
% 299.87/300.53  29207[0:SpL:5744.1,12641.0] || equal(u,v)* hBOOL(hAPP(w,hAPP(c_Int_Onat,u)))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(w,x))*.
% 299.87/300.53  30343[0:SpR:609.2,615.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(v,c_Groups_Oone__class_Oone(u)) -> equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  68887[0:Rew:22545.0,68836.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))**.
% 299.87/300.53  62825[0:SpL:313.1,929.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(c_Nat_OSuc,u))** -> equal(v,hAPP(c_Nat_OSuc,u)).
% 299.87/300.53  43244[0:Res:725.2,435.1] class_Rings_Olinordered__idom(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  43137[0:Res:724.2,435.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  78848[4:SpR:1059.0,54406.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.53  26025[0:SpL:5744.1,642.0] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.53  25995[0:SpL:5744.1,642.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.53  61357[0:SpR:3632.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.53  59405[0:SpR:3654.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,w)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  61518[0:SpL:3654.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w)).
% 299.87/300.53  19754[0:SpL:2872.0,1629.0] || hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)).
% 299.87/300.53  19503[0:SpR:2872.0,1630.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v))*.
% 299.87/300.53  26009[0:SpL:5744.1,642.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.53  66634[0:Rew:3723.1,66573.2] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.53  66601[0:SpL:3723.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> SkP2(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))*.
% 299.87/300.53  66602[0:SpL:3723.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> SkP1(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))*.
% 299.87/300.53  42423[0:SpR:736.1,594.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v))),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  43554[0:SpR:2526.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,hAPP(c_Int_Onat,w),hAPP(v,x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)),x))**.
% 299.87/300.53  71937[0:SpL:959.1,586.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.53  42458[0:Rew:736.1,42431.3] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  42424[0:SpR:736.1,558.2] class_Rings_Osemiring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  42440[0:SpL:736.1,557.1] class_Rings_Osemiring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  67675[15:SpR:67570.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(t_a,v_cs____),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(t_a,v_cs____),v,c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.53  42105[0:Rew:2544.0,42052.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf52(u,v))),v)**.
% 299.87/300.53  44148[0:SpL:742.0,462.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(x,y),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  40978[0:SpR:9385.1,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  79899[0:SpR:313.1,1028.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.53  80058[0:SpR:313.1,1026.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.53  42263[0:Rew:2544.0,42211.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)) equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)),v)**.
% 299.87/300.53  80615[0:SpL:313.1,1032.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.53  69149[0:Rew:18347.0,69088.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),skf64(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.53  68573[0:Rew:18347.0,68537.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),skf64(v)))*.
% 299.87/300.53  26461[0:SpL:13412.1,3744.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.87/300.53  69719[0:Rew:22545.0,69491.1] || hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))),skf64(w))** -> hBOOL(hAPP(u,v))*.
% 299.87/300.53  26449[0:SpL:18347.0,3744.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf50(skf64(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  56729[0:Res:835.2,1621.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))* -> .
% 299.87/300.53  72105[0:SpL:957.1,461.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  55656[0:SpR:837.1,1637.1] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.53  72106[0:SpL:957.1,462.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  80381[0:SpR:347.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)),v))*.
% 299.87/300.53  68353[0:Rew:18347.0,68290.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))))*.
% 299.87/300.53  50727[0:Res:1925.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> .
% 299.87/300.53  50663[0:SpL:687.1,1927.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.53  53660[0:Res:1914.2,467.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.53  53661[0:Res:1914.2,469.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.53  64463[2:Rew:1878.0,64371.1] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.53  77406[0:Res:346.0,1898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf66(u,v)),skf65(u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf66(u,v))) -> .
% 299.87/300.53  42343[0:SpR:687.1,555.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.53  26454[0:SpL:6450.1,3744.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  26458[0:SpL:3754.1,3744.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  78188[2:SpR:1078.0,72120.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))*.
% 299.87/300.53  43014[4:Res:41857.1,733.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Nat_OSuc,u),v)),u))* equal(skf55(hAPP(c_Nat_OSuc,u),v),u).
% 299.87/300.53  10475[0:SpL:362.1,464.1] class_Groups_Ocomm__monoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  10474[0:SpL:361.1,464.1] class_Groups_Omonoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  10472[0:SpL:372.1,464.1] class_Groups_Omonoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.53  10478[0:SpL:353.1,464.1] class_Groups_Omonoid__add(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.53  76435[0:SpR:350.1,1004.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.53  77063[0:MRR:77024.1,226.1] class_Rings_Ocomm__semiring__1(u) || SkP1(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))* equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  72823[0:SpR:999.1,509.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.53  72549[0:SpR:1659.1,509.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.53  71315[0:SpR:997.1,508.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))))*.
% 299.87/300.53  71045[0:SpR:1660.1,508.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))))*.
% 299.87/300.53  65691[0:Res:509.1,938.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 299.87/300.53  65693[0:Res:508.1,938.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))*.
% 299.87/300.53  54088[0:SpL:565.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),skf49(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.87/300.53  10476[0:SpL:350.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.53  10473[0:SpL:364.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  10471[0:SpL:369.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.53  9799[0:SpL:444.1,384.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v)))))*.
% 299.87/300.53  10477[0:SpL:352.1,464.1] class_Groups_Ocomm__monoid__add(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.53  48982[0:SpR:20457.1,815.1] class_Rings_Oring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.53  42110[0:Rew:10199.1,42109.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> equal(hAPP(c_Nat_OSuc,skf52(skf50(u),v)),v)**.
% 299.87/300.53  47243[0:SSi:47222.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),v)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),skf48(c_fequal(v)))*.
% 299.87/300.53  57711[0:SSi:57642.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,skf48(c_fequal(v))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))*.
% 299.87/300.53  72099[0:SpL:957.1,586.1] class_Rings_Oring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.53  21085[0:Res:579.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf47(v)))* -> equal(u,skf47(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  46389[0:SpL:12664.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf47(v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf47(v)))).
% 299.87/300.53  46324[0:SpR:12664.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf47(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf47(v)))*.
% 299.87/300.53  21137[0:Rew:551.0,21046.1] || hBOOL(hAPP(hAPP(u,skf47(v)),w))* -> hBOOL(hAPP(hAPP(u,skf60(hAPP(c_COMBC(x,y,z,u),w))),w))*.
% 299.87/300.53  46202[0:SpR:12664.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf47(v))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf47(v)))**.
% 299.87/300.53  46402[0:SpL:12664.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf47(u))),v))*.
% 299.87/300.53  46337[0:SpR:12664.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf47(u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(u)),skf48(c_fequal(v)))).
% 299.87/300.53  56870[0:SSi:56795.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf47(u)))*.
% 299.87/300.53  56865[0:SSi:56813.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56756[0:SSi:56694.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf47(u)))*.
% 299.87/300.53  56751[0:SSi:56712.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56491[0:SSi:56424.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf47(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.53  56486[0:SSi:56442.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.53  56352[0:SSi:56281.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf47(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.53  56347[0:SSi:56299.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf47(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.53  55724[0:SSi:55677.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.53  21072[0:Res:348.0,16218.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u)),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u)),v)))))*.
% 299.87/300.53  46215[0:SpR:12664.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,skf47(u))),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u)),skf48(c_fequal(v))))**.
% 299.87/300.53  49112[8:SpR:48262.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf47(c_Int_Onat),u)))*.
% 299.87/300.53  49201[8:SpL:48262.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf47(c_Int_Onat),u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.53  49098[8:SpR:48262.0,3690.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf44(skf62(c_Int_Onat,skf47(c_Int_Onat)),u)),u)**.
% 299.87/300.53  66429[8:SpL:49088.0,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.87/300.53  49132[8:SpR:48262.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf47(c_Int_Onat)))*.
% 299.87/300.53  49209[8:SpL:48262.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf47(c_Int_Onat)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))).
% 299.87/300.53  49108[8:SpR:48262.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(c_Int_Onat)),skf48(c_fequal(u)))).
% 299.87/300.53  49200[8:SpL:48262.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf47(c_Int_Onat)),skf48(c_fequal(u)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),u))*.
% 299.87/300.53  68515[8:Rew:3614.0,68514.1] || equal(skf44(skf62(c_Int_Onat,skf47(c_Int_Onat)),c_Int_Onat__aux(skf47(c_Int_Onat),u)),v)* -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),c_Int_Onat__aux(skf47(c_Int_Onat),v))*.
% 299.87/300.53  49246[8:Rew:412.0,49131.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(c_Int_Onat)),skf48(c_fequal(u))))**.
% 299.87/300.53  49107[8:SpR:48262.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(c_Int_Onat)),skf48(c_fequal(u))))**.
% 299.87/300.53  46400[0:SpL:12552.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf57(u)),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf57(u))),v))*.
% 299.87/300.53  46335[0:SpR:12552.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,skf57(u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf57(u)),skf48(c_fequal(v)))).
% 299.87/300.53  56868[0:SSi:56797.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf57(u)))*.
% 299.87/300.53  56863[0:SSi:56815.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56754[0:SSi:56696.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf57(u)))*.
% 299.87/300.53  56749[0:SSi:56714.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))*.
% 299.87/300.53  56489[0:SSi:56426.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf57(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.53  56484[0:SSi:56444.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.53  56350[0:SSi:56283.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),skf57(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.53  56345[0:SSi:56301.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf57(u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.53  55722[0:SSi:55679.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),w),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.53  17145[0:Res:348.0,12380.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u)),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u)),v)))))*.
% 299.87/300.53  46213[0:SpR:12552.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,skf57(u))),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u)),skf48(c_fequal(v))))**.
% 299.87/300.53  20951[0:Res:579.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf57(v)))* -> equal(u,skf57(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  46387[0:SpL:12552.0,12958.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf57(v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf57(v)))).
% 299.87/300.53  46322[0:SpR:12552.0,12957.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf57(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf57(v)))*.
% 299.87/300.53  19019[0:Rew:551.0,19010.1] || hBOOL(hAPP(hAPP(u,skf57(v)),w))* -> hBOOL(hAPP(hAPP(u,skf60(hAPP(c_COMBC(x,y,z,u),w))),w))*.
% 299.87/300.53  46200[0:SpR:12552.0,12953.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Int_Onat,skf57(v))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf57(v)))**.
% 299.87/300.53  67837[0:SSi:67832.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)) equal(v,u).
% 299.87/300.53  20949[0:Res:579.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  26910[0:SpR:12545.1,12782.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.53  26709[0:SpR:12545.1,12935.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))*.
% 299.87/300.53  26649[0:SpL:12545.1,12934.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.53  27004[0:SpL:12545.1,12783.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  27785[0:SpL:12545.1,3730.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),w)).
% 299.87/300.53  28104[0:SpL:12545.1,3740.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),w)).
% 299.87/300.53  27669[0:SpR:12545.1,3722.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,w)))*.
% 299.87/300.53  27594[0:SpR:12545.1,3721.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf64(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(u,w)))*.
% 299.87/300.53  26848[0:SpR:12545.1,12938.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf64(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),u))*.
% 299.87/300.53  26860[0:SpR:12545.1,12938.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v))))*.
% 299.87/300.53  26753[0:SpL:12545.1,12937.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf64(u))).
% 299.87/300.53  26765[0:SpL:12545.1,12937.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.53  26697[0:SpR:12545.1,12935.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),u))*.
% 299.87/300.53  26637[0:SpL:12545.1,12934.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(u))).
% 299.87/300.53  21701[0:SpR:12545.1,3690.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> equal(c_Int_Onat__aux(u,skf44(skf64(u),v)),v)**.
% 299.87/300.53  63214[0:MRR:63163.2,8490.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.53  63212[0:MRR:63179.2,8475.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  63070[0:MRR:63007.2,8490.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.53  63068[0:MRR:63023.2,8475.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.53  26000[0:SpL:2170.1,642.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.53  26014[0:SpL:2170.1,642.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.53  29212[0:SpL:2170.1,12641.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(v,w))*.
% 299.87/300.53  19020[0:Rew:551.0,19007.1] || hBOOL(hAPP(hAPP(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(u,skf60(hAPP(c_COMBC(w,x,y,u),v))),v))*.
% 299.87/300.53  26840[0:SpR:12589.1,12938.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  26745[0:SpL:12589.1,12937.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.87/300.53  29308[0:Res:1640.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.53  25443[0:SpL:5744.1,1641.0] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.87/300.53  25441[0:SpL:2135.1,1641.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.53  25427[0:SpL:5744.1,1641.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))*.
% 299.87/300.53  25353[0:SpR:5744.1,1640.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.53  25367[0:SpR:2135.1,1640.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  25369[0:SpR:5744.1,1640.1] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.87/300.53  26701[0:SpR:12589.1,12935.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.87/300.53  26641[0:SpL:12589.1,12934.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.53  26852[0:SpR:12589.1,12938.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.87/300.53  26757[0:SpL:12589.1,12937.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.87/300.53  4998[0:Res:348.0,4192.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))))*.
% 299.87/300.53  26689[0:SpR:12589.1,12935.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  26629[0:SpL:12589.1,12934.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.87/300.53  44115[0:SpR:26576.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),x),y),hAPP(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(x,y)))**.
% 299.87/300.53  43983[0:SpR:26576.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),y),hAPP(hAPP(x,y),c_Groups_Oone__class_Oone(tc_Int_Oint)))**.
% 299.87/300.53  48478[2:MRR:48473.2,9233.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf60(hAPP(c_Polynomial_Osmult(u),v))))*.
% 299.87/300.53  16735[0:SpL:503.2,383.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(u))),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.53  15961[0:Rew:550.1,15941.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.53  15960[0:Rew:550.1,15945.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(v))))*.
% 299.87/300.53  16739[0:SpL:503.2,12569.0] class_Groups_Ogroup__add(u) || equal(skf57(c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(v))))*.
% 299.87/300.53  59132[0:MRR:59088.1,2829.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf50(v),w)),skf50(v)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  53677[0:SSi:53647.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))*.
% 299.87/300.53  40849[0:Rew:2544.0,40789.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf50(u)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(u)),v))*.
% 299.87/300.53  26372[0:SpL:6450.1,3742.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  26376[0:SpL:3754.1,3742.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.53  26236[0:SpL:18347.0,3741.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(skf50(skf64(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  26241[0:SpL:6450.1,3741.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(v,w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  26245[0:SpL:3754.1,3741.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.53  26248[0:SpL:13412.1,3741.0] || equal(u,v)* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  71659[0:SpL:597.2,24466.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71660[0:SpL:598.2,24466.0] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  63363[0:SpL:418.0,925.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* -> equal(u,w) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  43556[0:SpR:9370.1,739.1] class_Rings_Osemiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,w,skf50(v),hAPP(w,x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,w,v,x))**.
% 299.87/300.53  29090[0:SpL:683.2,334.0] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),x),v,w)*.
% 299.87/300.53  29076[0:SpR:683.2,5744.1] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(w,v)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.53  27103[0:SpL:5744.1,620.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w),v)* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  29321[0:Res:10083.1,12641.0] || equal(u,skf48(c_fequal(v))) -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(hAPP(c_Int_Onat,u))),v))*.
% 299.87/300.53  69721[0:Rew:3753.0,69486.1] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(u,w))*.
% 299.87/300.53  47070[0:SpL:9370.1,12673.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w))))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.53  28499[0:SpL:618.2,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)*.
% 299.87/300.53  28495[0:SpR:618.2,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  27107[0:SpL:5744.1,620.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u),w)** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.87/300.53  77054[0:MRR:76642.2,2780.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) SkP2(c_Nat_OSuc,u,v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.53  26139[0:SpL:2117.1,650.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.53  25864[0:SpR:2117.1,651.1] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  55250[0:Res:891.2,1621.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),u))* -> .
% 299.87/300.53  55183[0:Res:54123.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.87/300.53  47846[0:SpL:3757.0,3735.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  28433[0:SpR:614.1,5744.1] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),w),v),c_Polynomial_Omonom(u,w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  41797[0:Res:378.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.53  41761[0:Res:1608.1,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.53  48251[0:Res:12638.1,24635.0] || hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_fequal(u),v))),v)** SkP1(w,u,hAPP(c_Int_Onat,v))*.
% 299.87/300.53  47562[0:Res:5746.1,805.1] || equal(skf62(c_fequal(u),v),u)** hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fequal(u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.53  77082[0:MRR:77081.1,1981.0] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)* -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.53  55631[0:Res:55294.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.87/300.53  55082[0:Res:54122.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))))*.
% 299.87/300.53  41735[0:Res:26124.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.87/300.53  41736[0:Res:26189.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))))*.
% 299.87/300.53  55298[0:Res:54184.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.87/300.53  41679[0:Res:26075.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),v)),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))*.
% 299.87/300.53  54089[0:SpL:614.1,51176.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),v),skf49(hAPP(c_Polynomial_OpCons(u),v))))*.
% 299.87/300.53  28440[0:SpL:614.1,333.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w)) -> SkP1(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)*.
% 299.87/300.53  28439[0:SpL:614.1,334.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w)) -> SkP2(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)*.
% 299.87/300.53  75601[0:MRR:75596.4,278.1] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.53  64366[2:SpL:63796.1,12641.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(v,w))*.
% 299.87/300.53  71733[0:SpL:602.0,24466.0] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(w,x,y),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  48196[0:Res:12638.1,288.0] || hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_fconj,u),v))),v)** hBOOL(hAPP(c_Int_Onat,v)).
% 299.87/300.53  71793[0:Res:694.1,24466.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  41644[0:Res:309.1,735.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  41692[0:Res:25816.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41693[0:Res:25812.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(u),v)),skf48(u)))*.
% 299.87/300.53  41694[0:Res:25813.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(u),v)),skf57(u)))*.
% 299.87/300.53  41695[0:Res:25815.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(u),v)),skf47(u)))*.
% 299.87/300.53  41840[0:Res:25814.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(u),v)),skf60(u)))*.
% 299.87/300.53  41777[0:Res:311.1,735.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(u),v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.53  41780[0:Res:20707.1,735.0] class_Rings_Olinordered__ring__strict(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  41759[0:Res:2524.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(u,v),w)),c_Int_Onat__aux(u,v)))*.
% 299.87/300.53  41724[0:Res:28679.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(v),w)),skf57(v)))*.
% 299.87/300.53  41727[0:Res:28718.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(v),w)),skf60(v)))*.
% 299.87/300.53  41730[0:Res:28748.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(v),w)),skf47(v)))*.
% 299.87/300.53  41734[0:Res:14395.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41746[0:Res:28645.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(v),w)),skf48(v)))*.
% 299.87/300.53  41723[0:Res:28678.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(v),w)),skf57(v)))*.
% 299.87/300.53  41726[0:Res:28717.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(v),w)),skf60(v)))*.
% 299.87/300.53  41729[0:Res:28747.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(v),w)),skf47(v)))*.
% 299.87/300.53  41731[0:Res:12135.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41745[0:Res:28644.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(v),w)),skf48(v)))*.
% 299.87/300.53  41722[0:Res:28677.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(v),w)),skf57(v)))*.
% 299.87/300.53  41725[0:Res:28716.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(v),w)),skf60(v)))*.
% 299.87/300.53  41728[0:Res:28746.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(v),w)),skf47(v)))*.
% 299.87/300.53  41732[0:Res:12334.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41744[0:Res:28643.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(v),w)),skf48(v)))*.
% 299.87/300.53  41719[0:Res:28558.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(v),w)),skf57(v)))*.
% 299.87/300.53  41720[0:Res:28559.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(v),w)),skf60(v)))*.
% 299.87/300.53  41721[0:Res:28560.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(v),w)),skf47(v)))*.
% 299.87/300.53  41733[0:Res:12491.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41743[0:Res:28557.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(v),w)),skf48(v)))*.
% 299.87/300.53  41714[0:Res:8229.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  41715[0:Res:12146.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(u),v)),skf60(u)))*.
% 299.87/300.53  41716[0:Res:12345.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf57(u),v)),skf57(u)))*.
% 299.87/300.53  41717[0:Res:12502.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(u),v)),skf48(u)))*.
% 299.87/300.53  41718[0:Res:14413.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf47(u),v)),skf47(u)))*.
% 299.87/300.53  41696[0:Res:332.1,735.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(u),v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.53  41927[4:MRR:41552.1,41857.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  41926[4:MRR:41553.1,41857.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  41925[4:MRR:41554.1,41857.0] class_Rings_Omult__zero(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.53  43871[0:SpR:307.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  43868[0:SpR:293.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  44003[0:SpR:307.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x),y),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,y)))**.
% 299.87/300.53  44000[0:SpR:293.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x),y),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,y)))**.
% 299.87/300.53  43802[0:SpR:742.0,458.1] || equal(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  43807[0:SpR:742.0,491.1] || equal(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(tc_Nat_Onat)),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.53  46547[0:SpL:3703.0,6848.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  46783[0:MRR:46723.2,458.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  46671[0:SpR:3704.0,15552.1] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.53  46672[0:SpR:3704.0,19613.1] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(w,skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))))*.
% 299.87/300.53  46728[0:SpL:3704.0,6848.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  46599[0:MRR:46542.2,490.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  46490[0:SpR:3703.0,15552.1] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.53  46491[0:SpR:3703.0,19613.1] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP0(w,skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.53  48207[0:Res:12638.1,38531.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)),u))),u)**.
% 299.87/300.53  47565[0:Res:6728.1,805.1] || equal(skf48(c_fequal(skf62(c_fNot,u))),skf48(c_fNot))** hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  72039[0:SpR:957.1,458.1] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  72044[0:SpR:957.1,490.1] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  58721[0:Obv:58716.0] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Polynomial_Omonom(u,x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.53  71720[0:SpL:556.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  71708[0:SpL:555.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  71719[0:SpL:558.2,24466.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) hBOOL(v) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71715[0:SpL:595.1,24466.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71654[0:SpL:608.2,24466.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71678[0:SpL:594.1,24466.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  71645[0:SpL:607.2,24466.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  74220[0:Res:74160.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  74251[0:Res:74161.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  74274[0:Res:74162.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  74369[0:Res:74163.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  75115[0:Res:29873.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  77080[0:MRR:77079.1,1981.0] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)* -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.53  78763[0:Res:48874.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  80277[0:SpR:6936.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(w,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  80261[0:SpR:9504.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  80407[0:SpR:6936.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  80391[0:SpR:9504.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  51178[0:SoR:6731.0,12634.2] || equal(skf48(c_fequal(skf59(c_Int_Onat))),skf48(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* hBOOL(hAPP(c_Int_Onat,u)) -> .
% 299.87/300.53  50591[0:SSi:50586.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.87/300.53  45980[0:Res:536.1,784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.53  45300[0:Res:785.1,537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.53  53157[0:Res:474.1,873.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.53  51360[0:Res:5746.1,12635.0] || equal(skf48(c_fequal(skf58(c_fequal(u)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_fequal(u),v))*.
% 299.87/300.53  56752[0:SSi:56706.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.53  56348[0:SSi:56293.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.53  17589[0:SpL:13147.1,12557.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> .
% 299.87/300.53  41703[0:Res:5871.1,735.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  53371[2:Res:12637.0,51414.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  53472[0:SSi:53434.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(v,hAPP(c_Int_Onat,u)))* equal(skf48(c_fequal(skf62(v,u))),u).
% 299.87/300.53  45361[0:Res:783.1,537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.53  11898[0:Res:536.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.53  25549[0:SpR:5744.1,12816.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.53  12814[0:Rew:12519.0,11896.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf57(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.87/300.53  25540[0:SpR:12874.1,12816.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))*.
% 299.87/300.53  25644[0:SpL:12874.1,12817.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.53  53839[0:Res:825.2,467.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.53  53840[0:Res:825.2,469.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.53  26997[0:SpL:12586.1,12783.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  25485[0:SpR:5744.1,1911.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.53  25499[0:SpR:5744.1,1911.1] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.87/300.53  77600[0:Res:40052.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> .
% 299.87/300.53  26702[0:SpR:12586.1,12935.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.87/300.53  26642[0:SpL:12586.1,12934.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.53  20570[0:SSi:20567.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.53  56866[0:SSi:56807.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.53  56487[0:SSi:56436.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.53  75805[0:Res:5870.1,735.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  53574[2:Res:12637.0,52144.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  64133[0:SSi:64110.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))**.
% 299.87/300.53  64467[2:Rew:5412.1,64282.3] class_Rings_Oring__1(u) || equal(v,skf49(c_fNot)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  53479[0:Rew:3632.0,53294.2] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,u)),v))),v)**.
% 299.87/300.53  53386[0:Res:12637.0,38534.1] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.53  53387[0:Res:12637.0,298.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.53  53388[0:Res:12637.0,297.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.53  51926[0:Res:827.2,467.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.53  51927[0:Res:827.2,469.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.53  56673[0:Res:12637.0,55634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  56582[0:Res:12637.0,55613.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  56521[0:Res:12637.0,55301.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  56399[0:Res:12637.0,55215.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  56257[0:Res:12637.0,55181.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  56184[0:Res:12637.0,55085.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  53799[2:Res:12637.0,53554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  53617[2:Res:12637.0,52308.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  53469[0:Rew:2526.0,53395.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))),u)**.
% 299.87/300.53  53355[0:Res:12637.0,38532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  53356[0:Res:12637.0,38533.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  53377[0:Res:12637.0,28826.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.53  53406[0:Res:12637.0,24635.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(c_fequal(v),u))),u)** SkP1(w,v,hAPP(c_Int_Onat,u))*.
% 299.87/300.53  53409[0:Res:12637.0,384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(v,u))),u)** hBOOL(hAPP(v,hAPP(c_Int_Onat,skf48(v))))*.
% 299.87/300.53  44886[0:Rew:12609.0,44843.2] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),skf63(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u).
% 299.87/300.53  52450[0:Res:5746.1,839.0] || equal(skf62(c_fequal(u),v),u)** -> hBOOL(hAPP(c_fequal(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  39839[0:SpR:5859.1,694.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.53  20948[0:Res:579.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.53  63069[0:MRR:63010.2,6706.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.53  56871[0:SSi:56789.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  56757[0:SSi:56688.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  56492[0:SSi:56418.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.53  56353[0:SSi:56275.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.53  55725[0:SSi:55671.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))**.
% 299.87/300.53  26042[0:Rew:1878.0,26016.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.53  29214[0:SpL:2169.1,12641.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(v,w))*.
% 299.87/300.53  42013[0:SpR:3705.1,2673.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(c_Nat_OSuc,skf52(u,v)),v).
% 299.87/300.53  40744[0:SpR:10146.1,2673.1] || equal(skf48(c_fequal(skf50(u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.53  19021[0:Rew:551.0,19006.1] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(u,skf60(hAPP(c_COMBC(w,x,y,u),v))),v))*.
% 299.87/300.53  26546[0:SpR:12586.1,12933.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))**.
% 299.87/300.53  4881[0:Res:348.0,4191.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))))*.
% 299.87/300.53  26746[0:SpL:12586.1,12937.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.87/300.53  26841[0:SpR:12586.1,12938.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  57766[2:Res:52901.1,735.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  57495[2:Res:52145.1,735.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41513[0:SpL:267.0,735.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41705[0:Res:12133.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41706[0:Res:12332.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41707[0:Res:12489.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41708[0:Res:14377.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41690[0:Res:8517.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  41704[0:Res:2449.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  51885[2:MRR:48472.2,51857.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf60(hAPP(c_Polynomial_Osmult(u),v))))*.
% 299.87/300.53  65861[0:SpL:931.1,333.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.53  65860[0:SpL:931.1,334.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.53  131363[0:SpR:108628.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),y),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(x,y)))**.
% 299.87/300.53  131232[0:SpR:108628.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.53  148991[23:Res:148527.1,12635.0] || equal(skf48(c_fequal(skf58(c_Int_Onat))),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.53  150330[0:Res:63058.1,735.0] || SkP0(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  153777[2:Res:153698.0,735.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  153907[2:Res:153761.0,735.0] ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  159442[0:Rew:3749.0,159428.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)))))),v))* -> .
% 299.87/300.53  159522[0:Rew:3749.0,159518.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)))))),v))* -> .
% 299.87/300.53  168422[4:Res:42157.0,1031.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)).
% 299.87/300.53  168376[0:SpL:313.1,1031.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.53  168335[0:SpL:313.1,1031.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.53  169955[0:SpR:10145.1,61666.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf64(w)),skf50(u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf64(w)),u))*.
% 299.87/300.53  170216[0:Res:1913.2,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> SkP1(c_Rings_Odvd__class_Odvd(u),w,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v))*.
% 299.87/300.53  170215[0:Res:1913.2,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> SkP2(c_Rings_Odvd__class_Odvd(u),w,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v))*.
% 299.87/300.53  170232[0:Obv:170220.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  171436[0:Rew:3728.0,171435.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(u)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.53  172332[0:Rew:172331.2,172277.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  172528[0:SSi:172488.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  172532[0:SSi:172423.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  173264[0:Rew:406.1,173168.3] class_Groups_Olinordered__ab__group__add(u) class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  173287[0:SSi:173286.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(u)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))*.
% 299.87/300.53  173363[0:SSi:173362.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.53  175074[0:Res:1087.2,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))*.
% 299.87/300.53  175073[0:Res:1087.2,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))*.
% 299.87/300.53  175092[0:Obv:175078.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  175325[0:Res:1088.2,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))*.
% 299.87/300.53  175324[0:Res:1088.2,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))*.
% 299.87/300.53  175341[0:Obv:175329.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  175680[0:SpR:175495.0,1079.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))**.
% 299.87/300.53  176414[4:MRR:176189.2,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> SkP0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,y,z)))*.
% 299.87/300.53  176415[4:MRR:176185.2,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> SkP0(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,y,z)))*.
% 299.87/300.53  176592[0:Res:332.1,1051.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.53  176729[0:SSi:176621.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.53  177054[0:SSi:176966.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.53  7111[0:SpL:414.0,384.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)))))*.
% 299.87/300.53  62030[0:SpL:12672.1,51176.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.87/300.53  54090[0:SpL:12636.1,51176.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u))))*.
% 299.87/300.53  19374[0:SpL:601.0,384.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))))*.
% 299.87/300.53  41602[0:SpL:19381.0,735.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  78170[2:SpR:1078.0,51947.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u)))*.
% 299.87/300.53  78183[2:SpR:1078.0,7974.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))*.
% 299.87/300.53  78190[2:SpR:1078.0,54139.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))*.
% 299.87/300.53  41517[0:SpL:263.0,735.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.53  74970[0:SpL:242.0,992.1] class_Lattices_Oboolean__algebra(tc_Int_Oint) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.53  73567[0:SpR:242.0,991.2] class_Lattices_Oboolean__algebra(tc_Int_Oint) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  74988[0:SpL:242.0,992.1] class_Lattices_Oboolean__algebra(tc_Int_Oint) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.53  73585[0:SpR:242.0,991.2] class_Lattices_Oboolean__algebra(tc_Int_Oint) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.53  160429[2:Res:146399.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.53  160428[2:Res:146403.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP0(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.53  150005[2:Res:146402.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> equal(skf48(c_fequal(skf64(hAPP(c_Int_Onat,u)))),hAPP(c_Int_Onat,u))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))*.
% 299.87/300.53  176109[10:MRR:176100.1,38830.0] || equal(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  176108[10:MRR:176102.1,38830.0] || equal(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  176010[10:MRR:176002.1,38830.0] || equal(hAPP(c_Nat_OSuc,skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  176009[10:MRR:176004.1,38830.0] || equal(hAPP(c_Nat_OSuc,skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.53  73181[2:SSi:73143.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.53  159803[2:Res:146401.1,735.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  159726[2:Res:64525.1,735.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  146382[2:Res:64591.1,735.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.53  177201[0:Res:332.1,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.53  177341[0:SSi:177280.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,v))))),u))*.
% 299.87/300.53  177438[0:Res:311.1,1063.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.53  177629[0:Res:332.1,1050.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Oone__class_Oone(u))).
% 299.87/300.53  177760[0:SSi:177658.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  177884[0:Res:311.1,1062.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(u))).
% 299.87/300.53  178100[0:SSi:177978.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  178189[0:Res:332.1,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.53  178325[0:SSi:178268.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,v))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.53  178326[0:SSi:178218.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.53  178624[0:SSi:178543.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.53  179078[0:Rew:313.1,178905.3] class_Rings_Oidom(u) class_Lattices_Oab__semigroup__idem__mult(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),v)**.
% 299.87/300.53  179079[0:Rew:313.1,178817.3] class_Rings_Oidom(u) class_Lattices_Oab__semigroup__idem__mult(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),w)**.
% 299.87/300.53  179342[0:SSi:179270.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  179347[0:SSi:179177.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,v)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.53  179354[0:SSi:179353.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),v)))*.
% 299.87/300.53  179363[0:Rew:364.1,179251.3] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,v)),x),w)**.
% 299.87/300.53  179923[0:SpL:1075.0,51176.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y)))* -> hBOOL(hAPP(hAPP(w,x),skf49(hAPP(w,x))))*.
% 299.87/300.53  179852[0:SpL:1075.0,288.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_fconj),w),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_fconj),w),x)).
% 299.87/300.53  179515[0:SpR:1075.0,553.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.53  180306[0:Res:301.0,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,skf44(u,v),skf44(u,x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)).
% 299.87/300.53  180318[0:MRR:180276.0,1909.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.53  180319[0:MRR:180273.0,2523.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.53  180397[0:Res:7329.1,52846.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,skf44(u,v),skf44(u,x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v)).
% 299.87/300.53  180393[0:Res:300.1,52846.1] || equal(skf44(u,v),skf44(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.53  180412[0:MRR:180368.0,1909.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.87/300.53  180413[0:MRR:180365.0,2523.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.53  180486[0:Res:7329.1,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,w)) -> SkP1(x,skf55(v,u),w)* hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.53  180481[0:Res:300.1,1104.2] || equal(u,skf55(v,w))* hBOOL(hAPP(w,v))* hBOOL(hAPP(w,u))* -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  180668[0:MRR:180661.3,47669.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  181592[0:SSi:181591.1,122.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.53  182393[0:Res:325.1,1892.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  182563[0:Res:325.1,1890.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.53  182678[0:Res:19039.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(v,skf48(c_fequal(hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))*.
% 299.87/300.53  182922[0:MRR:182921.2,5747.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  182924[0:MRR:182862.2,5871.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.53  183109[0:MRR:183011.2,5871.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.53  183242[0:SpR:183186.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.53  183241[0:SpR:183186.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),x),y),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,y)))**.
% 299.87/300.53  183333[0:SpR:1129.1,170043.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,u))**.
% 299.87/300.53  183406[0:MRR:183372.1,8588.0] class_Rings_Oring__1__no__zero__divisors(tc_Nat_Onat) || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.53  183407[0:MRR:183354.1,5747.1] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))**.
% 299.87/300.53  183692[0:MRR:183610.2,5870.1] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.53  184267[0:Res:16882.1,1142.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),v)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u)).
% 299.87/300.53  184459[0:SpR:273.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),v))*.
% 299.87/300.53  184682[0:SpR:184630.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),y),hAPP(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.53  184681[0:SpR:184630.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),x),y),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(x,y)))**.
% 299.87/300.53  185280[0:SpR:21749.1,24282.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v)),c_Int_Onat__aux(skf48(c_fequal(x)),v))*.
% 299.87/300.53  185390[0:Rew:3632.0,185317.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(w,v)),u),c_Int_Onat__aux(w,skf44(u,v)))**.
% 299.87/300.53  185454[0:SpR:21752.1,24282.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x),c_Int_Onat__aux(skf48(c_fequal(v)),x))*.
% 299.87/300.53  186099[10:Res:38830.0,3663.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v,u)),u)**.
% 299.87/300.53  186132[4:MRR:186131.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.53  186134[4:MRR:186133.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.53  186514[10:Res:38830.0,3661.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v,u)),u)**.
% 299.87/300.53  186547[4:MRR:186546.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.53  186549[4:MRR:186548.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.53  186907[0:Obv:186897.3] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.53  187544[0:MRR:187536.2,300.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* equal(skf44(v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(w,u)*.
% 299.87/300.53  187548[0:MRR:187530.1,1879.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),skf50(skf64(v)))* -> equal(u,skf64(v)).
% 299.87/300.53  188020[0:Res:3664.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,v,u)),u)** hBOOL(hAPP(w,skf49(w)))*.
% 299.87/300.53  187715[15:SpR:67570.0,3664.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Polynomial_Opoly(t_a,v_cs____),v,u)),u)**.
% 299.87/300.53  188593[0:Res:3662.0,51176.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,v,u)),u)** hBOOL(hAPP(w,skf49(w)))*.
% 299.87/300.53  188288[15:SpR:67570.0,3662.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Polynomial_Opoly(t_a,v_cs____),v,u)),u)**.
% 299.87/300.53  188808[0:SSi:188807.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Polynomial_Oorder(tc_Int_Oint,u,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))).
% 299.87/300.53  19025[0:Rew:551.0,19000.1] || hBOOL(hAPP(hAPP(u,v),w))* -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,skf48(hAPP(c_COMBC(x,y,z,u),w)))),w))*.
% 299.87/300.53  25319[0:Rew:602.0,25308.1] || hBOOL(hAPP(u,hAPP(v,skf48(w))))* -> hBOOL(hAPP(u,hAPP(v,skf60(hAPP(hAPP(c_COMBB(x,y,z),u),v)))))*.
% 299.87/300.53  25323[0:Rew:602.0,25301.1] || hBOOL(hAPP(u,hAPP(v,skf60(w))))* -> hBOOL(hAPP(u,hAPP(v,skf60(hAPP(hAPP(c_COMBB(x,y,z),u),v)))))*.
% 299.87/300.53  24456[0:Res:576.2,12183.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf60(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.53  24462[0:Res:576.2,12538.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf48(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.53  54213[0:Res:779.2,51176.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf49(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.53  66683[0:SpL:947.1,51176.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,v),skf49(c_Polynomial_Opoly(u,v))))*.
% 299.87/300.53  76512[15:SpR:76473.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,x))),y),z),hAPP(c_Groups_Ozero__class_Ozero(t_a),hAPP(y,z)))**.
% 299.87/300.53  67744[15:SpR:67619.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,x))),y),z),hAPP(c_Groups_Ozero__class_Ozero(t_a),hAPP(y,z)))**.
% 299.87/300.53  49270[0:SpR:813.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),y))*.
% 299.87/300.53  48972[0:SpR:815.1,742.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),y))*.
% 299.87/300.53  44042[0:SpR:313.1,742.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),y),hAPP(y,hAPP(z,y)))**.
% 299.87/300.53  43844[0:SpR:742.0,541.2] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(v,w)) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_OpCons(u)),v),w))*.
% 299.87/300.53  43848[0:SpR:742.0,551.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_COMBC(x,y,z,x1)),x2),x3),hAPP(hAPP(x1,hAPP(x2,x3)),x3))*.
% 299.87/300.53  54102[0:SpL:813.1,51176.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.53  54103[0:SpL:815.1,51176.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.53  10488[0:SpL:319.0,464.1] class_Orderings_Owellorder(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(w,v,x),y),c_Orderings_Oord__class_OLeast(u,hAPP(c_Power_Opower_Opower(w,v,x),y))))*.
% 299.87/300.53  43910[0:SpR:313.1,742.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),z),hAPP(hAPP(y,z),z))**.
% 299.87/300.53  67745[15:SpR:67619.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,y))),z),hAPP(hAPP(x,z),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.53  76513[15:SpR:76473.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,y))),z),hAPP(hAPP(x,z),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.53  10482[0:SpL:403.1,464.1] class_Rings_Omult__zero(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  30413[0:AED:109.0,30379.2] class_Rings_Oring__no__zero__divisors(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  49759[0:Rew:49758.1,49317.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))**.
% 299.87/300.53  49758[0:SSi:49757.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))**.
% 299.87/300.53  43935[0:SpR:4392.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,y))),y),hAPP(hAPP(x,y),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.53  76470[0:SpL:1004.1,51176.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,v),skf49(c_Polynomial_Opoly(u,v))))*.
% 299.87/300.53  50514[0:Res:779.2,435.1] class_Orderings_Oorder(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  74045[0:Obv:73974.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w))*.
% 299.87/300.53  74339[0:Obv:74323.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))*.
% 299.87/300.53  64126[0:Res:932.2,51176.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.53  56322[0:Res:525.1,836.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v)).
% 299.87/300.53  56328[0:Res:515.2,836.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v)).
% 299.87/300.53  56464[0:Res:525.2,834.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v)).
% 299.87/300.53  18625[0:Res:525.2,464.1] class_Orderings_Olinorder(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,x))))*.
% 299.87/300.53  54214[0:Res:776.2,51176.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf49(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.53  50423[0:Res:776.2,435.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.53  55056[0:Res:515.2,894.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.53  55050[0:Res:525.1,894.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.53  55130[0:Res:525.2,865.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.53  64258[0:Res:918.2,51176.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.53  74180[0:Obv:74138.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w))*.
% 299.87/300.53  74514[0:Obv:74497.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))*.
% 299.87/300.53  73159[0:SpL:1661.1,464.1] class_Rings_Oring(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.53  49731[0:SpL:816.1,464.1] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.53  54452[0:Rew:687.1,54079.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.53  51111[0:Rew:687.1,51014.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf46(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.53  48957[0:SpR:815.1,443.1] class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))**.
% 299.87/300.53  73618[0:Obv:73574.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.53  73617[0:Obv:73592.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.53  49284[0:SpR:371.1,813.1] class_Lattices_Oboolean__algebra(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))**.
% 299.87/300.53  48986[0:SpR:371.1,815.1] class_Lattices_Oboolean__algebra(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))**.
% 299.87/300.53  54051[0:SpL:814.1,51176.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.53  49343[0:SpR:814.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),y))*.
% 299.87/300.53  70617[0:Obv:70503.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))**.
% 299.87/300.53  49572[0:Obv:49512.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))**.
% 299.87/300.53  70160[0:Rew:816.1,70066.2,812.1,70066.2] class_Groups_Oab__group__add(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))**.
% 299.87/300.53  49513[0:SpR:812.1,556.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))**.
% 299.87/300.53  57910[0:SpL:495.1,855.1] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) -> c_Polynomial_Opos__poly(u,skf36(u,v))* equal(skf36(u,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.53  10481[0:SpL:401.1,464.1] class_RealVector_Oreal__normed__algebra(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.53  51053[0:Res:585.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf46(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))* -> equal(skf46(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.53  28821[0:Res:576.2,636.0] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)))* -> equal(v,c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)).
% 299.87/300.53  76485[0:SSi:76447.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))**.
% 299.87/300.53  78307[0:SSi:78164.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.54  72034[0:SpR:957.1,507.1] class_Rings_Oring__1(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.54  57335[0:Obv:57309.0] class_Groups_Ozero(u) ||  -> equal(c_Nat_Onat_Onat__case(u,c_Groups_Ozero__class_Ozero(u),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w))))**.
% 299.87/300.54  54446[0:AED:109.0,54009.2] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),skf49(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))))*.
% 299.87/300.54  10484[0:SpL:411.1,464.1] class_Power_Opower(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.54  72889[0:SpL:999.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.54  72613[0:SpL:1659.1,334.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.54  72102[0:SpL:957.1,334.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  70560[0:SpL:1685.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v).
% 299.87/300.54  71364[0:SpL:997.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  71093[0:SpL:1660.1,334.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  70113[0:SpL:1686.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  44156[0:SpL:742.0,334.0] || hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z),x1))* -> SkP2(hAPP(x,z),hAPP(y,z),x1)*.
% 299.87/300.54  72278[0:SpL:956.1,334.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> SkP2(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  1745[0:Res:226.0,1005.0] ||  -> SkP2(u,hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____))*.
% 299.87/300.54  1801[0:Res:226.0,1005.0] ||  -> SkP2(u,hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_y____),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____))*.
% 299.87/300.54  42855[0:SpL:691.1,334.0] class_Groups_Ouminus(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w)),x)) -> SkP2(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),v),w,x)*.
% 299.87/300.54  42368[0:SpL:687.1,334.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)*.
% 299.87/300.54  40913[0:SpL:741.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)*.
% 299.87/300.54  76287[0:SpL:994.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> SkP2(c_Polynomial_Osmult(u),v,c_Polynomial_Omonom(u,w,x)).
% 299.87/300.54  44130[0:SpL:742.0,334.0] || hBOOL(hAPP(hAPP(hAPP(u,v),hAPP(w,v)),x))* -> SkP2(hAPP(hAPP(c_COMBS(y,z,x1),u),w),v,x)*.
% 299.87/300.54  72457[0:SpL:955.1,334.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))) -> SkP2(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  40990[0:SpL:699.2,334.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),v)*.
% 299.87/300.54  23500[0:AED:109.0,23478.2] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))))*.
% 299.87/300.54  58265[0:SpL:506.1,897.1] class_Groups_Oab__group__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.54  58131[0:SpL:506.1,896.1] class_Groups_Oab__group__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.54  49756[0:Obv:49672.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  49254[0:SpR:813.1,443.1] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))**.
% 299.87/300.54  10506[0:SpL:393.1,464.1] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))))*.
% 299.87/300.54  58264[0:SpL:505.1,897.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.54  58130[0:SpL:505.1,896.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.54  48814[0:SpR:746.1,558.2] class_Groups_Ogroup__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.54  40149[0:SSi:40136.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))).
% 299.87/300.54  39991[0:SSi:39980.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.54  40061[0:SSi:40042.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)).
% 299.87/300.54  39862[0:SSi:39850.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v))*.
% 299.87/300.54  44067[0:SpR:4392.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x))),y),x),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(y,x)))**.
% 299.87/300.54  76129[0:Rew:3622.0,76115.1] || equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),w)* -> equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),hAPP(c_Nat_OSuc,w))*.
% 299.87/300.54  43783[0:SpR:742.0,5744.1] || equal(u,v) -> equal(hAPP(hAPP(w,v),hAPP(x,v)),hAPP(hAPP(hAPP(c_COMBS(y,z,x1),w),x),u))*.
% 299.87/300.54  43795[0:SpR:742.0,5744.1] || equal(u,hAPP(v,w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),v),w),hAPP(hAPP(x1,w),u))*.
% 299.87/300.54  44011[0:SpR:5744.1,742.0] || equal(u,v) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),x1),v),hAPP(hAPP(z,u),hAPP(x1,v)))*.
% 299.87/300.54  43879[0:SpR:5744.1,742.0] || equal(u,v) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),x1),v),hAPP(hAPP(z,v),hAPP(x1,u)))*.
% 299.87/300.54  43862[0:SpR:5744.1,742.0] || equal(u,v) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),u),x1),hAPP(hAPP(z,x1),hAPP(v,x1)))*.
% 299.87/300.54  43860[0:SpR:5744.1,742.0] || equal(u,v) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),u),z),x1),hAPP(hAPP(v,x1),hAPP(z,x1)))*.
% 299.87/300.54  67767[15:SpL:67619.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),u)),c_Groups_Ozero__class_Ozero(t_a))** -> equal(u,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v))).
% 299.87/300.54  67750[15:SpL:67619.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)))),c_Groups_Ozero__class_Ozero(t_a))** -> equal(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),u).
% 299.87/300.54  76538[15:SpL:76473.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),u)),c_Groups_Ozero__class_Ozero(t_a))** -> equal(u,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v))).
% 299.87/300.54  76519[15:SpL:76473.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)))),c_Groups_Ozero__class_Ozero(t_a))** -> equal(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),u).
% 299.87/300.54  75911[0:Rew:3622.0,75885.1] || equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),w)* -> equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,w))*.
% 299.87/300.54  42990[0:Obv:42967.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Polynomial_OpCons(u),w),x))* -> equal(c_Polynomial_Ocoeff(u,v),c_Nat_Onat_Onat__case(u,w,c_Polynomial_Ocoeff(u,x)))*.
% 299.87/300.54  43287[0:SpR:689.2,5744.1] class_Groups_Ozero(u) || equal(v,w) equal(x,y) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),y),hAPP(c_Polynomial_Ocoeff(u,w),x))*.
% 299.87/300.54  43316[0:SpL:689.2,334.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Polynomial_Ocoeff(u,v),x),y))* -> SkP2(c_Polynomial_Ocoeff(u,w),x,y)*.
% 299.87/300.54  40905[0:SpR:5744.1,741.1] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))**.
% 299.87/300.54  63721[0:Res:916.2,467.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> .
% 299.87/300.54  63722[0:Res:916.2,469.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> .
% 299.87/300.54  55158[0:Obv:55089.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.54  54987[0:Obv:54930.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),v))*.
% 299.87/300.54  64249[0:Res:918.2,467.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> .
% 299.87/300.54  64250[0:Res:918.2,469.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> .
% 299.87/300.54  58047[0:Obv:58022.3] class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))* c_Polynomial_Opos__poly(u,v)* -> c_Polynomial_Opos__poly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))*.
% 299.87/300.54  73968[0:Res:428.2,987.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.54  73971[0:Res:1639.2,987.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.54  75180[0:Res:428.2,989.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.54  75183[0:Res:1639.2,989.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.54  75013[0:Res:428.2,992.1] class_Orderings_Oorder(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.54  75016[0:Res:1639.2,992.1] class_Orderings_Olinorder(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.54  74316[0:Res:428.2,986.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.54  74319[0:Res:1639.2,986.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.54  74652[0:Res:428.2,953.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.54  74655[0:Res:1639.2,953.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.54  55064[0:Obv:55015.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.54  54590[0:Obv:54555.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),v))*.
% 299.87/300.54  75671[0:Res:428.2,976.1] class_Orderings_Oorder(tc_fun(u,v)) class_Orderings_Oord(v) || equal(w,x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(w,y)),hAPP(x,y)))*.
% 299.87/300.54  75674[0:Res:1639.2,976.1] class_Orderings_Olinorder(tc_fun(u,v)) class_Orderings_Oord(v) || equal(w,x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(w,y)),hAPP(x,y)))*.
% 299.87/300.54  50990[0:SpL:597.2,50956.0] class_Groups_Ogroup__add(u) || equal(skf46(hAPP(c_Groups_Ominus__class_Ominus(u),v)),v) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.54  50991[0:SpL:598.2,50956.0] class_Groups_Oab__group__add(u) || equal(skf46(hAPP(c_Groups_Ominus__class_Ominus(u),v)),v) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.54  29274[0:SpL:393.1,12641.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Int_Onat,v)),w))*.
% 299.87/300.54  49543[0:SpL:812.1,557.1] class_Groups_Ogroup__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  49294[0:SpL:813.1,557.1] class_Groups_Oab__group__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  48996[0:SpL:815.1,557.1] class_Rings_Ocomm__ring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  49894[0:Obv:49836.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  50043[0:Obv:49976.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.54  70153[0:Obv:70059.0] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  58392[0:SpL:443.1,895.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),w),w)** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  58715[0:SpL:565.1,904.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  58257[0:SpL:444.1,897.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),w),v)** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  58123[0:SpL:444.1,896.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),w),v)** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  42503[0:SpL:685.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) -> SkP2(hAPP(c_Polynomial_Osmult(u),v),x,w)*.
% 299.87/300.54  40046[0:SpL:5744.1,695.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))*.
% 299.87/300.54  39854[0:SpR:5744.1,694.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),u))*.
% 299.87/300.54  40138[0:SpL:5744.1,693.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))*.
% 299.87/300.54  39982[0:SpR:5744.1,692.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)))*.
% 299.87/300.54  42988[0:Obv:42978.0] class_Groups_Ozero(u) || equal(c_Polynomial_Ocoeff(u,v),c_Nat_Onat_Onat__case(u,w,c_Polynomial_Ocoeff(u,x)))* -> equal(v,hAPP(hAPP(c_Polynomial_OpCons(u),w),x))*.
% 299.87/300.54  40129[0:SpL:5744.1,693.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))*.
% 299.87/300.54  40140[0:SpL:5744.1,693.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))*.
% 299.87/300.54  39973[0:SpR:5744.1,692.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.54  39984[0:SpR:5744.1,692.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),u))*.
% 299.87/300.54  42355[0:SpR:5744.1,687.1] class_Rings_Ocomm__ring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))**.
% 299.87/300.54  40035[0:SpL:5744.1,695.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))*.
% 299.87/300.54  39843[0:SpR:5744.1,694.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w))*.
% 299.87/300.54  40044[0:SpL:5744.1,695.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))*.
% 299.87/300.54  39852[0:SpR:5744.1,694.1] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w))*.
% 299.87/300.54  42357[0:SpR:5744.1,687.1] class_Rings_Ocomm__ring__1(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))**.
% 299.87/300.54  51021[0:SpL:558.2,50956.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf46(hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.54  49514[0:SpR:812.1,558.2] class_Groups_Ogroup__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),w)**.
% 299.87/300.54  49266[0:SpR:813.1,558.2] class_Groups_Oab__group__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),w)**.
% 299.87/300.54  48969[0:SpR:815.1,558.2] class_Rings_Ocomm__ring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),w)**.
% 299.87/300.54  58395[0:SpL:506.1,895.1] class_Groups_Oab__group__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.54  70606[0:Obv:70558.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v).
% 299.87/300.54  50168[0:Obv:50152.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)).
% 299.87/300.54  10880[0:Rew:272.0,10813.0] || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf34(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.54  70150[0:Obv:70112.0] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  40968[0:SpR:699.2,5744.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(v,hAPP(c_Nat_OSuc,w))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  40472[0:SpR:12940.0,5744.1] || equal(u,skf48(c_fequal(v))) -> equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(w)),v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(w))),u))*.
% 299.87/300.54  40508[0:SpR:5744.1,12940.0] || equal(u,skf48(c_fequal(v))) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(w))),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),w))))*.
% 299.87/300.54  40514[0:SpL:12940.0,334.0] || hBOOL(hAPP(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v)),w)*.
% 299.87/300.54  56987[0:SSi:56941.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,v)) equal(skf44(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),v),w)* -> equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)))*.
% 299.87/300.54  77086[0:MRR:76908.3,3629.0] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),u)* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v),u) -> hBOOL(v).
% 299.87/300.54  72458[0:SpL:955.1,333.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))) -> SkP1(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  72890[0:SpL:999.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.54  72614[0:SpL:1659.1,333.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.54  72103[0:SpL:957.1,333.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  72279[0:SpL:956.1,333.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> SkP1(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  42856[0:SpL:691.1,333.0] class_Groups_Ouminus(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w)),x)) -> SkP1(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),v),w,x)*.
% 299.87/300.54  42369[0:SpL:687.1,333.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)*.
% 299.87/300.54  40914[0:SpL:741.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)*.
% 299.87/300.54  71365[0:SpL:997.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  71094[0:SpL:1660.1,333.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  70114[0:SpL:1686.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w).
% 299.87/300.54  40515[0:SpL:12940.0,333.0] || hBOOL(hAPP(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v)),w)*.
% 299.87/300.54  42504[0:SpL:685.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) -> SkP1(hAPP(c_Polynomial_Osmult(u),v),x,w)*.
% 299.87/300.54  44157[0:SpL:742.0,333.0] || hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z),x1))* -> SkP1(hAPP(x,z),hAPP(y,z),x1)*.
% 299.87/300.54  70561[0:SpL:1685.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v).
% 299.87/300.54  76288[0:SpL:994.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> SkP1(c_Polynomial_Osmult(u),v,c_Polynomial_Omonom(u,w,x)).
% 299.87/300.54  44131[0:SpL:742.0,333.0] || hBOOL(hAPP(hAPP(hAPP(u,v),hAPP(w,v)),x))* -> SkP1(hAPP(hAPP(c_COMBS(y,z,x1),u),w),v,x)*.
% 299.87/300.54  43317[0:SpL:689.2,333.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Polynomial_Ocoeff(u,v),x),y))* -> SkP1(c_Polynomial_Ocoeff(u,w),x,y)*.
% 299.87/300.54  61413[0:SSi:61389.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> .
% 299.87/300.54  59457[0:SSi:59424.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))* -> .
% 299.87/300.54  76875[0:SpR:285.0,963.2] || SkP2(c_COMBK(u,v),w,x)* SkP1(c_COMBK(u,v),w,x) -> hBOOL(w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.54  51054[0:Res:12782.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf46(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u)))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.87/300.54  59231[0:Res:468.1,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.54  27019[0:Res:585.1,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))* -> equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))).
% 299.87/300.54  26174[0:Rew:276.0,26162.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.54  76654[0:SpR:210.0,963.2] || SkP2(c_COMBI(u),v,w)* SkP1(c_COMBI(u),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.54  42049[0:SpR:5744.1,3705.1] || equal(u,skf52(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,u)),w)*.
% 299.87/300.54  42054[0:SpR:12874.1,3705.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,skf52(v,w))),w)**.
% 299.87/300.54  20229[0:SpL:13147.1,3710.0] || equal(skf48(c_fequal(u)),v)* equal(w,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.54  56214[0:Res:525.2,843.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.54  51060[0:Res:1630.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf46(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v))*.
% 299.87/300.54  54332[0:Res:1630.1,51176.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf49(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  42014[0:SpR:3705.1,15222.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf52(u,v)))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.54  42027[0:SpR:3705.1,6450.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(skf48(c_fequal(u)),w) -> equal(c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,skf52(u,v))),v)**.
% 299.87/300.54  42045[0:SpR:3705.1,13412.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,skf52(u,v)),w)* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),v)*.
% 299.87/300.54  42083[0:SpL:3705.1,17473.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),v)* -> equal(w,hAPP(c_Nat_OSuc,skf52(u,v)))*.
% 299.87/300.54  42089[0:SpL:3705.1,3752.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf52(u,v))),v)** -> equal(w,u).
% 299.87/300.54  47885[0:SpL:3757.0,3718.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))*.
% 299.87/300.54  53536[0:SSi:53518.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)),v))* equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)).
% 299.87/300.54  56121[0:Res:525.1,848.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.54  56127[0:Res:515.2,848.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.54  77062[0:MRR:77061.2,2803.0] || SkP2(c_Nat_OSuc,skf50(u),v) SkP1(c_Nat_OSuc,skf50(u),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.87/300.54  59849[0:Res:3760.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))* -> .
% 299.87/300.54  61239[0:Res:3763.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> .
% 299.87/300.54  51051[0:Res:579.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))* -> equal(skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.54  41221[0:Rew:9487.0,41192.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) equal(skf50(skf64(u)),v).
% 299.87/300.54  41196[0:SpL:5744.1,733.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* equal(w,v).
% 299.87/300.54  41213[0:Res:539.0,733.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)) equal(v,u).
% 299.87/300.54  21691[0:SpR:13147.1,3690.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf44(u,w)),w)**.
% 299.87/300.54  27965[0:SpL:3690.1,3739.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),w))*.
% 299.87/300.54  27407[0:SpR:3690.1,3681.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf44(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.54  27494[0:SpR:3690.1,3682.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf44(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.54  42328[0:SpR:687.1,608.2] class_Rings_Ocomm__ring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  44144[0:SpL:742.0,619.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(z,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  57333[0:Obv:57324.0] class_Groups_Ozero(u) || equal(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  43168[0:SpR:5744.1,725.2] class_Rings_Olinordered__idom(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* equal(x,w).
% 299.87/300.54  43061[0:SpR:5744.1,724.2] class_Orderings_Olinorder(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* equal(x,w).
% 299.87/300.54  42741[0:SpR:5744.1,734.3] class_Rings_Olinordered__idom(u) || equal(v,w)* -> c_Polynomial_Opos__poly(u,w)* equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.54  42644[0:SpL:5744.1,684.1] class_Groups_Ozero(u) || equal(v,w)* equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.54  43801[0:SpR:742.0,608.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(u)),z),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  40984[0:SpR:5744.1,699.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  41184[0:SpL:5744.1,733.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* equal(w,v).
% 299.87/300.54  41194[0:SpL:2135.1,733.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(v,w).
% 299.87/300.54  68854[0:SpL:3724.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 299.87/300.54  68855[0:SpL:3724.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 299.87/300.54  68783[0:SpR:3724.0,437.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))*.
% 299.87/300.54  60652[0:SpR:3762.0,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),w))*.
% 299.87/300.54  40634[0:SpR:5744.1,740.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),w))*.
% 299.87/300.54  22209[0:SpL:13147.1,6391.0] || equal(skf48(c_fequal(u)),v)* equal(w,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x),u)*.
% 299.87/300.54  40662[0:SpR:5744.1,740.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),u))*.
% 299.87/300.54  80264[0:SpR:9490.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf50(skf64(v)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.54  40660[0:SpR:2135.1,740.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.54  42241[0:SpL:3709.1,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(u,w).
% 299.87/300.54  69654[0:Res:269.1,3665.0] class_Orderings_Opreorder(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 299.87/300.54  69655[0:Res:18720.1,3665.0] class_Orderings_Olinorder(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 299.87/300.54  80336[0:Rew:3749.0,80315.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))*.
% 299.87/300.54  42189[0:SpR:5744.1,3709.1] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),w)**.
% 299.87/300.54  42171[0:SpR:3709.1,6450.1] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) equal(c_Int_Onat__aux(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),w)**.
% 299.87/300.54  61578[0:MRR:61484.1,38691.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))*.
% 299.87/300.54  80290[0:SpR:3732.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))*.
% 299.87/300.54  80445[0:Res:1016.1,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))),v)))*.
% 299.87/300.54  80428[0:SpR:9489.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),u)))*.
% 299.87/300.54  80298[0:SpR:9489.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.54  80394[0:SpR:9490.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.54  80385[0:SpR:3732.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w)),v)),w))*.
% 299.87/300.54  69127[0:Res:3729.1,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.54  42213[0:SpR:12874.1,3709.1] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),w)**.
% 299.87/300.54  80255[0:SpR:3732.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.54  59884[0:MRR:59834.1,27708.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))).
% 299.87/300.54  69611[0:Res:5746.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_fequal(w),x))*.
% 299.87/300.54  42182[0:SpR:3709.1,13412.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),u)*.
% 299.87/300.54  59470[0:MRR:59411.1,3722.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))).
% 299.87/300.54  42161[0:SpR:3709.1,15222.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(c_Nat_OSuc,u))**.
% 299.87/300.54  69693[0:Res:5848.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf60(c_Int_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  69688[0:Res:54454.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf49(c_Int_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  80263[0:SpR:9489.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf64(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf50(skf64(v))))*.
% 299.87/300.54  29429[4:MRR:29233.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))*.
% 299.87/300.54  42184[0:SpR:5744.1,3709.1] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v)*.
% 299.87/300.54  68029[0:Res:437.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))),v))*.
% 299.87/300.54  19302[0:SpR:276.0,575.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.54  71417[0:Rew:999.1,71311.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.54  71142[0:Rew:1659.1,71041.1] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.54  80705[0:Res:1608.0,1032.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.54  78970[0:SSi:78822.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.54  43330[0:Obv:43300.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,w)* -> equal(hAPP(c_Polynomial_Ocoeff(u,x),y),hAPP(c_Polynomial_Ocoeff(u,v),y))*.
% 299.87/300.54  42497[0:SpR:5744.1,685.2] class_Rings_Oidom(u) || equal(v,w)* equal(w,c_Groups_Ozero__class_Ozero(u))* -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  49829[0:SpR:752.2,558.2] class_Groups_Ogroup__add(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Groups_Ozero__class_Ozero(u),w).
% 299.87/300.54  80736[0:Rew:687.1,80678.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.54  80125[0:Rew:687.1,80079.2] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))*.
% 299.87/300.54  78984[0:Rew:687.1,78893.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))**.
% 299.87/300.54  46602[0:Rew:687.1,46522.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))**.
% 299.87/300.54  69756[4:MRR:69528.1,8759.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf49(c_fNot))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  20442[0:SpL:590.1,464.1] class_Rings_Oring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.54  56991[0:MRR:56950.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || equal(skf44(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),u)**.
% 299.87/300.54  54990[0:MRR:54989.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u).
% 299.87/300.54  69414[0:Rew:18124.0,69413.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.54  43558[0:SpR:15222.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x)),y),c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,c_Int_Onat__aux(w,x),hAPP(v,y)))*.
% 299.87/300.54  43699[0:Obv:43549.0] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,w,hAPP(v,hAPP(v,x))))*.
% 299.87/300.54  43574[0:SpR:5744.1,739.1] class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,x,hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,x,y,hAPP(x,v)))*.
% 299.87/300.54  43552[0:SpR:5744.1,739.1] class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,x,hAPP(c_Nat_OSuc,v),y),c_Nat_Osemiring__1__class_Oof__nat__aux(u,x,w,hAPP(x,y)))*.
% 299.87/300.54  71892[0:SpR:959.1,507.1] class_Rings_Osemiring__1(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.54  42434[0:SpR:5744.1,736.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.54  71940[0:SpL:959.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> SkP2(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))*.
% 299.87/300.54  71941[0:SpL:959.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> SkP1(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))*.
% 299.87/300.54  42421[0:SpR:736.1,5744.1] class_Rings_Osemiring__1(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.54  42441[0:SpL:736.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v),w)*.
% 299.87/300.54  42442[0:SpL:736.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v),w)*.
% 299.87/300.54  26459[0:SpL:3690.1,3744.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf44(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  47951[0:Rew:2544.0,47841.1] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(c_Nat_OSuc,w))**.
% 299.87/300.54  46967[0:Rew:2544.0,46915.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  46864[0:Rew:2544.0,46817.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.87/300.54  61261[0:Rew:276.0,61191.2,2544.0,61191.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.54  80393[0:SpR:9489.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),u)),skf50(skf64(v))))*.
% 299.87/300.54  58942[0:SpR:2526.0,1901.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))*.
% 299.87/300.54  27621[0:Res:3721.1,1907.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),v))),c_Int_Onat__aux(skf48(c_fequal(u)),v))**.
% 299.87/300.54  27415[0:Res:3681.1,1907.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,skf50(c_Int_Onat__aux(skf48(c_fequal(v)),u))),c_Int_Onat__aux(skf48(c_fequal(v)),u))**.
% 299.87/300.54  52373[0:Rew:10199.1,52372.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(u,v).
% 299.87/300.54  67377[0:Res:54125.0,1900.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))*.
% 299.87/300.54  80299[0:SpR:9490.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf50(skf64(u)))))*.
% 299.87/300.54  30197[0:Res:18644.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(c_Int_Onat__aux(skf48(c_fequal(skf64(u))),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  30149[0:Res:18522.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(c_Int_Onat__aux(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  48968[0:SpR:815.1,556.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))**.
% 299.87/300.54  49265[0:SpR:813.1,556.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))**.
% 299.87/300.54  69621[0:Res:54466.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf49(c_fNot))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_fNot,w)).
% 299.87/300.54  10436[0:SpL:448.2,464.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(v) || equal(w,c_Groups_Ozero__class_Ozero(u))* hBOOL(w)* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.54  63197[0:Res:922.2,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP0(v,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> .
% 299.87/300.54  48380[4:Res:41857.1,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(hAPP(c_Nat_OSuc,u),v)))* -> hBOOL(hAPP(c_Nat_OSuc,u)) equal(skf55(hAPP(c_Nat_OSuc,u),v),u).
% 299.87/300.54  65631[0:Res:939.2,568.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  72033[0:SpR:957.1,509.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.54  72047[0:SpR:957.1,508.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v))))*.
% 299.87/300.54  71891[0:SpR:959.1,509.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.54  71905[0:SpR:959.1,508.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.54  54078[0:SpL:555.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.54  54096[0:SpL:556.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  43834[0:SpR:742.0,508.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(v,w)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(u)),v),w)))*.
% 299.87/300.54  41096[0:AED:109.0,41091.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))))))*.
% 299.87/300.54  28520[0:AED:109.0,28501.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))))))*.
% 299.87/300.54  10480[0:SpL:402.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.54  10483[0:SpL:409.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.54  61363[0:SpR:18862.1,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.54  61172[0:SpR:18862.1,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> SkP0(w,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),x)),x))*.
% 299.87/300.54  20414[0:SpR:590.1,503.2] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  20441[0:SpL:590.1,502.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  77068[0:MRR:77067.2,10206.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) SkP2(c_Nat_OSuc,skf50(u),v)* -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.54  57334[0:SSi:57318.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Polynomial_OpCons(tc_Nat_Onat),skf50(u)),c_Polynomial_Omonom(tc_Nat_Onat,v,w)),c_Polynomial_Omonom(tc_Nat_Onat,v,hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.54  47361[0:SSi:47327.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))**.
% 299.87/300.54  25318[0:Rew:602.0,25310.1] || hBOOL(hAPP(u,hAPP(v,skf47(w))))* -> hBOOL(hAPP(u,hAPP(v,skf60(hAPP(hAPP(c_COMBB(x,y,z),u),v)))))*.
% 299.87/300.54  24463[0:Res:576.2,16218.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf47(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.54  69692[3:Res:5849.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf47(c_fNot))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  66337[8:SpR:49088.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.54  66418[8:SpL:49088.0,650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)).
% 299.87/300.54  68503[8:Res:49083.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat))).
% 299.87/300.54  66378[8:SpR:49088.0,651.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.54  66453[8:SpL:49088.0,650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))).
% 299.87/300.54  25320[0:Rew:602.0,25307.1] || hBOOL(hAPP(u,hAPP(v,skf57(w))))* -> hBOOL(hAPP(u,hAPP(v,skf60(hAPP(hAPP(c_COMBB(x,y,z),u),v)))))*.
% 299.87/300.54  24461[0:Res:576.2,12380.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf57(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.54  79108[0:SpR:1074.0,29832.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))))*.
% 299.87/300.54  79106[0:SpR:1074.0,16179.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))))*.
% 299.87/300.54  67806[0:SpL:414.0,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(u,v).
% 299.87/300.54  72314[0:Obv:72270.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))**.
% 299.87/300.54  72319[0:Obv:72252.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.54  74181[0:SSi:74113.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))*.
% 299.87/300.54  78535[0:SpR:1073.0,29814.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.54  78533[0:SpR:1073.0,16181.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.54  72489[0:SSi:72416.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))**.
% 299.87/300.54  72485[0:SSi:72434.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))**.
% 299.87/300.54  72322[0:SSi:72242.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))**.
% 299.87/300.54  72318[0:SSi:72260.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))**.
% 299.87/300.54  10879[0:Rew:262.0,10814.0] || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf34(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.54  43887[0:SpR:2170.1,742.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Int_Onat),u),hAPP(hAPP(y,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.54  44019[0:SpR:2170.1,742.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Int_Onat),y),u),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(y,u)))**.
% 299.87/300.54  42230[0:SpL:3709.1,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.54  42071[0:SpL:3705.1,14860.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(c_Nat_OSuc,skf52(u,v)),v) -> .
% 299.87/300.54  72482[0:Obv:72444.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))**.
% 299.87/300.54  72486[0:Obv:72426.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.54  25321[0:Rew:602.0,25304.1] || hBOOL(hAPP(u,hAPP(v,c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(u,hAPP(v,skf60(hAPP(hAPP(c_COMBB(w,x,y),u),v)))))*.
% 299.87/300.54  24459[0:Res:576.2,4192.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.54  29792[2:MRR:29785.2,9233.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.54  29956[2:MRR:29945.2,9233.1] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.54  69197[0:Res:64780.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.54  19024[0:Rew:551.0,19005.1] || hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,skf47(hAPP(c_COMBC(v,w,x,u),y)))),y))* -> hBOOL(hAPP(hAPP(u,z),y))*.
% 299.87/300.54  19023[0:Rew:551.0,19009.1] || hBOOL(hAPP(hAPP(u,skf57(hAPP(c_COMBC(v,w,x,u),y))),y))* -> hBOOL(hAPP(hAPP(u,skf48(c_fequal(z))),y))*.
% 299.87/300.54  63503[0:SpL:458.1,924.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,u)* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  63362[0:SpL:490.1,925.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,u)* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  61417[0:Rew:2545.0,61343.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.54  61265[0:Rew:2545.0,61152.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),w))*.
% 299.87/300.54  52115[0:MRR:52108.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u)),u)**.
% 299.87/300.54  43991[0:SpR:9370.1,742.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Nat_OSuc),skf50(u)),hAPP(hAPP(y,skf50(u)),u))*.
% 299.87/300.54  44123[0:SpR:9370.1,742.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Nat_OSuc),y),skf50(u)),hAPP(u,hAPP(y,skf50(u))))*.
% 299.87/300.54  40758[0:SpR:10146.1,6450.1] || equal(skf48(c_fequal(skf50(u))),v) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.54  40800[0:SpL:10146.1,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(u)),w)).
% 299.87/300.54  40801[0:SpL:10146.1,14860.1] || equal(skf48(c_fequal(skf50(u))),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(c_Nat_OSuc,v))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  40844[0:Rew:40747.1,40817.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,hAPP(c_Nat_OSuc,w)).
% 299.87/300.54  26246[0:SpL:3690.1,3741.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf44(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  71647[0:SpL:616.2,24466.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(w) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  71648[0:SpL:617.2,24466.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  71794[0:Res:725.2,24466.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  71795[0:Res:724.2,24466.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  55658[0:SpR:837.1,683.2] class_Rings_Oring__1(u) class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),v)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.54  55570[0:SSi:55539.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  41081[0:SpR:690.2,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(w,v)* -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.54  41089[0:SpL:690.2,334.0] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) -> SkP2(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w)*.
% 299.87/300.54  40755[0:SpR:10146.1,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(v))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.54  40756[0:SpR:10146.1,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(v))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.54  40791[0:SpR:12874.1,10146.1] || equal(u,skf50(v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.54  40325[0:SpL:5744.1,700.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  40329[0:SpL:5744.1,700.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.54  40231[0:SpL:5744.1,1656.0] || equal(u,v)* equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.54  39706[0:SpL:12874.1,12944.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.54  39719[0:SpL:5744.1,12944.0] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  39734[0:SpL:5744.1,12944.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),u))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  39572[0:SpL:12874.1,12943.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(w)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.54  39432[0:SpL:5744.1,1650.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  39436[0:SpL:2135.1,1650.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.54  39438[0:SpL:5744.1,1650.0] || equal(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  69690[8:Res:19253.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  69722[0:Rew:47909.0,69498.1] || hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),v)** -> hBOOL(hAPP(u,x))*.
% 299.87/300.54  41930[0:Rew:551.0,41612.1] || hBOOL(hAPP(hAPP(u,v),w))* -> hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.54  40820[0:SpL:10146.1,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(w)),v))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,skf50(w)).
% 299.87/300.54  40228[0:SpL:5744.1,1656.0] || equal(u,v)* equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  39567[0:SpL:5744.1,12943.0] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  39582[0:SpL:5744.1,12943.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),u))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  43863[0:SpR:2117.1,742.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Nat_OSuc),u),hAPP(hAPP(y,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.54  43995[0:SpR:2117.1,742.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Nat_OSuc),y),u),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(y,u)))**.
% 299.87/300.54  69376[0:SpR:3736.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  62414[0:SpR:219.0,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,skf44(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.54  41494[0:SpL:5744.1,735.0] || equal(u,v)* hBOOL(hAPP(w,u))* -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.54  41283[0:SpR:5744.1,1649.2] || equal(u,skf55(v,w))* hBOOL(hAPP(w,v))* -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(w,hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.54  41298[0:SpR:5744.1,1649.2] || equal(u,hAPP(c_Nat_OSuc,skf55(v,w)))* hBOOL(hAPP(w,v)) -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(w,u))*.
% 299.87/300.54  71814[0:Res:788.1,24466.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  41281[0:SpR:2117.1,1649.2] || equal(skf55(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.54  41932[0:Rew:602.0,41621.1] || hBOOL(hAPP(u,hAPP(v,w)))* -> hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.54  41348[0:Res:1649.2,288.0] || hBOOL(hAPP(hAPP(c_fconj,u),v)) -> hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_fconj,u))))*.
% 299.87/300.54  41929[4:MRR:41493.2,41857.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.54  41773[0:Res:428.2,735.0] class_Orderings_Oorder(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.54  41776[0:Res:1639.2,735.0] class_Orderings_Olinorder(u) || equal(v,w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.54  41934[4:MRR:41516.1,41857.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.54  41652[0:Res:40052.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.54  63164[2:SpR:52124.1,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  63008[2:SpL:52124.1,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* SkP0(v,u) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.54  64770[0:Res:64734.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(skf64(u))),v)),skf48(c_fequal(skf64(u)))))*.
% 299.87/300.54  42774[0:SpR:686.1,5744.1] class_Rings_Oidom(u) || equal(v,w)* -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(c_Polynomial_Opoly(u,x),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  42785[0:SpL:686.1,334.0] class_Rings_Oidom(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Polynomial_Opoly(u,x),w,v)*.
% 299.87/300.54  42786[0:SpL:686.1,333.0] class_Rings_Oidom(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(c_Polynomial_Opoly(u,x),w,v)*.
% 299.87/300.54  64363[2:SpR:63796.1,742.0] || equal(u,skf49(c_fNot)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Int_Onat),y),u),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,u)))**.
% 299.87/300.54  64364[2:SpR:63796.1,742.0] || equal(u,skf49(c_fNot)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Int_Onat),u),hAPP(hAPP(y,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.54  41820[0:Res:5837.1,735.0] || equal(u,skf48(c_fNot)) -> hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,u),v)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.54  68806[0:SpR:3724.0,3736.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  71661[0:SpL:685.2,24466.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Polynomial_Osmult(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  77090[0:MRR:77089.1,1981.0] || SkP2(hAPP(c_Power_Opower_Opower(u,v,w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),y)* -> hBOOL(hAPP(v,y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),y)).
% 299.87/300.54  80262[0:SpR:9503.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf64(v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  80259[0:SpR:6938.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  80392[0:SpR:9503.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  66868[0:Rew:66857.1,66780.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,skf64(v)))))*.
% 299.87/300.54  66860[0:Rew:66857.1,66839.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> .
% 299.87/300.54  66811[0:SpR:414.0,2543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.54  57403[0:Res:6728.1,12635.0] || equal(skf48(c_fequal(skf48(c_fequal(skf58(c_fNot))))),skf48(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_fNot,u)).
% 299.87/300.54  52042[0:SSi:52034.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* hBOOL(hAPP(v,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.87/300.54  51404[8:Res:19779.1,12635.0] || equal(hAPP(c_Nat_OSuc,skf48(c_fequal(skf58(c_Int_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.54  51406[0:Res:6866.1,12635.0] || equal(skf48(c_fequal(skf48(c_fequal(skf58(c_Int_Onat))))),skf48(c_Int_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.54  54307[0:Res:831.2,51176.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.54  50049[0:SSi:49960.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.54  50036[0:SSi:49994.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.54  49904[0:SSi:49819.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.54  49892[0:SSi:49852.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.54  75196[0:SSi:75150.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.54  73706[0:SSi:73668.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.54  53374[0:Res:12637.0,327.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.54  78308[0:SSi:78160.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))*.
% 299.87/300.54  67252[0:SpL:412.0,965.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.54  67141[0:SpL:412.0,966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.54  55152[0:SSi:55137.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.54  54211[0:Res:825.2,51176.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf49(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.54  75308[0:SSi:75267.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.54  73824[0:SSi:73774.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.54  51743[0:SSi:51739.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  64747[0:Res:64651.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(skf64(u))),v)),skf48(c_fequal(skf64(u)))))*.
% 299.87/300.54  53358[0:Res:12637.0,25507.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.54  53361[0:Res:12637.0,326.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.87/300.54  67489[0:Res:54147.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))*.
% 299.87/300.54  67485[0:Res:4896.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))*.
% 299.87/300.54  79771[0:SSi:79720.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.87/300.54  50173[0:SSi:50141.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(skf48(c_fequal(skf56(u,v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)).
% 299.87/300.54  74515[0:SSi:74462.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.54  57407[0:Res:6728.1,839.0] || equal(skf48(c_fequal(skf62(c_fNot,u))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,hAPP(c_Int_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  53246[0:SpR:18711.1,12637.0] ||  -> SkP0(u,v)* hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(w,v))),v)**.
% 299.87/300.54  53392[0:Res:12637.0,331.0] || equal(u,hAPP(c_Int_Onat,v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))),v)**.
% 299.87/300.54  51733[0:Res:525.2,828.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  50051[0:SSi:49944.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  50050[0:SSi:49945.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  50037[0:SSi:49992.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.54  49906[0:SSi:49803.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  49905[0:SSi:49804.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  49893[0:SSi:49850.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.54  47280[0:SpR:808.2,390.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.54  76509[15:SpR:76473.0,12637.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),u))),u)**.
% 299.87/300.54  67741[15:SpR:67619.0,12637.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),u))),u)**.
% 299.87/300.54  63285[0:Res:12637.0,21175.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))),u)** SkP1(w,v,hAPP(c_Int_Onat,u))*.
% 299.87/300.54  62981[0:Res:12637.0,9638.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))),u)** SkP1(w,v,hAPP(c_Int_Onat,u))*.
% 299.87/300.54  53348[0:Res:12637.0,334.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(v,w),u))),u)** SkP2(v,w,hAPP(c_Int_Onat,u)).
% 299.87/300.54  53349[0:Res:12637.0,333.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(v,w),u))),u)** SkP1(v,w,hAPP(c_Int_Onat,u)).
% 299.87/300.54  53362[0:Res:12637.0,25381.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.87/300.54  53363[0:Res:12637.0,25382.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.54  53375[0:Res:12637.0,11888.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.87/300.54  53376[0:Res:12637.0,25570.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.54  53390[0:Res:12637.0,336.0] || equal(hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))),u)**.
% 299.87/300.54  74340[0:SSi:74278.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.54  51660[0:Res:525.1,830.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  51666[0:Res:515.2,830.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  50035[0:SSi:49998.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.54  49891[0:SSi:49856.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.54  75309[0:SSi:75249.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.54  75235[0:Res:19551.1,735.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.54  75197[0:SSi:75132.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.54  73825[0:SSi:73756.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  73707[0:SSi:73650.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  10878[0:Rew:268.0,10816.0] || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf34(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  43889[0:SpR:2169.1,742.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Int_Onat),u),hAPP(hAPP(y,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.54  44021[0:SpR:2169.1,742.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Int_Onat),y),u),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,u)))**.
% 299.87/300.54  46644[0:SpR:3704.0,2673.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))**.
% 299.87/300.54  46464[0:SpR:3703.0,2673.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))**.
% 299.87/300.54  39601[0:SSi:39566.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),skf48(c_fequal(u))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  50048[0:SSi:49963.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf56(u,v)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v).
% 299.87/300.54  49903[0:SSi:49822.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(skf56(u,v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v).
% 299.87/300.54  10819[0:SpL:5859.1,441.0] || equal(skf35(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf34(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))*.
% 299.87/300.54  18949[0:SpL:5859.1,492.0] || equal(skf33(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(hAPP(u,skf33(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)).
% 299.87/300.54  18909[0:SpL:5859.1,492.0] || equal(skf33(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(hAPP(u,skf33(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u).
% 299.87/300.54  25322[0:Rew:602.0,25303.1] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(u,hAPP(v,skf60(hAPP(hAPP(c_COMBB(w,x,y),u),v)))))*.
% 299.87/300.54  24458[0:Res:576.2,4191.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf60(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))*.
% 299.87/300.54  29530[0:SpR:12611.1,12933.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u)),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))**.
% 299.87/300.54  77910[0:SSi:77855.1,77855.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))**.
% 299.87/300.54  51881[2:MRR:29784.2,51857.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.54  51884[2:MRR:29944.2,51857.1] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.54  29548[0:SpR:12611.1,12938.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  29614[0:SpL:12611.1,12937.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))*.
% 299.87/300.54  20772[0:SSi:20755.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.54  47722[0:SpR:3757.0,2673.1] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),w)**.
% 299.87/300.54  49397[0:SSi:49341.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  49394[0:SSi:49369.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))).
% 299.87/300.54  69755[4:MRR:69531.1,8759.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  111891[18:MRR:69554.0,111803.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w))*.
% 299.87/300.54  111892[18:MRR:69527.1,111803.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  111893[18:MRR:69502.1,111803.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Nat_OSuc,w)).
% 299.87/300.54  144143[18:Res:118137.1,12635.0] || equal(skf48(c_fequal(skf48(c_fequal(skf58(c_Nat_OSuc))))),skf48(c_Nat_OSuc)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Nat_OSuc,u)).
% 299.87/300.54  145427[0:Rew:10199.1,145232.2] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.54  146320[0:Res:75079.1,735.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.54  157338[0:Rew:2526.0,157332.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u))),u)**.
% 299.87/300.54  157780[0:Rew:2526.0,157776.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u))),u)**.
% 299.87/300.54  160427[18:Res:111821.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf49(c_Nat_OSuc))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Nat_OSuc,w)).
% 299.87/300.54  160418[4:Res:150394.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf47(c_Int_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  168425[0:Res:1608.0,1031.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)).
% 299.87/300.54  170047[0:SSi:169970.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(u))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))*.
% 299.87/300.54  170050[0:Rew:170048.0,169965.2] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u))**.
% 299.87/300.54  170062[0:MRR:170061.1,9522.0] || equal(u,skf64(v)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,skf50(u))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),skf64(v)))*.
% 299.87/300.54  170458[0:MRR:170399.1,243.0] || equal(skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v,w),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.54  170499[4:MRR:170498.1,8759.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.54  170848[0:MRR:170787.1,243.0] || equal(skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v,w),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.54  170889[4:MRR:170888.1,8759.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))*.
% 299.87/300.54  171728[0:SpR:411.1,1080.2] class_Power_Opower(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  171727[0:SpR:409.1,1080.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  172233[0:SpR:365.1,1093.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))**.
% 299.87/300.54  172460[0:SpR:369.1,1064.1] class_Rings_Ocomm__semiring__1(u) class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.54  172429[0:SpR:1064.1,608.2] class_Power_Opower(u) class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  172416[0:SpR:1064.1,553.1] class_Power_Opower(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  172633[0:SpR:1689.1,608.2] class_Groups_Omonoid__mult(u) class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  172620[0:SpR:1689.1,553.1] class_Groups_Omonoid__mult(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  173263[0:Obv:173116.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.54  173387[0:SSi:173386.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.87/300.54  174029[0:Rew:15222.0,174028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(skf48(c_fequal(c_Int_Onat__aux(u,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.87/300.54  176308[0:Res:510.1,1081.2] class_Rings_Olinordered__ring(u) class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf41(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v,w)))*.
% 299.87/300.54  176731[0:SSi:176661.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.54  176732[0:SSi:176610.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.54  176733[0:SSi:176609.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.54  176871[0:Res:390.1,1043.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.54  46261[2:MRR:46260.0,12497.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),skf48(c_fequal(u))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(v)),w)),skf48(c_fequal(v))))*.
% 299.87/300.54  176400[2:Res:146400.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.54  160570[2:Res:146398.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.54  163773[2:SSi:163725.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),hAPP(c_Int_Onat,skf48(c_fNot))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.54  161554[2:Res:64591.1,968.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u).
% 299.87/300.54  177343[0:SSi:177270.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* equal(w,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.54  177344[0:SSi:177269.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.54  177345[0:SSi:177266.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(w,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.54  177439[0:Res:390.1,1063.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.54  177763[0:SSi:177697.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.54  177764[0:SSi:177647.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  177765[0:SSi:177646.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  177771[0:MRR:61375.1,177770.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))))*.
% 299.87/300.54  177784[0:MRR:177783.2,69697.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.54  177885[0:Res:390.1,1062.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.54  178101[0:SSi:177899.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  178102[0:SSi:177819.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.54  178327[0:SSi:178258.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.54  178328[0:SSi:178257.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))*.
% 299.87/300.54  178329[0:SSi:178254.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.54  178330[0:SSi:178207.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  178331[0:SSi:178206.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  178332[0:SSi:178152.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.87/300.54  178450[0:Res:390.1,1042.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.54  179052[0:SSi:178910.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.87/300.54  179053[0:SSi:178822.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 299.87/300.54  179185[0:SpR:1082.1,608.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  179350[0:Obv:179191.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,w)),v)))*.
% 299.87/300.54  179863[0:SpL:1075.0,619.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))** -> equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  179528[0:SpR:1075.0,608.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),v),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  180302[4:Res:42157.0,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf44(u,v),skf44(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.54  180398[4:Res:61109.1,52846.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf44(u,v),skf44(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.54  180491[4:Res:61109.1,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,w)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf55(v,u),w)* hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  180490[0:Res:348.0,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf55(v,u)),w)))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  180489[0:Res:1909.0,1104.2] || hBOOL(hAPP(u,v))* hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> equal(skf55(v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  181738[0:Obv:181704.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Polynomial_Ocoeff(u,v),w)),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w))**.
% 299.87/300.54  182202[0:Obv:182192.0] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v,u)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  182203[0:Obv:182178.0] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),u)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v).
% 299.87/300.54  182685[0:Res:7329.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP1(v,hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u)).
% 299.87/300.54  182681[0:Res:300.1,53216.1] || equal(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.54  182966[0:SpL:179303.0,464.1] class_Orderings_Owellorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)),c_Orderings_Oord__class_OLeast(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)))))*.
% 299.87/300.54  183150[0:SpR:179305.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),z),hAPP(hAPP(x,z),y))**.
% 299.87/300.54  183149[0:SpR:179305.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),y),z),hAPP(x,hAPP(y,z)))**.
% 299.87/300.54  183144[0:SpR:179305.0,12637.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v))),v)**.
% 299.87/300.54  183489[0:SpL:179307.0,464.1] class_Orderings_Owellorder(u) || hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),c_Orderings_Oord__class_OLeast(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)))))*.
% 299.87/300.54  183760[0:Rew:414.0,183728.0] || equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> .
% 299.87/300.54  184510[0:SpR:294.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.54  184850[0:SpL:294.0,1893.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  185038[0:Rew:2545.0,185007.1,1878.0,185007.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.54  185040[0:Rew:1878.0,184966.2,2545.0,184966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.87/300.54  185685[0:SSi:185668.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.54  185686[0:SSi:185666.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.54  185730[0:SSi:185729.1,121.1] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.54  185771[0:SSi:185761.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Polynomial_Osmult(u),x),v))))*.
% 299.87/300.54  185772[0:SSi:185759.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),w),v)),x)))*.
% 299.87/300.54  185776[0:SSi:185775.1,121.1] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),v))*.
% 299.87/300.54  187592[0:Res:51668.1,735.0] ||  -> SkP0(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  187857[0:SpR:3664.2,2527.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) SkP1(x,skf68(u,w,v),v)*.
% 299.87/300.54  187749[0:SpR:285.0,3664.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_COMBK(x,y),u),w,v)),v)**.
% 299.87/300.54  188096[0:MRR:188028.1,3737.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(x,v,u)),u)** hBOOL(hAPP(x,w))*.
% 299.87/300.54  188097[0:MRR:187876.1,27707.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) SkP1(x,v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf68(u,w,v))))*.
% 299.87/300.54  188113[0:MRR:187705.1,3629.0] ||  -> hBOOL(hAPP(u,v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(u,w,c_Int_Onat__aux(skf48(c_fequal(w)),v))),c_Int_Onat__aux(skf48(c_fequal(w)),v))**.
% 299.87/300.54  188174[0:Res:51740.1,735.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  188430[0:SpR:3662.2,2527.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) SkP1(x,skf67(u,w,v),v)*.
% 299.87/300.54  188322[0:SpR:285.0,3662.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_COMBK(x,y),u),w,v)),v)**.
% 299.87/300.54  188669[0:MRR:188601.1,3737.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(x,v,u)),u)** hBOOL(hAPP(x,w))*.
% 299.87/300.54  188670[0:MRR:188449.1,27707.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) SkP1(x,v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf67(u,w,v))))*.
% 299.87/300.54  188686[0:MRR:188278.1,3629.0] ||  -> hBOOL(hAPP(u,v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(u,w,c_Int_Onat__aux(skf48(c_fequal(w)),v))),c_Int_Onat__aux(skf48(c_fequal(w)),v))**.
% 299.87/300.54  188921[0:Res:51669.1,735.0] ||  -> SkP0(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  25326[0:Rew:602.0,25297.1] || hBOOL(hAPP(u,hAPP(v,w)))* -> hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,skf48(hAPP(hAPP(c_COMBB(x,y,z),u),v))))))*.
% 299.87/300.54  24455[0:Res:576.2,384.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v))))))*.
% 299.87/300.54  43254[0:Res:725.2,384.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,w)))))*.
% 299.87/300.54  47945[0:Rew:47909.0,47886.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> equal(w,x).
% 299.87/300.54  47972[0:Rew:47909.0,47971.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))**.
% 299.87/300.54  47973[0:Rew:47972.0,47962.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v))))),w),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))))**.
% 299.87/300.54  50327[0:SpL:745.1,384.0] class_Groups_Oab__group__add(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.54  51109[0:Rew:741.1,51004.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.54  54451[0:Rew:741.1,54062.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.54  55336[0:Res:866.2,584.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.54  56732[0:Res:835.2,51176.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)))))*.
% 299.87/300.54  56844[0:Res:833.2,51176.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),skf49(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)))))*.
% 299.87/300.54  56833[0:Res:833.2,584.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.54  58427[0:Rew:815.1,58410.2] class_Rings_Ocomm__ring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w))* -> equal(v,x).
% 299.87/300.54  59674[0:Res:725.2,12183.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf60(v)),w))* equal(w,skf60(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  60555[0:Res:725.2,12538.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf48(v)),w))* equal(w,skf48(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  53206[0:Res:576.2,873.0] class_Orderings_Owellorder(tc_Int_Oint) || hBOOL(hAPP(u,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Orderings_Oord__class_OLeast(tc_Int_Oint,u)),w))*.
% 299.87/300.54  58428[0:Rew:813.1,58409.2] class_Groups_Oab__group__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w))* -> equal(v,x).
% 299.87/300.54  66673[0:SpR:408.1,947.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.54  58273[0:SpL:556.1,897.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))* -> equal(w,x).
% 299.87/300.54  58139[0:SpL:556.1,896.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))* -> equal(w,x).
% 299.87/300.54  43853[0:SpR:742.0,602.0] ||  -> equal(hAPP(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_COMBB(x,y,z)),x1),x2),x3),hAPP(x2,hAPP(hAPP(x1,x2),x3)))*.
% 299.87/300.54  44076[0:SpR:354.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  44077[0:SpR:355.1,742.0] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  44087[0:SpR:359.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  44088[0:SpR:360.1,742.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  43857[0:SpR:742.0,602.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_COMBB(x,y,z),x1)),x2),x3),hAPP(x1,hAPP(x3,hAPP(x2,x3))))*.
% 299.87/300.54  43895[0:SpR:2526.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Nat_OSuc),hAPP(c_Int_Onat,y)),hAPP(hAPP(x,hAPP(c_Int_Onat,y)),c_Int_Onat__aux(y,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.54  50340[0:SSi:50298.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  43902[0:SpR:266.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),y))*.
% 299.87/300.54  44027[0:SpR:2526.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Nat_OSuc),x),hAPP(c_Int_Onat,y)),hAPP(c_Int_Onat__aux(y,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,hAPP(c_Int_Onat,y))))*.
% 299.87/300.54  44034[0:SpR:266.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),hAPP(y,hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))))*.
% 299.87/300.54  44159[0:SpL:742.0,384.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z))* -> hBOOL(hAPP(hAPP(x,z),hAPP(c_Int_Onat,skf48(hAPP(x,z)))))*.
% 299.87/300.54  43944[0:SpR:354.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  43945[0:SpR:355.1,742.0] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  43954[0:SpR:363.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  43955[0:SpR:359.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  43956[0:SpR:360.1,742.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  43957[0:SpR:365.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  43823[0:SpR:742.0,443.1] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.54  43934[0:SpR:3732.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(y)),z))),y),hAPP(hAPP(x,y),z))**.
% 299.87/300.54  44066[0:SpR:3732.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),y))),z),x),hAPP(y,hAPP(z,x)))**.
% 299.87/300.54  76483[0:Rew:1004.1,76454.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,x)),w))*.
% 299.87/300.54  79356[0:SSi:79355.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,v),w)),x),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,w),v)),x))*.
% 299.87/300.54  44089[0:SpR:365.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  44086[0:SpR:363.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  43147[0:Res:724.2,384.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,w)))))*.
% 299.87/300.54  59675[0:Res:724.2,12183.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf60(v)),w))* equal(w,skf60(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  60556[0:Res:724.2,12538.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf48(v)),w))* equal(w,skf48(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  56832[0:Res:833.2,583.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.54  55335[0:Res:866.2,583.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.54  54959[0:Res:864.2,584.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.54  54958[0:Res:864.2,583.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.54  64522[0:Res:515.2,935.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.54  64581[0:Res:525.2,917.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.54  64515[0:Res:525.1,935.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.54  20091[0:SpL:554.1,384.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v)))))*.
% 299.87/300.54  15330[0:SpL:496.1,464.1] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.54  59757[0:Rew:687.1,59592.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  60635[0:Rew:687.1,60461.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  18318[0:SpL:495.1,384.0] class_Groups_Ozero(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_OpCons(u),skf37(u,v))))))*.
% 299.87/300.54  43846[0:SpR:742.0,594.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),z)),hAPP(y,z)),z)**.
% 299.87/300.54  43803[0:SpR:742.0,595.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),z)),hAPP(y,z)),z)**.
% 299.87/300.54  57981[0:MRR:57965.5,278.1] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))* c_Polynomial_Opos__poly(u,v)* c_Polynomial_Opos__poly(u,w) -> .
% 299.87/300.54  58268[0:SpL:595.1,897.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x),v)** -> equal(x,w).
% 299.87/300.54  58134[0:SpL:595.1,896.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x),v)** -> equal(x,w).
% 299.87/300.54  58429[0:Rew:812.1,58408.2] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w))* -> equal(v,x).
% 299.87/300.54  48480[0:AED:109.0,48460.2] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.54  79774[0:Rew:601.0,79721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  79263[0:Rew:1073.0,79102.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  78531[0:SpR:1073.0,414.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.54  79514[0:SSi:79513.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),w))*.
% 299.87/300.54  78662[0:Rew:601.0,78536.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))**.
% 299.87/300.54  79292[0:Rew:601.0,79184.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w)))*.
% 299.87/300.54  78692[0:SSi:78691.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),w)**.
% 299.87/300.54  78657[0:SSi:78656.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v))**.
% 299.87/300.54  49762[0:SSi:49677.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))**.
% 299.87/300.54  78658[0:Rew:19352.0,78576.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))**.
% 299.87/300.54  79798[0:SSi:79797.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v))),w))*.
% 299.87/300.54  79790[0:SSi:79789.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u))))*.
% 299.87/300.54  79681[0:SpR:414.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  79776[0:SSi:79689.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),v))*.
% 299.87/300.54  79460[0:SpR:414.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  79757[0:Res:1049.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  79535[0:SSi:79534.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))*.
% 299.87/300.54  79527[0:SSi:79526.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))).
% 299.87/300.54  79423[0:SpR:414.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  79718[0:SpR:414.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  79533[0:SSi:79532.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),v))*.
% 299.87/300.54  79773[0:SSi:79726.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v))).
% 299.87/300.54  79529[0:SSi:79528.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u))).
% 299.87/300.54  78178[0:SpR:1078.0,412.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.54  78299[0:Rew:1078.0,78227.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))*.
% 299.87/300.54  72159[0:Rew:957.1,72048.2] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72323[0:Rew:956.1,72230.2] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  39333[0:AED:109.0,39316.1] class_Groups_Ozero(u) || hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))))))*.
% 299.87/300.54  50324[0:SpL:745.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),x))* -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w),x).
% 299.87/300.54  78597[0:SpL:1073.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w).
% 299.87/300.54  49734[0:SpL:816.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),x)*.
% 299.87/300.54  49370[0:SpL:814.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  49545[0:SpL:812.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  49296[0:SpL:813.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  48998[0:SpL:815.1,334.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  79227[0:SpL:1074.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)).
% 299.87/300.54  45094[0:SpL:753.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w).
% 299.87/300.54  44956[0:SpL:1657.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w).
% 299.87/300.54  48862[0:SpL:746.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v),w)*.
% 299.87/300.54  48733[0:SpL:747.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v),w)*.
% 299.87/300.54  48049[0:SpL:12636.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(u,v))),w)*.
% 299.87/300.54  15963[0:Rew:550.1,15938.3] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.54  44091[0:SpR:393.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),y)),z),y),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,y)))**.
% 299.87/300.54  43959[0:SpR:393.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),z)),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  43822[0:SpR:742.0,550.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.54  44989[0:SSi:44945.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)))**.
% 299.87/300.54  45135[0:SSi:45085.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)))**.
% 299.87/300.54  56493[0:SSi:56470.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.87/300.54  54111[0:SpL:689.2,51176.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),x))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf49(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.54  51026[0:SpL:689.2,50956.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf46(c_Polynomial_Ocoeff(u,v))))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),x))*.
% 299.87/300.54  48042[0:SpR:5744.1,12636.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(v,w)))),w)**.
% 299.87/300.54  58165[0:SSi:58133.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),v)* -> equal(w,skf48(c_fequal(skf56(u,v))))*.
% 299.87/300.54  23824[0:SpL:558.2,12538.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  23817[0:SpL:558.2,12183.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  23489[0:SpL:598.2,12538.0] class_Groups_Oab__group__add(u) || equal(v,skf48(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23482[0:SpL:598.2,12183.0] class_Groups_Oab__group__add(u) || equal(v,skf60(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23619[0:SpL:597.2,12538.0] class_Groups_Ogroup__add(u) || equal(v,skf48(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23612[0:SpL:597.2,12183.0] class_Groups_Ogroup__add(u) || equal(v,skf60(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  47968[0:Rew:47909.0,47788.1] || equal(u,v) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.87/300.54  47894[0:SpL:3757.0,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))* -> equal(u,c_Int_Onat__aux(skf48(c_fequal(w)),x)).
% 299.87/300.54  26543[0:SpR:13147.1,12933.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))))*.
% 299.87/300.54  28217[0:SpL:13147.1,12642.0] || equal(skf48(c_fequal(u)),v)* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.54  48040[0:SpR:12874.1,12636.1] || equal(u,skf56(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(u))),w)*.
% 299.87/300.54  43847[0:SpR:742.0,558.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(u)),v),w),w)**.
% 299.87/300.54  43804[0:SpR:742.0,597.2] class_Groups_Ogroup__add(u) || equal(hAPP(v,w),w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(u)),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  43805[0:SpR:742.0,598.2] class_Groups_Oab__group__add(u) || equal(hAPP(v,w),w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(u)),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  43806[0:SpR:742.0,685.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Polynomial_Osmult(u)),z),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  58727[0:Obv:58717.0] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),c_Polynomial_Omonom(u,x,hAPP(c_Nat_OSuc,y)))* -> equal(w,c_Polynomial_Omonom(u,x,y)).
% 299.87/300.54  50302[0:SpR:745.1,5744.1] class_Groups_Oab__group__add(u) || equal(v,c_Polynomial_Omonom(u,w,x)) -> equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.54  50336[0:SSi:50322.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x))* -> equal(v,c_Polynomial_Omonom(u,w,x)).
% 299.87/300.54  50337[0:SSi:50318.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) || equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),x)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x),c_Polynomial_Omonom(u,v,w))*.
% 299.87/300.54  18958[0:SpL:408.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v)),c_Groups_Oone__class_Oone(u))** -> equal(v,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))).
% 299.87/300.54  18918[0:SpL:408.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(v,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Oone__class_Oone(u))** -> equal(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v).
% 299.87/300.54  18957[0:SpL:396.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.54  18917[0:SpL:396.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(v,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v).
% 299.87/300.54  18956[0:SpL:410.1,492.0] class_Groups_Ozero(u) || equal(hAPP(v,skf33(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.54  18916[0:SpL:410.1,492.0] class_Groups_Ozero(u) || equal(hAPP(v,skf33(v,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v).
% 299.87/300.54  72507[0:SSi:72506.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),skf48(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72503[0:SSi:72502.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),skf60(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72497[0:SSi:72496.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72493[0:SSi:72492.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf60(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72341[0:SSi:72340.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf48(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72337[0:SSi:72336.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf60(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72331[0:SSi:72330.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72327[0:SSi:72326.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf60(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72177[0:SSi:72176.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),skf48(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72173[0:SSi:72172.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),skf60(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.54  24392[0:SpL:590.1,561.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)))* -> equal(v,c_Int_Oring__1__class_Oof__int(u,w)).
% 299.87/300.54  24341[0:SpL:590.1,570.1] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)))* -> equal(v,c_Int_Oring__1__class_Oof__int(u,w)).
% 299.87/300.54  23932[0:SpL:590.1,560.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Int_Oring__1__class_Oof__int(u,v))*.
% 299.87/300.54  29331[0:Res:525.2,12641.0] class_Orderings_Olinorder(u) || equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.54  29325[0:Res:525.1,12641.0] class_Orderings_Olinorder(u) || equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.54  49832[0:SpR:752.2,659.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__semidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  73804[0:Res:972.2,467.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> .
% 299.87/300.54  73805[0:Res:972.2,469.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> .
% 299.87/300.54  73525[0:Res:952.2,467.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.54  73526[0:Res:952.2,469.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.54  29344[0:Res:515.2,12641.0] class_Orderings_Olinorder(u) || equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.54  58430[0:SSi:58397.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf48(c_fequal(skf56(u,v)))),v)** -> equal(w,u).
% 299.87/300.54  48025[0:SpR:12636.1,5744.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* equal(w,skf48(c_fequal(skf56(u,v))))* -> equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))*.
% 299.87/300.54  18970[0:SpL:405.1,492.0] class_RealVector_Oreal__normed__algebra(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.54  18971[0:SpL:407.1,492.0] class_Rings_Omult__zero(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.54  18930[0:SpL:405.1,492.0] class_RealVector_Oreal__normed__algebra(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.54  18931[0:SpL:407.1,492.0] class_Rings_Omult__zero(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.54  50003[0:SpL:748.2,334.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)*.
% 299.87/300.54  49861[0:SpL:752.2,334.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x)*.
% 299.87/300.54  57436[0:SSi:57415.0,121.1] class_Rings_Oidom(u) || equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  44154[0:SpL:742.0,684.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_OpCons(u)),y),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(z,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  44155[0:SpL:742.0,557.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),z),z)** -> equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  50123[0:SpL:5744.1,751.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.54  49941[0:SpR:748.2,5744.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(x,w)* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  49846[0:SpR:5744.1,752.2] class_Groups_Ogroup__add(u) || equal(v,w)* equal(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  50241[0:SpL:5744.1,749.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.54  48465[0:SpL:744.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) -> SkP2(hAPP(c_Polynomial_Osmult(u),x),v,w)*.
% 299.87/300.54  29278[0:SpL:414.0,12641.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))*.
% 299.87/300.54  48677[0:SpR:747.1,5744.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))* -> equal(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.54  48855[0:SpR:5744.1,746.1] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),x)**.
% 299.87/300.54  45087[0:SpR:5744.1,753.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  45129[0:Rew:753.0,45078.1] || equal(u,v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  44947[0:SpR:5744.1,1657.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  44981[0:Rew:1657.0,44938.1] || equal(u,v) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  44140[0:SpL:742.0,596.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(y,z),z).
% 299.87/300.54  44141[0:SpL:742.0,599.1] class_Groups_Oab__group__add(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(y,z),z).
% 299.87/300.54  49497[0:SpR:812.1,5744.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))*.
% 299.87/300.54  49249[0:SpR:813.1,5744.1] class_Groups_Oab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))*.
% 299.87/300.54  48952[0:SpR:815.1,5744.1] class_Rings_Ocomm__ring__1(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))*.
% 299.87/300.54  49676[0:SpR:816.1,5744.1] class_Groups_Oab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.54  49327[0:SpR:814.1,5744.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v))*.
% 299.87/300.54  48727[0:SpR:5744.1,747.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),x)**.
% 299.87/300.54  48717[0:SpR:5744.1,747.1] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),x)**.
% 299.87/300.54  48834[0:SpR:5744.1,746.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),x)**.
% 299.87/300.54  48805[0:SpR:746.1,5744.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))* -> equal(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))*.
% 299.87/300.54  18979[0:SpL:413.1,492.0] class_Groups_Omonoid__mult(u) || equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v)),c_Groups_Oone__class_Oone(u))** -> equal(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))).
% 299.87/300.54  18939[0:SpL:413.1,492.0] class_Groups_Omonoid__mult(u) || equal(hAPP(v,skf33(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)))),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v).
% 299.87/300.54  71533[0:SpR:71409.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.54  61924[0:SpR:49304.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.54  44024[0:SpR:308.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.54  71534[0:SpR:71409.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  61925[0:SpR:49304.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  43892[0:SpR:308.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  47748[0:SpR:3757.0,6450.1] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),w) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),x)),c_Int_Onat__aux(w,x))*.
% 299.87/300.54  56985[0:Rew:18347.0,56918.1] || equal(skf44(skf50(skf64(u)),c_Int_Onat__aux(v,skf64(u))),w)* -> equal(c_Int_Onat__aux(v,skf64(u)),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u))))*.
% 299.87/300.54  47843[0:SpR:12874.1,3757.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),x),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.54  47952[0:Rew:47909.0,47838.1] || equal(u,v) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(v)),x)),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))*.
% 299.87/300.54  56957[0:Res:16274.0,21751.0] || equal(skf44(skf60(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf60(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))))**.
% 299.87/300.54  56959[0:Res:16419.0,21751.0] || equal(skf44(skf48(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf48(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))))**.
% 299.87/300.54  56986[0:Rew:18347.0,56917.1] || equal(skf44(skf50(skf64(u)),hAPP(c_Nat_OSuc,skf64(u))),v)* -> equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u))),hAPP(c_Nat_OSuc,skf64(u)))**.
% 299.87/300.54  56952[0:Res:3537.0,21751.0] || equal(skf44(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),v)* -> equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.54  56951[0:Res:7330.0,21751.0] || equal(skf44(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),v)* -> equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.54  58767[0:Res:58532.0,21751.0] || equal(skf44(u,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),v)* -> equal(skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.54  47882[0:SpL:3757.0,18432.0] || equal(skf50(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w))))** -> .
% 299.87/300.54  50325[0:SpL:745.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),x))* -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w),x).
% 299.87/300.54  48050[0:SpL:12636.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(u,v))),w)*.
% 299.87/300.54  79228[0:SpL:1074.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)).
% 299.87/300.54  78598[0:SpL:1073.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w).
% 299.87/300.54  50004[0:SpL:748.2,333.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)*.
% 299.87/300.54  48466[0:SpL:744.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) -> SkP1(hAPP(c_Polynomial_Osmult(u),x),v,w)*.
% 299.87/300.54  45095[0:SpL:753.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w).
% 299.87/300.54  44957[0:SpL:1657.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w).
% 299.87/300.54  48863[0:SpL:746.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v),w)*.
% 299.87/300.54  48734[0:SpL:747.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v),w)*.
% 299.87/300.54  49371[0:SpL:814.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  49546[0:SpL:812.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  49297[0:SpL:813.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  48999[0:SpL:815.1,333.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)*.
% 299.87/300.54  49735[0:SpL:816.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),x)*.
% 299.87/300.54  49862[0:SpL:752.2,333.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x)*.
% 299.87/300.54  19515[0:Res:1630.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(v)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf60(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  19509[0:Res:1630.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(v)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf60(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  27659[0:SpR:13147.1,3722.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)))*.
% 299.87/300.54  59472[0:MRR:59438.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.54  41949[0:MRR:41661.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(v)),w),x)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.54  27775[0:SpL:13147.1,3730.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.54  26994[0:SpL:13147.1,12783.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.54  26900[0:SpR:13147.1,12782.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w))*.
% 299.87/300.54  59226[0:Res:520.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.54  56631[0:Res:844.2,583.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.54  56632[0:Res:844.2,584.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.54  26699[0:SpR:13147.1,12935.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(w))))*.
% 299.87/300.54  26639[0:SpL:13147.1,12934.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.54  43841[0:SpR:742.0,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),z),u)),v))*.
% 299.87/300.54  26687[0:SpR:13147.1,12935.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.54  26627[0:SpL:13147.1,12934.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))*.
% 299.87/300.54  26656[0:Res:540.0,12934.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* equal(skf48(c_fequal(u)),skf48(c_fequal(v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.54  52375[0:SSi:52362.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,v)))* hBOOL(hAPP(v,hAPP(c_Nat_OSuc,u))) -> equal(hAPP(c_Nat_OSuc,u),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,v)).
% 299.87/300.54  26755[0:SpL:13147.1,12937.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))*.
% 299.87/300.54  61801[0:Rew:18124.0,61800.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.54  26743[0:SpL:13147.1,12937.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.87/300.54  56551[0:Res:847.2,51176.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),skf49(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)))))*.
% 299.87/300.54  59872[0:Rew:18124.0,59871.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.54  26838[0:SpR:13147.1,12938.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.54  26850[0:SpR:13147.1,12938.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(w))))*.
% 299.87/300.54  28094[0:SpL:13147.1,3740.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.54  27584[0:SpR:13147.1,3721.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)))*.
% 299.87/300.54  59227[0:Res:533.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.54  73609[0:Res:991.2,1621.0] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> .
% 299.87/300.54  48366[0:SpL:5744.1,781.1] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> equal(w,v).
% 299.87/300.54  41424[0:MRR:41381.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))))*.
% 299.87/300.54  68030[0:Res:468.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v))*.
% 299.87/300.54  59257[0:Res:539.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.54  48388[0:Res:539.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v) equal(v,u).
% 299.87/300.54  41211[0:Res:579.1,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(u,hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(u,v).
% 299.87/300.54  26163[0:Res:539.0,650.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)))* equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.54  27828[0:Res:539.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.54  41186[0:SpL:2526.0,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) equal(u,hAPP(c_Int_Onat,v)).
% 299.87/300.54  71159[0:Rew:1661.1,71022.3,1659.1,71022.3] class_Rings_Oring(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.54  48576[0:SpL:5744.1,743.1] class_Groups_Ozero(u) || equal(v,w)* equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.87/300.54  50339[0:SSi:50301.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) || equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  50338[0:SSi:50317.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) || equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.54  50469[0:SpR:5744.1,779.2] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* equal(x,w).
% 299.87/300.54  50378[0:SpR:5744.1,776.2] class_Orderings_Olinorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* equal(x,w).
% 299.87/300.54  50238[0:SpL:5744.1,749.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))*.
% 299.87/300.54  50126[0:SpL:5744.1,751.1] class_Groups_Ogroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))*.
% 299.87/300.54  48354[0:SpL:5744.1,781.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> equal(w,v).
% 299.87/300.54  48364[0:SpL:2135.1,781.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))* -> equal(v,w).
% 299.87/300.54  58272[0:SpL:558.2,897.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),w)** -> equal(x,v)*.
% 299.87/300.54  58138[0:SpL:558.2,896.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),w)** -> equal(x,v)*.
% 299.87/300.54  56229[0:SSi:56217.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))* equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.54  69738[0:Rew:3724.0,69646.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),x))),w))*.
% 299.87/300.54  60826[0:Rew:60677.0,60660.1] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))*.
% 299.87/300.54  42235[0:SpL:3709.1,6391.0] || equal(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w)**.
% 299.87/300.54  60825[0:Rew:60717.0,60700.1] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))*.
% 299.87/300.54  69680[0:Res:300.1,3665.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.54  69469[0:SoR:6731.0,3665.2] || equal(u,skf48(c_fNot)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),u))* hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> .
% 299.87/300.54  69396[0:Res:3738.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),u))* -> .
% 299.87/300.54  69155[0:SSi:69115.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),u))* -> .
% 299.87/300.54  69643[0:Res:5747.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x))*.
% 299.87/300.54  56912[0:Res:348.0,21751.0] || equal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),u),w)* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u)**.
% 299.87/300.54  69670[0:Res:301.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP1(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),y)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),w))*.
% 299.87/300.54  69683[0:Res:7329.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP1(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),y)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,y),w))*.
% 299.87/300.54  69629[0:Res:40072.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w))*.
% 299.87/300.54  68693[0:Res:3720.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> .
% 299.87/300.54  42081[0:SpL:3705.1,6391.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(w,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,skf52(u,v))),u)**.
% 299.87/300.54  62818[0:SpL:5744.1,929.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))* -> equal(w,x).
% 299.87/300.54  78837[0:SpR:1059.0,418.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.54  46554[0:SpL:3703.0,17473.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))* -> equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)).
% 299.87/300.54  46476[0:SpR:3703.0,6450.1] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.54  46489[0:SpR:3703.0,13412.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.54  46465[0:SpR:3703.0,15222.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))**.
% 299.87/300.54  78959[0:Rew:1059.0,78890.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.54  46528[0:SpR:12874.1,3703.0] || equal(u,v) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.54  46558[0:SpL:3703.0,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))** -> equal(u,v).
% 299.87/300.54  52788[0:Res:575.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)).
% 299.87/300.54  46739[0:SpL:3704.0,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w))** -> equal(u,w).
% 299.87/300.54  46645[0:SpR:3704.0,15222.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)))**.
% 299.87/300.54  46735[0:SpL:3704.0,17473.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u))* -> equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)).
% 299.87/300.54  46656[0:SpR:3704.0,6450.1] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u),c_Int_Onat__aux(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))*.
% 299.87/300.54  46709[0:SpR:12874.1,3704.0] || equal(u,v) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v))**.
% 299.87/300.54  46670[0:SpR:3704.0,13412.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.54  62812[0:SpL:2526.0,929.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w))* -> equal(v,w).
% 299.87/300.54  79917[0:SpR:418.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.54  80633[0:SpL:418.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.54  80675[0:SpL:418.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.54  79875[0:SpR:418.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.54  56903[0:Res:322.0,21751.0] || equal(skf44(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),v)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.54  71422[0:Rew:999.1,71283.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))))*.
% 299.87/300.54  47408[0:SpL:5744.1,767.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))* -> equal(w,v).
% 299.87/300.54  77069[0:MRR:77026.0,226.1] || SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(v,u).
% 299.87/300.54  46343[0:SpR:5744.1,12957.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(w))))*.
% 299.87/300.54  47410[0:SpL:5744.1,767.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> equal(v,w).
% 299.87/300.54  46345[0:SpR:5744.1,12957.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(w))),u))*.
% 299.87/300.54  46954[0:SpR:5744.1,3714.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))*.
% 299.87/300.54  46840[0:SpL:6450.1,3713.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),c_Int_Onat__aux(v,w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))*.
% 299.87/300.54  46845[0:SpL:3754.1,3713.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))*.
% 299.87/300.54  46856[0:SpL:5744.1,3713.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))*.
% 299.87/300.54  46410[0:SpL:5744.1,12958.0] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(w))),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))*.
% 299.87/300.54  46938[0:SpR:6450.1,3714.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),c_Int_Onat__aux(v,w)))*.
% 299.87/300.54  46943[0:SpR:3754.1,3714.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.54  46854[0:SpL:5744.1,3713.0] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w)).
% 299.87/300.54  46408[0:SpL:5744.1,12958.0] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))*.
% 299.87/300.54  46847[0:SpL:3753.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))).
% 299.87/300.54  46950[0:SpR:13412.1,3714.1] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.54  46952[0:SpR:5744.1,3714.1] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.54  46945[0:SpR:3753.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,u))))*.
% 299.87/300.54  46852[0:SpL:13412.1,3713.0] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w)).
% 299.87/300.54  46385[0:SpL:12874.1,12958.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(w))),skf48(c_fequal(u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))*.
% 299.87/300.54  46398[0:SpL:12874.1,12958.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))*.
% 299.87/300.54  46333[0:SpR:12874.1,12957.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(w))))*.
% 299.87/300.54  46320[0:SpR:12874.1,12957.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(w))),skf48(c_fequal(u))))*.
% 299.87/300.54  46221[0:SpR:5744.1,12953.0] || equal(u,skf48(c_fequal(v))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(w))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.54  46226[0:SpL:12953.0,334.0] || hBOOL(hAPP(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v)),w)*.
% 299.87/300.54  46227[0:SpL:12953.0,333.0] || hBOOL(hAPP(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v)),w)*.
% 299.87/300.54  72167[0:SSi:72166.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  46176[0:SpR:12953.0,5744.1] || equal(u,skf48(c_fequal(v))) -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(w))),u))*.
% 299.87/300.54  72163[0:SSi:72162.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf60(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf60(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  47077[0:SpL:12874.1,12673.0] || equal(u,hAPP(c_Nat_OSuc,v))* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))*.
% 299.87/300.54  47082[0:SpL:5744.1,12673.0] || equal(u,skf48(c_fequal(hAPP(c_Nat_OSuc,v))))* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))*.
% 299.87/300.54  47079[0:SpL:5744.1,12673.0] || equal(u,v)* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(hAPP(c_Nat_OSuc,x)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.54  49800[0:SpR:752.2,5744.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(x,v)* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  49988[0:SpR:5744.1,748.2] class_Groups_Ogroup__add(u) || equal(v,w)* equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  48446[0:SpR:744.2,5744.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* equal(w,v)* -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),x),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  42383[0:Rew:687.1,42347.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.54  76858[0:SpR:272.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u) SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.87/300.54  78910[0:SpL:1059.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w).
% 299.87/300.54  78909[0:SpL:1059.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w).
% 299.87/300.54  29276[0:SpL:418.0,12641.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))*.
% 299.87/300.54  54992[0:MRR:54991.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u).
% 299.87/300.54  26029[0:Res:539.0,642.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* equal(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.87/300.54  66576[0:SpR:3723.1,613.2] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  66610[0:SpL:3723.1,612.1] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  54098[0:SpL:736.1,51176.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.87/300.54  43698[0:Rew:739.1,43592.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,x))**.
% 299.87/300.54  43697[0:Rew:739.1,43593.2] class_Lattices_Oboolean__algebra(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,x))**.
% 299.87/300.54  56617[0:SpR:302.1,844.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.54  56197[0:SpL:302.1,843.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.54  71986[0:Rew:959.1,71906.2] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.54  43589[0:SpR:273.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w,v))*.
% 299.87/300.54  71532[0:SpR:71409.1,739.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  61923[0:SpR:49304.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  43586[0:SpR:308.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  56528[0:SpR:302.1,847.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  56095[0:SpL:302.1,848.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.54  18941[0:SpL:1637.1,492.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(v,skf33(v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v).
% 299.87/300.54  18981[0:SpL:1637.1,492.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)).
% 299.87/300.54  71367[0:SpL:997.1,461.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  71096[0:SpL:1660.1,461.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  72893[0:SpL:999.1,462.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  72617[0:SpL:1659.1,462.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  76873[0:SpR:273.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.54  56189[0:SpL:302.1,843.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.54  56609[0:SpR:302.1,844.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  74516[0:SSi:74509.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u)))))*.
% 299.87/300.54  56616[0:SpR:5413.1,844.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.54  56196[0:SpL:5413.1,843.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.54  56527[0:SpR:5413.1,847.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  56094[0:SpL:5413.1,848.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.54  56608[0:SpR:5413.1,844.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  56188[0:SpL:5413.1,843.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.54  59291[0:SSi:59290.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))))*.
% 299.87/300.54  58946[0:SpR:15222.0,1901.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w)))),u))*.
% 299.87/300.54  56535[0:SpR:5413.1,847.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.54  56536[0:SpR:302.1,847.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.54  56102[0:SpL:5413.1,848.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.54  56103[0:SpL:302.1,848.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.54  77421[0:Res:54125.0,1898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u))))* -> .
% 299.87/300.54  26430[0:SpL:13147.1,3744.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  77864[0:SpL:1079.0,333.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w).
% 299.87/300.54  77863[0:SpL:1079.0,334.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w).
% 299.87/300.54  20469[0:Rew:590.1,20434.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)))*.
% 299.87/300.54  18969[0:SpL:406.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.54  18929[0:SpL:406.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.54  44075[0:SpR:351.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.54  43943[0:SpR:351.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.54  69661[0:Res:290.1,3665.0] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 299.87/300.54  22906[0:SpL:556.1,12538.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  22902[0:SpL:556.1,12183.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  23174[0:SpL:555.1,12538.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.54  23170[0:SpL:555.1,12183.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.54  19872[0:SpL:565.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  10485[0:SpL:444.1,464.1] class_Groups_Ocomm__monoid__add(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w))))*.
% 299.87/300.54  63027[0:SpL:3614.0,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) SkP0(v,skf48(c_fequal(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.87/300.54  20411[0:SpR:590.1,448.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.87/300.54  20440[0:SpL:590.1,447.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),c_Int_Oring__1__class_Oof__int(u,v))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  43585[0:SpR:20457.1,739.1] class_Rings_Oring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  44023[0:SpR:20457.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.54  43891[0:SpR:20457.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.54  61268[0:Rew:2545.0,61161.2] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),w))*.
% 299.87/300.54  44122[0:SpR:9385.1,742.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Nat_OSuc),y),skf50(u)),hAPP(u,hAPP(y,skf50(u))))*.
% 299.87/300.54  43990[0:SpR:9385.1,742.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Nat_OSuc),skf50(u)),hAPP(hAPP(y,skf50(u)),u))*.
% 299.87/300.54  66650[0:SSi:66646.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(tc_Nat_Onat,hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,skf50(u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))**.
% 299.87/300.54  72161[0:Rew:957.1,72026.1] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)))))*.
% 299.87/300.54  54011[0:SpL:615.2,51176.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.54  54097[0:SpL:613.2,51176.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.54  54106[0:SpL:699.2,51176.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),skf49(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.54  54529[0:MRR:54528.3,147.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.54  51013[0:SpL:609.2,50956.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf46(hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.54  23491[0:SpL:598.2,16218.0] class_Groups_Oab__group__add(u) || equal(v,skf47(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23621[0:SpL:597.2,16218.0] class_Groups_Ogroup__add(u) || equal(v,skf47(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  61056[0:Rew:687.1,60908.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  23175[0:SpL:555.1,16218.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.54  23826[0:SpL:558.2,16218.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  60988[0:Res:725.2,16218.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf47(v)),w))* equal(w,skf47(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  60989[0:Res:724.2,16218.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf47(v)),w))* equal(w,skf47(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  21097[0:Res:1630.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf47(v)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf60(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  22907[0:SpL:556.1,16218.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  72509[0:SSi:72508.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),skf47(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72499[0:SSi:72498.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf47(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72343[0:SSi:72342.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf47(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72333[0:SSi:72332.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf47(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72179[0:SSi:72178.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),skf47(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72169[0:SSi:72168.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf47(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf47(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  56960[0:Res:16420.0,21751.0] || equal(skf44(skf47(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf47(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))))**.
% 299.87/300.54  61202[8:SpR:48262.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),v)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.87/300.54  61353[8:SpR:48262.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),v)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.87/300.54  49104[8:SpR:48262.0,3705.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(c_Nat_OSuc,skf52(skf62(c_Int_Onat,skf47(c_Int_Onat)),u))),u)**.
% 299.87/300.54  61162[8:SpR:48262.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf47(c_Int_Onat),v)))*.
% 299.87/300.54  61313[8:SpR:48262.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf47(c_Int_Onat),v)))*.
% 299.87/300.54  49130[8:SpR:48262.0,3709.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) equal(c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))),u)**.
% 299.87/300.54  66399[8:SpR:49088.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,skf62(c_Int_Onat,skf47(c_Int_Onat)),hAPP(v,w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,v,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))**.
% 299.87/300.54  23488[0:SpL:598.2,12380.0] class_Groups_Oab__group__add(u) || equal(v,skf57(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23618[0:SpL:597.2,12380.0] class_Groups_Ogroup__add(u) || equal(v,skf57(w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  72505[0:SSi:72504.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),skf57(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72495[0:SSi:72494.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf57(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72339[0:SSi:72338.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf57(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72329[0:SSi:72328.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf57(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.54  72175[0:SSi:72174.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),skf57(u))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.54  72165[0:SSi:72164.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf57(u),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf57(u)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  56958[0:Res:16418.0,21751.0] || equal(skf44(skf57(u),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf57(u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))))**.
% 299.87/300.54  60367[0:Rew:687.1,60219.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  23173[0:SpL:555.1,12380.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.54  23823[0:SpL:558.2,12380.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  60299[0:Res:725.2,12380.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf57(v)),w))* equal(w,skf57(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  60300[0:Res:724.2,12380.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,skf57(v)),w))* equal(w,skf57(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf60(c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.54  19514[0:Res:1630.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(v)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf60(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  22905[0:SpL:556.1,12380.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.54  45974[0:SpL:5744.1,784.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.54  45356[0:SpR:5744.1,783.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.54  45295[0:SpR:5744.1,785.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.54  45990[0:Res:12782.1,784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)).
% 299.87/300.54  45378[0:Res:783.1,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.54  45317[0:Res:785.1,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.54  45570[0:SpL:5744.1,786.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.54  45157[0:SpR:5744.1,788.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))*.
% 299.87/300.54  45957[0:SpL:5744.1,784.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.54  45339[0:SpR:5744.1,783.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.54  45278[0:SpR:5744.1,785.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.54  48038[0:SpR:12589.1,12636.1] || equal(skf56(u,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.87/300.54  44709[0:Res:725.2,4192.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.54  44710[0:Res:724.2,4192.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.54  23485[0:SpL:598.2,4192.0] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23615[0:SpL:597.2,4192.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  46923[0:SpR:12545.1,3714.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf64(u))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),c_Int_Onat__aux(u,v)))*.
% 299.87/300.54  46825[0:SpL:12545.1,3713.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),c_Int_Onat__aux(u,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf64(u))).
% 299.87/300.54  46391[0:SpL:12545.1,12958.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(v))),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf64(u))).
% 299.87/300.54  46326[0:SpR:12545.1,12957.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),skf64(u))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(v))),u))*.
% 299.87/300.54  45960[0:SpL:5744.1,784.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)).
% 299.87/300.54  45573[0:SpL:5744.1,786.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.87/300.54  45342[0:SpR:5744.1,783.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))*.
% 299.87/300.54  45281[0:SpR:5744.1,785.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))*.
% 299.87/300.54  45160[0:SpR:5744.1,788.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),w))*.
% 299.87/300.54  42219[0:SpR:12545.1,3709.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(u))) equal(c_Int_Onat__aux(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(u))),v)**.
% 299.87/300.54  42060[0:SpR:12545.1,3705.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,skf52(skf64(u),v))),v)**.
% 299.87/300.54  46727[0:SpL:3704.0,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))** -> .
% 299.87/300.54  46546[0:SpL:3703.0,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))** -> .
% 299.87/300.54  44772[0:Rew:687.1,44637.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  19512[0:Res:1630.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf60(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  25445[0:Res:579.1,1641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.54  56818[0:SpR:305.1,833.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.54  56447[0:SpL:305.1,834.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.54  56717[0:SpR:305.1,835.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.54  56304[0:SpL:305.1,836.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.54  23172[0:SpL:555.1,4192.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.54  23820[0:SpL:558.2,4192.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.54  22904[0:SpL:556.1,4192.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.54  43588[0:SpR:263.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w,v))*.
% 299.87/300.54  45587[0:SpL:5744.1,786.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.54  45174[0:SpR:5744.1,788.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.54  56800[0:SpR:305.1,833.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  56429[0:SpL:305.1,834.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.54  46383[0:SpL:12589.1,12958.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))*.
% 299.87/300.54  46318[0:SpR:12589.1,12957.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(v))),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.54  47854[0:SpL:3757.0,14860.1] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),w)** -> .
% 299.87/300.54  56699[0:SpR:305.1,835.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.54  56286[0:SpL:305.1,836.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Oone__class_Oone(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.54  56955[0:Res:4986.0,21751.0] || equal(skf44(c_Groups_Oone__class_Oone(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))),u)* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.54  25325[0:Rew:602.0,25302.1] || hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,skf47(hAPP(hAPP(c_COMBB(w,x,y),u),v))))))* -> hBOOL(hAPP(u,hAPP(v,z)))*.
% 299.87/300.54  24457[0:Res:576.2,383.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w))*.
% 299.87/300.54  25324[0:Rew:602.0,25306.1] || hBOOL(hAPP(u,hAPP(v,skf57(hAPP(hAPP(c_COMBB(w,x,y),u),v)))))* -> hBOOL(hAPP(u,hAPP(v,skf48(c_fequal(z)))))*.
% 299.87/300.54  24460[0:Res:576.2,12569.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf57(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),skf48(c_fequal(w))))*.
% 299.87/300.54  52071[0:SpL:2526.0,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(hAPP(c_Int_Onat,v),u)),u).
% 299.87/300.54  42362[0:SpL:687.1,700.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  39451[0:Res:539.0,1650.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u))* equal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  26348[0:SpL:13147.1,3742.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  26217[0:SpL:13147.1,3741.0] || equal(skf48(c_fequal(u)),v)* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  18940[0:SpL:490.1,492.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v).
% 299.87/300.54  18980[0:SpL:490.1,492.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)).
% 299.87/300.54  77071[0:MRR:76955.5,2829.1] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Power_Opower__class_Opower(u),w,v)* SkP1(c_Power_Opower__class_Opower(u),w,v) -> hBOOL(c_Groups_Oone__class_Oone(u)).
% 299.87/300.54  71764[0:Res:779.2,24466.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  71765[0:Res:776.2,24466.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  58944[0:SpR:9370.1,1901.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u))*.
% 299.87/300.54  40815[0:SpL:10146.1,6391.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)),skf50(v))*.
% 299.87/300.54  53535[0:Rew:2117.1,53485.3] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.54  52371[0:Rew:2117.1,52312.3] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v).
% 299.87/300.54  63286[0:Res:12638.1,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))),v)** SkP1(w,u,hAPP(c_Int_Onat,v))*.
% 299.87/300.54  41756[0:Res:3623.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 299.87/300.54  48090[0:SpR:5744.1,12638.1] || equal(u,v)* hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(w,hAPP(c_Int_Onat,u)))* equal(skf48(c_fequal(skf62(w,v))),v)**.
% 299.87/300.54  48119[0:SpR:5744.1,12638.1] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(w,u))* equal(skf48(c_fequal(skf62(w,v))),v)**.
% 299.87/300.54  53481[0:MRR:53274.3,44829.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.54  39434[0:SpL:9487.0,1650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(skf50(skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  56525[0:SpR:5412.1,847.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  56526[0:SpR:303.1,847.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  56092[0:SpL:5412.1,848.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  56093[0:SpL:303.1,848.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  76673[2:SpR:52124.1,963.2] || SkP2(c_Int_Onat,u,v) SkP1(c_Int_Onat,u,v) -> hBOOL(u) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.54  48241[0:Res:12638.1,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(u,hAPP(c_Int_Onat,v)) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))),v)**.
% 299.87/300.54  28441[0:SpL:614.1,384.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_OpCons(u),v)))))*.
% 299.87/300.54  47510[0:SpL:5744.1,805.1] || equal(u,skf62(v,w))* hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(c_Int_Onat,x)))*.
% 299.87/300.54  71730[0:SpL:691.1,24466.0] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  47619[0:MRR:47569.0,287.1] hBOOL(skf62(hAPP(c_fconj,u),v)) || hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.54  48198[0:Res:12638.1,334.0] || hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(u,v),w))),w)** SkP2(u,v,hAPP(c_Int_Onat,w)).
% 299.87/300.54  48199[0:Res:12638.1,333.0] || hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(u,v),w))),w)** SkP1(u,v,hAPP(c_Int_Onat,w)).
% 299.87/300.54  71709[0:SpL:687.1,24466.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  41682[0:Res:26052.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.54  71692[0:SpL:741.1,24466.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  41778[0:Res:390.1,735.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,v),w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.54  63162[0:SpR:18711.1,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  63165[0:SpR:8586.1,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  63006[0:SpL:18711.1,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* SkP0(v,u) -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.54  63009[0:SpL:8586.1,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* SkP0(v,u) -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.54  63152[0:Res:63096.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.87/300.54  41741[0:Res:26285.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),v)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))*.
% 299.87/300.54  41589[0:SpL:393.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.54  53800[2:Res:12638.1,53554.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.54  53618[2:Res:12638.1,52308.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.54  41943[4:MRR:41558.1,41857.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.54  72829[0:SpR:999.1,458.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  72555[0:SpR:1659.1,458.1] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  71312[0:SpR:997.1,490.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  71042[0:SpR:1660.1,490.1] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  54006[0:SpL:686.1,51176.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),skf49(c_Polynomial_Opoly(u,w))))*.
% 299.87/300.54  43017[4:Res:41857.1,1650.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(skf55(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf55(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  71732[0:SpL:689.2,24466.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  43582[0:SpR:274.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Nat_Onat_Onat__case(v,w,x),hAPP(c_Nat_OSuc,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Nat_Onat_Onat__case(v,w,x),y,w))*.
% 299.87/300.54  43580[0:SpR:284.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w,v))*.
% 299.87/300.54  43564[0:SpR:283.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.54  44138[0:SpL:742.0,591.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,y),hAPP(x,y)))*.
% 299.87/300.54  44071[0:SpR:9504.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),x),skf64(y)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,skf64(y))))**.
% 299.87/300.54  43939[0:SpR:9504.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf64(y)),hAPP(hAPP(x,skf64(y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.54  43793[0:SpR:742.0,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(v,u)))* -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  51017[0:SpL:683.2,50956.0] class_Power_Opower(u) || equal(skf46(hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.54  50983[0:SpL:686.1,50956.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf46(c_Polynomial_Opoly(u,v)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),w))*.
% 299.87/300.54  54994[0:MRR:54993.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  77909[0:Rew:294.0,77878.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.54  62036[0:Rew:12609.0,62003.2] || equal(skf61(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.87/300.54  80404[0:SpR:3736.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.54  71644[0:SpL:686.1,24466.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  66857[0:Rew:2544.0,66856.1,12609.0,66856.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.54  52044[0:SSi:52024.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),skf48(c_fequal(v)))*.
% 299.87/300.54  51395[0:Res:301.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP1(v,skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w)))),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))*.
% 299.87/300.54  51401[0:Res:7329.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP1(v,skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w)))),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))*.
% 299.87/300.54  47195[0:SpL:5744.1,12726.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Int_Onat,v),w)* -> equal(v,skf48(c_fequal(w)))*.
% 299.87/300.54  51380[0:Res:5747.1,12635.0] || equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))*.
% 299.87/300.54  51400[0:Res:300.1,12635.0] || equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.87/300.54  47227[0:Res:3536.0,12726.0] || equal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* -> equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),skf48(c_fequal(u)))*.
% 299.87/300.54  51879[2:Res:12638.1,51414.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.54  79589[2:Res:12637.0,52038.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.54  53944[0:SSi:53937.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.54  47226[0:Res:20513.0,12726.0] || equal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),u)* -> equal(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),skf48(c_fequal(u)))*.
% 299.87/300.54  55159[0:SSi:55136.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.54  53837[0:Res:825.2,583.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.54  53838[0:Res:825.2,584.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.54  29309[0:Res:536.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,u)))* equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))*.
% 299.87/300.54  25536[0:SpR:13147.1,12816.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.54  53575[2:Res:12638.1,52144.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.54  80574[2:Res:12637.0,53848.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.54  77618[0:Res:54147.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))* -> .
% 299.87/300.54  77614[0:Res:4896.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))* -> .
% 299.87/300.54  62051[0:Rew:62042.1,62039.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.54  47279[0:SpR:5744.1,808.1] class_Rings_Oring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,w)),c_Int_Oring__1__class_Oof__int(u,w))**.
% 299.87/300.54  44495[0:Res:725.2,4191.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.54  44496[0:Res:724.2,4191.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.54  23484[0:SpL:598.2,4191.0] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  23614[0:SpL:597.2,4191.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),v))))*.
% 299.87/300.54  64134[0:SSi:64125.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(hAPP(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.87/300.54  53414[0:Res:12637.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(w,v))),v)** hBOOL(hAPP(w,c_Orderings_Oord__class_OLeast(u,w)))*.
% 299.87/300.54  51924[0:Res:827.2,583.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  51925[0:Res:827.2,584.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  51748[0:SSi:51726.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Int_Oring__1__class_Oof__int(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  47300[0:SpL:808.2,435.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  44845[0:SpR:5744.1,12675.1] || equal(u,skf63(v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v)*.
% 299.87/300.54  44850[0:SpR:12874.1,12675.1] || equal(u,hAPP(c_Nat_OSuc,skf63(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(u))),v)*.
% 299.87/300.54  77664[0:Res:12637.0,39778.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  77586[0:Res:12637.0,38559.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  77298[0:Res:12637.0,38551.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  75405[0:Res:12637.0,9640.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  75347[0:Res:12637.0,9639.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  74892[0:Res:12637.0,28830.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  74712[0:Res:12637.0,28828.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  74580[0:Res:12637.0,28283.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  55475[0:SSi:55462.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  51747[0:SSi:51738.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  44889[0:Rew:44809.1,44846.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),u)*.
% 299.87/300.54  44848[0:SpR:12589.1,12675.1] || equal(hAPP(c_Nat_OSuc,skf63(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u).
% 299.87/300.54  52464[0:Res:5747.1,839.0] || equal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  52479[0:Res:300.1,839.0] || equal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  47286[0:SpR:5744.1,808.2] class_Rings_Oring__1(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.54  78652[0:SSi:78605.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.54  79512[0:SSi:79435.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),w))*.
% 299.87/300.54  79510[0:SSi:79472.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.54  45737[0:SpL:5744.1,820.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.87/300.54  45226[0:SpR:5744.1,819.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),u))*.
% 299.87/300.54  43872[0:SpR:5859.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u),hAPP(hAPP(y,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.54  44004[0:SpR:5859.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),y),u),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(y,u)))**.
% 299.87/300.54  76861[0:SpR:268.0,963.2] || SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.54  44558[0:Rew:687.1,44423.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.54  69293[0:SpR:19349.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),y),hAPP(hAPP(x,y),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)))*.
% 299.87/300.54  69292[0:SpR:19349.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),y),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y),hAPP(x,y)))*.
% 299.87/300.54  76871[0:SpR:267.0,963.2] || SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  76958[0:SpR:19381.0,963.2] || SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  19511[0:Res:1630.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf60(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.54  23171[0:SpL:555.1,4191.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.54  23819[0:SpL:558.2,4191.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(u)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.54  22903[0:SpL:556.1,4191.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.54  46397[0:SpL:12586.1,12958.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.87/300.54  46332[0:SpR:12586.1,12957.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.87/300.54  43671[0:SpR:19381.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w,v))*.
% 299.87/300.54  43584[0:SpR:267.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w,v))*.
% 299.87/300.54  43565[0:SpR:1618.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.54  45726[0:SpL:5744.1,820.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.54  45215[0:SpR:5744.1,819.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  45723[0:SpL:5744.1,820.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.54  45212[0:SpR:5744.1,819.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.54  48057[0:Rew:414.0,48047.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(c_Groups_Oone__class_Oone(tc_Int_Oint),u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.54  52473[0:Res:301.0,839.0] ||  -> SkP1(u,skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  52480[0:Res:7329.1,839.0] ||  -> SkP1(u,skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.54  56954[0:Res:4868.0,21751.0] || equal(skf44(c_Groups_Ozero__class_Ozero(tc_Int_Oint),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),u)* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.87/300.54  78309[0:SSi:78254.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> .
% 299.87/300.54  79296[0:SSi:79121.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),w)**.
% 299.87/300.54  79287[0:SSi:79232.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),v)** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.54  29247[0:SpL:313.1,12641.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(c_Int_Onat,v)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),w))*.
% 299.87/300.54  153728[2:Res:12637.0,80546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.54  158427[0:Res:12637.0,63126.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.54  160419[23:Res:148527.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.54  161203[2:Res:12637.0,153797.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.54  170011[0:SpL:10145.1,333.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)))*.
% 299.87/300.54  170010[0:SpL:10145.1,334.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)))*.
% 299.87/300.54  169956[0:SpR:10145.1,46655.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),skf50(u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u))*.
% 299.87/300.54  170233[0:SSi:170221.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u)))*.
% 299.87/300.54  170391[0:Res:54466.1,1007.1] || equal(skf68(c_fNot,u,v),skf49(c_fNot))** hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.54  170482[4:MRR:170481.1,8759.0] || equal(skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.54  170491[18:MRR:170490.1,111803.0] || equal(skf68(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.54  170779[0:Res:54466.1,1010.1] || equal(skf67(c_fNot,u,v),skf49(c_fNot))** hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.54  170872[4:MRR:170871.1,8759.0] || equal(skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.54  170881[18:MRR:170880.1,111803.0] || equal(skf67(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.54  171408[0:Res:428.2,1086.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  171407[0:Res:1639.2,1086.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.54  172265[0:SpL:1093.1,51176.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf49(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))))).
% 299.87/300.54  172323[0:SpL:1683.1,333.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> SkP1(c_Polynomial_Osmult(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)).
% 299.87/300.54  172322[0:SpL:1683.1,334.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> SkP2(c_Polynomial_Osmult(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)).
% 299.87/300.54  172389[0:SpR:170043.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w,v))*.
% 299.87/300.54  172373[0:SpR:170043.0,963.2] || SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.54  172482[0:SpL:1064.1,333.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.54  172481[0:SpL:1064.1,334.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.54  172432[0:SpR:1064.1,360.1] class_Power_Opower(u) class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v))**.
% 299.87/300.54  172514[0:Rew:172509.0,68356.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.54  172687[0:SpL:1689.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.54  172686[0:SpL:1689.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.54  172915[0:SpL:1065.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),v)*.
% 299.87/300.54  172914[0:SpL:1065.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),v)*.
% 299.87/300.54  173204[0:SpL:1091.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))* -> SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),v)*.
% 299.87/300.54  173203[0:SpL:1091.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))* -> SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),v)*.
% 299.87/300.54  173174[0:SpL:1091.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> SkP2(c_Groups_Oplus__class_Oplus(u),v,v)*.
% 299.87/300.54  173271[0:Obv:173122.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))*.
% 299.87/300.54  173296[0:SSi:173295.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Int_Onat__aux(skf48(c_fequal(v)),v))* -> equal(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.54  173328[0:SSi:173327.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.54  173360[0:MRR:173055.2,173055.4,301.1,230.0] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,v)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))*.
% 299.87/300.54  173601[0:Res:428.2,1084.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.54  173600[0:Res:1639.2,1084.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.54  174518[0:Res:54466.1,1006.0] || equal(skf68(c_fNot,u,v),skf49(c_fNot))** -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.54  174847[0:Res:54466.1,1009.0] || equal(skf67(c_fNot,u,v),skf49(c_fNot))** -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.54  175094[0:SSi:175079.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.54  175242[0:SpR:174966.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),skf64(y)),hAPP(hAPP(x,skf64(y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.54  175241[0:SpR:174966.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x),skf64(y)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,skf64(y))))**.
% 299.87/300.54  175343[0:SSi:175330.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.54  175344[0:Obv:175316.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)))*.
% 299.87/300.54  175347[0:SSi:175272.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v))))*.
% 299.87/300.54  175621[0:SSi:175585.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))).
% 299.87/300.54  175687[0:SpR:175495.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf64(y)),hAPP(hAPP(x,skf64(y)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.54  175686[0:SpR:175495.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),skf64(y)),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(x,skf64(y))))**.
% 299.87/300.54  175902[0:SSi:175867.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))).
% 299.87/300.54  175903[0:Obv:175858.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)).
% 299.87/300.54  175906[0:SSi:175814.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)).
% 299.87/300.54  176389[18:Res:111821.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf49(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf41(c_Nat_OSuc,x,y)))*.
% 299.87/300.54  176387[8:Res:19253.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176386[3:Res:5849.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf47(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176385[0:Res:54454.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf49(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176384[0:Res:5848.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf60(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176380[4:Res:150394.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf47(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176348[0:Res:54466.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf49(c_fNot))** -> hBOOL(hAPP(c_fNot,skf41(c_fNot,x,y)))*.
% 299.87/300.54  176417[4:MRR:176188.3,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176418[4:MRR:176187.3,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf49(c_fNot))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176419[18:MRR:176186.3,111803.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.54  176422[18:MRR:176168.3,111803.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Nat_OSuc,skf41(c_Nat_OSuc,x,y)))*.
% 299.87/300.54  176439[0:Rew:272.0,176234.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),x,y))*.
% 299.87/300.54  176440[0:Rew:262.0,176233.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),x,y))*.
% 299.87/300.54  176441[0:Rew:268.0,176227.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(skf41(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y))*.
% 299.87/300.54  176500[0:Res:176401.0,21751.0] || equal(skf44(u,skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)),x)* -> equal(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 299.87/300.54  176735[0:SSi:176573.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.54  176772[0:Res:176536.0,21751.0] || equal(skf44(u,skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)),x)* -> equal(skf41(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 299.87/300.54  177055[0:SSi:176888.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.54  10510[0:SpL:414.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w))))*.
% 299.87/300.54  62032[0:SpL:12672.1,384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))))*.
% 299.87/300.54  48052[0:SpL:12636.1,384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)))))*.
% 299.87/300.54  19375[0:SpL:601.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.54  150013[2:SSi:149988.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))**.
% 299.87/300.54  76859[0:SpR:262.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u) SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.87/300.54  76872[0:SpR:263.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint)) SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.54  78257[0:SpL:1078.0,334.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w).
% 299.87/300.54  78258[0:SpL:1078.0,333.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w).
% 299.87/300.54  29277[0:SpL:412.0,12641.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))* equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))*.
% 299.87/300.54  176398[2:Res:146403.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> SkP0(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y,z)))*.
% 299.87/300.54  176399[2:Res:146399.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> SkP0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y,z)))*.
% 299.87/300.54  69618[10:Res:38833.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.54  69770[2:MRR:69511.1,4367.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.54  160702[2:Res:150018.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf49(c_fNot))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.54  170863[10:MRR:170862.0,38830.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.54  170473[10:MRR:170472.0,38830.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.54  44991[0:Rew:1657.0,44963.1,267.0,44963.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.87/300.54  177349[0:SSi:177252.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.54  177350[0:SSi:177248.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.54  177766[0:SSi:177593.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf50(skf64(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.54  178103[0:SSi:177902.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))*.
% 299.87/300.54  178333[0:SSi:178240.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.54  178334[0:SSi:178236.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.54  178335[0:SSi:178153.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf50(skf64(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.54  178625[0:SSi:178467.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))*.
% 299.87/300.54  179001[0:SpL:1092.2,334.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> SkP2(c_Groups_Otimes__class_Otimes(u),w,w)*.
% 299.87/300.54  178963[0:SpL:1092.2,334.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> SkP2(c_Groups_Otimes__class_Otimes(u),v,v)*.
% 299.87/300.54  179091[0:SSi:179090.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))*.
% 299.87/300.54  179109[0:MRR:178876.3,178876.5,301.1,230.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP2(c_Groups_Otimes__class_Otimes(u),w,w)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 299.87/300.54  179115[0:MRR:178788.3,178788.5,301.1,230.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP2(c_Groups_Otimes__class_Otimes(u),v,v)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))*.
% 299.87/300.54  179262[0:SpL:1082.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)) -> SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w))*.
% 299.87/300.54  179261[0:SpL:1082.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)) -> SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w))*.
% 299.87/300.54  179351[0:Rew:1704.1,179159.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w)))*.
% 299.87/300.54  179355[0:Obv:179192.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,w)),v))**.
% 299.87/300.54  179373[0:Rew:402.1,179239.3] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w))),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.54  179377[0:SSi:179376.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),w)))**.
% 299.87/300.54  179924[0:SpL:1075.0,384.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y)))* -> hBOOL(hAPP(hAPP(w,x),hAPP(c_Int_Onat,skf48(hAPP(w,x)))))*.
% 299.87/300.54  179867[0:SpL:1075.0,684.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.54  179856[0:SpL:1075.0,333.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y))) -> SkP1(w,x,hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y))*.
% 299.87/300.54  179855[0:SpL:1075.0,334.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y))) -> SkP2(w,x,hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y))*.
% 299.87/300.54  179626[0:SpR:210.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_COMBI(x)),u),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_COMBI(x)),u),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.54  179570[0:SpR:1075.0,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y))),v))*.
% 299.87/300.54  179520[0:SpR:1075.0,272.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))**.
% 299.87/300.54  179519[0:SpR:1075.0,262.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w))**.
% 299.87/300.54  179508[0:SpR:1075.0,268.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))**.
% 299.87/300.54  179478[0:SpR:1075.0,685.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.54  180305[0:Res:1608.0,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),skf44(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.54  180308[0:Rew:1878.0,180284.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf44(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.54  180400[0:Res:375.1,52846.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),skf44(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.54  180399[0:Res:1608.1,52846.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),skf44(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)).
% 299.87/300.54  180494[4:Res:43025.1,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,skf55(skf55(v,u),w)))* -> hBOOL(skf55(v,u)) hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  180493[0:Res:375.1,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(v,u)),w))* hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  180492[0:Res:1608.1,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,u)),w))* hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  180499[0:MRR:180485.1,220.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),skf55(v,u))))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.54  181212[0:SpR:210.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_COMBI(w)),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),hAPP(x,y)))*.
% 299.87/300.54  180978[0:SpR:210.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_COMBI(x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),y))*.
% 299.87/300.54  181488[0:SSi:180942.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(v,w))))*.
% 299.87/300.54  181739[0:Obv:181700.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w))**.
% 299.87/300.54  181977[0:Obv:181871.0] class_Groups_Ozero(u) || equal(v,skf36(u,w))* equal(x,skf37(u,w))* -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),w)*.
% 299.87/300.54  182691[4:Res:61109.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.54  182780[0:Res:1706.2,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP1(w,hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))*.
% 299.87/300.54  182900[0:Res:1134.2,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(c_Int_Onat,v),hAPP(c_Int_Onat,u)) -> .
% 299.87/300.54  182898[0:Res:1134.2,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP1(w,hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))*.
% 299.87/300.54  182967[0:SpL:179303.0,735.0] || hBOOL(u) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(tc_Int_Oint),w)),c_Groups_Oone__class_Oone(tc_Int_Oint)))*.
% 299.87/300.54  183062[0:Res:12714.2,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,hAPP(c_Int_Onat,u)) -> .
% 299.87/300.54  183060[0:Res:12714.2,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP1(w,hAPP(c_Int_Onat,u),v)*.
% 299.87/300.54  183184[0:SpL:179305.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u)),v)** -> equal(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))).
% 299.87/300.54  183160[0:SpL:179305.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),v)** -> equal(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),u).
% 299.87/300.54  183332[18:SpR:1129.1,111847.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf49(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.54  183666[0:Res:1136.2,336.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(hAPP(c_Int_Onat,v),hAPP(c_Int_Onat,u)) -> .
% 299.87/300.54  183664[0:Res:1136.2,9638.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> SkP1(w,hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))*.
% 299.87/300.54  183997[0:Res:1141.1,333.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))*.
% 299.87/300.54  183996[0:Res:1141.1,334.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))*.
% 299.87/300.54  184319[0:SpR:179288.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),y))),z),hAPP(hAPP(x,z),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.54  184318[0:SpR:179288.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),x))),y),z),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,z)))**.
% 299.87/300.54  184524[0:Res:1139.1,333.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))*.
% 299.87/300.54  184523[0:Res:1139.1,334.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))*.
% 299.87/300.54  184423[0:SpR:313.1,1139.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),v))*.
% 299.87/300.54  184595[0:SpR:179289.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),y))),z),hAPP(hAPP(x,z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.54  184594[0:SpR:179289.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),x))),y),z),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(y,z)))**.
% 299.87/300.54  184635[0:Rew:184630.0,180221.1] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.54  184813[0:SpL:313.1,1893.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u)** -> equal(v,u).
% 299.87/300.55  185385[0:Rew:15222.0,185354.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v)))* -> .
% 299.87/300.55  185388[0:Rew:15222.0,185281.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v)),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  185265[0:SpR:21749.1,348.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.55  185397[0:Rew:3614.0,185325.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))**.
% 299.87/300.55  185417[0:MRR:185416.0,41862.0] || hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(v,w)))* -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.55  185560[0:Rew:15222.0,185528.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))** -> .
% 299.87/300.55  185561[0:Rew:15222.0,185455.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> SkP1(w,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.55  185439[0:SpR:21752.1,348.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  185575[0:Rew:2545.0,185486.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))**.
% 299.87/300.55  185595[0:MRR:185594.0,41862.0] || hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w))* -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,x)),u))*.
% 299.87/300.55  185720[0:Res:1146.2,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w)) -> SkP1(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v,hAPP(hAPP(c_Polynomial_Osmult(u),x),w))*.
% 299.87/300.55  185719[0:Res:1146.2,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w)) -> SkP2(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v,hAPP(hAPP(c_Polynomial_Osmult(u),x),w))*.
% 299.87/300.55  186042[0:Res:144.0,3663.0] ||  -> hBOOL(hAPP(c_fequal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_fequal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.55  186457[0:Res:144.0,3661.0] ||  -> hBOOL(hAPP(c_fequal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_fequal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.55  187095[0:Res:1144.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))*.
% 299.87/300.55  187094[0:Res:1144.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))*.
% 299.87/300.55  187126[0:SSi:187061.0,127.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.55  187135[0:SSi:187000.0,127.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  187368[0:Res:1145.2,333.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> SkP1(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))*.
% 299.87/300.55  187367[0:Res:1145.2,334.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> SkP2(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))*.
% 299.87/300.55  187434[0:SSi:187433.0,121.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)))*.
% 299.87/300.55  187550[0:MRR:187535.1,1909.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),skf50(v))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,v).
% 299.87/300.55  187552[0:MRR:187532.1,2523.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u),hAPP(c_Int_Onat,v))* -> equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.55  188067[0:Res:3664.0,38531.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),v,u)),u)**.
% 299.87/300.55  188052[0:Res:3664.0,230.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),v,u)),u)**.
% 299.87/300.55  188021[0:Res:3664.0,384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,v,u)),u)** hBOOL(hAPP(w,hAPP(c_Int_Onat,skf48(w))))*.
% 299.87/300.55  187871[4:SpR:3664.2,8769.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf68(u,w,v),v)*.
% 299.87/300.55  188088[0:Rew:5855.1,187934.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(skf68(v,w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  188092[0:Rew:19041.1,187902.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(skf68(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** SkP0(x,skf48(c_fequal(v)))*.
% 299.87/300.55  188093[0:Rew:45786.0,187901.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(skf68(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** SkP1(x,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.87/300.55  188100[0:MRR:187936.2,3737.1] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* -> hBOOL(hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))* equal(v,skf68(x,u,w))*.
% 299.87/300.55  188640[0:Res:3662.0,38531.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),v,u)),u)**.
% 299.87/300.55  188625[0:Res:3662.0,230.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),v,u)),u)**.
% 299.87/300.55  188594[0:Res:3662.0,384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,v,u)),u)** hBOOL(hAPP(w,hAPP(c_Int_Onat,skf48(w))))*.
% 299.87/300.55  188444[4:SpR:3662.2,8769.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf67(u,w,v),v)*.
% 299.87/300.55  188661[0:Rew:5855.1,188507.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(skf67(v,w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  188665[0:Rew:19041.1,188475.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(skf67(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** SkP0(x,skf48(c_fequal(v)))*.
% 299.87/300.55  188666[0:Rew:45786.0,188474.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(skf67(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** SkP1(x,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)*.
% 299.87/300.55  188673[0:MRR:188509.2,3737.1] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* -> hBOOL(hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))* equal(v,skf67(x,u,w))*.
% 299.87/300.55  19026[0:Rew:551.0,19001.2] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(v,w),x))* -> hBOOL(hAPP(hAPP(v,c_Orderings_Oord__class_OLeast(u,hAPP(c_COMBC(y,z,x1,v),x))),x))*.
% 299.87/300.55  43258[0:Res:725.2,656.2] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Orderings_Oord__class_OLeast(u,v)),w))* equal(w,c_Orderings_Oord__class_OLeast(u,v)).
% 299.87/300.55  50528[0:Res:779.2,384.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.87/300.55  51108[0:Rew:691.1,51024.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf46(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,x)))*.
% 299.87/300.55  54450[0:Rew:691.1,54109.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf49(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v)))))*.
% 299.87/300.55  55333[0:Res:866.2,644.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> .
% 299.87/300.55  56830[0:Res:833.2,644.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  59642[0:Res:779.2,12183.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(w)))* -> equal(v,skf60(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  59754[0:Rew:741.1,59575.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  60520[0:Res:779.2,12538.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf48(w)))* -> equal(v,skf48(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  60632[0:Rew:741.1,60444.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf48(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  75680[0:Res:20707.1,976.1] class_Rings_Olinordered__ring__strict(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)))*.
% 299.87/300.55  66685[0:SpL:947.1,384.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,v)))))*.
% 299.87/300.55  44016[0:SpR:408.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y),z),hAPP(c_Groups_Oone__class_Oone(u),hAPP(y,z)))**.
% 299.87/300.55  44080[0:SpR:407.1,742.0] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,z)))**.
% 299.87/300.55  44090[0:SpR:413.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),y),z),hAPP(c_Groups_Oone__class_Oone(u),hAPP(y,z)))**.
% 299.87/300.55  43993[0:SpR:15222.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Nat_OSuc),c_Int_Onat__aux(y,z)),hAPP(hAPP(x,c_Int_Onat__aux(y,z)),c_Int_Onat__aux(y,hAPP(c_Nat_OSuc,z))))*.
% 299.87/300.55  44125[0:SpR:15222.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Nat_OSuc),x),c_Int_Onat__aux(y,z)),hAPP(c_Int_Onat__aux(y,hAPP(c_Nat_OSuc,z)),hAPP(x,c_Int_Onat__aux(y,z))))*.
% 299.87/300.55  65851[0:SpR:555.1,931.1] class_Rings_Ocomm__semiring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))**.
% 299.87/300.55  43948[0:SpR:407.1,742.0] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  43958[0:SpR:413.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),z),hAPP(hAPP(y,z),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.55  43923[0:SpR:352.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),z))**.
% 299.87/300.55  43924[0:SpR:353.1,742.0] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),z))**.
% 299.87/300.55  43919[0:SpR:364.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(y,c_Groups_Oone__class_Oone(u)),z))**.
% 299.87/300.55  43920[0:SpR:361.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(y,c_Groups_Oone__class_Oone(u)),z))**.
% 299.87/300.55  43921[0:SpR:362.1,742.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(y,c_Groups_Oone__class_Oone(u)),z))**.
% 299.87/300.55  49299[0:SpL:813.1,384.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.55  49001[0:SpL:815.1,384.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.55  43884[0:SpR:408.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),z),hAPP(hAPP(y,z),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.55  44051[0:SpR:364.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),c_Groups_Oone__class_Oone(u)),hAPP(y,hAPP(z,c_Groups_Oone__class_Oone(u))))**.
% 299.87/300.55  44052[0:SpR:361.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),c_Groups_Oone__class_Oone(u)),hAPP(y,hAPP(z,c_Groups_Oone__class_Oone(u))))**.
% 299.87/300.55  44053[0:SpR:362.1,742.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),c_Groups_Oone__class_Oone(u)),hAPP(y,hAPP(z,c_Groups_Oone__class_Oone(u))))**.
% 299.87/300.55  44055[0:SpR:352.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(y,hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  44056[0:SpR:353.1,742.0] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(y,hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  74517[0:SSi:74508.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))).
% 299.87/300.55  74182[0:SSi:74149.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.55  65954[0:SpR:449.1,941.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.55  75676[0:Res:311.1,976.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Groups_Oone__class_Oone(tc_fun(u,v)),w)))*.
% 299.87/300.55  76472[0:SpL:1004.1,384.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,v)))))*.
% 299.87/300.55  64128[0:Res:932.2,384.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.55  55334[0:Res:866.2,648.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> .
% 299.87/300.55  56831[0:Res:833.2,648.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  56725[0:Res:835.2,655.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  43151[0:Res:724.2,656.2] class_Orderings_Olinorder(u) class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Orderings_Oord__class_OLeast(u,v)),w))* equal(w,c_Orderings_Oord__class_OLeast(u,v)).
% 299.87/300.55  59643[0:Res:776.2,12183.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf60(w)))* -> equal(v,skf60(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  60521[0:Res:776.2,12538.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf48(w)))* -> equal(v,skf48(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  50437[0:Res:776.2,384.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.87/300.55  55332[0:Res:866.2,647.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> .
% 299.87/300.55  56829[0:Res:833.2,647.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  56724[0:Res:835.2,653.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  54572[0:Res:893.2,653.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  54573[0:Res:893.2,655.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  55247[0:Res:891.2,655.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> .
% 299.87/300.55  55246[0:Res:891.2,653.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> .
% 299.87/300.55  54957[0:Res:864.2,648.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  54956[0:Res:864.2,644.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  54955[0:Res:864.2,647.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  74661[0:Res:515.2,953.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.55  75191[0:Res:515.2,989.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.55  73980[0:Res:515.2,987.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.55  64248[0:Res:918.2,584.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  64247[0:Res:918.2,583.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  63720[0:Res:916.2,584.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  63719[0:Res:916.2,583.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64260[0:Res:918.2,384.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.55  74131[0:Res:526.1,971.1] class_Rings_Olinordered__semidom(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Oone__class_Oone(u)))),v))*.
% 299.87/300.55  74141[0:Res:525.2,971.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.55  75182[0:Res:525.1,989.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.55  74654[0:Res:525.1,953.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.55  73970[0:Res:525.1,987.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.55  75299[0:Res:525.2,973.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.55  74795[0:Res:525.2,951.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.55  71025[0:SpR:1660.1,507.1] class_Rings_Oring(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.55  44015[0:SpR:396.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),z),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,z)))**.
% 299.87/300.55  43883[0:SpR:396.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  65627[0:SpR:742.0,939.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),v))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(u)),c_Groups_Ouminus__class_Ouminus(u)),v))*.
% 299.87/300.55  65744[0:SpL:742.0,940.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),c_Groups_Ouminus__class_Ouminus(u)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),y))*.
% 299.87/300.55  42387[0:Rew:687.1,42371.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))))))*.
% 299.87/300.55  65760[0:Obv:65754.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.55  65712[0:Obv:65702.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 299.87/300.55  65984[0:Rew:941.1,65956.2] class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w))),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.55  75015[0:Res:525.1,992.1] class_Orderings_Olinorder(u) class_Lattices_Oboolean__algebra(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.55  75024[0:Res:515.2,992.1] class_Orderings_Olinorder(u) class_Lattices_Oboolean__algebra(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.55  49373[0:SpL:814.1,384.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),v)))))*.
% 299.87/300.55  65985[0:Rew:941.1,65955.2] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w))),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.55  57962[0:SpR:595.1,854.3] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v))* -> c_Polynomial_Opos__poly(u,w).
% 299.87/300.55  71531[0:SpR:71409.1,691.1] class_RealVector_Oreal__normed__algebra(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w))**.
% 299.87/300.55  74971[0:SpL:71409.1,992.1] class_RealVector_Oreal__normed__algebra(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.55  74989[0:SpL:71409.1,992.1] class_RealVector_Oreal__normed__algebra(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  73568[0:SpR:71409.1,991.2] class_RealVector_Oreal__normed__algebra(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  73586[0:SpR:71409.1,991.2] class_RealVector_Oreal__normed__algebra(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  71427[0:Rew:999.1,71291.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))))*.
% 299.87/300.55  71295[0:SpR:997.1,507.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.55  43947[0:SpR:405.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  44079[0:SpR:405.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,z)))**.
% 299.87/300.55  43963[0:SpR:414.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y)),z),hAPP(hAPP(x,z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),y)))*.
% 299.87/300.55  44095[0:SpR:414.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),y),z),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x),hAPP(y,z)))*.
% 299.87/300.55  79515[0:SSi:79489.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))* -> .
% 299.87/300.55  43962[0:SpR:412.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y)),z),hAPP(hAPP(x,z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),z),y)))*.
% 299.87/300.55  44094[0:SpR:412.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x)),y),z),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),z),x),hAPP(y,z)))*.
% 299.87/300.55  72185[0:Obv:72077.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf48(c_fequal(w)))))**.
% 299.87/300.55  72348[0:Obv:72256.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w)))))**.
% 299.87/300.55  72513[0:Obv:72430.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),skf48(c_fequal(w)))))**.
% 299.87/300.55  72346[0:Obv:72274.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(v))),w)))**.
% 299.87/300.55  72512[0:Obv:72448.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),skf48(c_fequal(v))),w)))**.
% 299.87/300.55  75594[0:SpL:495.1,961.1] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf37(u,v)))* c_Polynomial_Opos__poly(u,skf36(u,v)).
% 299.87/300.55  57328[0:SpL:878.1,51176.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),skf49(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.55  44012[0:SpR:410.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),z),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,z)))**.
% 299.87/300.55  43880[0:SpR:410.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  39289[0:AED:109.0,39274.2] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))))))*.
% 299.87/300.55  57326[0:SpL:878.1,334.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)),x)) -> SkP2(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Polynomial_Omonom(u,v,w),x)*.
% 299.87/300.55  62049[0:Rew:62042.1,62028.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(v,w)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),w)*.
% 299.87/300.55  55696[0:SpL:837.1,334.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),x))* -> SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x)*.
% 299.87/300.55  61922[0:SpR:49304.1,691.1] class_Groups_Oab__group__add(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w))**.
% 299.87/300.55  74972[0:SpL:49304.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.55  73569[0:SpR:49304.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  74990[0:SpL:49304.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  73587[0:SpR:49304.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  71077[0:SpR:49304.1,1660.1] class_Groups_Oab__group__add(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v))**.
% 299.87/300.55  54075[0:SpL:506.1,51176.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.55  72597[0:SpR:49304.1,1659.1] class_Groups_Oab__group__add(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  76446[0:SpR:506.1,1004.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))),w),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  42846[0:SpR:308.1,691.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w))**.
% 299.87/300.55  74974[0:SpL:308.1,992.1] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.55  73571[0:SpR:308.1,991.2] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  74992[0:SpL:308.1,992.1] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  73589[0:SpR:308.1,991.2] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  71079[0:SpR:308.1,1660.1] class_Groups_Ogroup__add(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v))**.
% 299.87/300.55  44057[0:SpR:394.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(y,hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  43925[0:SpR:394.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),z))**.
% 299.87/300.55  72599[0:SpR:308.1,1659.1] class_Groups_Ogroup__add(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  76445[0:SpR:505.1,1004.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))),w),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  56494[0:SSi:56469.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.55  56758[0:SSi:56730.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),w))*.
% 299.87/300.55  75422[0:SpL:495.1,1003.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf36(u,w)),w)** -> equal(skf36(u,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.55  60483[0:SpL:689.2,12538.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf48(x)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.55  59612[0:SpL:689.2,12183.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf60(x)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.55  72304[0:Rew:72303.0,40494.1] || equal(skf48(c_fequal(u)),v)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w)))),skf48(c_fequal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w))))**.
% 299.87/300.55  44160[0:SpL:742.0,12641.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),y))* equal(y,skf48(c_fequal(z))) -> hBOOL(hAPP(hAPP(x,y),z))*.
% 299.87/300.55  29328[0:Res:576.2,12641.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,hAPP(c_Int_Onat,w)))* equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),x))*.
% 299.87/300.55  66694[0:SSi:66676.1,122.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,w,v)),x),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  76488[0:Rew:1004.1,76430.2] class_Rings_Ocomm__semiring__0(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,x,v)),y),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,x,w)),y))*.
% 299.87/300.55  57320[0:SpR:5744.1,878.1] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Polynomial_Omonom(u,w,x)),c_Polynomial_Omonom(u,w,hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.55  57307[0:SpR:878.1,5744.1] class_Groups_Ozero(u) || equal(v,c_Polynomial_Omonom(u,w,x)) -> equal(c_Polynomial_Omonom(u,w,hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.55  76304[0:Rew:496.1,76281.3] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.55  57412[0:SpR:1672.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.55  65986[0:Rew:941.1,65950.2] class_Rings_Ocomm__ring(u) || equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 299.87/300.55  65990[0:SSi:65939.0,133.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  66749[0:SSi:66744.0,107.0] class_Int_Oring__char__0(t_a) || equal(u,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____))* equal(hAPP(c_Polynomial_Opoly(t_a,u),v_y____),hAPP(c_Polynomial_Opoly(t_a,u),v_x____))** -> .
% 299.87/300.55  66111[0:Rew:936.1,66073.2] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),x)))*.
% 299.87/300.55  57949[0:SpR:5744.1,854.3] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,x) c_Polynomial_Opos__poly(u,w)* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),x))*.
% 299.87/300.55  57951[0:SpR:5744.1,854.3] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,w)* c_Polynomial_Opos__poly(u,x) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),x),v))*.
% 299.87/300.55  58018[0:SpR:5744.1,853.3] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,x) c_Polynomial_Opos__poly(u,w)* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),x))*.
% 299.87/300.55  58048[0:Obv:58044.3] class_Rings_Oidom(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,w)* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),v))*.
% 299.87/300.55  58020[0:SpR:5744.1,853.3] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,w)* c_Polynomial_Opos__poly(u,x) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x),v))*.
% 299.87/300.55  56723[0:SpR:5744.1,835.2] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,x)),v))*.
% 299.87/300.55  56310[0:SpL:5744.1,836.1] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.55  56826[0:SpR:5744.1,833.2] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,x)),v))*.
% 299.87/300.55  56455[0:SpL:5744.1,834.1] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))*.
% 299.87/300.55  55726[0:Rew:837.1,55650.2] class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),v)))*.
% 299.87/300.55  55688[0:SpR:5744.1,837.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),x)))*.
% 299.87/300.55  58454[0:SpL:5744.1,870.1] class_Orderings_Oord(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(x,u),y),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),w))*.
% 299.87/300.55  55104[0:SpL:5744.1,865.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  54945[0:SpR:5744.1,864.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.55  55090[0:SpL:5744.1,865.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  54931[0:SpR:5744.1,864.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.55  55455[0:SpL:5744.1,867.1] class_Rings_Olinordered__idom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  55322[0:SpR:5744.1,866.2] class_Rings_Olinordered__idom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))*.
% 299.87/300.55  55439[0:SpL:5744.1,867.1] class_Rings_Olinordered__idom(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  55306[0:SpR:5744.1,866.2] class_Rings_Olinordered__idom(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  62044[0:Rew:62042.1,62012.2] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)),w)**.
% 299.87/300.55  62050[0:Rew:62042.1,61988.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))* -> equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))*.
% 299.87/300.55  53140[0:SpL:5744.1,873.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x))*.
% 299.87/300.55  55028[0:SpL:5744.1,894.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  54568[0:SpR:5744.1,893.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.55  55016[0:SpL:5744.1,894.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  54556[0:SpR:5744.1,893.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.55  55370[0:SpL:5744.1,892.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  55235[0:SpR:5744.1,891.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.55  55356[0:SpL:5744.1,892.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  55221[0:SpR:5744.1,891.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  42353[0:SpR:503.2,687.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__ring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.55  18972[0:SpL:442.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  18932[0:SpL:442.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.55  58382[0:SpL:5744.1,895.1] class_Groups_Ocancel__semigroup__add(u) || equal(v,w) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),v))* -> equal(x,y).
% 299.87/300.55  57677[0:SpL:902.2,334.0] class_Rings_Oidom(u) || equal(v,w)* hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x)*.
% 299.87/300.55  42354[0:SpR:448.2,687.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Ocomm__ring__1(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.55  49277[0:SpR:448.2,813.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))**.
% 299.87/300.55  48979[0:SpR:448.2,815.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Ocomm__ring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))**.
% 299.87/300.55  72297[0:Rew:72296.0,40481.1] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(w))),v)),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(w)),u))))*.
% 299.87/300.55  57327[0:SpL:878.1,333.0] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)),x)) -> SkP1(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Polynomial_Omonom(u,v,w),x)*.
% 299.87/300.55  57678[0:SpL:902.2,333.0] class_Rings_Oidom(u) || equal(v,w)* hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x)*.
% 299.87/300.55  55697[0:SpL:837.1,333.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),x))* -> SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x)*.
% 299.87/300.55  62048[0:Rew:62042.1,62029.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(v,w)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),w)*.
% 299.87/300.55  52377[0:MRR:52337.3,218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  29345[0:Res:1630.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),w))*.
% 299.87/300.55  59133[0:MRR:59124.3,218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))*.
% 299.87/300.55  56625[0:SpR:5744.1,844.2] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),v))*.
% 299.87/300.55  56205[0:SpL:5744.1,843.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.55  56628[0:Res:844.2,647.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> .
% 299.87/300.55  56629[0:Res:844.2,644.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> .
% 299.87/300.55  56630[0:Res:844.2,648.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> .
% 299.87/300.55  52314[0:SpR:5744.1,871.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))* equal(hAPP(c_Nat_OSuc,v),w).
% 299.87/300.55  42050[0:SpR:13147.1,3705.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Nat_OSuc,skf52(u,w))),w)**.
% 299.87/300.55  47895[0:SpL:3757.0,3710.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))*.
% 299.87/300.55  56897[0:SpL:276.0,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(skf44(hAPP(c_Nat_OSuc,u),v),w)* -> equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.55  19508[0:Res:1630.1,384.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),hAPP(c_Int_Onat,skf48(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))))*.
% 299.87/300.55  26655[0:Res:585.1,12934.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))* -> equal(skf48(c_fequal(u)),skf48(c_fequal(v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  61568[0:Rew:9487.0,61511.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),w)).
% 299.87/300.55  56109[0:SpL:5744.1,848.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.55  56906[0:Res:513.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(skf44(u,hAPP(c_Nat_OSuc,v)),w)* -> equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.55  52792[0:Res:3721.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.55  53188[0:Res:12938.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  56543[0:Res:847.2,653.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> .
% 299.87/300.55  56544[0:Res:847.2,655.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> .
% 299.87/300.55  56559[0:SSi:56546.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),w))*.
% 299.87/300.55  56542[0:SpR:5744.1,847.2] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),v))*.
% 299.87/300.55  52781[0:SpL:5744.1,875.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))*.
% 299.87/300.55  53487[0:SpL:5744.1,888.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* equal(w,hAPP(c_Nat_OSuc,v)).
% 299.87/300.55  59255[0:Res:579.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,u))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  53538[0:Rew:2526.0,53489.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) equal(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  48386[0:Res:579.1,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)) -> equal(u,hAPP(c_Nat_OSuc,v)) equal(u,v).
% 299.87/300.55  27827[0:Res:579.1,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.55  59460[0:Rew:9487.0,59398.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u)))),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.55  48362[0:SpL:9487.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),hAPP(c_Nat_OSuc,u)))* -> equal(skf50(skf64(v)),u).
% 299.87/300.55  26028[0:Res:579.1,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* -> equal(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.55  48356[0:SpL:2526.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(v,hAPP(c_Int_Onat,u)).
% 299.87/300.55  42044[0:SpR:3705.1,3753.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf52(hAPP(c_Nat_OSuc,u),v)))),v)**.
% 299.87/300.55  52853[0:MRR:52852.2,27420.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)).
% 299.87/300.55  68025[0:Res:520.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.87/300.55  68026[0:Res:533.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.87/300.55  41416[0:MRR:41352.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))* equal(skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u).
% 299.87/300.55  41190[0:SpL:15222.0,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) equal(u,c_Int_Onat__aux(v,w)).
% 299.87/300.55  68060[0:Res:539.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(u,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v))*.
% 299.87/300.55  47832[0:SpR:3690.1,3757.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w))**.
% 299.87/300.55  43835[0:SpR:742.0,609.2] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(u)),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  58780[0:SpL:5744.1,879.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> equal(x,w).
% 299.87/300.55  58713[0:SpL:5744.1,904.1] class_Groups_Ozero(u) || equal(v,w)* equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),y),hAPP(hAPP(c_Polynomial_OpCons(u),z),v))* -> equal(y,w)*.
% 299.87/300.55  58602[0:SpL:5744.1,905.1] class_Groups_Ozero(u) || equal(v,w)* equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),y),hAPP(hAPP(c_Polynomial_OpCons(u),v),z))* -> equal(x,w)*.
% 299.87/300.55  58379[0:SpL:5744.1,895.1] class_Groups_Ocancel__semigroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),y))* -> equal(x,w)*.
% 299.87/300.55  58252[0:SpL:5744.1,897.1] class_Groups_Ocancel__semigroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))* -> equal(y,w)*.
% 299.87/300.55  58118[0:SpL:5744.1,896.1] class_Groups_Ocancel__ab__semigroup__add(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v))* -> equal(y,w)*.
% 299.87/300.55  57909[0:SpL:5744.1,855.1] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> c_Polynomial_Opos__poly(u,w)* equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.87/300.55  54542[0:SpL:5744.1,903.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),v))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  52322[0:SpR:2135.1,871.1] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(hAPP(c_Nat_OSuc,v),w).
% 299.87/300.55  56900[0:SpL:5744.1,21751.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* equal(skf44(w,v),x)* -> equal(v,c_Int_Onat__aux(skf48(c_fequal(x)),w))*.
% 299.87/300.55  52324[0:SpR:5744.1,871.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),u))* equal(hAPP(c_Nat_OSuc,w),v).
% 299.87/300.55  56232[0:SSi:56215.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  53497[0:SpL:5744.1,888.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* equal(w,hAPP(c_Nat_OSuc,v)).
% 299.87/300.55  16247[0:SpL:3732.0,12183.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf60(v))),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf60(v))),u)))))*.
% 299.87/300.55  17310[0:SpL:3732.0,12538.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf48(v))),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf48(v))),u)))))*.
% 299.87/300.55  47884[0:SpL:3757.0,6391.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),c_Int_Onat__aux(skf48(c_fequal(v)),w))*.
% 299.87/300.55  47662[4:MRR:47661.2,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.55  80324[0:Res:1017.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> .
% 299.87/300.55  42209[0:SpR:13147.1,3709.1] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),w)**.
% 299.87/300.55  80454[0:Res:1016.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* -> .
% 299.87/300.55  62418[0:SpR:9368.0,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v))))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),u),hAPP(c_Nat_OSuc,skf44(u,skf50(skf64(v))))).
% 299.87/300.55  69411[0:Rew:18124.0,69365.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))).
% 299.87/300.55  69151[0:Rew:3753.0,69131.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))).
% 299.87/300.55  68358[0:Rew:276.0,68286.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.55  68355[0:Rew:3753.0,68306.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.55  69626[0:Res:16882.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),x))*.
% 299.87/300.55  68575[4:Rew:3749.0,68555.1] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))),u))*.
% 299.87/300.55  69691[0:Res:6866.1,3665.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),skf48(c_Int_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.55  69647[4:Res:61109.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.55  69668[4:Res:42157.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.55  68722[0:Rew:276.0,68665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v)).
% 299.87/300.55  42180[0:SpR:3709.1,3753.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))),u)**.
% 299.87/300.55  43961[0:SpR:418.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y)),z),hAPP(hAPP(x,z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),y)))*.
% 299.87/300.55  44093[0:SpR:418.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),y),z),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),x),hAPP(y,z)))*.
% 299.87/300.55  78844[0:SpR:1059.0,24274.0] ||  -> SkP1(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.55  46552[0:SpL:3703.0,6391.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),v)**.
% 299.87/300.55  71991[0:SSi:71912.0,129.1] class_Rings_Oidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),w)))*.
% 299.87/300.55  46733[0:SpL:3704.0,6391.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),w)**.
% 299.87/300.55  80100[0:Res:1026.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> .
% 299.87/300.55  79941[0:Res:1028.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> .
% 299.87/300.55  69625[0:Res:325.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),x))*.
% 299.87/300.55  72183[0:Obv:72095.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(v))),w)))**.
% 299.87/300.55  79778[0:SSi:79749.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)))* -> .
% 299.87/300.55  62062[0:SSi:62061.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),v)* -> equal(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))*.
% 299.87/300.55  62065[0:SSi:62064.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),v)** -> equal(w,u).
% 299.87/300.55  57715[0:Obv:57643.0] class_Rings_Oidom(u) || equal(v,w)* equal(x,w)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 299.87/300.55  57600[0:SpR:902.2,5744.1] class_Rings_Oidom(u) || equal(v,w) equal(x,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))*.
% 299.87/300.55  57652[0:SpR:5744.1,902.2] class_Rings_Oidom(u) || equal(v,w) equal(x,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.55  58274[0:SpL:613.2,897.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.55  58140[0:SpL:613.2,896.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.55  58404[0:SpL:613.2,895.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),c_Groups_Ozero__class_Ozero(u))** -> equal(w,v).
% 299.87/300.55  46703[0:SpR:687.1,3704.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u))*.
% 299.87/300.55  76023[0:Res:390.1,969.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  52374[0:Rew:2526.0,52316.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v))* equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v).
% 299.87/300.55  66574[0:SpR:3723.1,558.2] class_Rings_Osemiring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Nat_Osemiring__1__class_Oof__nat(u,w))**.
% 299.87/300.55  66603[0:SpL:3723.1,557.1] class_Rings_Osemiring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Nat_Osemiring__1__class_Oof__nat(u,v))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  55543[0:SpL:852.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)),x))* -> SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x)*.
% 299.87/300.55  55542[0:SpL:852.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)),x))* -> SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x)*.
% 299.87/300.55  55568[0:Rew:852.1,55506.2] class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),v)))*.
% 299.87/300.55  66569[0:SpR:3723.1,594.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.87/300.55  48711[0:SpR:736.1,747.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v))),c_Nat_Osemiring__1__class_Oof__nat(u,v))**.
% 299.87/300.55  50264[0:SpL:736.1,749.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  49975[0:SpR:748.2,736.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Oone__class_Oone(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  43600[0:SpR:285.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_COMBK(v,w),x),hAPP(c_Nat_OSuc,y),z),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_COMBK(v,w),x),y,x))*.
% 299.87/300.55  55534[0:SpR:5744.1,852.1] class_Rings_Osemiring__1(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),x)))*.
% 299.87/300.55  71889[0:SpR:959.1,615.2] class_Rings_Osemiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Oone__class_Oone(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  55583[0:Rew:302.1,55545.2,27252.0,55545.2,852.1,55545.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.55  55538[0:SpL:852.1,619.1] class_Rings_Osemiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  71894[0:SpR:959.1,608.2] class_Rings_Osemiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  71907[0:SpR:959.1,609.2] class_Rings_Osemiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  50149[0:SpL:736.1,751.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  49833[0:SpR:752.2,736.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  43559[0:SpR:272.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,w))**.
% 299.87/300.55  69689[8:Res:19779.1,3665.0] || equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Int_Onat,w)).
% 299.87/300.55  61266[0:Rew:2544.0,61151.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.55  61418[0:Rew:2544.0,61342.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  42225[0:SpL:3709.1,3744.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.55  78912[0:SpL:1059.0,461.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  61422[0:Rew:2544.0,61302.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.55  56824[0:SpR:2135.1,833.2] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)))*.
% 299.87/300.55  56453[0:SpL:2135.1,834.1] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.55  39194[0:Obv:39180.0] class_Int_Oring__char__0(u) class_Rings_Oidom(u) || equal(v,w)* equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* -> equal(hAPP(c_Polynomial_Opoly(u,v),x),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  68085[0:SSi:68084.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.55  50721[0:SpR:5744.1,1925.1] || equal(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))*.
% 299.87/300.55  50723[0:Res:1925.1,1907.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,skf50(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))**.
% 299.87/300.55  27620[0:Res:3721.1,21720.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),c_Int_Onat__aux(skf48(c_fequal(u)),v))**.
% 299.87/300.55  27414[0:Res:3681.1,21720.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u))),c_Int_Onat__aux(skf48(c_fequal(v)),u))**.
% 299.87/300.55  53727[0:SpL:5744.1,1915.1] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.87/300.55  53649[0:SpR:5744.1,1914.2] class_Rings_Olinordered__semidom(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.55  58943[0:SpR:9385.1,1901.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)),v))*.
% 299.87/300.55  54983[0:Rew:1878.0,54943.2] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.55  50776[0:SpL:5744.1,1926.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.55  50705[0:SpR:5744.1,1925.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))*.
% 299.87/300.55  50638[0:SpL:5744.1,1927.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.55  67379[0:SSi:67366.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.55  67378[0:SSi:67367.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.55  55574[0:SSi:55513.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))))*.
% 299.87/300.55  59008[0:SSi:58993.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u))) hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)),hAPP(c_Nat_OSuc,v))))* -> .
% 299.87/300.55  69620[0:Res:6728.1,3665.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),skf48(c_fNot))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_fNot,w)).
% 299.87/300.55  57421[0:SpR:366.1,1672.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  43922[0:SpR:350.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),z))**.
% 299.87/300.55  44054[0:SpR:350.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(y,hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  43946[0:SpR:406.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  44078[0:SpR:406.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,z)))**.
% 299.87/300.55  44145[0:SpL:742.0,568.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),y),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  57429[0:SpL:1672.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x))* -> SkP1(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),v,x)*.
% 299.87/300.55  57428[0:SpL:1672.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x))* -> SkP2(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),v,x)*.
% 299.87/300.55  72844[0:SpR:999.1,508.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))))*.
% 299.87/300.55  72570[0:SpR:1659.1,508.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))))*.
% 299.87/300.55  71294[0:SpR:997.1,509.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.55  71024[0:SpR:1660.1,509.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 299.87/300.55  41097[0:AED:109.0,41086.2] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  22895[0:SpL:556.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),w)))))*.
% 299.87/300.55  23163[0:SpL:555.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),w)))))*.
% 299.87/300.55  28521[0:AED:109.0,28502.3] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  42845[0:SpR:20457.1,691.1] class_Rings_Oring__1(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w))**.
% 299.87/300.55  74973[0:SpL:20457.1,992.1] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.55  73570[0:SpR:20457.1,991.2] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  74991[0:SpL:20457.1,992.1] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  73588[0:SpR:20457.1,991.2] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  71078[0:SpR:20457.1,1660.1] class_Rings_Oring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v))**.
% 299.87/300.55  72233[0:SpR:956.1,613.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  72287[0:SpL:956.1,612.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  72036[0:SpR:957.1,608.2] class_Rings_Oring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  72049[0:SpR:957.1,609.2] class_Rings_Oring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  55692[0:SpL:837.1,619.1] class_Rings_Oring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  72598[0:SpR:20457.1,1659.1] class_Rings_Oring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  72187[0:SSi:72054.0,136.1] class_Rings_Oidom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w)))*.
% 299.87/300.55  72031[0:SpR:957.1,615.2] class_Rings_Oring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Oone__class_Oone(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  54535[0:MRR:54534.4,47664.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.55  30386[0:SpL:609.2,12183.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.55  30394[0:SpL:609.2,12538.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.55  60928[0:SpL:689.2,16218.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf47(x)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.55  60958[0:Res:779.2,16218.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf47(w)))* -> equal(v,skf47(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  60959[0:Res:776.2,16218.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf47(w)))* -> equal(v,skf47(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  30396[0:SpL:609.2,16218.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.55  21021[0:SpL:3732.0,16218.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf47(v))),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf47(v))),u)))))*.
% 299.87/300.55  61053[0:Rew:741.1,60891.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf47(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  49110[8:SpR:48262.0,3704.0] ||  -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf62(c_Int_Onat,skf47(c_Int_Onat)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))**.
% 299.87/300.55  49109[8:SpR:48262.0,3703.0] ||  -> equal(c_Int_Onat__aux(skf47(c_Int_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(c_Nat_OSuc,u)))**.
% 299.87/300.55  60239[0:SpL:689.2,12380.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf57(x)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.55  60269[0:Res:779.2,12380.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf57(w)))* -> equal(v,skf57(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  60270[0:Res:776.2,12380.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf57(w)))* -> equal(v,skf57(w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  30393[0:SpL:609.2,12380.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.55  17096[0:SpL:3732.0,12380.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf57(v))),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf57(v))),u)))))*.
% 299.87/300.55  60364[0:Rew:741.1,60202.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf57(v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  50537[0:Res:779.2,4192.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  50446[0:Res:776.2,4192.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  46715[0:SpR:12545.1,3704.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Onat__aux(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf64(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf64(u)))*.
% 299.87/300.55  46534[0:SpR:12545.1,3703.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(c_Int_Onat__aux(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf64(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  43560[0:SpR:262.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v,w))**.
% 299.87/300.55  76667[0:SpR:225.0,963.2] || SkP2(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint),u) SkP1(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))*.
% 299.87/300.55  59282[0:Rew:2526.0,59262.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) equal(v,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.55  4975[0:SpL:3732.0,4192.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),u)))))*.
% 299.87/300.55  44649[0:SpL:689.2,4192.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.55  44771[0:Rew:741.1,44621.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  19510[0:Res:1630.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf47(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v))*.
% 299.87/300.55  42386[0:Rew:687.1,42372.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.55  23818[0:SpL:558.2,383.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(u),v))),c_Groups_Ozero__class_Ozero(u))** hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.55  23613[0:SpL:597.2,383.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(u),v))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.55  23483[0:SpL:598.2,383.0] class_Groups_Oab__group__add(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(u),v))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.55  26926[0:Res:12782.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.87/300.55  19513[0:Res:1630.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),skf48(c_fequal(v))))*.
% 299.87/300.55  42385[0:Rew:687.1,42374.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(v))))*.
% 299.87/300.55  23822[0:SpL:558.2,12569.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf57(hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(c_fequal(w))))*.
% 299.87/300.55  23617[0:SpL:597.2,12569.0] class_Groups_Ogroup__add(u) || equal(skf57(hAPP(c_Groups_Ominus__class_Ominus(u),v)),v) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf48(c_fequal(w))))*.
% 299.87/300.55  23487[0:SpL:598.2,12569.0] class_Groups_Oab__group__add(u) || equal(skf57(hAPP(c_Groups_Ominus__class_Ominus(u),v)),v) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf48(c_fequal(w))))*.
% 299.87/300.55  20950[0:Res:579.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))* -> equal(skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(c_fequal(v))))*.
% 299.87/300.55  20767[0:Res:585.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf57(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))* -> equal(skf57(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))*.
% 299.87/300.55  26929[0:Res:12782.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf57(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u)))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.87/300.55  80727[0:Rew:1878.0,80660.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.55  80019[0:SpR:458.1,1026.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.55  79874[0:SpR:490.1,1028.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.55  77088[0:MRR:76720.2,2780.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u,w)* -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.55  77087[0:MRR:76744.2,2780.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u,w)* -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.55  52075[0:SpL:15222.0,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(c_Int_Onat__aux(v,w),u)),u).
% 299.87/300.55  40787[0:SpR:13147.1,10146.1] || equal(skf48(c_fequal(skf50(u))),v) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(u)),w))*.
% 299.87/300.55  40796[0:SpL:10146.1,3744.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(skf50(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  39702[0:SpL:13147.1,12944.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  39568[0:SpL:13147.1,12943.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(w)))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  39449[0:Res:579.1,1650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(u,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  52079[0:SpL:2135.1,863.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(w,v)),v)**.
% 299.87/300.55  52105[0:Res:539.0,863.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(u,v)),v).
% 299.87/300.55  69651[0:Res:1909.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.87/300.55  60743[0:SpL:3762.0,591.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  54480[0:SpR:890.3,5744.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(v,w)* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  54502[0:SpR:5744.1,890.3] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  54510[0:SpL:890.3,334.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w,v)*.
% 299.87/300.55  52069[0:SpL:5744.1,863.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,w)),w)**.
% 299.87/300.55  52081[0:SpL:5744.1,863.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,w)),w)**.
% 299.87/300.55  39720[0:SpL:13147.1,12944.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(w)))))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  39550[0:SpL:13147.1,12943.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  28498[0:SpR:451.2,618.2] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Ocoeff(u,v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  63287[0:Res:1649.2,21175.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP1(w,u,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))*.
% 299.87/300.55  60641[0:SpR:3762.0,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  59092[0:SpL:9487.0,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  29099[0:SpL:683.2,4192.0] class_Power_Opower(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf60(hAPP(c_Power_Opower__class_Opower(u),v))))*.
% 299.87/300.55  41791[0:Res:540.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.55  76670[0:SpR:18711.1,963.2] || SkP2(c_Int_Onat,u,v) SkP1(c_Int_Onat,u,v) -> SkP0(w,u)* hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.55  76674[0:SpR:8586.1,963.2] || SkP2(c_Int_Onat,u,v) SkP1(c_Int_Onat,u,v) -> SkP0(u,w)* hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.55  47575[0:Res:5747.1,805.1] || equal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.55  41379[0:Res:1649.2,331.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.55  71734[0:SpL:742.0,24466.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBS(w,x,y),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  29096[0:SpL:683.2,12183.0] class_Power_Opower(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),skf60(hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.55  29102[0:SpL:683.2,12380.0] class_Power_Opower(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),skf60(hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.55  29103[0:SpL:683.2,12538.0] class_Power_Opower(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),skf60(hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.55  29105[0:SpL:683.2,16218.0] class_Power_Opower(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),skf60(hAPP(c_Power_Opower__class_Opower(u),w))))*.
% 299.87/300.55  41350[0:Res:1649.2,334.0] || hBOOL(hAPP(hAPP(u,v),w)) -> hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP2(u,v,hAPP(c_Nat_OSuc,skf55(w,hAPP(u,v))))*.
% 299.87/300.55  41351[0:Res:1649.2,333.0] || hBOOL(hAPP(hAPP(u,v),w)) -> hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP1(u,v,hAPP(c_Nat_OSuc,skf55(w,hAPP(u,v))))*.
% 299.87/300.55  71716[0:SpL:748.2,24466.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  58061[0:Res:54147.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),v)),skf49(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))*.
% 299.87/300.55  41842[0:Res:4896.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u))))*.
% 299.87/300.55  71757[0:Res:937.2,24466.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  71816[0:Res:893.2,24466.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  71797[0:Res:864.2,24466.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  41545[0:SpL:364.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(u),w)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  41546[0:SpL:361.1,735.0] class_Groups_Omonoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(u),w)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  41547[0:SpL:362.1,735.0] class_Groups_Ocomm__monoid__mult(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Oone__class_Oone(u),w)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  41551[0:SpL:394.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64801[0:Res:64662.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.55  48224[0:Res:12638.1,11888.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.87/300.55  48225[0:Res:12638.1,25570.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.55  41747[0:Res:25467.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.55  41748[0:Res:26080.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.55  41838[0:Res:16420.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u))),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)))))*.
% 299.87/300.55  41837[0:Res:16419.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u))),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)))))*.
% 299.87/300.55  41836[0:Res:16418.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u))),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)))))*.
% 299.87/300.55  41835[0:Res:16274.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u))),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)))))*.
% 299.87/300.55  41833[0:Res:4986.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint))),u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.55  41775[0:Res:525.1,735.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.55  41798[0:Res:515.2,735.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.55  41785[0:Res:525.2,735.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.55  48212[0:Res:12638.1,25381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.87/300.55  48213[0:Res:12638.1,25382.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.55  41688[0:Res:25447.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.55  41593[0:SpL:414.0,735.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.55  41548[0:SpL:350.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  41549[0:SpL:352.1,735.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  41550[0:SpL:353.1,735.0] class_Groups_Omonoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  41947[4:MRR:41559.1,41857.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.55  63534[0:Rew:687.1,63521.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))* -> equal(u,v) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  43672[0:SpR:27252.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.55  43581[0:SpR:294.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43940[0:SpR:9503.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(y)))),skf64(y)),hAPP(hAPP(x,skf64(y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  44149[0:SpL:742.0,620.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y),y)** -> equal(y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(x,y),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  44121[0:SpR:6936.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y),c_Int_Onat__aux(z,x)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,c_Int_Onat__aux(z,x))))**.
% 299.87/300.55  44072[0:SpR:9503.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(x)))),y),skf64(x)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,skf64(x))))**.
% 299.87/300.55  44068[0:SpR:6937.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y),hAPP(c_Nat_OSuc,x)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,hAPP(c_Nat_OSuc,x))))**.
% 299.87/300.55  43989[0:SpR:6936.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),c_Int_Onat__aux(z,y)),hAPP(hAPP(x,c_Int_Onat__aux(z,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43936[0:SpR:6937.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(x,hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43838[0:SpR:742.0,683.2] class_Power_Opower(u) || equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Power_Opower__class_Opower(u)),v),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  44588[0:SpL:686.1,4192.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,c_Groups_Oone__class_Oone(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,v))))*.
% 299.87/300.55  78838[0:SpR:1059.0,490.1] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  48235[0:Res:12638.1,38534.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.55  48236[0:Res:12638.1,298.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.55  48237[0:Res:12638.1,297.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.55  50976[0:SpL:618.2,50956.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf46(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))*.
% 299.87/300.55  71990[0:SSi:71942.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  57439[0:SSi:57414.0,121.1] class_Rings_Oidom(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,v,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  59544[0:SpL:686.1,12183.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf60(v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,w))))*.
% 299.87/300.55  60065[0:SpL:3761.0,591.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),v))).
% 299.87/300.55  59958[0:SpR:3761.0,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  60171[0:SpL:686.1,12380.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf57(v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,w))))*.
% 299.87/300.55  60413[0:SpL:686.1,12538.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf48(v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,w))))*.
% 299.87/300.55  60860[0:SpL:686.1,16218.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf47(v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,w))))*.
% 299.87/300.55  67010[0:Rew:66992.0,66988.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf49(c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.55  68506[8:Res:49083.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf47(c_Int_Onat),u),v)),c_Int_Onat__aux(skf47(c_Int_Onat),u)))*.
% 299.87/300.55  71718[0:SpL:752.2,24466.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  77094[0:MRR:77093.2,1981.0] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)* -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.55  77092[0:MRR:77091.2,1981.0] class_Power_Opower(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)* -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.55  66785[0:SpR:2543.1,54454.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf49(c_Int_Onat))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  66787[8:SpR:2543.1,19253.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  66789[3:SpR:2543.1,5849.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_fNot))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  66790[0:SpR:2543.1,5848.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf60(c_Int_Onat))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  66830[0:SpL:2543.1,26073.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))** -> .
% 299.87/300.55  62897[4:Res:61109.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))*.
% 299.87/300.55  61124[4:Res:42157.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v)))),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))*.
% 299.87/300.55  54592[0:SSi:54577.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.55  54591[0:SSi:54578.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u).
% 299.87/300.55  53221[0:SSi:53205.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.55  52046[0:SSi:52032.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.55  51180[0:SpL:5744.1,12634.1] || equal(u,v)* hBOOL(hAPP(w,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(w,skf48(c_fequal(skf59(w)))))*.
% 299.87/300.55  50581[0:SpR:5744.1,874.1] || equal(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.55  53220[0:SSi:53207.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v))*.
% 299.87/300.55  52045[0:SSi:52033.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))),c_Int_Oring__1__class_Oof__int(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))**.
% 299.87/300.55  52027[0:Res:831.2,653.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  52028[0:Res:831.2,655.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  52036[0:Res:831.2,384.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.55  51475[0:SpL:5744.1,824.1] class_Rings_Oring__1(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,w)),c_Int_Oring__1__class_Oof__int(u,w))**.
% 299.87/300.55  51286[0:SpL:12589.1,12635.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),skf58(u)) hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(u,v))*.
% 299.87/300.55  51287[0:SpL:12586.1,12635.0] || equal(skf58(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(u,v))*.
% 299.87/300.55  50567[0:SpR:5744.1,874.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w)))*.
% 299.87/300.55  51508[0:Res:3536.0,824.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))**.
% 299.87/300.55  52022[0:SpR:5744.1,831.2] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.55  51566[0:SpL:5744.1,832.1] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  51288[0:SpL:12874.1,12635.0] || equal(u,skf58(v)) hBOOL(hAPP(v,skf48(c_fequal(u))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(v,w))*.
% 299.87/300.55  51303[0:SpL:5744.1,12635.0] || equal(u,skf48(c_fequal(skf58(v))))* hBOOL(hAPP(v,u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(v,w))*.
% 299.87/300.55  48223[0:Res:12638.1,327.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.55  55732[0:SSi:55660.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))*.
% 299.87/300.55  51836[0:SSi:51822.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.55  41839[0:Res:11853.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)),skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.55  51507[0:Res:20513.0,824.1] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))**.
% 299.87/300.55  64594[0:SSi:64589.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.55  56988[0:Rew:3622.0,56953.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)* -> equal(hAPP(c_Int_Onat,u),hAPP(c_Nat_OSuc,v))*.
% 299.87/300.55  52830[0:Res:1911.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.55  28934[0:Res:1911.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  53826[0:SpR:2135.1,825.2] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))*.
% 299.87/300.55  53834[0:Res:825.2,647.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  53835[0:Res:825.2,644.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  53836[0:Res:825.2,648.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  53846[0:Res:825.2,384.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.55  53930[0:SpL:5744.1,826.1] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  53828[0:SpR:5744.1,825.2] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.55  64675[0:Res:64590.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.55  48208[0:Res:12638.1,25507.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** SkP0(hAPP(c_Int_Onat,u),v)*.
% 299.87/300.55  48211[0:Res:12638.1,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** SkP0(v,hAPP(c_Int_Onat,u))*.
% 299.87/300.55  41685[0:Res:536.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,v)),u))*.
% 299.87/300.55  41687[0:Res:26077.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.55  56882[0:Res:55281.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.55  67491[0:SSi:67467.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.55  67490[0:SSi:67468.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.55  66221[0:SSi:66214.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.55  50536[0:Res:779.2,4191.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  50445[0:Res:776.2,4191.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf60(c_Orderings_Oord__class_Oless(u,v))))*.
% 299.87/300.55  43567[0:SpR:5859.1,739.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_OSuc,w),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.55  55266[0:SSi:55251.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.55  55265[0:SSi:55252.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),u).
% 299.87/300.55  53242[0:SpR:5744.1,12637.0] || equal(u,v)* -> hBOOL(hAPP(w,hAPP(c_Int_Onat,u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(w,v))),v)**.
% 299.87/300.55  53271[0:SpR:5744.1,12637.0] || equal(u,hAPP(c_Int_Onat,v))* -> hBOOL(hAPP(w,u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(w,v))),v)**.
% 299.87/300.55  53272[0:SpR:410.1,12637.0] class_Groups_Ozero(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.55  53275[0:SpR:396.1,12637.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.55  53276[0:SpR:408.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.55  53300[0:SpR:406.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.55  53301[0:SpR:405.1,12637.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.55  53302[0:SpR:407.1,12637.0] class_Rings_Omult__zero(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.55  53312[0:SpR:413.1,12637.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v))),v)**.
% 299.87/300.55  51921[0:Res:827.2,647.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  51922[0:Res:827.2,644.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  51923[0:Res:827.2,648.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  64279[2:SpR:63796.1,12637.0] || equal(u,skf49(c_fNot)) -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(v,u))),u)**.
% 299.87/300.55  63071[0:MRR:63053.0,18627.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.55  53389[0:Res:12637.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  53391[0:Res:12637.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  53411[0:Res:12637.0,1641.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.55  53413[0:Res:12637.0,642.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.87/300.55  51817[0:Res:829.2,653.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  51818[0:Res:829.2,655.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> .
% 299.87/300.55  62903[4:Res:61109.1,839.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  61130[4:Res:42157.0,839.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  51919[0:SpR:5744.1,827.2] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),v))*.
% 299.87/300.55  51722[0:SpL:5744.1,828.1] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  53345[0:SpR:5744.1,12637.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(v,hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* equal(skf48(c_fequal(skf62(v,w))),w).
% 299.87/300.55  51814[0:SpR:5744.1,829.2] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),v))*.
% 299.87/300.55  51649[0:SpL:5744.1,830.1] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  43562[0:SpR:268.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,w))**.
% 299.87/300.55  66220[0:SSi:66216.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.55  61360[0:SpR:2673.1,3764.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  61169[0:SpR:2673.1,3763.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),w))*.
% 299.87/300.55  41832[0:Res:4868.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.55  76668[0:SpR:224.0,963.2] || SkP2(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP1(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.55  77913[0:SSi:77856.1,77856.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))**.
% 299.87/300.55  4857[0:SpL:3732.0,4191.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u)))))*.
% 299.87/300.55  46406[0:SpL:12611.1,12958.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(u)),v))*.
% 299.87/300.55  46341[0:SpR:12611.1,12957.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(u)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.87/300.55  41689[0:Res:12555.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  41711[0:Res:474.1,735.0] || equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  44436[0:SpL:689.2,4191.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,v))))*.
% 299.87/300.55  44370[0:SpL:686.1,4191.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,v))))*.
% 299.87/300.55  44557[0:Rew:741.1,44407.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  47362[0:Rew:5412.1,47298.2] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  47363[0:Rew:5412.1,47297.2] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  47364[0:Rew:5412.1,47296.2] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  47365[0:Rew:5412.1,47295.2] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  77900[0:SSi:77865.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.55  52394[0:SpL:5744.1,839.0] || equal(u,skf62(v,w))* hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  78328[0:SSi:78166.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.55  10355[0:SpL:448.2,383.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(u))),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Int_Onat,skf47(c_Groups_Ouminus__class_Ouminus(u))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.55  130963[0:SpR:108627.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.55  158093[4:SpR:2543.1,150394.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  160426[18:Res:118137.1,3665.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),skf48(c_Nat_OSuc))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Nat_OSuc,w)).
% 299.87/300.55  168448[0:Rew:1878.0,168408.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.55  169164[2:Res:163264.1,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.55  170017[0:SpL:10145.1,462.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.55  169959[0:SpR:10145.1,458.1] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  170053[0:Rew:170048.0,169999.2] || equal(u,skf50(v)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v))*.
% 299.87/300.55  170234[0:SSi:170202.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(v))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))))*.
% 299.87/300.55  171013[0:Obv:170972.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  171111[0:Res:1036.2,469.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  171110[0:Res:1036.2,467.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  171131[0:Obv:171093.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  171232[0:Res:1038.2,469.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  171231[0:Res:1038.2,467.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  171438[0:Obv:171391.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  171543[0:Obv:171503.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  171772[0:SSi:171734.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))))*.
% 299.87/300.55  172127[0:Res:1035.2,469.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  172126[0:Res:1035.2,467.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  172159[0:SSi:172146.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))**.
% 299.87/300.55  172161[0:SSi:172160.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))*.
% 299.87/300.55  172164[0:SSi:172110.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))))*.
% 299.87/300.55  172502[0:SpL:1064.1,51176.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.55  172533[0:SSi:172496.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.55  172534[0:SSi:172489.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  172707[0:SpL:1689.1,51176.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.55  173283[0:Rew:406.1,173165.3] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__1(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  173290[0:SSi:173289.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))*.
% 299.87/300.55  174227[0:Res:1040.2,469.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  174226[0:Res:1040.2,467.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> .
% 299.87/300.55  174259[0:SSi:174246.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))**.
% 299.87/300.55  174516[0:Res:5746.1,1006.0] || equal(skf68(c_fequal(u),v,w),u)** -> hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.55  174845[0:Res:5746.1,1009.0] || equal(skf67(c_fequal(u),v,w),u)** -> hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.55  175097[0:SSi:175054.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))))*.
% 299.87/300.55  175348[0:SSi:175305.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))))*.
% 299.87/300.55  175624[0:SSi:175565.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),w)).
% 299.87/300.55  175907[0:SSi:175847.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(v))),w)).
% 299.87/300.55  176381[23:Res:148527.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.55  176346[0:Res:5746.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(c_fequal(x),skf41(c_fequal(x),y,z)))*.
% 299.87/300.55  176110[0:SoR:6731.0,1081.3] class_Rings_Odvd(u) class_Rings_Osemiring__0(u) || equal(skf41(c_Int_Onat,v,w),skf48(c_fNot))** hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)))* -> .
% 299.87/300.55  176737[0:SSi:176647.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  176738[0:SSi:176627.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.55  176739[0:SSi:176616.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  176740[0:SSi:176583.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  176742[0:SSi:176554.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  177056[0:SSi:176898.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.55  177057[0:SSi:176893.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  177058[0:SSi:176860.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  79244[0:SpL:1074.0,51176.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.55  58205[2:Res:54405.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)),v)),skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u))))*.
% 299.87/300.55  69631[2:Res:51947.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))*.
% 299.87/300.55  41592[0:SpL:412.0,735.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,w)),u))*.
% 299.87/300.55  41841[2:Res:7974.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))))*.
% 299.87/300.55  58002[2:Res:54139.0,735.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v)),skf49(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u))))*.
% 299.87/300.55  71706[0:SpL:1657.0,24466.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  71710[0:SpL:753.0,24466.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  176397[2:Res:146398.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.55  69617[2:Res:54544.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.55  69619[2:Res:5951.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.55  174149[10:MRR:174144.0,38830.0] ||  -> equal(skf48(c_fequal(skf64(skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)))),skf68(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.55  174148[10:MRR:174145.0,38830.0] ||  -> equal(skf48(c_fequal(skf64(skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v)))),skf67(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.55  177352[0:SSi:177256.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  177353[0:SSi:177236.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.55  177355[0:SSi:177225.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  177356[0:SSi:177192.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  177357[0:SSi:177186.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.55  177358[0:SSi:177163.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  177767[0:SSi:177684.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.55  177768[0:SSi:177664.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  177769[0:SSi:177662.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  177770[0:SSi:177653.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  177772[0:SSi:177620.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(v))))*.
% 299.87/300.55  177774[0:SSi:177591.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.55  178104[0:SSi:177912.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  178105[0:SSi:177907.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  178106[0:SSi:177874.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),skf48(c_fequal(v))))*.
% 299.87/300.55  178336[0:SSi:178244.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.55  178337[0:SSi:178224.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  178338[0:SSi:178222.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  178339[0:SSi:178213.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  178340[0:SSi:178180.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(v))))*.
% 299.87/300.55  178341[0:SSi:178174.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf48(c_fequal(u))))*.
% 299.87/300.55  178342[0:SSi:178151.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.55  178626[0:SSi:178477.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  178627[0:SSi:178472.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  178628[0:SSi:178439.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(v))))*.
% 299.87/300.55  179056[0:SSi:178926.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(v)))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))*.
% 299.87/300.55  179057[0:SSi:178912.1,114.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  179058[0:SSi:178838.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))))*.
% 299.87/300.55  179059[0:SSi:178824.1,114.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  179060[0:SSi:178785.1,113.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  179073[0:SSi:179072.1,119.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  179076[0:SSi:179075.1,119.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  179284[0:SpL:1082.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.55  179352[0:Rew:1704.1,179260.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  179359[0:SSi:179278.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.55  179360[0:SSi:179271.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  179361[0:Rew:1082.1,179258.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,x)),y),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),y))*.
% 299.87/300.55  179364[0:SSi:179250.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,w)),skf48(c_fequal(v))))**.
% 299.87/300.55  179365[0:Rew:1082.1,179233.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,v)),y),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,w)),y))*.
% 299.87/300.55  179369[0:Rew:179331.0,179334.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)),u)),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,hAPP(c_Nat_OSuc,w))),u))**.
% 299.87/300.55  179370[0:Rew:179335.0,179337.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),u)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,hAPP(c_Nat_OSuc,w))),u))**.
% 299.87/300.55  179913[0:SpL:1075.0,16194.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w))** -> .
% 299.87/300.55  179848[0:SpR:219.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Nat_OSuc),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Nat_OSuc),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  179648[0:SpR:224.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  179646[0:SpR:225.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  179643[2:SpR:52124.1,1075.0] ||  -> hBOOL(u) equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.55  179547[0:SpR:1075.0,16882.1] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),x),w) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.55  179543[0:SpR:1075.0,325.1] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x),w) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.55  179516[0:SpR:1075.0,61666.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),skf64(x)),y),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),skf64(x)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.55  179468[0:SpR:1075.0,395.2] hBOOL(u) hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_fconj),u),x)) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_fconj),u),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.55  180403[0:Rew:276.0,180374.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.55  180495[0:Res:10083.1,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,skf50(skf55(v,u))))* -> equal(skf55(v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.55  180467[0:SpL:42929.0,1104.2] || hBOOL(hAPP(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) hBOOL(hAPP(u,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.55  180498[0:SSi:180476.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,skf55(v,w)))* hBOOL(hAPP(w,v)) hBOOL(hAPP(w,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u)))* -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.55  180669[0:MRR:180659.3,170890.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.55  181461[0:SpL:1098.1,333.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y))* -> SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(w,y),hAPP(x,y))*.
% 299.87/300.55  181460[0:SpL:1098.1,334.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y))* -> SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(w,y),hAPP(x,y))*.
% 299.87/300.55  181444[0:SpL:1098.1,333.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x,w)*.
% 299.87/300.55  181443[0:SpL:1098.1,334.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x,w)*.
% 299.87/300.55  181489[0:SSi:181468.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(v,x)),hAPP(w,x)))*.
% 299.87/300.55  181490[0:Obv:180941.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),w),x),y))*.
% 299.87/300.55  181491[0:SSi:180934.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,tc_Nat_Onat)),u),y),v)),w))*.
% 299.87/300.55  181492[0:SSi:180923.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),hAPP(w,v)))* -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,tc_Nat_Onat)),u),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  181935[0:SpL:1120.3,333.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> SkP1(c_Polynomial_OpCons(u),y,w)*.
% 299.87/300.55  181934[0:SpL:1120.3,334.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> SkP2(c_Polynomial_OpCons(u),y,w)*.
% 299.87/300.55  181992[0:Rew:713.1,181991.3] class_Groups_Ozero(u) || equal(v,w) equal(x,y) -> equal(c_Nat_Onat_Onat__case(u,x,c_Polynomial_Ocoeff(u,v)),c_Nat_Onat_Onat__case(u,y,c_Polynomial_Ocoeff(u,w)))*.
% 299.87/300.55  182693[0:Res:375.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.55  182692[0:Res:1608.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.55  183111[0:MRR:183052.1,8588.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  183325[0:SpR:1129.1,491.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.55  183513[2:SpR:1075.0,51947.1] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),w),x),w) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.55  184353[0:SpL:179288.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))).
% 299.87/300.55  184329[0:SpL:179288.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),u).
% 299.87/300.55  184551[0:Rew:687.1,184495.2] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))*.
% 299.87/300.55  184628[0:SpL:179289.0,492.0] || equal(hAPP(u,skf33(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v))).
% 299.87/300.55  184604[0:SpL:179289.0,492.0] || equal(hAPP(u,skf33(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),u).
% 299.87/300.55  185030[0:SpL:3622.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.55  184989[0:SpL:3622.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.55  185037[0:Rew:2544.0,185008.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),hAPP(c_Nat_OSuc,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.55  185039[0:Rew:2544.0,184967.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.87/300.55  185415[0:MRR:185268.1,27417.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),c_Int_Onat__aux(skf48(c_fequal(w)),v))**.
% 299.87/300.55  185625[0:SpR:219.0,1131.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.55  185621[0:SpR:9368.0,1131.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf64(w))))*.
% 299.87/300.55  185726[0:SSi:185724.1,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))* -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),w),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.55  186119[4:MRR:185873.1,8759.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v,u)),u)**.
% 299.87/300.55  186120[4:MRR:185871.1,8759.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v,u)),u)**.
% 299.87/300.55  186147[4:MRR:186146.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186149[10:MRR:186148.0,38830.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.55  186151[4:MRR:186150.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186153[4:MRR:186152.1,8759.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186155[4:MRR:186154.1,8759.0] class_Groups_Ocomm__monoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186157[4:MRR:186156.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.55  186159[4:MRR:186158.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.55  186161[4:MRR:186160.1,8759.0] class_Groups_Omonoid__add(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.55  186534[4:MRR:186288.1,8759.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v,u)),u)**.
% 299.87/300.55  186535[4:MRR:186286.1,8759.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v,u)),u)**.
% 299.87/300.55  186562[4:MRR:186561.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186564[10:MRR:186563.0,38830.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.55  186566[4:MRR:186565.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186568[4:MRR:186567.1,8759.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186570[4:MRR:186569.1,8759.0] class_Groups_Ocomm__monoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.55  186572[4:MRR:186571.1,8759.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.55  186574[4:MRR:186573.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.55  186576[4:MRR:186575.1,8759.0] class_Groups_Omonoid__add(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.55  186758[0:SpR:363.1,1143.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186757[0:SpR:359.1,1143.1] class_Groups_Omonoid__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186756[0:SpR:360.1,1143.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186752[0:SpR:401.1,1143.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186751[0:SpR:403.1,1143.1] class_Rings_Omult__zero(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186702[0:SpR:359.1,1143.1] class_Groups_Omonoid__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.55  186701[0:SpR:360.1,1143.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.55  186697[0:SpR:401.1,1143.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u))))*.
% 299.87/300.55  186696[0:SpR:403.1,1143.1] class_Rings_Omult__zero(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u))))*.
% 299.87/300.55  186849[0:SSi:186772.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))*.
% 299.87/300.55  186850[0:SSi:186717.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))))))*.
% 299.87/300.55  186851[0:AED:109.0,186759.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186853[0:AED:109.0,186734.2] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.55  186854[0:AED:109.0,186704.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u))))*.
% 299.87/300.55  186856[0:AED:109.0,186679.2] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.55  188029[0:Res:3664.0,259.1] hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_fNot,v,u)),u)**.
% 299.87/300.55  187872[0:SpR:3664.2,2523.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(u,w,v)),v))*.
% 299.87/300.55  187728[0:SpR:179305.0,3664.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 299.87/300.55  187724[15:SpR:76473.0,3664.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,w)),v,u)),u)**.
% 299.87/300.55  187723[15:SpR:67619.0,3664.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,w)),v,u)),u)**.
% 299.87/300.55  188602[0:Res:3662.0,259.1] hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_fNot,v,u)),u)**.
% 299.87/300.55  188445[0:SpR:3662.2,2523.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(u,w,v)),v))*.
% 299.87/300.55  188301[0:SpR:179305.0,3662.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 299.87/300.55  188297[15:SpR:76473.0,3662.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,w)),v,u)),u)**.
% 299.87/300.55  188296[15:SpR:67619.0,3662.0] ||  -> hBOOL(c_Groups_Ozero__class_Ozero(t_a)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,w)),v,u)),u)**.
% 299.87/300.55  25327[0:Rew:602.0,25298.2] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,hAPP(w,x)))* -> hBOOL(hAPP(v,hAPP(w,c_Orderings_Oord__class_OLeast(u,hAPP(hAPP(c_COMBB(y,z,x1),v),w)))))*.
% 299.87/300.55  24464[0:Res:576.2,464.1] class_Orderings_Owellorder(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(w,x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,w)))))*.
% 299.87/300.55  40926[0:Rew:741.1,40915.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))))*.
% 299.87/300.55  43256[0:Res:725.2,464.1] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* equal(x,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,x))))*.
% 299.87/300.55  50321[0:SpL:745.1,464.1] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)))))*.
% 299.87/300.55  50539[0:Res:779.2,656.2] class_Orderings_Oorder(u) class_Orderings_Owellorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Orderings_Oord__class_OLeast(u,w)))* hBOOL(hAPP(w,v)) -> equal(v,c_Orderings_Oord__class_OLeast(u,w)).
% 299.87/300.55  51040[0:Res:779.2,50956.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf46(c_Orderings_Oord__class_Oless(u,v))))* -> equal(skf46(c_Orderings_Oord__class_Oless(u,v)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.55  56734[0:Res:835.2,384.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.55  56846[0:Res:833.2,384.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.55  59753[0:Rew:691.1,59610.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v)))))*.
% 299.87/300.55  60631[0:Rew:691.1,60481.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf48(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v)))))*.
% 299.87/300.55  76492[0:SSi:76448.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,w,u)),skf48(c_fequal(skf56(u,v)))),hAPP(c_Polynomial_Opoly(tc_Int_Oint,w),v))**.
% 299.87/300.55  43851[0:SpR:742.0,691.1] class_Groups_Ouminus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(tc_fun(y,u))),z),x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(x1,hAPP(z,x1))))*.
% 299.87/300.55  44083[0:SpR:443.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),z),hAPP(z,hAPP(y,z)))*.
% 299.87/300.55  44139[0:SpL:742.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),z),x1))* -> hBOOL(hAPP(hAPP(y,x1),c_Orderings_Oord__class_OLeast(u,hAPP(y,x1))))*.
% 299.87/300.55  43854[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_COMBS(x,y,z)),x1),x2),x3),hAPP(hAPP(x2,x3),hAPP(hAPP(x1,x2),x3)))*.
% 299.87/300.55  44026[0:SpR:379.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Nat_Onat_Onat__case(x,y,z)),x1),hAPP(c_Nat_OSuc,x2)),hAPP(hAPP(z,x2),hAPP(x1,hAPP(c_Nat_OSuc,x2))))*.
% 299.87/300.55  43894[0:SpR:379.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Nat_Onat_Onat__case(y,z,x1)),hAPP(c_Nat_OSuc,x2)),hAPP(hAPP(x,hAPP(c_Nat_OSuc,x2)),hAPP(x1,x2)))*.
% 299.87/300.55  43951[0:SpR:443.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),z),hAPP(hAPP(y,z),z))*.
% 299.87/300.55  1149[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBB(u,u,tc_Nat_Onat),hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Polynomial_Ocoeff(u,w))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))**.
% 299.87/300.55  43941[0:SpR:9490.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(y))),skf50(skf64(y))),hAPP(hAPP(x,skf50(skf64(y))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.55  75677[0:Res:390.1,976.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),x),w)))*.
% 299.87/300.55  73701[0:Res:988.2,51176.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),skf49(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.55  74322[0:Res:576.2,986.1] class_Orderings_Owellorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(u,v))))*.
% 299.87/300.55  43149[0:Res:724.2,464.1] class_Orderings_Olinorder(u) class_Orderings_Owellorder(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* equal(x,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,x))))*.
% 299.87/300.55  50448[0:Res:776.2,656.2] class_Orderings_Olinorder(u) class_Orderings_Owellorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Orderings_Oord__class_OLeast(u,w)))* hBOOL(hAPP(w,v)) -> equal(v,c_Orderings_Oord__class_OLeast(u,w)).
% 299.87/300.55  51041[0:Res:776.2,50956.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf46(c_Orderings_Oord__class_Oless(u,v))))* -> equal(skf46(c_Orderings_Oord__class_Oless(u,v)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.55  55379[0:Res:576.2,892.1] class_Orderings_Owellorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(u,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  73524[0:Res:952.2,584.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  73523[0:Res:952.2,583.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  73803[0:Res:972.2,584.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  73802[0:Res:972.2,583.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  64246[0:Res:918.2,648.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  64245[0:Res:918.2,644.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  64244[0:Res:918.2,647.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  63655[0:Res:934.2,655.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  63654[0:Res:934.2,653.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  63718[0:Res:916.2,648.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  63717[0:Res:916.2,644.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  63716[0:Res:916.2,647.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> .
% 299.87/300.55  64115[0:Res:932.2,655.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  64114[0:Res:932.2,653.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  73818[0:Res:972.2,51176.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),skf49(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.55  70163[0:Obv:70060.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))**.
% 299.87/300.55  72579[0:SpR:1659.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),y)))*.
% 299.87/300.55  71153[0:Rew:1659.1,71046.2] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.55  72629[0:SpL:1659.1,51176.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.55  20092[0:SpL:554.1,464.1] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w))))*.
% 299.87/300.55  44081[0:SpR:442.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(y,z)))**.
% 299.87/300.55  43949[0:SpR:442.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.55  76292[0:SpL:994.1,51176.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf49(hAPP(c_Polynomial_Osmult(u),v))))*.
% 299.87/300.55  51050[0:Res:694.1,50956.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf46(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.55  18319[0:SpL:495.1,464.1] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),skf37(u,w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_OpCons(u),skf37(u,w)))))*.
% 299.87/300.55  58609[0:SpL:742.0,905.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_OpCons(u)),x1),x2))* -> equal(v,x2).
% 299.87/300.55  73613[0:Res:991.2,51176.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),skf49(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.55  70100[0:SpR:371.1,1686.1] class_Lattices_Oboolean__algebra(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))**.
% 299.87/300.55  48682[0:SpR:747.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))**.
% 299.87/300.55  76449[0:SpR:595.1,1004.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))),x),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.55  70628[0:Obv:70513.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))**.
% 299.87/300.55  70511[0:SpR:1685.1,1686.1] class_Groups_Ogroup__add(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.55  71524[0:SpR:71409.1,941.1] class_RealVector_Oreal__normed__algebra(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.55  72854[0:SpR:999.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),y)))*.
% 299.87/300.55  72905[0:SpL:999.1,51176.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.55  71431[0:Rew:999.1,71316.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.55  71428[0:Rew:999.1,71361.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.55  74183[0:SSi:74148.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u))*.
% 299.87/300.55  74518[0:SSi:74507.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.55  49763[0:SSi:49730.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))*.
% 299.87/300.55  49764[0:SSi:49724.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),w))*.
% 299.87/300.55  78708[0:SSi:78707.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))),x),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,u,v),w)),x))**.
% 299.87/300.55  48909[0:SSi:48847.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> equal(skf48(c_fequal(skf56(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)).
% 299.87/300.55  43845[0:SpR:742.0,713.1] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_Ocoeff(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_OpCons(u)),y),z)),c_Nat_Onat_Onat__case(u,z,c_Polynomial_Ocoeff(u,hAPP(y,z))))*.
% 299.87/300.55  39334[0:AED:109.0,39311.2] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)))))*.
% 299.87/300.55  50986[0:SpL:617.2,50956.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf46(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x))*.
% 299.87/300.55  66088[0:SpL:936.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),x))* -> SkP2(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x).
% 299.87/300.55  65965[0:SpL:941.1,334.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),x))* -> SkP2(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x).
% 299.87/300.55  65872[0:SpL:931.1,334.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)*.
% 299.87/300.55  66681[0:SpL:947.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),y))* -> SkP2(c_Polynomial_Opoly(u,v),hAPP(c_Polynomial_Opoly(u,w),x),y).
% 299.87/300.55  65951[0:SpR:49304.1,941.1] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.55  74759[0:SpL:594.1,951.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w))*.
% 299.87/300.55  73498[0:SpR:594.1,952.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  74622[0:SpL:594.1,953.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w))*.
% 299.87/300.55  73349[0:SpR:594.1,954.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  65953[0:SpR:308.1,941.1] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.55  56759[0:SSi:56731.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)).
% 299.87/300.55  44073[0:SpR:9490.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(x))),y),skf50(skf64(x))),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(y,skf50(skf64(x)))))**.
% 299.87/300.55  30528[0:SpL:607.2,492.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(hAPP(w,skf33(w,c_Polynomial_Opoly(u,v))),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Polynomial_Opoly(u,v),w).
% 299.87/300.55  30530[0:SpL:607.2,492.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(hAPP(w,skf33(c_Polynomial_Opoly(u,v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Polynomial_Opoly(u,v)).
% 299.87/300.55  43319[0:SpL:689.2,384.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),x))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,w)))))*.
% 299.87/300.55  62005[0:SpR:5744.1,12672.1] || equal(u,skf61(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),w)*.
% 299.87/300.55  43878[0:SpR:448.2,742.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Groups_Ouminus__class_Ouminus(u)),v),hAPP(hAPP(z,v),v))*.
% 299.87/300.55  44010[0:SpR:448.2,742.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ouminus__class_Ouminus(u)),z),v),hAPP(v,hAPP(z,v)))*.
% 299.87/300.55  66655[0:SpR:947.1,5744.1] class_Rings_Ocomm__semiring__0(u) || equal(v,hAPP(c_Polynomial_Opoly(u,w),x)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,y,w)),x),hAPP(c_Polynomial_Opoly(u,y),v))*.
% 299.87/300.55  76453[0:SpR:558.2,1004.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,x)),v),hAPP(c_Polynomial_Opoly(u,w),x))**.
% 299.87/300.55  50333[0:Rew:745.1,50315.3] class_Groups_Ozero(u) class_Groups_Oab__group__add(u) || equal(v,w) -> equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),x))*.
% 299.87/300.55  50985[0:SpL:616.2,50956.0] class_Groups_Ozero(u) || equal(skf46(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),w) hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x))*.
% 299.87/300.55  66116[0:SSi:66071.0,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w))**.
% 299.87/300.55  48036[0:SpR:13147.1,12636.1] || equal(skf48(c_fequal(skf56(u,v))),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),v)*.
% 299.87/300.55  66509[0:SpL:5744.1,920.1] class_Orderings_Oord(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(x,u),w),y))* -> .
% 299.87/300.55  64564[0:SpL:5744.1,917.1] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  63714[0:SpR:5744.1,916.2] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.55  64549[0:SpL:5744.1,917.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.55  63699[0:SpR:5744.1,916.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64689[0:SpL:5744.1,919.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64706[0:SpL:5744.1,919.1] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64220[0:SpR:5744.1,918.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  64237[0:SpR:5744.1,918.2] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.55  74745[0:SpL:597.2,951.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.55  74746[0:SpL:598.2,951.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.55  73484[0:SpR:597.2,952.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  73485[0:SpR:598.2,952.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  29337[0:Res:540.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)),w))* equal(hAPP(c_Int_Onat,u),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.55  64496[0:SpL:5744.1,935.1] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  63650[0:SpR:5744.1,934.2] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.55  64483[0:SpL:5744.1,935.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.55  63637[0:SpR:5744.1,934.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64613[0:SpL:5744.1,933.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64627[0:SpL:5744.1,933.1] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  64093[0:SpR:5744.1,932.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  64107[0:SpR:5744.1,932.2] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.55  74608[0:SpL:597.2,953.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.87/300.55  74609[0:SpL:598.2,953.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.87/300.55  73335[0:SpR:597.2,954.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  73336[0:SpR:598.2,954.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  10886[0:Rew:354.1,10835.1] class_Groups_Ocomm__monoid__add(u) || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),skf34(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  10885[0:Rew:355.1,10836.1] class_Groups_Omonoid__add(u) || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),skf34(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  51019[0:SpL:748.2,50956.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf46(hAPP(c_Groups_Oplus__class_Oplus(u),v))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.55  51020[0:SpL:752.2,50956.0] class_Groups_Ogroup__add(u) || equal(skf46(hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.55  29280[0:SpL:505.1,12641.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.55  29281[0:SpL:506.1,12641.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.55  42843[0:SpR:448.2,691.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Groups_Ouminus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_fun(u,v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(w,x)),hAPP(w,x))**.
% 299.87/300.55  65686[0:SpL:5744.1,938.1] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))*.
% 299.87/300.55  64856[0:SpR:5744.1,937.2] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))*.
% 299.87/300.55  65741[0:SpL:5744.1,940.1] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))*.
% 299.87/300.55  65624[0:SpR:5744.1,939.2] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.55  65743[0:SpL:5744.1,940.1] class_Rings_Ocomm__ring__1(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))*.
% 299.87/300.55  65626[0:SpR:5744.1,939.2] class_Rings_Ocomm__ring__1(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),v))*.
% 299.87/300.55  65728[0:SpL:5744.1,940.1] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))*.
% 299.87/300.55  65611[0:SpR:5744.1,939.2] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.55  65671[0:SpL:5744.1,938.1] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))*.
% 299.87/300.55  64841[0:SpR:5744.1,937.2] class_Rings_Ocomm__ring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))*.
% 299.87/300.55  65684[0:SpL:5744.1,938.1] class_Rings_Ocomm__ring__1(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))*.
% 299.87/300.55  64854[0:SpR:5744.1,937.2] class_Rings_Ocomm__ring__1(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x))*.
% 299.87/300.55  10881[0:Rew:365.1,10845.1] class_Rings_Ocomm__semiring__1(u) || equal(skf35(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),skf34(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  10884[0:Rew:363.1,10842.1] class_Rings_Ocomm__semiring__1(u) || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  10883[0:Rew:359.1,10843.1] class_Groups_Omonoid__mult(u) || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  10882[0:Rew:360.1,10844.1] class_Groups_Ocomm__monoid__mult(u) || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.55  18943[0:SpL:272.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)),skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))** -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  18903[0:SpL:272.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u).
% 299.87/300.55  62010[0:SpR:12874.1,12672.1] || equal(u,hAPP(c_Nat_OSuc,skf61(v,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(u))),w)*.
% 299.87/300.55  44059[0:SpR:401.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  44060[0:SpR:403.1,742.0] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  73188[0:Rew:813.1,73038.2] class_Rings_Oring(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  43927[0:SpR:401.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  43928[0:SpR:403.1,742.0] class_Rings_Omult__zero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  47839[0:SpR:13147.1,3757.0] || equal(skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v))),w) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w),x),c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  74441[0:Res:27877.0,21751.0] || equal(skf44(u,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))),v)* -> equal(hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.55  66089[0:SpL:936.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),x))* -> SkP1(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x).
% 299.87/300.55  65966[0:SpL:941.1,333.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),x))* -> SkP1(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x).
% 299.87/300.55  65873[0:SpL:931.1,333.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)*.
% 299.87/300.55  66682[0:SpL:947.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),y))* -> SkP1(c_Polynomial_Opoly(u,v),hAPP(c_Polynomial_Opoly(u,w),x),y).
% 299.87/300.55  61471[0:SpL:18347.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(w)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf50(skf64(w)))).
% 299.87/300.55  61415[0:Rew:18347.0,61362.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(w)))),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.87/300.55  59358[0:SpR:18347.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))))*.
% 299.87/300.55  61327[0:SpR:6450.1,3764.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(v,x)))*.
% 299.87/300.55  61476[0:SpL:6450.1,3765.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(v,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.55  59363[0:SpR:6450.1,3759.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(v,x)))*.
% 299.87/300.55  61566[0:Rew:3753.0,61523.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.55  61334[0:SpR:3753.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.55  61374[0:SpR:3753.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  61488[0:SpL:13412.1,3765.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))*.
% 299.87/300.55  61528[0:SpL:13412.1,3765.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  61367[0:SpR:6450.1,3764.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,x)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.55  61516[0:SpL:6450.1,3765.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.55  59403[0:SpR:6450.1,3759.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))*.
% 299.87/300.55  61372[0:SpR:3754.1,3764.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.55  59375[0:SpR:13412.1,3759.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.55  61521[0:SpL:3754.1,3765.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.55  59408[0:SpR:3754.1,3759.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))*.
% 299.87/300.55  61332[0:SpR:3754.1,3764.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  61379[0:SpR:13412.1,3764.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.87/300.55  59458[0:Rew:3753.0,59410.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,u))),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.55  59415[0:SpR:13412.1,3759.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.55  61530[0:SpL:2135.1,3765.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.55  59417[0:SpR:2135.1,3759.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  47746[0:SpR:3757.0,3722.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))))*.
% 299.87/300.55  61381[0:SpR:2135.1,3764.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.55  59286[0:Rew:15222.0,59220.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.55  47851[0:SpL:3757.0,3730.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),x)).
% 299.87/300.55  69634[0:Res:3729.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.55  29338[0:Res:12782.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(c_Int_Onat,v))))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w))*.
% 299.87/300.55  59229[0:Res:651.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.55  59211[0:SpL:2135.1,914.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(x,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.55  52336[0:Res:871.1,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)).
% 299.87/300.55  59213[0:SpL:5744.1,914.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* equal(x,hAPP(c_Nat_OSuc,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.55  59288[0:SSi:59249.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))))*.
% 299.87/300.55  41428[0:MRR:41427.1,108.0] || hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf55(v,c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))))*.
% 299.87/300.55  61532[0:SpL:5744.1,3765.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.55  59419[0:SpR:5744.1,3759.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),u))*.
% 299.87/300.55  77027[0:Res:963.2,51176.0] || SkP2(u,v,w)* SkP1(u,v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(hAPP(u,v),skf49(hAPP(u,v))))*.
% 299.87/300.55  72408[0:SpR:955.1,740.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w))),v))*.
% 299.87/300.55  61383[0:SpR:5744.1,3764.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),u))*.
% 299.87/300.55  76653[15:SpR:67570.0,963.2] || SkP2(c_Polynomial_Opoly(t_a,v_cs____),u,v)* SkP1(c_Polynomial_Opoly(t_a,v_cs____),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  76945[0:SpR:414.0,963.2] || SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,v) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  61702[0:SpL:18347.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(w)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(skf64(w)))).
% 299.87/300.55  61742[0:SpL:18347.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(v))),w)).
% 299.87/300.55  59821[0:SpR:18347.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u)))),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.55  59781[0:SpR:18347.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))))*.
% 299.87/300.55  61258[0:Rew:18347.0,61211.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(w)))),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))))*.
% 299.87/300.55  61231[0:SpR:5744.1,3763.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),u))*.
% 299.87/300.55  61228[0:SpR:13412.1,3763.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.87/300.55  59838[0:SpR:13412.1,3760.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.55  59798[0:SpR:13412.1,3760.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.55  61181[0:SpR:3754.1,3763.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  61176[0:SpR:6450.1,3763.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(v,x)))*.
% 299.87/300.55  47745[0:SpR:3757.0,3721.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))))*.
% 299.87/300.55  61221[0:SpR:3754.1,3763.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.55  61216[0:SpR:6450.1,3763.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(v,x)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.55  61762[0:SpL:5744.1,3767.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.55  59841[0:SpR:5744.1,3760.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),u))*.
% 299.87/300.55  59831[0:SpR:3754.1,3760.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))*.
% 299.87/300.55  69645[0:Res:3738.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.55  61183[0:SpR:3753.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.55  28809[0:Res:12938.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),skf48(c_fequal(u))))* -> equal(skf48(c_fequal(v)),skf48(c_fequal(u))).
% 299.87/300.55  47853[0:SpL:3757.0,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),x)).
% 299.87/300.55  59786[0:SpR:6450.1,3760.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(v,x)))*.
% 299.87/300.55  59826[0:SpR:6450.1,3760.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(v,w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))*.
% 299.87/300.55  61707[0:SpL:6450.1,3767.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(v,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)).
% 299.87/300.55  61747[0:SpL:6450.1,3767.0] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(v,w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)).
% 299.87/300.55  56553[0:Res:847.2,384.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.55  61719[0:SpL:13412.1,3767.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))*.
% 299.87/300.55  61752[0:SpL:3754.1,3767.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)).
% 299.87/300.55  61759[0:SpL:13412.1,3767.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.55  68058[0:Res:579.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.87/300.55  48398[0:MRR:48391.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u))* -> equal(skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),u).
% 299.87/300.55  28946[0:Res:3721.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),u).
% 299.87/300.55  48360[0:SpL:15222.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))))* -> equal(w,c_Int_Onat__aux(u,v)).
% 299.87/300.55  62431[0:SpL:21745.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Nat_OSuc,skf44(u,v)),w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u,w)*.
% 299.87/300.55  62432[0:SpL:21745.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Nat_OSuc,skf44(u,v)),w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u,w)*.
% 299.87/300.55  65785[0:SpR:931.1,5744.1] class_Lattices_Oab__semigroup__idem__mult(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))*.
% 299.87/300.55  66244[0:SpL:5744.1,943.1] class_Rings_Ono__zero__divisors(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u))* equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  66177[0:SpL:5744.1,942.1] class_Rings_Oring__no__zero__divisors(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u))* equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  49726[0:SpL:816.1,502.1] class_Groups_Oab__group__add(u) class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  66249[0:SpL:5744.1,943.1] class_Rings_Ono__zero__divisors(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(x,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.55  66182[0:SpL:5744.1,942.1] class_Rings_Oring__no__zero__divisors(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(x,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u))*.
% 299.87/300.55  76301[0:SSi:76276.0,122.1] class_Rings_Oidom(u) || equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.55  56561[0:SSi:56547.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)).
% 299.87/300.55  60791[0:Rew:18347.0,60722.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.55  60043[0:SpR:6450.1,3761.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(v,x)))*.
% 299.87/300.55  60741[0:SpR:5744.1,3762.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(x)),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x))*.
% 299.87/300.55  60739[0:SpR:13412.1,3762.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))**.
% 299.87/300.55  68899[0:Rew:3724.0,68787.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.87/300.55  60734[0:SpR:3753.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(w)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))**.
% 299.87/300.55  59960[0:SpR:3761.0,5744.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(w)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))*.
% 299.87/300.55  60048[0:SpR:3753.0,3761.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.55  60049[0:SpR:13412.1,3761.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(u)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.55  68895[0:Rew:3724.0,68821.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(u)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.55  60071[0:SpL:3761.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v),x).
% 299.87/300.55  60072[0:SpL:3761.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v),x).
% 299.87/300.55  80469[0:Rew:276.0,80390.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))*.
% 299.87/300.55  62413[0:SpR:5744.1,21745.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w),hAPP(c_Nat_OSuc,skf44(w,v)))*.
% 299.87/300.55  62381[0:SpR:21745.1,5744.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(w,u) -> equal(hAPP(c_Nat_OSuc,skf44(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w))*.
% 299.87/300.55  68578[0:Rew:22545.0,68548.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(u)))),v))*.
% 299.87/300.55  69154[0:Rew:22545.0,69100.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(v)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))).
% 299.87/300.55  60643[0:SpR:3762.0,5744.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),w)),u))*.
% 299.87/300.55  69672[0:Res:1608.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.55  69679[0:Res:375.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.55  68721[4:Rew:3749.0,68683.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.55  69649[0:Res:1608.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.55  60749[0:SpL:3762.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),x)),c_Int_Onat__aux(skf48(c_fequal(v)),x),w)*.
% 299.87/300.55  60750[0:SpL:3762.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),x)),c_Int_Onat__aux(skf48(c_fequal(v)),x),w)*.
% 299.87/300.55  69681[0:Res:378.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.55  62421[0:SpR:5744.1,21745.1] || equal(u,hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),hAPP(c_Nat_OSuc,skf44(w,v)))*.
% 299.87/300.55  67025[0:Rew:66992.0,66948.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.55  80338[0:Rew:276.0,80295.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.55  60694[0:SpR:3753.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  62816[0:SpL:15222.0,929.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),x))* -> equal(w,x).
% 299.87/300.55  62820[0:SpL:5744.1,929.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u))* -> equal(x,v)*.
% 299.87/300.55  65889[0:Rew:3703.0,65801.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.55  46524[0:SpR:13147.1,3703.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  46667[0:SpR:3704.0,3753.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,u)))**.
% 299.87/300.55  46487[0:SpR:3703.0,3753.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.55  71163[0:Rew:1659.1,71162.1,1659.1,71162.1,1661.1,71162.1,1659.1,71162.1] class_Rings_Oring(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))))*.
% 299.87/300.55  46705[0:SpR:13147.1,3704.0] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u))**.
% 299.87/300.55  46329[0:SpR:13147.1,12957.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(w))))*.
% 299.87/300.55  48315[0:MRR:48234.0,243.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))),u) equal(hAPP(c_Int_Onat,u),v).
% 299.87/300.55  46316[0:SpR:13147.1,12957.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))*.
% 299.87/300.55  46815[0:SpL:13147.1,3713.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))*.
% 299.87/300.55  46381[0:SpL:13147.1,12958.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))*.
% 299.87/300.55  46835[0:SpL:18347.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(skf64(u))),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(skf64(u))),v)).
% 299.87/300.55  46913[0:SpR:13147.1,3714.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),w)))*.
% 299.87/300.55  46933[0:SpR:18347.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(skf64(u))),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf50(skf64(u))),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u)))))*.
% 299.87/300.55  46394[0:SpL:13147.1,12958.0] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),skf48(c_fequal(w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))*.
% 299.87/300.55  72139[0:Rew:72138.0,46207.1] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf48(c_fequal(w)))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))*.
% 299.87/300.55  72124[0:Rew:72123.0,46194.1] || equal(skf48(c_fequal(u)),v) -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(w))),v)),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))))*.
% 299.87/300.55  47073[0:SpL:13147.1,12673.0] || equal(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)* equal(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))*.
% 299.87/300.55  18913[0:SpL:503.2,492.0] class_Groups_Ogroup__add(u) || equal(skf33(v,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(v,skf33(v,c_Groups_Ouminus__class_Ouminus(u))),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Groups_Ouminus__class_Ouminus(u),v).
% 299.87/300.55  18953[0:SpL:503.2,492.0] class_Groups_Ogroup__add(u) || equal(skf33(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(v,skf33(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ouminus__class_Ouminus(u)).
% 299.87/300.55  16738[0:SpL:503.2,441.0] class_Groups_Ogroup__add(u) || equal(skf35(c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf34(c_Groups_Ouminus__class_Ouminus(u))),c_Groups_Ozero__class_Ozero(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Groups_Ouminus__class_Ouminus(u))*.
% 299.87/300.55  53503[0:Res:348.0,888.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),u))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(c_Nat_OSuc,u)).
% 299.87/300.55  76943[0:SpR:418.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,v) SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  56990[0:Rew:15042.0,56898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* equal(skf44(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v),w)* -> equal(v,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.55  28927[0:SpL:2872.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  29333[0:Res:539.0,12641.0] || equal(u,skf48(c_fequal(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))* equal(hAPP(c_Int_Onat,u),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.55  66638[0:Rew:3723.1,66587.3] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(x)),v)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.55  66636[0:Rew:3723.1,66595.3] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),x)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.55  42444[0:SpL:736.1,384.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.55  66566[0:SpR:3723.1,5744.1] class_Rings_Osemiring__1(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(x)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,x)),v))*.
% 299.87/300.55  66614[0:SpL:3723.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x)*.
% 299.87/300.55  66613[0:SpL:3723.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x)*.
% 299.87/300.55  43602[0:SpR:313.1,739.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,w))**.
% 299.87/300.55  66599[0:SpR:5744.1,3723.1] class_Rings_Osemiring__1(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.55  58405[0:SpL:736.1,895.1] class_Rings_Osemiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)))** -> equal(v,c_Groups_Oone__class_Oone(u)).
% 299.87/300.55  58275[0:SpL:736.1,897.1] class_Rings_Osemiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)))* -> equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)).
% 299.87/300.55  58141[0:SpL:736.1,896.1] class_Rings_Osemiring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)))* -> equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)).
% 299.87/300.55  43561[0:SpR:1607.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.55  66648[0:SpR:5744.1,909.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_COMBC(u,u,u,c_Groups_Oplus__class_Oplus(u)),v),w,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,w))**.
% 299.87/300.55  47848[0:SpL:3757.0,3744.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  43964[0:SpR:1637.1,742.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),z),hAPP(hAPP(y,z),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.55  44096[0:SpR:1637.1,742.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),y),z),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(y,z)))**.
% 299.87/300.55  65888[0:Rew:12953.0,65855.1] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))**.
% 299.87/300.55  55478[0:MRR:55464.3,251.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,u)).
% 299.87/300.55  50719[0:SpR:742.0,1925.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(tc_Nat_Onat)),y),u)))*.
% 299.87/300.55  58953[0:SpR:5744.1,1901.1] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),w))*.
% 299.87/300.55  58948[0:SpR:5744.1,1901.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),v))*.
% 299.87/300.55  58966[0:SpR:2135.1,1901.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.55  58968[0:SpR:5744.1,1901.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))),u))*.
% 299.87/300.55  77423[0:SSi:77409.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> .
% 299.87/300.55  77422[0:SSi:77410.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> .
% 299.87/300.55  50806[0:SpL:742.0,1926.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),y)).
% 299.87/300.55  56804[0:SpR:12570.1,833.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf48(c_fequal(w)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.55  56822[0:SpR:12570.1,833.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.55  56703[0:SpR:12570.1,835.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),skf48(c_fequal(w)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.55  56721[0:SpR:12570.1,835.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.55  56433[0:SpL:12570.1,834.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf48(c_fequal(w)))).
% 299.87/300.55  56451[0:SpL:12570.1,834.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),w)).
% 299.87/300.55  56290[0:SpL:12570.1,836.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),skf48(c_fequal(w)))).
% 299.87/300.55  56308[0:SpL:12570.1,836.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),w)).
% 299.87/300.55  69623[0:Res:395.2,3665.0] hBOOL(u) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_fconj,u),x))*.
% 299.87/300.55  63204[0:Res:922.2,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.55  63034[0:SpL:5744.1,923.0] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))* SkP0(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.55  63002[0:SpL:5744.1,923.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))* SkP0(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.55  63190[0:SpR:5744.1,922.2] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* SkP0(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))*.
% 299.87/300.55  63158[0:SpR:5744.1,922.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* SkP0(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.55  63018[0:SpL:5744.1,923.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))* SkP0(w,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.55  63174[0:SpR:5744.1,922.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* SkP0(w,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))*.
% 299.87/300.55  62398[4:SpR:21745.1,54404.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),u))* -> hBOOL(hAPP(c_Nat_OSuc,skf44(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),u))).
% 299.87/300.55  43926[0:SpR:402.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  44058[0:SpR:402.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.55  10887[0:Rew:351.1,10834.1] class_Rings_Ocomm__semiring__1(u) || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),skf34(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  19873[0:SpL:565.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.87/300.55  72231[0:SpR:956.1,558.2] class_Rings_Oring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),c_Int_Oring__1__class_Oof__int(u,w))**.
% 299.87/300.55  72280[0:SpL:956.1,557.1] class_Rings_Oring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Int_Oring__1__class_Oof__int(u,v))** -> equal(c_Int_Oring__1__class_Oof__int(u,w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.55  72398[0:SpR:955.1,597.2] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  72399[0:SpR:955.1,598.2] class_Rings_Oring__1(u) class_Groups_Oab__group__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  72455[0:SpL:955.1,596.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)).
% 299.87/300.55  72456[0:SpL:955.1,599.1] class_Rings_Oring__1(u) class_Groups_Oab__group__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)).
% 299.87/300.55  65952[0:SpR:20457.1,941.1] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.55  29774[0:SpL:615.2,384.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.55  29934[0:SpL:613.2,384.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.55  40992[0:SpL:699.2,384.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.55  29234[0:SpL:503.2,12641.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.55  61052[0:Rew:691.1,60926.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf47(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v)))))*.
% 299.87/300.55  60363[0:Rew:691.1,60237.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf57(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v)))))*.
% 299.87/300.55  79525[0:SSi:79524.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.55  79523[0:SSi:79522.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))*.
% 299.87/300.55  78678[0:SSi:78677.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))),v))**.
% 299.87/300.55  79320[0:SSi:79319.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(v)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))**.
% 299.87/300.55  74185[0:SSi:74111.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))*.
% 299.87/300.55  74184[0:SSi:74112.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))*.
% 299.87/300.55  74341[0:SSi:74331.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.55  62008[0:SpR:12589.1,12672.1] || equal(hAPP(c_Nat_OSuc,skf61(u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)*.
% 299.87/300.55  61310[0:SpR:12545.1,3764.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(u,w)))*.
% 299.87/300.55  61350[0:SpR:12545.1,3764.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  61159[0:SpR:12545.1,3763.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf64(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(u,w)))*.
% 299.87/300.55  61199[0:SpR:12545.1,3763.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.55  18944[0:SpL:262.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))** -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.55  18904[0:SpL:262.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u).
% 299.87/300.55  44770[0:Rew:691.1,44647.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))))*.
% 299.87/300.55  79783[0:SSi:79782.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,v)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(v)))))*.
% 299.87/300.55  79785[0:SSi:79784.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(v)))),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.55  43683[0:SpR:26576.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v,c_Groups_Oone__class_Oone(tc_Int_Oint)))**.
% 299.87/300.55  75121[0:Res:29873.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))*.
% 299.87/300.55  78769[0:Res:48874.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))*.
% 299.87/300.55  43320[0:SpL:689.2,383.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,w)))))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),x))*.
% 299.87/300.55  30387[0:SpL:609.2,383.0] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),v))),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.55  40925[0:Rew:741.1,40916.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.55  43322[0:SpL:689.2,12569.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),skf57(c_Polynomial_Ocoeff(u,w))))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf48(c_fequal(x))))*.
% 299.87/300.55  30392[0:SpL:609.2,12569.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf57(hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(c_fequal(w))))*.
% 299.87/300.55  40924[0:Rew:741.1,40918.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf48(c_fequal(v))))*.
% 299.87/300.55  66444[8:SpL:49088.0,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(skf62(c_Int_Onat,skf47(c_Int_Onat)),u)),u).
% 299.87/300.55  65865[0:SpL:931.1,620.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  52103[0:Res:579.1,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(u,hAPP(c_Nat_OSuc,v)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,u)),u).
% 299.87/300.55  43913[0:SpR:458.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z)),u),hAPP(hAPP(y,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43933[0:SpR:491.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),z)),u),hAPP(hAPP(y,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.55  43960[0:SpR:490.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  44045[0:SpR:458.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y)),z),u),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(z,u)))**.
% 299.87/300.55  44065[0:SpR:491.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y)),z),u),hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(z,u)))**.
% 299.87/300.55  44092[0:SpR:490.1,742.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),y),z),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,z)))**.
% 299.87/300.55  63491[0:SpL:5744.1,924.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))* -> equal(w,x) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.55  63340[0:SpL:5744.1,925.0] || equal(u,v) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u))* -> equal(w,x) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  62417[0:SpR:9370.1,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(v)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),hAPP(c_Nat_OSuc,skf44(u,skf50(v)))).
% 299.87/300.55  59094[0:SpL:2135.1,915.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(w,x)),w))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.55  59122[0:Res:539.0,915.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(u,w)),u))* equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  55693[0:SpL:837.1,1656.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  69774[4:MRR:69545.1,8759.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w))*.
% 299.87/300.55  63495[0:SpL:5744.1,924.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))* -> equal(x,v)* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  59084[0:SpL:5744.1,915.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,x)),v))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  59096[0:SpL:5744.1,915.0] || equal(u,hAPP(c_Nat_OSuc,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,x)),v))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  47850[0:SpL:3757.0,3741.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  41085[0:SpR:451.2,690.2] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.55  41749[0:Res:322.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))*.
% 299.87/300.55  41824[0:Res:3537.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))*.
% 299.87/300.55  69475[0:SpL:593.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(w,x))*.
% 299.87/300.55  28442[0:SpL:614.1,464.1] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || hBOOL(c_Polynomial_Omonom(u,w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_OpCons(u),w))))*.
% 299.87/300.55  29101[0:SpL:683.2,12569.0] class_Power_Opower(u) || equal(skf57(hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf48(c_fequal(w))))*.
% 299.87/300.55  29097[0:SpL:683.2,383.0] class_Power_Opower(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.55  80001[2:Res:52297.1,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.55  63121[0:Res:63055.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.55  41737[0:Res:26072.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.55  41802[0:Res:20513.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))))*.
% 299.87/300.55  41823[0:Res:3536.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))))*.
% 299.87/300.55  79662[2:Res:52296.1,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.55  48240[0:Res:12638.1,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,v)))*.
% 299.87/300.55  41678[0:Res:26032.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))),v)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.55  41790[0:Res:585.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.55  41826[0:Res:19575.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))))*.
% 299.87/300.55  77083[0:MRR:77028.2,41914.0] || SkP2(u,v,w)* SkP1(u,v,w) -> hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.55  78466[0:Res:42448.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.55  53801[2:Res:1649.2,53554.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.55  53619[2:Res:1649.2,52308.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.55  41781[0:Res:576.2,735.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.55  42791[0:SpL:686.1,12569.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf57(c_Polynomial_Opoly(u,v)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),skf48(c_fequal(w))))*.
% 299.87/300.55  42789[0:SpL:686.1,383.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,hAPP(c_Int_Onat,skf47(c_Polynomial_Opoly(u,v))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),w))*.
% 299.87/300.55  66695[0:SSi:66675.1,122.1] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,x,w)),v),hAPP(c_Polynomial_Opoly(u,x),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.55  42788[0:SpL:686.1,384.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,w)))))*.
% 299.87/300.55  42795[0:Obv:42781.0] class_Int_Oring__char__0(u) class_Rings_Oidom(u) || equal(v,w)* -> equal(hAPP(c_Polynomial_Opoly(u,v),x),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,x,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  43689[0:SpR:6936.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(x,v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43633[0:SpR:6937.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),hAPP(c_Nat_OSuc,v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43566[0:SpR:307.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43563[0:SpR:293.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  44146[0:SpL:742.0,700.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  43937[0:SpR:6938.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(x,hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  44150[0:SpL:742.0,1656.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Power_Opower__class_Opower(tc_Nat_Onat)),x),y),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(y,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  44069[0:SpR:6938.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),x),hAPP(c_Nat_OSuc,y)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.55  44033[0:SpR:14019.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Int_Onat),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(y))),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(y)))))**.
% 299.87/300.55  44032[0:SpR:12488.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Int_Onat),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(y))),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(y)))))**.
% 299.87/300.55  44031[0:SpR:12331.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Int_Onat),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(y))),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(y)))))**.
% 299.87/300.55  44030[0:SpR:12132.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Int_Onat),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(y))),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(y)))))**.
% 299.87/300.55  44017[0:SpR:1986.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Int_Onat),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))**.
% 299.87/300.55  43901[0:SpR:14019.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(y))),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(y))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43900[0:SpR:12488.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(y))),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(y))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43899[0:SpR:12331.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(y))),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(y))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43898[0:SpR:12132.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(y))),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(y))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  43885[0:SpR:1986.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  50975[0:SpL:690.2,50956.0] class_Rings_Ocomm__semiring__1(u) || equal(skf46(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))*.
% 299.87/300.55  71992[0:SSi:71945.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.55  71726[0:SpL:837.1,24466.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.55  68784[0:SpR:3724.0,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  68850[0:SpL:3724.0,591.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.55  64283[2:SpR:63796.1,922.2] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* SkP0(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.55  64367[2:SpL:63796.1,923.0] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* SkP0(u,v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.55  63336[0:SpL:5744.1,925.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))* -> equal(w,v)* equal(x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  65991[0:SSi:65938.0,133.1] class_Rings_Oidom(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  66696[0:SSi:66660.0,122.1] class_Rings_Oidom(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,hAPP(c_Polynomial_Opoly(u,w),x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  69353[0:SpR:593.1,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.55  72393[0:SpR:955.1,593.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  72453[0:SpL:955.1,591.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))*.
% 299.87/300.55  66870[0:Rew:2872.0,66778.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.55  66794[4:SpR:2543.1,8819.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> SkP0(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)*.
% 299.87/300.55  66795[4:SpR:2543.1,18875.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> SkP0(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.55  66832[0:SpL:2543.1,51113.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf46(c_Int_Onat))** hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> .
% 299.87/300.55  63675[0:SSi:63661.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.55  51880[2:Res:1649.2,51414.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.55  51387[0:Res:1909.0,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.55  51188[0:Res:874.1,12634.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w)))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.87/300.55  50579[0:SpR:742.0,874.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(tc_Int_Oint)),y),u)))*.
% 299.87/300.55  50583[0:Res:874.1,12554.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))**.
% 299.87/300.55  64135[0:SSi:64122.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.55  51449[2:MRR:51302.2,12497.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(u)))),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.55  51368[0:Res:325.1,12635.0] || equal(skf48(c_fequal(skf58(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))*.
% 299.87/300.55  51369[0:Res:16882.1,12635.0] || equal(skf48(c_fequal(skf58(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))*.
% 299.87/300.55  64722[0:SSi:64715.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  69642[0:Res:5871.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  79590[2:Res:12638.1,52038.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.55  56173[0:Res:12637.1,55085.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* equal(skf48(c_fequal(skf62(u,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 299.87/300.55  72677[0:SSi:72622.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.55  67823[0:Res:536.1,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u).
% 299.87/300.55  64595[0:SSi:64588.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.55  53576[2:Res:1649.2,52144.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.55  67484[0:Res:694.1,964.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.55  64596[0:SSi:64573.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.55  53924[0:SpL:12570.1,826.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))*.
% 299.87/300.55  53822[0:SpR:12570.1,825.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.55  75814[0:Res:5870.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  80575[2:Res:12638.1,53848.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.55  56510[0:Res:12637.1,55301.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* equal(skf48(c_fequal(skf62(u,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))).
% 299.87/300.55  77621[0:SSi:77595.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* -> .
% 299.87/300.55  77620[0:SSi:77596.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* -> .
% 299.87/300.55  64136[0:SSi:64109.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),skf48(c_fequal(v)))*.
% 299.87/300.55  67839[0:SSi:67810.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* equal(v,u).
% 299.87/300.55  67838[0:SSi:67812.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* equal(v,u).
% 299.87/300.55  53303[0:SpR:442.1,12637.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.55  53313[0:SpR:393.1,12637.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.55  53369[0:Res:12637.0,467.1] class_Orderings_Olinorder(u) || equal(hAPP(c_Int_Onat,v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),v))),v)**.
% 299.87/300.55  52465[0:Res:1909.0,839.0] ||  -> equal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  51750[0:Obv:51731.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  67840[0:SSi:67808.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.55  53399[0:Res:12637.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))),u).
% 299.87/300.55  51629[0:SpL:10150.1,830.1] class_Rings_Olinordered__idom(tc_Nat_Onat) || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),skf50(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  53370[0:Res:12637.0,469.1] class_Orderings_Oorder(u) || equal(v,hAPP(c_Int_Onat,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w)**.
% 299.87/300.55  52456[0:Res:395.2,839.0] hBOOL(u) hBOOL(skf62(hAPP(c_fconj,u),v)) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  52458[0:Res:16882.1,839.0] || equal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  18946[0:SpL:268.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)),skf33(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))** -> equal(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  18906[0:SpL:268.0,492.0] || equal(hAPP(u,skf33(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),skf33(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u).
% 299.87/300.55  44556[0:Rew:691.1,44434.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf60(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))))*.
% 299.87/300.55  51812[0:SpR:12570.1,829.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.55  51647[0:SpL:12570.1,830.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  70623[0:SSi:70564.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u)).
% 299.87/300.55  45733[0:SpL:1657.0,820.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)).
% 299.87/300.55  45222[0:SpR:1657.0,819.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  70627[0:SSi:70518.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  72515[0:SSi:72407.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  72514[0:SSi:72461.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))).
% 299.87/300.55  74671[0:SSi:74631.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)).
% 299.87/300.55  73394[0:SSi:73358.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.55  51018[0:SpL:744.2,50956.0] class_Rings_Oidom(u) || equal(skf46(hAPP(c_Polynomial_Osmult(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),w))*.
% 299.87/300.55  111894[18:MRR:69552.1,111803.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),w))*.
% 299.87/300.55  130936[0:SpR:108628.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.55  152845[2:Res:63093.1,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v)),skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))*.
% 299.87/300.55  153729[2:Res:12638.1,80546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.55  157448[0:Res:55594.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(skf64(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))),v)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))))*.
% 299.87/300.55  157454[0:Rew:18347.0,157443.1] || equal(skf44(skf50(skf64(u)),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)))),v)* -> equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u))),skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u))))**.
% 299.87/300.55  157559[0:Rew:18347.0,157548.1] || equal(skf44(skf50(skf64(u)),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)))),v)* -> equal(skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(u))),skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u))))**.
% 299.87/300.55  157994[0:Res:75081.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(hAPP(c_Nat_OSuc,u))),v)),skf48(c_fequal(hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.55  158094[23:SpR:2543.1,148527.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.55  160399[0:Res:63058.1,3665.0] || SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  161204[2:Res:12638.1,153797.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Int_Onat,u))).
% 299.87/300.55  163250[2:Res:161748.1,735.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.55  170390[0:Res:6728.1,1007.1] || equal(skf48(c_fequal(skf68(c_fNot,u,v))),skf48(c_fNot))** hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.55  170389[0:Res:5746.1,1007.1] || equal(skf68(c_fequal(u),v,w),u)** hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.55  170778[0:Res:6728.1,1010.1] || equal(skf48(c_fequal(skf67(c_fNot,u,v))),skf48(c_fNot))** hBOOL(hAPP(c_fNot,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.55  170777[0:Res:5746.1,1010.1] || equal(skf67(c_fequal(u),v,w),u)** hBOOL(hAPP(c_fequal(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.55  171414[0:Res:515.2,1086.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  171405[0:Res:525.1,1086.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  171523[0:Res:525.2,1037.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  171641[0:Res:525.2,1039.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.55  172266[0:SpL:1093.1,384.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,skf48(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.55  172326[0:SpL:1683.1,51176.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf49(hAPP(c_Polynomial_Osmult(u),v))))*.
% 299.87/300.55  172435[0:SpR:1064.1,508.1] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.55  172541[0:SSi:172486.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  172542[0:Rew:1064.1,172430.2] class_Power_Opower(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  172571[0:Rew:170048.0,172515.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))))*.
% 299.87/300.55  172639[0:SpR:1689.1,508.1] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.55  172730[0:Rew:1689.1,172634.2] class_Groups_Omonoid__mult(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.55  172854[0:SpR:1065.1,507.1] class_Groups_Omonoid__mult(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.55  173292[0:Rew:959.1,173291.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v)))*.
% 299.87/300.55  173307[0:SSi:173306.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(v)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.55  173310[0:SSi:173309.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),c_Int_Onat__aux(skf48(c_fequal(v)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  173313[0:SSi:173312.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  173316[0:SSi:173315.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)).
% 299.87/300.55  173323[0:SSi:173322.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),c_Int_Onat__aux(skf48(c_fequal(v)),v)))*.
% 299.87/300.55  173331[0:SSi:173330.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.55  173334[0:SSi:173333.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(v)),v)))*.
% 299.87/300.55  173337[0:SSi:173336.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)))*.
% 299.87/300.55  173818[0:SSi:173812.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))**.
% 299.87/300.55  173819[0:SSi:173804.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* -> hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.87/300.55  174318[0:SpR:5744.1,1095.1] class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),w),v),x),hAPP(hAPP(c_Polynomial_OpCons(u),w),v))**.
% 299.87/300.55  174517[0:Res:6728.1,1006.0] || equal(skf48(c_fequal(skf68(c_fNot,u,v))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.55  174846[0:Res:6728.1,1009.0] || equal(skf48(c_fequal(skf67(c_fNot,u,v))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.55  174961[0:SpR:172506.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(x,hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.55  174960[0:SpR:172506.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x),hAPP(c_Nat_OSuc,y)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(x,hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.55  175352[0:SSi:175307.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))))*.
% 299.87/300.55  175353[0:SSi:175306.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),v))))*.
% 299.87/300.55  175490[0:SpR:172507.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(x,hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.55  175489[0:SpR:172507.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),hAPP(c_Nat_OSuc,y)),hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(x,hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.55  175911[0:SSi:175849.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),x)).
% 299.87/300.55  175912[0:SSi:175848.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),x)).
% 299.87/300.55  176388[18:Res:118137.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),skf48(c_Nat_OSuc))** -> hBOOL(hAPP(c_Nat_OSuc,skf41(c_Nat_OSuc,x,y)))*.
% 299.87/300.55  176383[8:Res:19779.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.55  176382[0:Res:6866.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),skf48(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,skf41(c_Int_Onat,x,y)))*.
% 299.87/300.55  176347[0:Res:6728.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,skf41(c_fNot,x,y)))*.
% 299.87/300.55  176345[0:Res:144.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.55  176505[0:Res:176401.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),x)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w)))*.
% 299.87/300.55  176636[0:Res:525.2,1051.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.55  176600[0:Res:526.1,1051.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.55  176743[0:SSi:176646.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),w))*.
% 299.87/300.55  176872[0:Res:510.1,1043.1] class_Rings_Olinordered__ring(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  176864[0:Res:525.1,1043.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.55  177059[0:SSi:176806.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w))*.
% 299.87/300.55  62013[0:SpL:12672.1,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.55  48043[0:SpL:12636.1,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v))))*.
% 299.87/300.55  62121[2:Res:51947.1,839.0] || equal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),u)** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.55  76944[0:SpR:412.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,v) SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u,v) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.55  62115[2:Res:51947.1,12635.0] || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))*.
% 299.87/300.55  176443[2:MRR:176170.3,4367.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.55  176395[2:Res:150018.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf49(c_fNot))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.55  176396[10:Res:38833.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.55  77963[10:Res:39951.1,3665.0] || equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.55  161882[2:Res:150015.1,3665.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),hAPP(c_Int_Onat,skf48(c_fNot)))** equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.55  161585[2:Res:64591.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  161645[2:Res:64525.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.55  161725[2:Res:146401.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),w))*.
% 299.87/300.55  177245[0:Res:525.2,1045.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.55  177209[0:Res:526.1,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.55  177359[0:SSi:177255.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),w))*.
% 299.87/300.55  177490[0:Res:515.2,1063.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.55  177440[0:Res:510.1,1063.1] class_Rings_Olinordered__ring(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.55  177432[0:Res:525.1,1063.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.55  177673[0:Res:525.2,1050.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.55  177637[0:Res:526.1,1050.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.55  177775[0:SSi:177683.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.55  177776[0:MRR:177672.4,69697.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.55  177777[0:MRR:177671.4,69697.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.55  177936[0:Res:515.2,1062.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.55  177886[0:Res:510.1,1062.1] class_Rings_Olinordered__ring(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 299.87/300.55  177878[0:Res:525.1,1062.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.55  178107[0:SSi:177820.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.55  178233[0:Res:525.2,1044.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.55  178197[0:Res:526.1,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.55  178343[0:SSi:178243.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.55  178451[0:Res:510.1,1042.1] class_Rings_Olinordered__ring(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 299.87/300.55  178629[0:SSi:178385.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.55  179371[0:SSi:179268.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.55  179372[0:Obv:179266.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),y)).
% 299.87/300.55  179374[0:Obv:179224.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),y)))*.
% 299.87/300.55  179378[0:Rew:402.1,179252.4] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,v)),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.55  179927[0:SpL:1075.0,905.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_OpCons(u)),z),hAPP(c_Nat_OSuc,x1)))* -> equal(v,z).
% 299.87/300.55  179854[0:SpL:1075.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,x),y),hAPP(c_Nat_OSuc,z)))* -> hBOOL(hAPP(hAPP(x,y),c_Orderings_Oord__class_OLeast(u,hAPP(x,y))))*.
% 299.87/300.55  179644[0:SpR:3614.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),skf48(c_fequal(u))),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),skf48(c_fequal(u))),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.55  179642[0:SpR:8586.1,1075.0] ||  -> SkP0(u,v)* equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Int_Onat),u),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Int_Onat),u),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.55  179638[0:SpR:18711.1,1075.0] ||  -> SkP0(u,v)* equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Int_Onat),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Int_Onat),v),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.55  179585[0:SpR:1075.0,874.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.55  179561[0:SpR:1075.0,1925.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.55  180215[0:Rew:179332.0,180165.1] || equal(u,v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),c_Int_Onat__aux(skf48(c_fequal(x)),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.55  180409[0:MRR:180378.2,2803.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(v)),skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)).
% 299.87/300.55  181436[0:SpR:219.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_OSuc),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.55  181234[0:SpR:224.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.87/300.55  181232[0:SpR:225.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(w,c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.56  181229[2:SpR:52124.1,1098.1] class_Groups_Ominus(u) ||  -> hBOOL(v) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Int_Onat),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,v)))**.
% 299.87/300.56  181209[15:SpR:67570.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(t_a,v_cs____)),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(t_a)),hAPP(w,x)))**.
% 299.87/300.56  181202[0:SpR:219.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_OSuc),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.56  181000[0:SpR:224.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  180998[0:SpR:225.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.56  180995[2:SpR:52124.1,1098.1] class_Groups_Ominus(u) ||  -> hBOOL(v) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Int_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  180975[15:SpR:67570.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(t_a,v_cs____)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.56  180963[0:SpR:394.1,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(w,x)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)),hAPP(w,x))**.
% 299.87/300.56  180960[0:SpR:393.1,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,w)),hAPP(x,w)))*.
% 299.87/300.56  182661[0:SpL:3614.0,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(v))),u))*.
% 299.87/300.56  182899[0:Res:1134.2,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.56  183061[0:Res:12714.2,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.56  183053[0:Res:12714.2,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Int_Onat,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.56  183049[4:Res:12714.2,43033.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf55(hAPP(c_Int_Onat,u),v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Int_Onat,u)).
% 299.87/300.56  183121[0:MRR:183044.1,8588.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  183122[0:MRR:183063.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.56  183232[0:SpR:183186.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  183371[0:SpL:1129.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))* -> SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u),v).
% 299.87/300.56  183370[0:SpL:1129.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))* -> SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u),v).
% 299.87/300.56  183665[0:Res:1136.2,426.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.56  183987[0:SpR:414.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),v)))*.
% 299.87/300.56  183962[0:SpR:412.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u))))*.
% 299.87/300.56  184012[0:SSi:183973.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.56  184022[0:SSi:184021.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))*.
% 299.87/300.56  184255[0:SpL:414.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w)).
% 299.87/300.56  184230[0:SpL:412.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.56  184512[0:SpR:418.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.56  184462[0:SpR:418.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.56  184672[0:SpR:184630.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),hAPP(c_Nat_OSuc,v),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  184852[0:SpL:418.0,1893.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))* -> equal(v,w).
% 299.87/300.56  185027[0:SpL:3654.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(x,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,x)))*.
% 299.87/300.56  185012[0:SpL:3632.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(u,x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  185011[0:SpL:3749.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  184986[0:SpL:3654.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(c_Int_Onat__aux(v,w),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  184971[0:SpL:3632.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(w,v),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),x))*.
% 299.87/300.56  184970[0:SpL:3749.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  185056[0:MRR:185026.0,27502.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf52(u,x))))*.
% 299.87/300.56  185346[0:SpL:21749.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v),u)*.
% 299.87/300.56  185345[0:SpL:21749.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v),u)*.
% 299.87/300.56  185335[0:SpR:3622.0,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.56  185393[0:Rew:15222.0,185266.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.56  185520[0:SpL:21752.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)) -> SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w),u)*.
% 299.87/300.56  185519[0:SpL:21752.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)) -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w),u)*.
% 299.87/300.56  185566[0:Rew:15222.0,185440.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.56  185597[0:Obv:185596.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)).
% 299.87/300.56  185707[0:SpR:442.1,1146.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.56  185746[0:SpL:442.1,1147.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),v))*.
% 299.87/300.56  186098[0:Res:243.0,3663.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.56  186003[0:Res:150.0,3663.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.56  186121[18:MRR:185958.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.56  186122[4:MRR:185952.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.56  186127[6:MRR:186056.0,18991.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.56  186513[0:Res:243.0,3661.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.56  186418[0:Res:150.0,3661.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.56  186536[18:MRR:186373.0,111803.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.56  186537[4:MRR:186367.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.56  186542[6:MRR:186471.0,18991.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.56  187451[0:SSi:187450.0,127.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.56  188053[0:Res:3664.0,2481.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v,u)),u)**.
% 299.87/300.56  188027[0:Res:3664.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(x,w,v)),v)** hBOOL(hAPP(x,c_Orderings_Oord__class_OLeast(u,x)))*.
% 299.87/300.56  188018[0:Res:3664.0,286.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_fequal(w),v,u)),u)** equal(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188002[0:Res:3664.0,2538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v,u)),u)**.
% 299.87/300.56  187946[0:Res:3664.0,288.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_fconj,w),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  187938[0:SpL:3664.2,9752.0] || equal(skf68(u,skf64(v),w),w) -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),skf64(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf64(v))).
% 299.87/300.56  187932[0:SpL:3664.2,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf68(v,w,u)))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.56  188626[0:Res:3662.0,2481.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v,u)),u)**.
% 299.87/300.56  188600[0:Res:3662.0,464.1] class_Orderings_Owellorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(x,w,v)),v)** hBOOL(hAPP(x,c_Orderings_Oord__class_OLeast(u,x)))*.
% 299.87/300.56  188591[0:Res:3662.0,286.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_fequal(w),v,u)),u)** equal(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188575[0:Res:3662.0,2538.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v,u)),u)**.
% 299.87/300.56  188519[0:Res:3662.0,288.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_fconj,w),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188511[0:SpL:3662.2,9752.0] || equal(skf67(u,skf64(v),w),w) -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),skf64(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf64(v))).
% 299.87/300.56  188505[0:SpL:3662.2,2538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf67(v,w,u)))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.56  188802[0:SSi:188793.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(c_Polynomial_Oorder(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Polynomial_Omonom(tc_Int_Oint,u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Omonom(tc_Int_Oint,u,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))).
% 299.87/300.56  1179[0:Inp] class_Groups_Oordered__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.56  1178[0:Inp] class_Groups_Oordered__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.56  1167[0:Inp] class_Groups_Oordered__cancel__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.56  1166[0:Inp] class_Groups_Oordered__cancel__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.56  1176[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.56  1174[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.56  1164[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.56  1162[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.56  1177[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)).
% 299.87/300.56  1175[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x)).
% 299.87/300.56  1165[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.56  1163[0:Inp] class_Groups_Oordered__ab__semigroup__add__imp__le(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x)).
% 299.87/300.56  42872[0:Rew:691.1,42858.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v))))))*.
% 299.87/300.56  50533[0:Res:779.2,464.1] class_Orderings_Oorder(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> equal(w,x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.56  56495[0:Obv:56462.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* equal(c_Int_Oring__1__class_Oof__int(u,w),c_Int_Oring__1__class_Oof__int(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v)).
% 299.87/300.56  66680[0:SpL:947.1,464.1] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,w,x)),y))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,w),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,w))))*.
% 299.87/300.56  66704[0:Rew:947.1,66703.1,947.1,66703.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,c_Polynomial_Opcompose(u,v,w),x)),y),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,c_Polynomial_Opcompose(u,w,x))),y))**.
% 299.87/300.56  49718[0:SpR:742.0,816.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,z)),z))*.
% 299.87/300.56  43837[0:SpR:742.0,12933.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Power_Opower__class_Opower(tc_Int_Oint)),x),skf48(c_fequal(y))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),hAPP(x,skf48(c_fequal(y)))))))*.
% 299.87/300.56  1157[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,x,w)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),w))**.
% 299.87/300.56  1186[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,x,w)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),w))**.
% 299.87/300.56  49765[0:Obv:49682.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)))**.
% 299.87/300.56  43982[0:SpR:551.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_COMBC(y,z,x1,x2),x3)),x4),hAPP(hAPP(x,x4),hAPP(hAPP(x2,x4),x3)))*.
% 299.87/300.56  44114[0:SpR:551.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_COMBC(x,y,z,x1),x2)),x3),x4),hAPP(hAPP(hAPP(x1,x4),x2),hAPP(x3,x4)))*.
% 299.87/300.56  1690[0:Rew:1190.1,1192.1,1190.1,1192.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.56  1691[0:Rew:1194.1,1196.1,1194.1,1196.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.56  1197[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)))**.
% 299.87/300.56  1189[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)))*.
% 299.87/300.56  1193[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.87/300.56  1184[0:Inp] class_Groups_Oab__semigroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))**.
% 299.87/300.56  1190[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))**.
% 299.87/300.56  1185[0:Inp] class_Groups_Oab__semigroup__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))**.
% 299.87/300.56  1194[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))**.
% 299.87/300.56  1161[0:Inp] class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  49289[0:SpL:813.1,464.1] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  48991[0:SpL:815.1,464.1] class_Rings_Ocomm__ring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  1198[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Polynomial_Osynthetic__div(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),w),x),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Polynomial_Opoly(u,w),x)),c_Polynomial_Osynthetic__div(u,w,x)))*.
% 299.87/300.56  73708[0:SSi:73698.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w))*.
% 299.87/300.56  66115[0:Obv:66082.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x)))**.
% 299.87/300.56  58459[0:Res:526.1,870.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),c_Groups_Oone__class_Oone(tc_fun(u,v)))))*.
% 299.87/300.56  76438[0:SpR:444.1,1004.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(u),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Polynomial_Opoly(u),v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(u),v),w))**.
% 299.87/300.56  76443[0:SpR:443.1,1004.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(u),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Polynomial_Opoly(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),w),hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(u),v),w))**.
% 299.87/300.56  76498[0:Rew:1004.1,76497.1,947.1,76497.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Polynomial_Opcompose(u,v,w),x)),y),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,x))),y))**.
% 299.87/300.56  76467[0:SpL:1004.1,464.1] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,x)),y))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,w),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,w))))*.
% 299.87/300.56  54579[0:Res:893.2,51176.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf49(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.56  64129[0:Res:932.2,464.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.56  75184[0:Res:891.2,989.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.56  75193[0:Res:893.2,989.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  73700[0:Res:988.2,894.1] class_Groups_Oordered__ab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  73691[0:Res:988.2,892.1] class_Groups_Oordered__ab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  75673[0:Res:525.1,976.1] class_Orderings_Olinorder(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(x,y)),hAPP(w,y)))*.
% 299.87/300.56  75690[0:Res:515.2,976.1] class_Orderings_Olinorder(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(x,y)),hAPP(w,y)))*.
% 299.87/300.56  50442[0:Res:776.2,464.1] class_Orderings_Olinorder(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> equal(w,x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,w))))*.
% 299.87/300.56  54966[0:Res:864.2,51176.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf49(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.56  54973[0:Res:864.2,656.2] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(u,v)))* hBOOL(hAPP(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(u,v))))* -> .
% 299.87/300.56  73522[0:Res:952.2,648.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> .
% 299.87/300.56  73521[0:Res:952.2,644.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> .
% 299.87/300.56  73520[0:Res:952.2,647.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> .
% 299.87/300.56  73801[0:Res:972.2,648.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  73800[0:Res:972.2,644.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  73799[0:Res:972.2,647.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  73372[0:Res:954.2,655.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> .
% 299.87/300.56  73371[0:Res:954.2,653.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> .
% 299.87/300.56  73690[0:Res:988.2,655.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  73689[0:Res:988.2,653.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  64261[0:Res:918.2,464.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.56  75291[0:Res:866.2,973.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.56  73798[0:Res:972.2,867.1] class_Groups_Oordered__ab__group__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  73810[0:Res:972.2,865.1] class_Groups_Oordered__ab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  75300[0:Res:864.2,973.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  42388[0:Rew:687.1,42358.3] class_Rings_Ocomm__ring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.56  43897[0:SpR:371.1,742.0] class_Lattices_Oboolean__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),z))*.
% 299.87/300.56  44029[0:SpR:371.1,742.0] class_Lattices_Oboolean__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(z,hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 299.87/300.56  42746[0:SpR:371.1,734.3] class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,v).
% 299.87/300.56  55445[0:SpL:371.1,867.1] class_Lattices_Oboolean__algebra(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  55312[0:SpR:371.1,866.2] class_Lattices_Oboolean__algebra(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.56  73601[0:Res:991.2,653.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  73602[0:Res:991.2,655.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> .
% 299.87/300.56  55096[0:SpL:371.1,865.1] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  54937[0:SpR:371.1,864.2] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  55362[0:SpL:371.1,892.1] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  55227[0:SpR:371.1,891.2] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.56  55022[0:SpL:371.1,894.1] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  54562[0:SpR:371.1,893.2] class_Lattices_Oboolean__algebra(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  48712[0:SpR:742.0,747.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Oplus__class_Oplus(u)),z),v)),hAPP(z,v))**.
% 299.87/300.56  43896[0:SpR:356.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),z))*.
% 299.87/300.56  44028[0:SpR:356.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(z,hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 299.87/300.56  49364[0:SpL:814.1,464.1] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))))*.
% 299.87/300.56  76490[0:Rew:1004.1,76458.2] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))),x),hAPP(c_Polynomial_Opoly(u,v),x))**.
% 299.87/300.56  76491[0:Rew:1004.1,76457.2] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),w)),x),hAPP(c_Polynomial_Opoly(u,v),x))**.
% 299.87/300.56  58407[0:SpL:746.1,895.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),x)** -> equal(v,w).
% 299.87/300.56  79125[0:SpR:1074.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),y)))*.
% 299.87/300.56  78659[0:Rew:78658.0,49767.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u)),v))**.
% 299.87/300.56  79791[0:SSi:79734.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))))*.
% 299.87/300.56  79799[0:SSi:79697.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))),w))*.
% 299.87/300.56  79426[0:SpR:601.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))*.
% 299.87/300.56  79463[0:SpR:601.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.56  49766[0:SSi:49666.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),w))**.
% 299.87/300.56  49535[0:SpR:590.1,812.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Int_Oring__1__class_Oof__int(u,w)))**.
% 299.87/300.56  49286[0:SpR:590.1,813.1] class_Rings_Oring__1(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Int_Oring__1__class_Oof__int(u,w)))**.
% 299.87/300.56  48988[0:SpR:590.1,815.1] class_Rings_Oring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Int_Oring__1__class_Oof__int(u,w)))**.
% 299.87/300.56  49359[0:SpR:590.1,814.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Int_Oring__1__class_Oof__int(u,w)))**.
% 299.87/300.56  48725[0:SpR:590.1,747.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),w)),w)**.
% 299.87/300.56  48832[0:SpR:590.1,746.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w)),w)**.
% 299.87/300.56  57330[0:SpL:878.1,384.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.56  42992[0:Obv:42968.0] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_OAbs__poly(u,c_Nat_Onat_Onat__case(u,v,c_Nat_Onat_Onat__case(u,w,c_Polynomial_Ocoeff(u,x)))),hAPP(hAPP(c_Polynomial_OpCons(u),v),hAPP(hAPP(c_Polynomial_OpCons(u),w),x)))*.
% 299.87/300.56  60416[0:SpL:617.2,12538.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,skf48(w))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  59547[0:SpL:617.2,12183.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,skf60(w))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  39290[0:AED:109.0,39269.3] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)))))*.
% 299.87/300.56  73163[0:SpL:1661.1,334.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)) -> SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)*.
% 299.87/300.56  71378[0:SpL:997.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x).
% 299.87/300.56  71107[0:SpL:1660.1,334.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x).
% 299.87/300.56  70121[0:SpL:1686.1,334.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x).
% 299.87/300.56  72290[0:SpL:956.1,334.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x)) -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)*.
% 299.87/300.56  72114[0:SpL:957.1,334.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)*.
% 299.87/300.56  72903[0:SpL:999.1,334.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x).
% 299.87/300.56  72627[0:SpL:1659.1,334.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x).
% 299.87/300.56  72462[0:SpL:955.1,334.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),x)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)*.
% 299.87/300.56  70568[0:SpL:1685.1,334.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v,x).
% 299.87/300.56  76468[0:SpL:1004.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),y)) -> SkP2(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),y)*.
% 299.87/300.56  76290[0:SpL:994.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),y))* -> SkP2(hAPP(c_Polynomial_Osmult(u),v),c_Polynomial_Omonom(u,w,x),y).
% 299.87/300.56  16270[0:SpL:506.1,12183.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))))))*.
% 299.87/300.56  17333[0:SpL:506.1,12538.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))))))*.
% 299.87/300.56  15620[0:SpL:506.1,384.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.56  44098[0:SpR:506.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),y),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,y)))**.
% 299.87/300.56  43966[0:SpR:506.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  55095[0:SpL:356.1,865.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  54936[0:SpR:356.1,864.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  55021[0:SpL:356.1,894.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  54561[0:SpR:356.1,893.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  55444[0:SpL:356.1,867.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  55311[0:SpR:356.1,866.2] class_Groups_Ogroup__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.56  55361[0:SpL:356.1,892.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  55226[0:SpR:356.1,891.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.56  16269[0:SpL:505.1,12183.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))))))*.
% 299.87/300.56  17332[0:SpL:505.1,12538.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))))))*.
% 299.87/300.56  44082[0:SpR:550.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),y),z),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),z),hAPP(y,z)))*.
% 299.87/300.56  43950[0:SpR:550.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),z),hAPP(hAPP(y,z),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)))*.
% 299.87/300.56  44097[0:SpR:505.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),y),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,y)))**.
% 299.87/300.56  43965[0:SpR:505.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  42745[0:SpR:356.1,734.3] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,v).
% 299.87/300.56  57679[0:SpL:902.2,51176.0] class_Rings_Oidom(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.56  60415[0:SpL:616.2,12538.0] class_Groups_Ozero(u) || equal(v,skf48(w))* hBOOL(x) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  59546[0:SpL:616.2,12183.0] class_Groups_Ozero(u) || equal(v,skf60(w))* hBOOL(x) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  60470[0:SpL:752.2,12538.0] class_Groups_Ogroup__add(u) || equal(skf48(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  59600[0:SpL:752.2,12183.0] class_Groups_Ogroup__add(u) || equal(skf60(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  60468[0:SpL:748.2,12538.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(w)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  59598[0:SpL:748.2,12183.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(w)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  29252[0:SpL:597.2,12641.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Int_Onat,w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))*.
% 299.87/300.56  29253[0:SpL:598.2,12641.0] class_Groups_Oab__group__add(u) || equal(v,hAPP(c_Int_Onat,w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))*.
% 299.87/300.56  29287[0:SpL:558.2,12641.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u))* hBOOL(w) equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))*.
% 299.87/300.56  49981[0:SpR:748.2,742.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w)),w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(u)),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  49839[0:SpR:752.2,742.0] class_Groups_Ogroup__add(u) || equal(hAPP(v,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(u)),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  43877[0:SpR:503.2,742.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Groups_Ouminus__class_Ouminus(u)),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  44009[0:SpR:503.2,742.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ouminus__class_Ouminus(u)),z),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,v)))**.
% 299.87/300.56  69868[0:SpR:5744.1,985.1] class_Groups_Oab__group__add(u) || equal(v,c_Polynomial_Ocoeff(u,w)) -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBB(u,u,tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(u)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))*.
% 299.87/300.56  69866[0:SpR:5744.1,985.1] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ouminus__class_Ouminus(u)) -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBB(u,u,tc_Nat_Onat),v),c_Polynomial_Ocoeff(u,w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))**.
% 299.87/300.56  76416[0:SpR:1004.1,5744.1] class_Rings_Ocomm__semiring__0(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,y,w)),x),hAPP(c_Polynomial_Opoly(u,y),v))*.
% 299.87/300.56  76455[0:SpR:613.2,1004.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Ocomm__semiring__0(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,v)),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  76299[0:Rew:994.1,76285.2] class_Rings_Ocomm__semiring__0(u) || equal(v,w) -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),y),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x),y))*.
% 299.87/300.56  76271[0:SpR:994.1,5744.1] class_Rings_Ocomm__semiring__0(u) || equal(v,c_Polynomial_Omonom(u,w,x)) -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w),x),hAPP(hAPP(c_Polynomial_Osmult(u),y),v))*.
% 299.87/300.56  66742[0:SpL:5744.1,1005.0] || equal(u,v_cs____) equal(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),u)),v_y____),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),u)),v_x____))** -> .
% 299.87/300.56  66740[0:SpL:5744.1,1005.0] || equal(u,v_c____) equal(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),u),v_cs____)),v_y____),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),u),v_cs____)),v_x____))** -> .
% 299.87/300.56  66746[0:SpL:5744.1,1005.0] || equal(u,v_y____) equal(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),u),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____))* -> .
% 299.87/300.56  66117[0:Rew:66116.2,66072.3] class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w),hAPP(c_Polynomial_Ocoeff(u,v),w))*.
% 299.87/300.56  43338[0:Obv:43301.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Polynomial_OpCons(u),w),x)) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),y),hAPP(c_Nat_Onat_Onat__case(u,w,c_Polynomial_Ocoeff(u,x)),y))*.
% 299.87/300.56  62053[0:Rew:62042.1,62006.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),u)*.
% 299.87/300.56  72097[0:SpR:5744.1,957.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x)))*.
% 299.87/300.56  72028[0:SpR:957.1,5744.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,x)),v))*.
% 299.87/300.56  72276[0:SpR:5744.1,956.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))*.
% 299.87/300.56  72223[0:SpR:956.1,5744.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,x)),v))*.
% 299.87/300.56  72450[0:SpR:5744.1,955.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),x)))*.
% 299.87/300.56  72396[0:SpR:955.1,5744.1] class_Rings_Oring__1(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,w)) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,x)),v))*.
% 299.87/300.56  75916[0:SpL:5744.1,969.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))*.
% 299.87/300.56  75271[0:SpL:5744.1,973.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.56  74742[0:SpL:5744.1,951.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.56  73778[0:SpR:5744.1,972.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  73481[0:SpR:5744.1,952.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  74485[0:SpL:5744.1,970.1] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  74466[0:SpL:5744.1,970.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  75288[0:SpL:5744.1,973.1] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))*.
% 299.87/300.56  74094[0:SpL:5744.1,971.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.56  73795[0:SpR:5744.1,972.2] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))*.
% 299.87/300.56  75253[0:SpL:5744.1,973.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))*.
% 299.87/300.56  73760[0:SpR:5744.1,972.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  74077[0:SpL:5744.1,971.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w))*.
% 299.87/300.56  74778[0:SpL:5744.1,951.1] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.56  73517[0:SpR:5744.1,952.2] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),v))*.
% 299.87/300.56  74736[0:SpL:5744.1,951.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))*.
% 299.87/300.56  73475[0:SpR:5744.1,952.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  64219[0:SpR:448.2,918.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  63698[0:SpR:448.2,916.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  75591[0:SpL:5744.1,961.1] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))* c_Polynomial_Opos__poly(u,x).
% 299.87/300.56  75593[0:SpL:5744.1,961.1] class_Rings_Olinordered__idom(u) || equal(v,w)* c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) c_Polynomial_Opos__poly(u,w)*.
% 299.87/300.56  29336[0:Res:585.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> equal(u,hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.56  75668[0:SpL:5744.1,976.1] class_Orderings_Oord(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(y,z)),hAPP(w,z)))*.
% 299.87/300.56  75154[0:SpL:5744.1,989.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.56  74987[0:SpL:5744.1,992.1] class_Lattices_Oboolean__algebra(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.56  74605[0:SpL:5744.1,953.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.56  73672[0:SpR:5744.1,988.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  73584[0:SpR:5744.1,991.2] class_Lattices_Oboolean__algebra(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  73332[0:SpR:5744.1,954.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  74299[0:SpL:5744.1,986.1] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  74282[0:SpL:5744.1,986.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))*.
% 299.87/300.56  75169[0:SpL:5744.1,989.1] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))*.
% 299.87/300.56  75002[0:SpL:5744.1,992.1] class_Lattices_Oboolean__algebra(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))*.
% 299.87/300.56  73904[0:SpL:5744.1,987.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.56  73687[0:SpR:5744.1,988.2] class_Groups_Oordered__ab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))*.
% 299.87/300.56  73599[0:SpR:5744.1,991.2] class_Lattices_Oboolean__algebra(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),v))*.
% 299.87/300.56  75136[0:SpL:5744.1,989.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))*.
% 299.87/300.56  74969[0:SpL:5744.1,992.1] class_Lattices_Oboolean__algebra(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))*.
% 299.87/300.56  73654[0:SpR:5744.1,988.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  73566[0:SpR:5744.1,991.2] class_Lattices_Oboolean__algebra(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  73889[0:SpL:5744.1,987.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w))*.
% 299.87/300.56  74639[0:SpL:5744.1,953.1] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)).
% 299.87/300.56  73366[0:SpR:5744.1,954.2] class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),v))*.
% 299.87/300.56  74599[0:SpL:5744.1,953.1] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))*.
% 299.87/300.56  73326[0:SpR:5744.1,954.2] class_Groups_Oordered__ab__group__add(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  64092[0:SpR:448.2,932.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  63636[0:SpR:448.2,934.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  58269[0:SpL:748.2,897.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(x,w)*.
% 299.87/300.56  58135[0:SpL:748.2,896.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x),c_Groups_Ozero__class_Ozero(u))** -> equal(x,w)*.
% 299.87/300.56  58401[0:SpL:752.2,895.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v),c_Groups_Ozero__class_Ozero(u))** -> equal(x,w)*.
% 299.87/300.56  29258[0:SpL:594.1,12641.0] class_Groups_Ogroup__add(u) || hBOOL(v) equal(w,skf48(c_fequal(x))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,w))),x))*.
% 299.87/300.56  29285[0:SpL:595.1,12641.0] class_Groups_Ogroup__add(u) || hBOOL(v) equal(w,skf48(c_fequal(x))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,w))),x))*.
% 299.87/300.56  72818[0:SpR:999.1,5744.1] class_RealVector_Oreal__normed__algebra(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))*.
% 299.87/300.56  72544[0:SpR:1659.1,5744.1] class_Rings_Oring(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))*.
% 299.87/300.56  71433[0:Rew:997.1,71346.2] class_RealVector_Oreal__normed__algebra(u) || equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.56  71155[0:Rew:1660.1,71075.2] class_Rings_Oring(u) || equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.56  71359[0:SpR:5744.1,997.1] class_RealVector_Oreal__normed__algebra(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.56  71088[0:SpR:5744.1,1660.1] class_Rings_Oring(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.56  70154[0:Rew:1686.1,70093.2] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.56  70620[0:Rew:1685.1,70501.2] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)))*.
% 299.87/300.56  70106[0:SpR:5744.1,1686.1] class_Groups_Oab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.56  70553[0:SpR:5744.1,1685.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.56  50270[0:SpL:742.0,749.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(y,z)),z).
% 299.87/300.56  50155[0:SpL:742.0,751.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(y,z),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)).
% 299.87/300.56  58278[0:SpL:812.1,897.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))* -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.56  58279[0:SpL:813.1,897.1] class_Groups_Oab__group__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))* -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.56  58280[0:SpL:815.1,897.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))* -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.56  58144[0:SpL:812.1,896.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))* -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.56  58145[0:SpL:813.1,896.1] class_Groups_Oab__group__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))* -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.56  58146[0:SpL:815.1,896.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x))* -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.56  49732[0:SpL:816.1,561.1] class_Groups_Oab__group__add(u) class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w))*.
% 299.87/300.56  49733[0:SpL:816.1,570.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))* -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w))*.
% 299.87/300.56  73055[0:SpR:1661.1,5744.1] class_Rings_Oring(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.56  39861[0:Res:694.1,12641.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w))*.
% 299.87/300.56  58406[0:SpL:747.1,895.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),x)** -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.56  1187[0:Inp] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> equal(v,w) equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.56  73164[0:SpL:1661.1,333.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)) -> SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)*.
% 299.87/300.56  71379[0:SpL:997.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x).
% 299.87/300.56  71108[0:SpL:1660.1,333.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x).
% 299.87/300.56  70122[0:SpL:1686.1,333.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x).
% 299.87/300.56  72291[0:SpL:956.1,333.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x)) -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)*.
% 299.87/300.56  72115[0:SpL:957.1,333.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)*.
% 299.87/300.56  72904[0:SpL:999.1,333.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x).
% 299.87/300.56  72628[0:SpL:1659.1,333.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x).
% 299.87/300.56  72463[0:SpL:955.1,333.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),x)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)*.
% 299.87/300.56  70569[0:SpL:1685.1,333.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v,x).
% 299.87/300.56  76469[0:SpL:1004.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),y)) -> SkP1(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),y)*.
% 299.87/300.56  76291[0:SpL:994.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),y))* -> SkP1(hAPP(c_Polynomial_Osmult(u),v),c_Polynomial_Omonom(u,w,x),y).
% 299.87/300.56  68010[0:SpL:2135.1,974.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),x))*.
% 299.87/300.56  68012[0:SpL:5744.1,974.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),x))*.
% 299.87/300.56  68019[0:Res:3722.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),x))*.
% 299.87/300.56  76658[0:SpR:5744.1,963.2] || equal(u,v)* SkP2(w,v,x)* SkP1(w,v,x) -> hBOOL(hAPP(hAPP(w,u),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))*.
% 299.87/300.56  68082[0:SSi:68051.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))),w))*.
% 299.87/300.56  19516[0:Res:1630.1,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),c_Orderings_Oord__class_OLeast(u,c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)))))*.
% 299.87/300.56  76676[0:SpR:3614.0,963.2] || SkP2(c_Int_Onat,skf48(c_fequal(u)),v) SkP1(c_Int_Onat,skf48(c_fequal(u)),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(c_fequal(u))),v))*.
% 299.87/300.56  76868[0:SpR:5744.1,963.2] || equal(u,v)* SkP2(w,x,v)* SkP1(w,x,v) -> hBOOL(hAPP(hAPP(w,x),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.87/300.56  76895[0:SpR:394.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Ominus__class_Ominus(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  47983[0:Rew:3753.0,47829.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(skf52(u,v))),hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(skf48(c_fequal(v)),w))**.
% 299.87/300.56  61813[0:Rew:276.0,61750.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf52(u,v)),w)).
% 299.87/300.56  61269[0:Rew:18124.0,61179.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf52(u,v))),v))*.
% 299.87/300.56  53541[0:MRR:53524.1,27420.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))))* equal(hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u).
% 299.87/300.56  29332[0:Res:579.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> equal(u,hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.56  53539[0:Rew:15222.0,53493.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) equal(u,c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))).
% 299.87/300.56  68028[0:Res:651.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),w))*.
% 299.87/300.56  52376[0:Rew:15222.0,52320.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v))),w))* equal(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w).
% 299.87/300.56  21727[0:Rew:21719.1,21242.2] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,skf44(v,w)))**.
% 299.87/300.56  61753[0:SpL:3690.1,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),w)).
% 299.87/300.56  62397[0:SpR:21745.1,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf44(u,v))),w))*.
% 299.87/300.56  61222[0:SpR:3690.1,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))))*.
% 299.87/300.56  61182[0:SpR:3690.1,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),v))*.
% 299.87/300.56  61373[0:SpR:3690.1,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))))*.
% 299.87/300.56  61333[0:SpR:3690.1,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),v))*.
% 299.87/300.56  59792[0:SpR:3690.1,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf44(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))*.
% 299.87/300.56  21753[0:Rew:21719.1,21228.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf44(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),v))*.
% 299.87/300.56  59369[0:SpR:3690.1,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf44(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))*.
% 299.87/300.56  68725[0:Rew:276.0,68662.2,276.0,68662.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),w)).
% 299.87/300.56  61522[0:SpL:3690.1,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),w)).
% 299.87/300.56  42324[0:SpR:687.1,615.2] class_Rings_Ocomm__ring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.56  73138[0:SpR:5744.1,1661.1] class_Rings_Oring(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))*.
% 299.87/300.56  49576[0:Rew:1685.1,49544.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  49316[0:Rew:1686.1,49295.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  48997[0:SpL:815.1,612.1] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  1173[0:Inp] class_Rings_Ozero__neq__one(u) class_Rings_Ono__zero__divisors(u) class_Rings_Omult__zero(u) class_Power_Opower(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  48580[0:SpL:742.0,743.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_OpCons(u)),y),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.56  48452[0:SpR:744.2,742.0] class_Rings_Oidom(u) || equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_Osmult(u)),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.56  75411[0:SpL:5744.1,1003.1] class_Rings_Ocomm__semiring__0(u) || equal(v,w) equal(hAPP(hAPP(c_Polynomial_Osmult(u),x),v),hAPP(hAPP(c_Polynomial_OpCons(u),y),w))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.56  75421[0:SpL:5744.1,1003.1] class_Rings_Ocomm__semiring__0(u) || equal(v,w) equal(hAPP(hAPP(c_Polynomial_Osmult(u),x),w),hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.56  1188[0:Inp] class_Groups_Ozero(u) || equal(hAPP(hAPP(hAPP(v,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w),w)** -> equal(c_Polynomial_Opoly__rec(x,u,w,v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)**.
% 299.87/300.56  72846[0:SpR:999.1,609.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  72572[0:SpR:1659.1,609.2] class_Rings_Oring(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  71297[0:SpR:997.1,608.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  71027[0:SpR:1660.1,608.2] class_Rings_Oring(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  66280[0:SpL:687.1,943.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  66213[0:SpL:687.1,942.1] class_Rings_Ocomm__ring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  49577[0:Rew:1685.1,49515.3] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  49318[0:Rew:1686.1,49267.3] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  48970[0:SpR:815.1,613.2] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  58399[0:SpL:748.2,895.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w),c_Groups_Ozero__class_Ozero(u))** -> equal(x,v)*.
% 299.87/300.56  58271[0:SpL:752.2,897.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__semigroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),c_Groups_Ozero__class_Ozero(u))** -> equal(x,v)*.
% 299.87/300.56  58137[0:SpL:752.2,896.1] class_Groups_Ogroup__add(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),c_Groups_Ozero__class_Ozero(u))** -> equal(x,v)*.
% 299.87/300.56  12746[0:Rew:12519.0,4398.1] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),skf48(c_fequal(v)))),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),skf48(c_fequal(v)))))))*.
% 299.87/300.56  68847[0:SpR:5744.1,3724.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.56  60733[0:SpR:3690.1,3762.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.56  68859[0:SpL:3724.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x).
% 299.87/300.56  68860[0:SpL:3724.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x).
% 299.87/300.56  40685[0:Res:740.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),w))*.
% 299.87/300.56  59260[0:Res:740.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.56  69068[0:SpR:5744.1,3729.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))*.
% 299.87/300.56  68517[0:SpL:5744.1,3696.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v))*.
% 299.87/300.56  68649[0:SpR:5744.1,3720.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),w))*.
% 299.87/300.56  69349[0:SpR:5744.1,3738.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))*.
% 299.87/300.56  68680[0:SpR:5744.1,3720.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),u))*.
% 299.87/300.56  68301[0:SpL:5744.1,3680.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.56  68550[0:SpL:2135.1,3696.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),x)),w))*.
% 299.87/300.56  69656[0:Res:428.2,3665.0] class_Orderings_Oorder(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),y))*.
% 299.87/300.56  69659[0:Res:1639.2,3665.0] class_Orderings_Olinorder(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),y))*.
% 299.87/300.56  69779[0:Rew:602.0,69608.2] || hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(u,hAPP(v,y)))*.
% 299.87/300.56  21754[0:Rew:21719.1,21229.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),u)),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),skf44(u,v)))**.
% 299.87/300.56  69102[0:SpR:2135.1,3729.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)))*.
% 299.87/300.56  69156[0:Rew:47909.0,69109.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w))).
% 299.87/300.56  69410[0:Rew:47909.0,69387.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w))).
% 299.87/300.56  69757[0:Rew:3753.0,69487.1] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(u,x))*.
% 299.87/300.56  69775[0:Rew:551.0,69598.2] || hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(hAPP(u,y),x))*.
% 299.87/300.56  68533[0:SpL:682.0,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.56  69518[0:SpL:5744.1,3665.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(x,u))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(x,y))*.
% 299.87/300.56  69383[0:SpR:5744.1,3738.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))*.
% 299.87/300.56  69104[0:SpR:5744.1,3729.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))*.
% 299.87/300.56  68552[0:SpL:5744.1,3696.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),w)),v))*.
% 299.87/300.56  69073[0:SpR:5744.1,3729.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.56  68522[0:SpL:5744.1,3696.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))*.
% 299.87/300.56  69354[0:SpR:5744.1,3738.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.56  69476[0:SpL:5744.1,3665.0] || equal(u,v)* hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* equal(x,c_Int_Onat__aux(skf48(c_fequal(v)),y))* -> hBOOL(hAPP(w,y))*.
% 299.87/300.56  60693[0:SpR:3690.1,3762.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))**.
% 299.87/300.56  68654[0:SpR:5744.1,3720.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),x))*.
% 299.87/300.56  68275[0:SpL:5744.1,3680.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.56  62415[0:SpR:2526.0,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u),hAPP(c_Nat_OSuc,skf44(u,hAPP(c_Int_Onat,v))))**.
% 299.87/300.56  80459[0:Res:1016.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(w,c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))*.
% 299.87/300.56  69084[0:SpR:682.0,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))).
% 299.87/300.56  68357[0:Rew:47909.0,68311.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(x)),v))))*.
% 299.87/300.56  51055[0:Res:740.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.56  42268[0:Rew:3753.0,42199.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(c_Nat_OSuc,u))**.
% 299.87/300.56  47834[0:SpR:3709.1,3757.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w)),c_Int_Onat__aux(skf48(c_fequal(u)),w))**.
% 299.87/300.56  80329[0:Res:1017.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.56  68724[0:Rew:3632.0,68703.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w)))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.56  68270[0:SpL:5744.1,3680.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.56  1172[0:Inp] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))**.
% 299.87/300.56  1182[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))**.
% 299.87/300.56  78811[0:SpR:1059.0,322.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))))*.
% 299.87/300.56  46523[0:SpR:742.0,3703.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),y),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(y,u))))**.
% 299.87/300.56  46846[0:SpL:3690.1,3713.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf44(u,v)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf44(u,v)),u))*.
% 299.87/300.56  46944[0:SpR:3690.1,3714.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf44(u,v)),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf44(u,v)),v))*.
% 299.87/300.56  3770[0:Rew:3621.0,3656.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))**.
% 299.87/300.56  3771[0:Rew:3621.0,3657.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))**.
% 299.87/300.56  10823[0:SpL:448.2,441.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf35(c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf34(c_Groups_Ouminus__class_Ouminus(u))),skf35(c_Groups_Ouminus__class_Ouminus(u)))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Groups_Ouminus__class_Ouminus(u))*.
% 299.87/300.56  30479[0:SpL:608.2,492.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(w,skf33(w,hAPP(c_Groups_Otimes__class_Otimes(u),v))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),v),w).
% 299.87/300.56  30481[0:SpL:608.2,492.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(w,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Otimes__class_Otimes(u),v)).
% 299.87/300.56  54540[0:SpL:503.2,903.1] class_Groups_Ogroup__add(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.56  69471[0:SpL:5744.1,3665.0] || equal(u,v)* hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(w,y))*.
% 299.87/300.56  71886[0:SpR:959.1,5744.1] class_Rings_Osemiring__1(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,x)),v))*.
% 299.87/300.56  71953[0:SpL:959.1,333.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x)*.
% 299.87/300.56  71952[0:SpL:959.1,334.0] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x)*.
% 299.87/300.56  43591[0:SpR:379.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Nat_Onat_Onat__case(v,w,x),hAPP(c_Nat_OSuc,y),hAPP(c_Nat_OSuc,z)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Nat_Onat_Onat__case(v,w,x),y,hAPP(x,z)))*.
% 299.87/300.56  71935[0:SpR:5744.1,959.1] class_Rings_Osemiring__1(u) || equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  43657[0:SpR:393.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  43619[0:SpR:394.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),x,w))*.
% 299.87/300.56  43616[0:SpR:350.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,w))*.
% 299.87/300.56  43617[0:SpR:352.1,739.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,w))*.
% 299.87/300.56  43618[0:SpR:353.1,739.1] class_Groups_Omonoid__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,w))*.
% 299.87/300.56  43613[0:SpR:364.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,w))*.
% 299.87/300.56  43614[0:SpR:361.1,739.1] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,w))*.
% 299.87/300.56  43615[0:SpR:362.1,739.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,w))*.
% 299.87/300.56  43611[0:SpR:369.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),x,w))*.
% 299.87/300.56  43612[0:SpR:372.1,739.1] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),x,w))*.
% 299.87/300.56  43573[0:SpR:448.2,739.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),x,w))**.
% 299.87/300.56  50735[0:MRR:50728.1,1936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))*.
% 299.87/300.56  50722[0:Res:1925.1,21720.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))**.
% 299.87/300.56  67356[0:SpL:5744.1,1900.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))*.
% 299.87/300.56  77084[0:MRR:77014.3,426.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))*.
% 299.87/300.56  67358[0:SpL:5744.1,1900.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.56  76891[0:SpR:362.1,963.2] class_Groups_Ocomm__monoid__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))* SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  76938[0:SpR:360.1,963.2] class_Groups_Ocomm__monoid__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)* SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.56  76888[0:SpR:372.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.56  76890[0:SpR:361.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))* SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  76937[0:SpR:359.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)* SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.56  76894[0:SpR:353.1,963.2] class_Groups_Omonoid__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  76927[0:SpR:355.1,963.2] class_Groups_Omonoid__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  76887[0:SpR:369.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat))* SkP1(c_Power_Opower__class_Opower(u),v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.56  76889[0:SpR:364.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u))* SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Oone__class_Oone(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  76892[0:SpR:350.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  76925[0:SpR:351.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  76936[0:SpR:363.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v)* SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.56  76939[0:SpR:365.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u),v)* SkP1(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.56  22896[0:SpL:556.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),x))))*.
% 299.87/300.56  23164[0:SpL:555.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),x))))*.
% 299.87/300.56  29282[0:SpL:555.1,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),w))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))*.
% 299.87/300.56  29288[0:SpL:556.1,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),w))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))*.
% 299.87/300.56  1183[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))*.
% 299.87/300.56  76893[0:SpR:352.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Oplus__class_Oplus(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  76926[0:SpR:354.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  62416[0:SpR:9385.1,21745.1] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),hAPP(c_Nat_OSuc,skf44(v,skf50(u)))).
% 299.87/300.56  29787[0:SpL:615.2,12538.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(skf48(v),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)))))*.
% 299.87/300.56  29782[0:SpL:615.2,12183.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(skf60(v),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)))))*.
% 299.87/300.56  29942[0:SpL:613.2,12183.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)))))*.
% 299.87/300.56  29947[0:SpL:613.2,12538.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)))))*.
% 299.87/300.56  60862[0:SpL:616.2,16218.0] class_Groups_Ozero(u) || equal(v,skf47(w))* hBOOL(x) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  60863[0:SpL:617.2,16218.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,skf47(w))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  60914[0:SpL:748.2,16218.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(w)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  21045[0:SpL:506.1,16218.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))))))*.
% 299.87/300.56  21044[0:SpL:505.1,16218.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))))))*.
% 299.87/300.56  29788[0:SpL:615.2,16218.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(skf47(v),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)))))*.
% 299.87/300.56  29948[0:SpL:613.2,16218.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)))))*.
% 299.87/300.56  60916[0:SpL:752.2,16218.0] class_Groups_Ogroup__add(u) || equal(skf47(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  66445[8:SpL:49088.0,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))).
% 299.87/300.56  76677[8:SpR:49081.0,963.2] || SkP2(c_Int_Onat,skf47(c_Int_Onat),u) SkP1(c_Int_Onat,skf47(c_Int_Onat),u) -> hBOOL(hAPP(skf62(c_Int_Onat,skf47(c_Int_Onat)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf47(c_Int_Onat)),u)).
% 299.87/300.56  60173[0:SpL:616.2,12380.0] class_Groups_Ozero(u) || equal(v,skf57(w))* hBOOL(x) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  60174[0:SpL:617.2,12380.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,skf57(w))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)))))*.
% 299.87/300.56  60225[0:SpL:748.2,12380.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(w)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  17119[0:SpL:506.1,12380.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))))))*.
% 299.87/300.56  17118[0:SpL:505.1,12380.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))))))*.
% 299.87/300.56  29786[0:SpL:615.2,12380.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(skf57(v),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)))))*.
% 299.87/300.56  29946[0:SpL:613.2,12380.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)))))*.
% 299.87/300.56  60227[0:SpL:752.2,12380.0] class_Groups_Ogroup__add(u) || equal(skf57(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  67817[0:SpL:5744.1,968.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* equal(w,v).
% 299.87/300.56  53210[0:Res:788.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))*.
% 299.87/300.56  67798[0:SpL:5744.1,968.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* equal(w,v).
% 299.87/300.56  44590[0:SpL:616.2,4192.0] class_Groups_Ozero(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(w) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)))))*.
% 299.87/300.56  44591[0:SpL:617.2,4192.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)))))*.
% 299.87/300.56  67801[0:SpL:5744.1,968.0] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) equal(v,w).
% 299.87/300.56  76671[0:SpR:2170.1,963.2] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) SkP2(c_Int_Onat,u,v) SkP1(c_Int_Onat,u,v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.56  15625[0:SpL:506.1,4192.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.56  15727[0:SpL:505.1,4192.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.56  50011[0:SpL:748.2,4192.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  68065[0:Res:1640.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v))*.
% 299.87/300.56  78526[0:SpR:1073.0,587.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.56  49869[0:SpL:752.2,4192.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  42871[0:Rew:691.1,42859.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,x)))*.
% 299.87/300.56  20947[0:Res:579.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))))* -> equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.56  20764[0:Res:585.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))))* -> equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.56  42869[0:Rew:691.1,42861.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf57(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf48(c_fequal(x)))))*.
% 299.87/300.56  72894[0:SpL:999.1,620.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.56  72618[0:SpL:1659.1,620.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u)** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.56  59086[0:SpL:2526.0,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(hAPP(c_Int_Onat,v),w)),hAPP(c_Int_Onat,v)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  59120[0:Res:579.1,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(u,hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  71727[0:SpL:902.2,24466.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.56  63366[0:SpL:687.1,925.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))** -> equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  52090[0:Res:437.0,863.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))**.
% 299.87/300.56  1170[0:Inp] || hBOOL(hAPP(u,v))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),u),c_Nat_OSuc))),c_Orderings_Oord__class_OLeast(tc_Nat_Onat,u))**.
% 299.87/300.56  48247[0:Res:12638.1,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))),v).
% 299.87/300.56  54532[0:MRR:54495.4,44829.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.56  28508[0:SpL:618.2,12569.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf57(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf48(c_fequal(v))))*.
% 299.87/300.56  28504[0:SpL:618.2,383.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))*.
% 299.87/300.56  44578[0:SpL:690.2,4192.0] class_Rings_Ocomm__semiring__1(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf60(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.56  76672[2:SpR:63796.1,963.2] || equal(u,skf49(c_fNot)) SkP2(c_Int_Onat,u,v) SkP1(c_Int_Onat,u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.56  41378[0:Res:1649.2,429.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))))*.
% 299.87/300.56  59534[0:SpL:690.2,12183.0] class_Rings_Ocomm__semiring__1(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf60(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.56  60161[0:SpL:690.2,12380.0] class_Rings_Ocomm__semiring__1(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf60(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.56  60402[0:SpL:690.2,12538.0] class_Rings_Ocomm__semiring__1(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf60(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.56  60849[0:SpL:690.2,16218.0] class_Rings_Ocomm__semiring__1(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf60(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.56  48219[0:Res:12638.1,467.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Int_Onat,w),v) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w)**.
% 299.87/300.56  48220[0:Res:12638.1,469.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(v,hAPP(c_Int_Onat,w)) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w)**.
% 299.87/300.56  41492[0:SpL:503.2,735.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.56  41522[0:SpL:356.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  41523[0:SpL:371.1,735.0] class_Lattices_Oboolean__algebra(u) || hBOOL(v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.56  41792[0:Res:12782.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.56  69199[0:Res:64780.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.56  43778[0:Res:1649.2,11888.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(v,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.56  43728[0:Res:1649.2,25570.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),v)*.
% 299.87/300.56  78506[0:Res:78447.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),u)),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.56  44184[0:Res:1649.2,25381.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(v,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.56  43541[0:Res:1649.2,25382.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))),v)*.
% 299.87/300.56  41595[0:SpL:505.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.56  41596[0:SpL:506.1,735.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.56  71646[0:SpL:941.1,24466.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  43636[0:SpR:9504.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),skf64(w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  63566[0:SpR:3703.0,11363.1] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.56  63567[0:SpR:3704.0,11363.1] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(w,skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.56  46729[0:SpL:3704.0,10132.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  46548[0:SpL:3703.0,10132.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),skf50(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  71649[0:SpL:936.1,24466.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  47664[0:Obv:47663.2] class_Power_Opower(u) || equal(skf62(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.56  59125[0:Res:740.1,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(v,w)),v))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.56  66753[0:SSi:66747.0,107.0] || equal(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),v_x____),c_Groups_Ozero__class_Ozero(t_a))** -> equal(c_Polynomial_Oorder(t_a,v_y____,hAPP(hAPP(c_Polynomial_OpCons(t_a),v_c____),v_cs____)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  66987[0:SpL:950.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),w)) -> SkP1(c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.56  66986[0:SpL:950.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),w)) -> SkP2(c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.56  67027[0:Rew:66992.0,66990.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,skf48(c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.56  71628[0:SpL:1672.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.56  76493[0:SSi:76422.0,122.1] class_Rings_Oidom(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),c_Groups_Ozero__class_Ozero(u)) equal(c_Polynomial_Oorder(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.56  80248[0:SpR:593.1,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.56  75811[0:Res:5870.1,12635.0] || equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.56  66759[0:SpR:2543.1,5744.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))* -> equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v))*.
% 299.87/300.56  66774[0:SpR:2543.1,2170.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.56  66781[0:SpR:2543.1,26032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.56  66782[0:SpR:2543.1,26072.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.56  66786[8:SpR:2543.1,19779.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.56  66788[0:SpR:2543.1,6866.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),skf48(c_Int_Onat))** -> hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.56  66797[0:SpR:2543.1,5837.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** -> hBOOL(hAPP(c_fNot,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.56  66798[0:SpR:2543.1,5840.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_Int_Onat))** -> hBOOL(hAPP(c_Int_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.56  66841[0:SpL:2543.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> SkP2(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)*.
% 299.87/300.56  66842[0:SpL:2543.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> SkP1(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)*.
% 299.87/300.56  63677[0:SSi:63662.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.56  45301[0:Res:785.1,12546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))**.
% 299.87/300.56  41368[0:Res:1649.2,327.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),v)*.
% 299.87/300.56  66803[0:SpR:5744.1,2543.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.56  66805[0:SpR:5744.1,2543.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.56  51446[4:MRR:51320.1,8759.0] || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))*.
% 299.87/300.56  73395[0:SSi:73379.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))*.
% 299.87/300.56  52037[0:Res:831.2,464.1] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.56  51284[0:SpL:13147.1,12635.0] || equal(skf48(c_fequal(skf58(u))),v) hBOOL(hAPP(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(u,w))*.
% 299.87/300.56  51389[0:Res:428.2,12635.0] class_Orderings_Oorder(u) || equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(u,v)))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.87/300.56  51390[0:Res:1639.2,12635.0] class_Orderings_Olinorder(u) || equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(u,v)))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.87/300.56  52463[0:Res:5871.1,839.0] || equal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  79530[0:SSi:79471.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.56  79531[0:SSi:79469.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)))*.
% 299.87/300.56  59289[0:Rew:219.0,59241.2] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))))*.
% 299.87/300.56  45362[0:Res:783.1,12546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))**.
% 299.87/300.56  43515[0:Res:1649.2,25507.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),v)*.
% 299.87/300.56  41359[0:Res:1649.2,326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(v,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.56  77613[0:Res:694.1,1030.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> .
% 299.87/300.56  67463[0:SpL:5744.1,964.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.56  67229[0:SpL:5744.1,965.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.56  67118[0:SpL:5744.1,966.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.56  67461[0:SpL:5744.1,964.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.56  67232[0:SpL:5744.1,965.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint))*.
% 299.87/300.56  53847[0:Res:825.2,464.1] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.56  69043[0:Res:64648.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v)),skf48(c_fequal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.56  53359[0:Res:12637.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.56  75819[0:Res:5870.1,839.0] || equal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  55163[0:SSi:55115.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  79792[0:SSi:79729.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))*.
% 299.87/300.56  79793[0:SSi:79727.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.56  44372[0:SpL:616.2,4191.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(w) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)))))*.
% 299.87/300.56  44373[0:SpL:617.2,4191.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),skf60(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)))))*.
% 299.87/300.56  64138[0:SSi:64123.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.56  53480[0:SSi:53442.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))))* equal(skf48(c_fequal(skf62(u,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  53283[0:SpR:313.1,12637.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.56  1158[0:Inp] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))),c_Int_Oring__1__class_Oof__int(u,v))**.
% 299.87/300.56  53317[0:SpR:414.0,12637.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u))),u).
% 299.87/300.56  53396[0:Res:12637.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))).
% 299.87/300.56  1687[0:Rew:1073.0,1159.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  1688[0:Rew:1073.0,1160.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  64137[0:SSi:64124.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))**.
% 299.87/300.56  47283[0:SpR:808.2,477.2] class_Rings_Oring__1(u) class_Nat_Osemiring__char__0(u) || equal(v,hAPP(c_Int_Onat,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Int_Oring__1__class_Oof__int(u,w))*.
% 299.87/300.56  47301[0:SpL:808.2,476.1] class_Rings_Oring__1(u) class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Int_Oring__1__class_Oof__int(u,w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(v,hAPP(c_Int_Onat,w))*.
% 299.87/300.56  76675[0:SpR:2169.1,963.2] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP2(c_Int_Onat,u,v) SkP1(c_Int_Onat,u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.56  76682[0:SpR:242.0,963.2] || SkP2(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP1(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.56  15624[0:SpL:506.1,4191.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.56  15726[0:SpL:505.1,4191.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.56  50010[0:SpL:748.2,4191.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  45224[0:SpR:742.0,819.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(v,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),v),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  45735[0:SpL:742.0,820.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),x),y)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),hAPP(x,y)))*.
% 299.87/300.56  49868[0:SpL:752.2,4191.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.56  52467[0:Res:428.2,839.0] class_Orderings_Oorder(u) || equal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  52468[0:Res:1639.2,839.0] class_Orderings_Olinorder(u) || equal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  78603[0:SpL:1073.0,1620.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.56  79323[0:SSi:79233.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))).
% 299.87/300.56  79322[0:SSi:79234.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)).
% 299.87/300.56  78694[0:SSi:78542.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.56  78680[0:SSi:78606.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.56  78679[0:SSi:78607.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))).
% 299.87/300.56  78693[0:SSi:78545.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.56  79288[0:Rew:1073.0,79231.0,1074.0,79231.0,1074.0,79231.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.56  79340[0:SSi:79122.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.56  79341[0:SSi:79119.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.56  79536[0:SSi:79434.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  79537[0:SSi:79432.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  79800[0:SSi:79692.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  79801[0:SSi:79690.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  59596[0:SpL:744.2,12183.0] class_Rings_Oidom(u) || equal(skf60(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),skf60(hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.56  60223[0:SpL:744.2,12380.0] class_Rings_Oidom(u) || equal(skf57(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),skf60(hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.56  60465[0:SpL:744.2,12538.0] class_Rings_Oidom(u) || equal(skf48(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),skf60(hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.56  60912[0:SpL:744.2,16218.0] class_Rings_Oidom(u) || equal(skf47(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),skf60(hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.56  29235[0:SpL:448.2,12641.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u))* hBOOL(hAPP(c_Int_Onat,v))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),w))*.
% 299.87/300.56  111895[18:MRR:51324.1,111803.0] || equal(skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))*.
% 299.87/300.56  150344[0:Res:63058.1,839.0] || SkP0(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  158120[4:SpR:2543.1,150576.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.56  158439[0:Rew:2872.0,158405.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* -> .
% 299.87/300.56  162998[26:SpR:2543.1,161957.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> SkP0(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)*.
% 299.87/300.56  167258[0:Rew:414.0,167210.0,1074.0,167210.0,1074.0,167210.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.56  168779[27:SpR:2543.1,163997.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> SkP0(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.56  170213[0:SpR:742.0,1913.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(u)),hAPP(c_Power_Opower__class_Opower(u),v)),v))*.
% 299.87/300.56  171016[0:SSi:171015.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  171113[0:Res:1036.2,584.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171109[0:Res:1036.2,583.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171133[0:SSi:171132.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  171234[0:Res:1038.2,584.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171230[0:Res:1038.2,583.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171441[0:SSi:171440.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  171545[0:SSi:171544.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  172129[0:Res:1035.2,584.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.87/300.56  172125[0:Res:1035.2,583.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.87/300.56  172170[0:SSi:172169.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))))*.
% 299.87/300.56  172273[0:Rew:1093.1,172226.2] class_Rings_Ocomm__ring(u) || equal(v,w) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.56  172275[0:Rew:1093.1,172185.2] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))**.
% 299.87/300.56  172276[0:Rew:1093.1,172184.2] class_Rings_Ocomm__ring(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))**.
% 299.87/300.56  172307[0:SpR:449.1,1683.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  172298[0:SpR:1683.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),y),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),y))*.
% 299.87/300.56  172339[0:SSi:172297.0,133.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.56  172503[0:SpL:1064.1,384.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.56  172450[0:SpR:1064.1,742.0] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),hAPP(c_Power_Opower__class_Opower(u),y)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.56  172547[0:SSi:172445.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))**.
% 299.87/300.56  172708[0:SpL:1689.1,384.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.56  172655[0:SpR:1689.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),hAPP(c_Power_Opower__class_Opower(u),y)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.56  173179[0:SpL:1091.1,557.1] class_Rings_Ocomm__semiring__1(u) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),v)** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  173056[0:SpR:1091.1,594.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),v),v)**.
% 299.87/300.56  173320[0:SSi:173319.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(hAPP(c_Nat_OSuc,v)))),u))*.
% 299.87/300.56  173615[0:SSi:173614.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))).
% 299.87/300.56  173821[0:SSi:173820.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))))*.
% 299.87/300.56  174101[0:SSi:174100.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))).
% 299.87/300.56  174229[0:Res:1040.2,584.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.56  174225[0:Res:1040.2,583.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.56  174261[0:Rew:3728.0,174260.3] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),v)))*.
% 299.87/300.56  174268[0:SSi:174267.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u))))*.
% 299.87/300.56  174510[0:Res:7329.1,1006.0] ||  -> SkP1(u,skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w,x),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.56  174509[0:Res:300.1,1006.0] || equal(skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174503[0:Res:301.0,1006.0] ||  -> SkP1(u,skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.56  174496[0:Res:5747.1,1006.0] || equal(skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v,w),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174839[0:Res:7329.1,1009.0] ||  -> SkP1(u,skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w,x),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.56  174838[0:Res:300.1,1009.0] || equal(skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174832[0:Res:301.0,1009.0] ||  -> SkP1(u,skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w,x),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.56  174825[0:Res:5747.1,1009.0] || equal(skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v,w),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  175101[0:SSi:175021.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.56  175239[0:SpR:174966.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),skf64(w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  175628[0:SSi:175532.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w)).
% 299.87/300.56  175653[0:SpR:175499.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  175684[0:SpR:175495.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),skf64(w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  176301[0:Res:5747.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),y,z)))*.
% 299.87/300.56  176448[0:Rew:365.1,176271.4] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),y,z))*.
% 299.87/300.56  176450[0:Rew:363.1,176244.4] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),y,z))*.
% 299.87/300.56  176451[0:Rew:359.1,176243.4] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),y,z))*.
% 299.87/300.56  176452[0:Rew:360.1,176242.4] class_Groups_Ocomm__monoid__mult(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),y,z))*.
% 299.87/300.56  176453[0:Rew:351.1,176218.4] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),y,z))*.
% 299.87/300.56  176454[0:Rew:354.1,176217.4] class_Groups_Ocomm__monoid__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),y,z))*.
% 299.87/300.56  176455[0:Rew:355.1,176216.4] class_Groups_Omonoid__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),y,z))*.
% 299.87/300.56  176744[0:SSi:176676.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,w)),c_Int_Oring__1__class_Oof__int(u,w))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.56  176745[0:SSi:176674.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))*.
% 299.87/300.56  176747[0:SSi:176572.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.56  176748[0:SSi:176571.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.56  176875[0:Res:576.2,1043.1] class_Orderings_Owellorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Orderings_Oord__class_OLeast(u,v)),x))*.
% 299.87/300.56  177060[0:SSi:176928.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))*.
% 299.87/300.56  79246[0:SpL:1074.0,384.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)))))*.
% 299.87/300.56  53316[0:SpR:412.0,12637.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onat,u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))),u).
% 299.87/300.56  176393[2:Res:5951.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf60(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.56  176394[2:Res:54544.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),skf49(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.56  159817[2:Res:146401.1,839.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  159740[2:Res:64525.1,839.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  159682[2:Res:64591.1,839.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  76924[0:SpR:19349.0,963.2] || SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.56  146387[2:Res:64591.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.56  159808[2:Res:146401.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)).
% 299.87/300.56  177360[0:SSi:177284.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,w)),c_Int_Oring__1__class_Oof__int(u,w))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.56  177361[0:SSi:177282.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),w))*.
% 299.87/300.56  177362[0:Obv:177210.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.56  177363[0:SSi:177181.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.56  177364[0:SSi:177180.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))*.
% 299.87/300.56  177443[0:Res:576.2,1063.1] class_Orderings_Owellorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),x))*.
% 299.87/300.56  177778[0:SSi:177712.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,w)),c_Int_Oring__1__class_Oof__int(u,w))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  177779[0:SSi:177710.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  177780[0:SSi:177609.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  177781[0:SSi:177608.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  177889[0:Res:576.2,1062.1] class_Orderings_Owellorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Orderings_Oord__class_OLeast(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.56  178108[0:SSi:177942.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.56  178344[0:SSi:178272.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,w)),c_Int_Oring__1__class_Oof__int(u,w))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  178345[0:SSi:178270.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.56  178346[0:SSi:178169.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  178347[0:SSi:178168.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  178454[0:Res:576.2,1042.1] class_Orderings_Owellorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Orderings_Oord__class_OLeast(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.56  178630[0:SSi:178507.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.56  179105[0:SSi:179104.1,140.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))*.
% 299.87/300.56  179111[0:SSi:179110.1,140.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 299.87/300.56  179285[0:SpL:1082.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.56  179222[0:SpR:1082.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),hAPP(c_Power_Opower__class_Opower(u),y)),z),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,z,z)),y))*.
% 299.87/300.56  179375[0:SSi:179209.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v))))*.
% 299.87/300.56  179416[0:SSi:179415.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),v)))*.
% 299.87/300.56  179844[0:SpR:9368.0,1075.0] ||  -> equal(hAPP(skf64(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),skf50(skf64(u))),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),skf50(skf64(u))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  179661[0:SpR:242.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.56  179645[8:SpR:49081.0,1075.0] ||  -> equal(hAPP(skf62(c_Int_Onat,skf47(c_Int_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),skf47(c_Int_Onat)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),skf47(c_Int_Onat)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.56  179624[15:SpR:67570.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(t_a),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(t_a,v_cs____)),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(t_a,v_cs____)),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  179596[0:SpR:1075.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower_Opower(y,z,x),x1)),x1),hAPP(hAPP(c_Power_Opower_Opower(y,z,x),x1),hAPP(c_Nat_OSuc,x1)))**.
% 299.87/300.56  179582[0:SpR:1075.0,16179.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.56  179581[0:SpR:1075.0,29832.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.56  179578[0:SpR:1075.0,365.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),c_Groups_Oone__class_Oone(u)),x))**.
% 299.87/300.56  179577[0:SpR:1075.0,19349.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.56  179533[0:SpR:1075.0,363.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Oone__class_Oone(u)),x))**.
% 299.87/300.56  179532[0:SpR:1075.0,359.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Oone__class_Oone(u)),x))**.
% 299.87/300.56  179531[0:SpR:1075.0,360.1] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),c_Groups_Oone__class_Oone(u)),x))**.
% 299.87/300.56  179517[0:SpR:1075.0,46655.0] ||  -> SkP1(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)),y),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.56  179504[0:SpR:1075.0,351.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),c_Groups_Ozero__class_Ozero(u)),x))**.
% 299.87/300.56  179503[0:SpR:1075.0,354.1] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),c_Groups_Ozero__class_Ozero(u)),x))**.
% 299.87/300.56  179502[0:SpR:1075.0,355.1] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),c_Groups_Ozero__class_Ozero(u)),x))**.
% 299.87/300.56  180282[0:SpL:70899.0,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),u)).
% 299.87/300.56  180468[0:SpL:276.0,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf55(v,u)))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.56  181372[0:SpR:283.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),x),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,w)))**.
% 299.87/300.56  181371[0:SpR:1618.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w)),x),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(x,w)))**.
% 299.87/300.56  181335[0:SpR:272.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(w,x)))*.
% 299.87/300.56  181334[0:SpR:262.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(w,x)))*.
% 299.87/300.56  181326[0:SpR:268.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(w,x)))*.
% 299.87/300.56  181266[0:SpR:285.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_COMBK(w,x),y)),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),hAPP(z,x1)))**.
% 299.87/300.56  181247[0:SpR:242.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.87/300.56  181230[0:SpR:3614.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),skf48(c_fequal(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(w,skf48(c_fequal(x)))))*.
% 299.87/300.56  181228[0:SpR:8586.1,1098.1] class_Groups_Ominus(u) ||  -> SkP0(v,w)* equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),c_Int_Onat),y),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(y,v)))**.
% 299.87/300.56  181224[0:SpR:18711.1,1098.1] class_Groups_Ominus(u) ||  -> SkP0(v,w)* equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),c_Int_Onat),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(y,w)))**.
% 299.87/300.56  181138[0:SpR:283.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  181137[0:SpR:1618.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  181101[0:SpR:272.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),x))*.
% 299.87/300.56  181100[0:SpR:262.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),x))*.
% 299.87/300.56  181092[0:SpR:268.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),x))*.
% 299.87/300.56  181032[0:SpR:285.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_COMBK(x,y),z)),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x1)),z))**.
% 299.87/300.56  181013[0:SpR:242.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  180996[0:SpR:3614.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),skf48(c_fequal(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf48(c_fequal(x)))),x))*.
% 299.87/300.56  180994[0:SpR:8586.1,1098.1] class_Groups_Ominus(u) ||  -> SkP0(v,w)* equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),c_Int_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  180990[0:SpR:18711.1,1098.1] class_Groups_Ominus(u) ||  -> SkP0(v,w)* equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),c_Int_Onat),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  180940[0:SpR:1098.1,814.1] class_Groups_Ominus(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Groups_Ouminus__class_Ouminus(u)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(w,x)),x))*.
% 299.87/300.56  181493[0:SSi:180937.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v)),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(w,x))))*.
% 299.87/300.56  181746[0:SSi:181699.1,122.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),x))**.
% 299.87/300.56  181981[0:Rew:28433.2,181873.4] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* equal(w,c_Groups_Oone__class_Oone(u)) -> equal(c_Polynomial_Omonom(u,w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))**.
% 299.87/300.56  181995[0:AED:109.0,181949.1] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),v),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),skf49(hAPP(c_Polynomial_OpCons(u),w))))*.
% 299.87/300.56  182782[0:Res:1706.2,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> .
% 299.87/300.56  182739[2:SpR:52124.1,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.56  182920[0:SSi:182890.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> .
% 299.87/300.56  183104[0:SSi:183084.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(v,hAPP(c_Int_Onat,u))) -> .
% 299.87/300.56  183329[0:SpR:1129.1,1637.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.56  183689[0:SSi:183656.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> .
% 299.87/300.56  184480[0:SpR:458.1,1139.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.56  184820[0:SpL:458.1,1893.1] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,u)*.
% 299.87/300.56  185025[0:SpL:18862.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> SkP0(y,skf48(c_fequal(u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  184984[0:SpL:18862.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(v,c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> SkP0(x,skf48(c_fequal(y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),w))*.
% 299.87/300.56  185046[0:Rew:2545.0,184998.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  185050[0:Rew:2545.0,184957.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.56  185659[0:Res:1131.2,469.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(u))** -> .
% 299.87/300.56  185658[0:Res:1131.2,467.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Oone__class_Oone(u))** -> .
% 299.87/300.56  185620[0:SpR:2526.0,1131.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))*.
% 299.87/300.56  185687[0:SSi:185648.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.56  185688[0:SSi:185639.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))))*.
% 299.87/300.56  186043[0:Res:5746.1,3663.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_fequal(u),w,v)),v)**.
% 299.87/300.56  186125[4:SSi:185994.1,8759.0] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_fconj,u),w,v)),v)**.
% 299.87/300.56  186188[4:MRR:186187.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  186458[0:Res:5746.1,3661.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_fequal(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_fequal(u),w,v)),v)**.
% 299.87/300.56  186540[4:SSi:186409.1,8759.0] hBOOL(u) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_fconj,u),w,v)),v)**.
% 299.87/300.56  186603[4:MRR:186602.1,8759.0] class_Groups_Ocomm__monoid__add(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  187155[0:SSi:187033.0,113.1] class_Rings_Oidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.56  187163[0:SSi:186972.0,113.1] class_Rings_Oidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  187420[0:SSi:187305.0,113.1] class_Rings_Oidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.56  187428[0:SSi:187244.0,113.1] class_Rings_Oidom(u) || equal(v,c_Groups_Oone__class_Oone(u)) equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  188075[0:Res:3664.0,51113.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf46(c_Int_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Int_Onat,v,u)),u)**.
% 299.87/300.56  188071[2:Res:3664.0,52308.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188063[2:Res:3664.0,52144.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188058[0:Res:3664.0,55215.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188057[0:Res:3664.0,55181.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188043[2:Res:3664.0,53554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188037[2:Res:3664.0,51414.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188033[0:Res:3664.0,55613.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188017[0:Res:3664.0,24635.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_fequal(w),v,u)),u)** SkP1(x,w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.56  187993[0:Res:3664.0,297.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.56  187992[0:Res:3664.0,298.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.56  187991[0:Res:3664.0,38534.1] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.56  187976[0:Res:3664.0,55634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  187975[0:Res:3664.0,28826.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  187957[0:Res:3664.0,55301.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  187956[0:Res:3664.0,55085.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  187955[0:Res:3664.0,38533.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  187954[0:Res:3664.0,38532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  187890[0:SpR:3664.2,22759.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) SkP1(x,skf68(u,skf64(w),v),skf50(v))*.
% 299.87/300.56  187852[0:SpR:3664.2,3732.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),skf68(u,w,v)).
% 299.87/300.56  187851[0:SpR:3664.2,24692.1] || equal(skf68(u,v,w),x)* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) SkP1(y,x,w)*.
% 299.87/300.56  187827[0:SpR:413.1,3664.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.56  187761[0:SpR:407.1,3664.0] class_Rings_Omult__zero(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.56  187760[0:SpR:406.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.56  187759[0:SpR:405.1,3664.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.56  187731[0:SpR:410.1,3664.0] class_Groups_Ozero(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  187726[0:SpR:408.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  187725[0:SpR:396.1,3664.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  188089[0:Rew:2544.0,187918.2] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf68(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)),v).
% 299.87/300.56  188648[0:Res:3662.0,51113.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf46(c_Int_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Int_Onat,v,u)),u)**.
% 299.87/300.56  188644[2:Res:3662.0,52308.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188636[2:Res:3662.0,52144.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188631[0:Res:3662.0,55215.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188630[0:Res:3662.0,55181.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188616[2:Res:3662.0,53554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188610[2:Res:3662.0,51414.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.56  188606[0:Res:3662.0,55613.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188590[0:Res:3662.0,24635.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_fequal(w),v,u)),u)** SkP1(x,w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.56  188566[0:Res:3662.0,297.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.56  188565[0:Res:3662.0,298.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.56  188564[0:Res:3662.0,38534.1] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.56  188549[0:Res:3662.0,55634.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188548[0:Res:3662.0,28826.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188530[0:Res:3662.0,55301.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188529[0:Res:3662.0,55085.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188528[0:Res:3662.0,38533.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188527[0:Res:3662.0,38532.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.56  188463[0:SpR:3662.2,22759.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) SkP1(x,skf67(u,skf64(w),v),skf50(v))*.
% 299.87/300.56  188425[0:SpR:3662.2,3732.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),skf67(u,w,v)).
% 299.87/300.56  188424[0:SpR:3662.2,24692.1] || equal(skf67(u,v,w),x)* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) SkP1(y,x,w)*.
% 299.87/300.56  188400[0:SpR:413.1,3662.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),w,v)),v)**.
% 299.87/300.56  188334[0:SpR:407.1,3662.0] class_Rings_Omult__zero(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.56  188333[0:SpR:406.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.56  188332[0:SpR:405.1,3662.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.56  188304[0:SpR:410.1,3662.0] class_Groups_Ozero(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  188299[0:SpR:408.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  188298[0:SpR:396.1,3662.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.56  188662[0:Rew:2544.0,188491.2] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf67(u,c_Groups_Oone__class_Oone(tc_Nat_Onat),v)),v).
% 299.87/300.56  40927[0:Rew:741.1,40906.3] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))*.
% 299.87/300.56  43245[0:Res:725.2,586.1] class_Rings_Olinordered__idom(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  56735[0:Res:835.2,464.1] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)))))*.
% 299.87/300.56  56847[0:Res:833.2,464.1] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)))))*.
% 299.87/300.56  75682[0:Res:576.2,976.1] class_Orderings_Owellorder(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(w,x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Orderings_Oord__class_OLeast(tc_fun(u,v),w),y)),hAPP(x,y)))*.
% 299.87/300.56  58043[0:SpR:742.0,853.3] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(v,w)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u))),v),w))*.
% 299.87/300.56  57975[0:SpR:742.0,854.3] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(v,w)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),v),w))*.
% 299.87/300.56  3666[0:Rew:3621.0,2574.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))**.
% 299.87/300.56  50343[0:SSi:50306.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x)))**.
% 299.87/300.56  50342[0:SSi:50308.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x)))**.
% 299.87/300.56  50345[0:SSi:50299.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),x)),x)**.
% 299.87/300.56  50344[0:SSi:50300.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x)),x)**.
% 299.87/300.56  43968[0:SpR:555.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),x1),hAPP(hAPP(y,x1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x1),z)))*.
% 299.87/300.56  43979[0:SpR:556.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),x1),hAPP(hAPP(y,x1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),z)))*.
% 299.87/300.56  43994[0:SpR:602.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(hAPP(c_COMBB(y,z,x1),x2),x3)),x4),hAPP(hAPP(x,x4),hAPP(x2,hAPP(x3,x4))))*.
% 299.87/300.56  43858[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_COMBS(x,y,z),x1)),x2),x3),hAPP(hAPP(x1,hAPP(x2,x3)),hAPP(x3,hAPP(x2,x3))))*.
% 299.87/300.56  44100[0:SpR:555.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),x1),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x1),y),hAPP(z,x1)))*.
% 299.87/300.56  44111[0:SpR:556.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),x1),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),y),hAPP(z,x1)))*.
% 299.87/300.56  58411[0:SpL:742.0,895.1] class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(w,x)),hAPP(hAPP(hAPP(c_COMBS(y,z,x1),c_Groups_Oplus__class_Oplus(u)),w),x))* -> equal(v,x).
% 299.87/300.56  44126[0:SpR:602.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(hAPP(c_COMBB(x,y,z),x1),x2)),x3),x4),hAPP(hAPP(x1,hAPP(x2,x4)),hAPP(x3,x4)))*.
% 299.87/300.56  43929[0:SpR:444.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),z)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),z))**.
% 299.87/300.56  1222[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),w)))**.
% 299.87/300.56  1696[0:Rew:556.1,1220.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Oone__class_Oone(u))),v))*.
% 299.87/300.56  44061[0:SpR:444.1,742.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),y)),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(y,hAPP(z,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.56  43825[0:SpR:742.0,741.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u))),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.56  75310[0:SSi:75307.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.56  58468[0:Res:725.2,870.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),x))* equal(x,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),x),w))*.
% 299.87/300.56  73703[0:Res:988.2,384.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))))*.
% 299.87/300.56  43138[0:Res:724.2,586.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  76028[0:Res:576.2,969.1] class_Orderings_Owellorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(v,w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Orderings_Oord__class_OLeast(u,v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Orderings_Oord__class_OLeast(u,v)))*.
% 299.87/300.56  73820[0:Res:972.2,384.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))))*.
% 299.87/300.56  72631[0:SpL:1659.1,384.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.56  44084[0:SpR:553.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),z),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(y,z)))**.
% 299.87/300.56  43952[0:SpR:553.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),z),hAPP(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  76294[0:SpL:994.1,384.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_Osmult(u),v)))))*.
% 299.87/300.56  73615[0:Res:991.2,384.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))))*.
% 299.87/300.56  54050[0:SpL:594.1,51176.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))))*.
% 299.87/300.56  43976[0:SpR:595.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1))),x1),hAPP(hAPP(y,x1),z))**.
% 299.87/300.56  43942[0:SpR:594.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1))),x1),hAPP(hAPP(y,x1),z))**.
% 299.87/300.56  44108[0:SpR:595.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z))),x1),z),hAPP(y,hAPP(x1,z)))**.
% 299.87/300.56  44074[0:SpR:594.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z))),x1),z),hAPP(y,hAPP(x1,z)))**.
% 299.87/300.56  72907[0:SpL:999.1,384.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.56  78699[0:SSi:78698.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))* -> equal(w,x).
% 299.87/300.56  79347[0:SSi:79238.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)))* -> equal(u,x).
% 299.87/300.56  79242[0:SpL:1074.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),x).
% 299.87/300.56  78617[0:SpL:1073.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x).
% 299.87/300.56  78263[0:SpL:1078.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x).
% 299.87/300.56  42502[0:SpL:685.2,492.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(w,skf33(w,hAPP(c_Polynomial_Osmult(u),v))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(c_Polynomial_Osmult(u),v),w).
% 299.87/300.56  42510[0:SpL:685.2,492.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(w,skf33(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,hAPP(c_Polynomial_Osmult(u),v)).
% 299.87/300.56  39318[0:SpL:616.2,12641.0] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,w))* hBOOL(x) equal(w,skf48(c_fequal(y)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),y))*.
% 299.87/300.56  43916[0:SpR:597.2,742.0] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Ominus__class_Ominus(u),v)),w),hAPP(hAPP(x1,w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  43917[0:SpR:598.2,742.0] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Ominus__class_Ominus(u),v)),w),hAPP(hAPP(x1,w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  44048[0:SpR:597.2,742.0] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Ominus__class_Ominus(u),v)),x1),w),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x1,w)))**.
% 299.87/300.56  44049[0:SpR:598.2,742.0] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Ominus__class_Ominus(u),v)),x1),w),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x1,w)))**.
% 299.87/300.56  43978[0:SpR:558.2,742.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Oplus__class_Oplus(u),x1)),v),hAPP(hAPP(z,v),x1))**.
% 299.87/300.56  44110[0:SpR:558.2,742.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),x1),v),hAPP(z,hAPP(x1,v)))**.
% 299.87/300.56  43313[0:SpL:689.2,464.1] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || equal(w,x)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),y))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,x),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,x))))*.
% 299.87/300.56  66698[0:SSi:66697.2,122.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,x)),y),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,w,x)),y))*.
% 299.87/300.56  66701[0:SSi:66700.2,122.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,x,v)),y),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,x,w)),y))*.
% 299.87/300.56  76495[0:SSi:76494.2,122.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,x)),y),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,x)),y))*.
% 299.87/300.56  39276[0:SpL:617.2,12641.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w)))* -> equal(x,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,x)),w))*.
% 299.87/300.56  57422[0:SpR:567.2,1672.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.56  57440[0:SSi:57426.2,121.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,c_Polynomial_Omonom(u,w,x)) -> equal(hAPP(c_Polynomial_Opoly(u,v),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.56  65949[0:SpR:448.2,941.1] class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(c_Polynomial_Opoly(u,v),w))**.
% 299.87/300.56  56702[0:SpR:484.2,835.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.56  56289[0:SpL:484.2,836.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.56  56720[0:SpR:484.2,835.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,x)))*.
% 299.87/300.56  56307[0:SpL:484.2,836.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x))*.
% 299.87/300.56  1218[0:Inp] class_Fields_Ofield(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.56  1217[0:Inp] class_Fields_Ofield(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),x)),w))*.
% 299.87/300.56  75252[0:SpL:448.2,973.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.56  73759[0:SpR:448.2,972.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.56  75270[0:SpL:448.2,973.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.56  73777[0:SpR:448.2,972.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.56  79709[0:SpR:5744.1,1049.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)))*.
% 299.87/300.56  79485[0:SpR:5744.1,1076.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)),u))*.
% 299.87/300.56  79414[0:SpR:5744.1,1076.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)))*.
% 299.87/300.56  79451[0:SpR:5744.1,1076.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)))*.
% 299.87/300.56  75135[0:SpL:448.2,989.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.56  74968[0:SpL:448.2,992.1] class_Groups_Olinordered__ab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.56  73653[0:SpR:448.2,988.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.56  73565[0:SpR:448.2,991.2] class_Groups_Olinordered__ab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.56  75153[0:SpL:448.2,989.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)).
% 299.87/300.56  74986[0:SpL:448.2,992.1] class_Groups_Olinordered__ab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)).
% 299.87/300.56  73671[0:SpR:448.2,988.2] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.56  73583[0:SpR:448.2,991.2] class_Groups_Olinordered__ab__group__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.56  65669[0:SpL:503.2,938.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__ring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))*.
% 299.87/300.56  64839[0:SpR:503.2,937.2] class_Groups_Ogroup__add(u) class_Rings_Ocomm__ring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.56  58718[0:SpL:742.0,904.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_OpCons(u)),x1),x2))* -> equal(w,hAPP(x1,x2)).
% 299.87/300.56  79096[0:SpR:1074.0,5744.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u))*.
% 299.87/300.56  79172[0:SpR:5744.1,1074.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))*.
% 299.87/300.56  72593[0:SpR:448.2,1659.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Oring(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))**.
% 299.87/300.56  70092[0:SpR:448.2,1686.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))**.
% 299.87/300.56  71074[0:SpR:448.2,1660.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Oring(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))**.
% 299.87/300.56  78595[0:SpR:5744.1,1073.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))*.
% 299.87/300.56  78671[0:Rew:1073.0,78564.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))*.
% 299.87/300.56  78252[0:SpR:5744.1,1078.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x)))*.
% 299.87/300.56  78324[0:Rew:1078.0,78207.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)))*.
% 299.87/300.56  78701[0:SSi:78611.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)))* -> equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)).
% 299.87/300.56  79346[0:SSi:79241.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)))* -> equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)).
% 299.87/300.56  78334[0:SSi:78333.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.56  58281[0:SpL:742.0,897.1] class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(u)),x1),v))* -> equal(w,hAPP(x1,v)).
% 299.87/300.56  58147[0:SpL:742.0,896.1] class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(u)),x1),v))* -> equal(w,hAPP(x1,v)).
% 299.87/300.56  44025[0:SpR:449.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.56  43893[0:SpR:449.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  79243[0:SpL:1074.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),x).
% 299.87/300.56  78618[0:SpL:1073.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x).
% 299.87/300.56  78264[0:SpL:1078.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x).
% 299.87/300.56  60566[0:Res:871.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(v)))* -> equal(hAPP(c_Nat_OSuc,u),skf48(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.56  59685[0:Res:871.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(v)))* -> equal(hAPP(c_Nat_OSuc,u),skf60(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.56  61300[0:SpR:13147.1,3764.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)))*.
% 299.87/300.56  61340[0:SpR:13147.1,3764.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.56  56619[0:SpR:477.2,844.2] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,x)))*.
% 299.87/300.56  56199[0:SpL:477.2,843.1] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  59293[0:MRR:59265.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(w,hAPP(c_Nat_OSuc,u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))))*.
% 299.87/300.56  52378[0:MRR:52331.2,218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) equal(hAPP(c_Nat_OSuc,skf51(v,hAPP(c_Nat_OSuc,u))),hAPP(c_Nat_OSuc,u)).
% 299.87/300.56  43794[0:SpR:742.0,3709.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(v,u))) equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(v,u))),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),u)),u)**.
% 299.87/300.56  56611[0:SpR:477.2,844.2] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.56  56191[0:SpL:477.2,843.1] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.56  77029[0:Res:963.2,384.0] || SkP2(u,v,w)* SkP1(u,v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(hAPP(u,v),hAPP(c_Int_Onat,skf48(hAPP(u,v)))))*.
% 299.87/300.56  76929[0:SpR:405.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  76930[0:SpR:407.1,963.2] class_Rings_Omult__zero(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  76897[0:SpR:401.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  76898[0:SpR:403.1,963.2] class_Rings_Omult__zero(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  56105[0:SpL:477.2,848.1] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))*.
% 299.87/300.56  56097[0:SpL:477.2,848.1] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.56  61149[0:SpR:13147.1,3763.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)))*.
% 299.87/300.56  61189[0:SpR:13147.1,3763.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.56  56554[0:Res:847.2,464.1] class_Rings_Olinordered__semidom(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)))))*.
% 299.87/300.56  56530[0:SpR:477.2,847.2] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.56  56538[0:SpR:477.2,847.2] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,x)))*.
% 299.87/300.56  41433[0:MRR:41356.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))))*.
% 299.87/300.56  1224[0:Inp] class_Rings_Olinordered__ring__strict(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  1225[0:Inp] class_Rings_Olinordered__ring__strict(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  60016[0:SpR:13147.1,3761.0] || equal(skf48(c_fequal(u)),v) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)))*.
% 299.87/300.56  68909[0:Rew:3724.0,68865.2,3654.0,68865.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,w)))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),x)))*.
% 299.87/300.56  68800[0:SpR:3724.0,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),x))),w))*.
% 299.87/300.56  68911[0:Rew:3614.0,68862.1,2525.0,68862.1,3724.0,68862.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.56  69553[0:SpL:3732.0,3665.0] || hBOOL(u) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),u)),x))*.
% 299.87/300.56  68063[0:Res:740.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x))),w))*.
% 299.87/300.56  68570[0:Res:740.1,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x))),w)),v))*.
% 299.87/300.56  80279[0:SpR:5744.1,1017.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  69780[4:MRR:69515.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x))*.
% 299.87/300.56  80244[0:SpR:5744.1,1017.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))*.
% 299.87/300.56  80444[0:SpR:5744.1,1016.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x)),u))*.
% 299.87/300.56  80425[0:SpR:682.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u)))*.
% 299.87/300.56  80314[0:SpR:5744.1,1017.1] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)),u))*.
% 299.87/300.56  80379[0:SpR:5744.1,1016.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.56  80414[0:SpR:5744.1,1016.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)))*.
% 299.87/300.56  21728[0:Rew:21719.1,21244.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(w,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.56  69575[0:SpL:393.1,3665.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 299.87/300.56  80284[0:SpR:5744.1,1017.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))*.
% 299.87/300.56  62419[0:SpR:15222.0,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(v,w))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))),u),hAPP(c_Nat_OSuc,skf44(u,c_Int_Onat__aux(v,w))))**.
% 299.87/300.56  60567[0:Res:740.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.56  59686[0:Res:740.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf60(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.56  80260[0:SpR:682.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.56  77903[0:Rew:1079.0,77846.1] || equal(u,v) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))*.
% 299.87/300.56  78904[0:SpR:5744.1,1059.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  78978[0:Rew:1059.0,78867.1] || equal(u,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))*.
% 299.87/300.56  79890[0:SpR:5744.1,1028.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  79848[0:SpR:5744.1,1028.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)))*.
% 299.87/300.56  80091[0:SpR:5744.1,1026.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)),u))*.
% 299.87/300.56  80692[0:SpL:5744.1,1032.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.56  80690[0:SpL:2135.1,1032.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.56  77861[0:SpR:5744.1,1079.0] || equal(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  80652[0:SpL:5744.1,1032.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))*.
% 299.87/300.56  80610[0:SpL:5744.1,1032.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.87/300.56  71998[0:SSi:71898.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))**.
% 299.87/300.56  71997[0:SSi:71903.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),hAPP(c_Nat_OSuc,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))))**.
% 299.87/300.56  78921[0:SpL:1059.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w,x).
% 299.87/300.56  78922[0:SpL:1059.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w,x).
% 299.87/300.56  1205[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.56  1214[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.56  79932[0:SpR:5744.1,1028.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)),u))*.
% 299.87/300.56  80011[0:SpR:5744.1,1026.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)))*.
% 299.87/300.56  80053[0:SpR:5744.1,1026.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))*.
% 299.87/300.56  79894[0:SpR:5744.1,1028.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)))*.
% 299.87/300.56  1703[0:Rew:219.0,1330.1,219.0,1330.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.56  77868[0:SpL:1079.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x).
% 299.87/300.56  77869[0:SpL:1079.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x).
% 299.87/300.56  77902[0:Rew:12933.0,77852.0,12933.0,77852.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))))**.
% 299.87/300.56  1702[0:Rew:219.0,1329.1,219.0,1329.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.56  47421[0:Res:3714.1,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)),u))* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),u).
% 299.87/300.56  47844[0:SpL:3757.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))).
% 299.87/300.56  47710[0:SpR:3757.0,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),u))))*.
% 299.87/300.56  47836[0:SpR:3703.0,3757.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))),w))**.
% 299.87/300.56  47837[0:SpR:3704.0,3757.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),w)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u))),w))**.
% 299.87/300.56  56450[0:SpL:484.2,834.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),x))*.
% 299.87/300.56  56821[0:SpR:484.2,833.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,x)))*.
% 299.87/300.56  79706[0:SpR:5744.1,1049.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))*.
% 299.87/300.56  79669[0:SpR:5744.1,1049.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)))*.
% 299.87/300.56  56803[0:SpR:484.2,833.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.56  56432[0:SpL:484.2,834.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,x)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))*.
% 299.87/300.56  79743[0:SpR:5744.1,1049.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)),u))*.
% 299.87/300.56  18914[0:SpL:448.2,492.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf33(v,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(v,skf33(v,c_Groups_Ouminus__class_Ouminus(u))),skf33(v,c_Groups_Ouminus__class_Ouminus(u)))** -> equal(c_Groups_Ouminus__class_Ouminus(u),v).
% 299.87/300.56  18954[0:SpL:448.2,492.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf33(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(v,skf33(c_Groups_Ouminus__class_Ouminus(u),v)),skf33(c_Groups_Ouminus__class_Ouminus(u),v))** -> equal(v,c_Groups_Ouminus__class_Ouminus(u)).
% 299.87/300.56  53540[0:Rew:2872.0,53495.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v)).
% 299.87/300.56  19303[0:SpR:2872.0,575.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))*.
% 299.87/300.56  66615[0:SpL:3723.1,51176.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))))*.
% 299.87/300.56  43659[0:SpR:418.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.56  71995[0:Rew:959.1,71923.3] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))*.
% 299.87/300.56  43639[0:SpR:9490.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w),skf50(skf64(v))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.56  43638[0:SpR:9489.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),hAPP(c_Nat_OSuc,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(v)),w,skf50(skf64(v))))*.
% 299.87/300.56  43661[0:SpR:414.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.56  66571[0:SpR:3723.1,747.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),c_Nat_Osemiring__1__class_Oof__nat(u,w))**.
% 299.87/300.56  76456[0:SpR:736.1,1004.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,c_Groups_Oone__class_Oone(u))),c_Nat_Osemiring__1__class_Oof__nat(u,w)),hAPP(c_Polynomial_Opoly(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w))))**.
% 299.87/300.56  66572[0:SpR:3723.1,748.2] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  66575[0:SpR:3723.1,752.2] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  66604[0:SpL:3723.1,749.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.56  66605[0:SpL:3723.1,751.1] class_Rings_Osemiring__1(u) class_Groups_Ogroup__add(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.56  43660[0:SpR:412.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.56  71993[0:Rew:959.1,71931.3] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  55571[0:Rew:852.1,55530.3] class_Nat_Osemiring__char__0(u) class_Rings_Osemiring__1(u) || equal(v,w) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),x)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),x)))*.
% 299.87/300.56  43572[0:SpR:503.2,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  43620[0:SpR:402.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  43621[0:SpR:401.1,739.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  43622[0:SpR:403.1,739.1] class_Rings_Omult__zero(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.56  43632[0:SpR:4392.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,w),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.56  43590[0:SpR:347.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w,v))*.
% 299.87/300.56  42435[0:SpL:736.1,464.1] class_Rings_Osemiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.87/300.56  43655[0:SpR:365.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),w,x))**.
% 299.87/300.56  43652[0:SpR:363.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,x))**.
% 299.87/300.56  43653[0:SpR:359.1,739.1] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,x))**.
% 299.87/300.56  43654[0:SpR:360.1,739.1] class_Groups_Ocomm__monoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),w,x))**.
% 299.87/300.56  43642[0:SpR:354.1,739.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,x))**.
% 299.87/300.56  43643[0:SpR:355.1,739.1] class_Groups_Omonoid__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,x))**.
% 299.87/300.56  43587[0:SpR:449.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  67739[15:SpR:67619.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,v)),w,c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.56  76507[15:SpR:76473.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,v)),w,c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.56  56727[0:Res:835.2,875.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),w))*.
% 299.87/300.56  56465[0:Res:579.1,834.1] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.56  77219[0:Res:3714.1,1928.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(v)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.56  52803[0:Res:1925.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.56  1930[0:Rew:1878.0,1887.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u)),v))*.
% 299.87/300.56  77399[0:SpL:5744.1,1898.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* -> .
% 299.87/300.56  77206[0:SpL:5744.1,1928.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))*.
% 299.87/300.56  77208[0:SpL:5744.1,1928.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.56  53719[0:SpL:477.2,1915.1] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))*.
% 299.87/300.56  53641[0:SpR:477.2,1914.2] class_Nat_Osemiring__char__0(u) class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.56  77424[0:MRR:77414.4,19818.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* -> .
% 299.87/300.56  77401[0:SpL:5744.1,1898.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* -> .
% 299.87/300.56  77232[0:MRR:77226.0,243.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.56  50664[0:SpL:742.0,1927.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,y))).
% 299.87/300.56  55657[0:SpR:837.1,1925.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))*.
% 299.87/300.56  72521[0:Rew:955.1,72429.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x),w)))*.
% 299.87/300.56  72518[0:Rew:955.1,72447.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),x)))*.
% 299.87/300.56  72359[0:Rew:956.1,72255.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)))*.
% 299.87/300.56  72356[0:Rew:956.1,72273.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))*.
% 299.87/300.56  72191[0:Rew:957.1,72076.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),w)))*.
% 299.87/300.56  72188[0:Rew:957.1,72094.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x)))*.
% 299.87/300.56  55730[0:Rew:837.1,55685.3] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,w) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),x)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),x)))*.
% 299.87/300.56  76940[0:SpR:413.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u),v)* SkP1(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u),v) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.56  43641[0:SpR:351.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),w,x))**.
% 299.87/300.56  76896[0:SpR:402.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u))* SkP1(c_Groups_Otimes__class_Otimes(u),v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  76928[0:SpR:406.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  1215[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)))*.
% 299.87/300.56  66984[0:SpR:10150.1,950.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Nat_Onat_Onat__case(tc_Nat_Onat,skf50(u),c_COMBI(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.56  29775[0:SpL:615.2,464.1] class_Rings_Oring__1__no__zero__divisors(u) class_Orderings_Owellorder(v) || equal(w,c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.56  29935[0:SpL:613.2,464.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.56  40985[0:SpL:699.2,464.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.56  30388[0:SpL:609.2,12641.0] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))*.
% 299.87/300.56  60999[0:Res:871.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf47(v)))* -> equal(hAPP(c_Nat_OSuc,u),skf47(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.56  61000[0:Res:740.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf47(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.56  66428[8:SpL:49088.0,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(u,skf62(c_Int_Onat,skf47(c_Int_Onat))).
% 299.87/300.56  66507[8:Rew:49088.0,66338.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u))* equal(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u).
% 299.87/300.56  66506[8:Rew:49088.0,66452.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) equal(u,c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.56  60310[0:Res:871.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(v)))* -> equal(hAPP(c_Nat_OSuc,u),skf57(v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.56  60311[0:Res:740.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.56  45184[0:Res:788.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w))*.
% 299.87/300.56  45989[0:Res:540.0,784.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u)).
% 299.87/300.56  52359[0:Res:871.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> equal(hAPP(c_Nat_OSuc,u),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.56  44719[0:Res:740.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.87/300.56  39317[0:SpL:616.2,383.0] class_Groups_Ozero(u) || equal(hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))),w)** hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x))*.
% 299.87/300.56  39275[0:SpL:617.2,383.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x))*.
% 299.87/300.56  39858[0:Res:694.1,383.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Int_Onat,skf47(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.56  49865[0:SpL:752.2,383.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.56  50007[0:SpL:748.2,383.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(u),v)))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.56  39319[0:SpL:616.2,12569.0] class_Groups_Ozero(u) || equal(skf57(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),w) hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),skf48(c_fequal(x))))*.
% 299.87/300.56  39277[0:SpL:617.2,12569.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf57(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),skf48(c_fequal(x))))*.
% 299.87/300.56  39860[0:Res:694.1,12569.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf57(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),skf48(c_fequal(v))))*.
% 299.87/300.56  49867[0:SpL:752.2,12569.0] class_Groups_Ogroup__add(u) || equal(skf57(hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(c_fequal(w))))*.
% 299.87/300.56  50009[0:SpL:748.2,12569.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(hAPP(c_Groups_Oplus__class_Oplus(u),v))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(c_fequal(w))))*.
% 299.87/300.56  50534[0:Res:779.2,12569.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf57(c_Orderings_Oord__class_Oless(u,v))))* -> equal(skf57(c_Orderings_Oord__class_Oless(u,v)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf48(c_fequal(w))))*.
% 299.87/300.56  50443[0:Res:776.2,12569.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf57(c_Orderings_Oord__class_Oless(u,v))))* -> equal(skf57(c_Orderings_Oord__class_Oless(u,v)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),skf48(c_fequal(w))))*.
% 299.87/300.56  72891[0:SpL:999.1,700.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  72615[0:SpL:1659.1,700.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  59137[0:MRR:59126.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)),w)),skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  59090[0:SpL:15222.0,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(v,hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(c_Int_Onat__aux(v,w),x)),c_Int_Onat__aux(v,w)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  77095[0:MRR:76794.3,2780.1] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(hAPP(c_Power_Opower__class_Opower(u),w),v,x)* -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 299.87/300.56  71366[0:SpL:997.1,700.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  71095[0:SpL:1660.1,700.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  77747[0:Rew:682.0,77711.1] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,u)).
% 299.87/300.56  55249[0:Res:891.2,632.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),u).
% 299.87/300.56  41383[0:Res:1649.2,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.56  44163[0:Rew:742.0,44132.1] || hBOOL(hAPP(hAPP(u,v),hAPP(w,v)))* -> hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.56  77695[0:SpL:5744.1,1012.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,v).
% 299.87/300.56  77700[0:SpL:5744.1,1012.0] || equal(u,v)* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,w).
% 299.87/300.56  29238[0:SpL:618.2,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w)))* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w))*.
% 299.87/300.56  29284[0:SpL:683.2,12641.0] class_Power_Opower(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w))*.
% 299.87/300.56  52077[0:SpL:9487.0,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),hAPP(c_Nat_OSuc,v)))* -> equal(skf50(skf64(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,skf50(skf64(u)))),skf50(skf64(u))).
% 299.87/300.56  41094[0:SpL:690.2,12569.0] class_Rings_Ocomm__semiring__1(u) || equal(skf57(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf48(c_fequal(v))))*.
% 299.87/300.56  41092[0:SpL:690.2,383.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))*.
% 299.87/300.56  76648[0:SpR:283.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),u,v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.56  75071[0:Res:29832.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.87/300.56  41738[0:Res:16181.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  74949[0:Res:29814.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.56  41677[0:Res:16179.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.87/300.56  41365[0:Res:1649.2,467.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) equal(hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v))),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.56  41366[0:Res:1649.2,469.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) equal(hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v))),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.56  47578[0:Res:428.2,805.1] class_Orderings_Oorder(u) || equal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.56  47579[0:Res:1639.2,805.1] class_Orderings_Olinorder(u) || equal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.56  41609[0:SpL:558.2,735.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.56  41610[0:SpL:556.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.56  41598[0:SpL:555.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.56  41784[0:Res:694.1,735.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.56  47571[0:Res:16882.1,805.1] || equal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.56  71728[0:SpL:997.1,24466.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  71729[0:SpL:1660.1,24466.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  41541[0:SpL:597.2,735.0] class_Groups_Ogroup__add(u) || equal(v,w)* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.56  41542[0:SpL:598.2,735.0] class_Groups_Oab__group__add(u) || equal(v,w)* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.56  43253[0:Res:725.2,735.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.56  43146[0:Res:724.2,735.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* equal(w,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.56  71680[0:SpL:1686.1,24466.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  41607[0:SpL:595.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.56  41572[0:SpL:594.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.56  41557[0:SpL:444.1,735.0] class_Groups_Ocomm__monoid__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.56  42782[0:SpL:686.1,464.1] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,x),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,x))))*.
% 299.87/300.56  43688[0:SpR:3736.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  43634[0:SpR:6938.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  43630[0:SpR:319.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower_Opower(v,w,x),y),hAPP(c_Nat_OSuc,z),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower_Opower(v,w,x),y),z,w))*.
% 299.87/300.56  43623[0:SpR:409.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),x,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  43624[0:SpR:411.1,739.1] class_Power_Opower(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),w),x,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.56  44008[0:SpR:593.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),z),v),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(z,v)))**.
% 299.87/300.56  43876[0:SpR:593.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  48226[0:Res:12638.1,28826.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  48206[0:Res:12638.1,38533.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  48205[0:Res:12638.1,38532.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf60(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  72104[0:SpL:957.1,700.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  52095[4:Res:41857.1,863.0] ||  -> hBOOL(hAPP(c_Nat_OSuc,u)) equal(skf55(hAPP(c_Nat_OSuc,u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(u,skf55(hAPP(c_Nat_OSuc,u),v))),skf55(hAPP(c_Nat_OSuc,u),v))**.
% 299.87/300.56  54522[0:SpL:890.3,50956.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf46(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  56185[0:Res:12638.1,55085.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  56522[0:Res:12638.1,55301.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  56583[0:Res:12638.1,55613.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  56674[0:Res:12638.1,55634.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf49(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)))),u))),u)**.
% 299.87/300.56  71679[0:SpL:1685.1,24466.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.56  80170[4:SpL:2543.1,52537.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf48(c_fNot)) -> .
% 299.87/300.56  80152[4:SpL:2543.1,52530.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf46(c_Int_Onat)) -> .
% 299.87/300.56  79591[2:Res:1649.2,52038.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.56  79405[2:SpL:2543.1,51891.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.87/300.56  79387[0:SpL:2543.1,51610.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_Int_Onat))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf46(c_Int_Onat)) -> .
% 299.87/300.56  77270[0:SpL:2543.1,38551.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* -> .
% 299.87/300.56  74870[0:SpL:2543.1,28830.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* -> .
% 299.87/300.56  73419[0:SpL:2543.1,27439.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))),skf47(c_Int_Onat))** hBOOL(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> .
% 299.87/300.56  66833[0:SpL:2543.1,6541.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf60(c_Int_Onat)) -> .
% 299.87/300.56  66834[3:SpL:2543.1,6580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf47(c_fNot)) -> .
% 299.87/300.56  66835[0:SpL:2543.1,6799.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_Int_Onat))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf48(c_fNot)) -> .
% 299.87/300.56  66836[4:SpL:2543.1,8779.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> .
% 299.87/300.56  66837[2:SpL:2543.1,9272.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.87/300.56  53148[0:Res:874.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)).
% 299.87/300.56  51374[0:Res:12816.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.56  12717[0:Rew:12519.0,1202.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(v)))).
% 299.87/300.56  12716[0:Rew:12519.0,1201.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(v)))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.56  1203[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))**.
% 299.87/300.56  1209[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v))* -> equal(u,v).
% 299.87/300.56  52018[0:SpR:484.2,831.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.56  51562[0:SpL:484.2,832.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.56  80576[2:Res:1649.2,53848.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.56  68083[0:Rew:219.0,68042.3] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.56  67146[0:SpL:742.0,966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),y),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.56  77591[0:SpL:5744.1,1030.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),u))* -> .
% 299.87/300.56  77589[0:SpL:5744.1,1030.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w))* -> .
% 299.87/300.56  53923[0:SpL:484.2,826.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.56  53821[0:SpR:484.2,825.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.56  45747[0:Res:540.0,820.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.56  53360[0:Res:12637.0,12546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** equal(skf48(c_fequal(skf64(hAPP(c_Int_Onat,u)))),hAPP(c_Int_Onat,u)).
% 299.87/300.56  56802[0:SpR:488.2,833.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  56820[0:SpR:488.2,833.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.56  56701[0:SpR:488.2,835.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  56719[0:SpR:488.2,835.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.56  56431[0:SpL:488.2,834.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))*.
% 299.87/300.56  56449[0:SpL:488.2,834.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))*.
% 299.87/300.56  56288[0:SpL:488.2,836.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.56  56306[0:SpL:488.2,836.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.56  55684[0:SpR:488.2,837.1] class_Int_Oring__char__0(u) class_Rings_Oring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.56  53306[0:SpR:553.1,12637.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.56  53367[0:Res:12637.0,583.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.56  53368[0:Res:12637.0,584.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.56  53383[0:Res:12637.0,568.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))),v)** equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  53379[0:Res:12637.0,1907.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))),u)** equal(hAPP(c_Nat_OSuc,skf50(hAPP(c_Int_Onat,u))),hAPP(c_Int_Onat,u)).
% 299.87/300.56  53405[0:Res:12637.0,1629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))).
% 299.87/300.56  51914[0:SpR:484.2,827.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  51717[0:SpL:484.2,828.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  51811[0:SpR:484.2,829.2] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  51646[0:SpL:484.2,830.1] class_Int_Oring__char__0(u) class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  69288[0:SpR:19349.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),w))**.
% 299.87/300.56  52358[0:Res:871.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(hAPP(c_Nat_OSuc,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.56  44505[0:Res:740.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.87/300.56  76649[0:SpR:1618.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),u,v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.56  53338[0:SpR:742.0,12637.0] ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Int_Onat),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(x,y),y))),y)**.
% 299.87/300.56  48471[0:SpL:744.2,12569.0] class_Rings_Oidom(u) || equal(skf57(hAPP(c_Polynomial_Osmult(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf48(c_fequal(w))))*.
% 299.87/300.56  48469[0:SpL:744.2,383.0] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,skf47(hAPP(c_Polynomial_Osmult(u),v))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),w))*.
% 299.87/300.56  153730[2:Res:1649.2,80546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.56  158167[8:SpL:2543.1,69452.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf47(c_Int_Onat)) -> .
% 299.87/300.56  158160[0:SpL:2543.1,6276.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** hBOOL(hAPP(c_Int_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> .
% 299.87/300.56  158670[18:SpL:2543.1,111855.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> .
% 299.87/300.56  159570[19:SpL:2543.1,131464.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fNot))** equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> .
% 299.87/300.56  161205[2:Res:1649.2,153797.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.56  161318[4:SpL:2543.1,155015.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf47(c_Int_Onat)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> .
% 299.87/300.56  161337[0:SpL:2543.1,155020.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(c_Int_Onat)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> .
% 299.87/300.56  161356[4:SpL:2543.1,155025.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf49(c_fNot)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Int_Onat))** -> .
% 299.87/300.56  168414[0:SpL:5744.1,1031.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.87/300.56  168412[0:SpL:2135.1,1031.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.56  168373[0:SpL:5744.1,1031.0] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.56  168371[0:SpL:5744.1,1031.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))*.
% 299.87/300.56  168330[0:SpL:5744.1,1031.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.56  169113[26:SpR:2543.1,162097.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf47(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)))** -> hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.56  169777[0:Res:3714.1,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w)).
% 299.87/300.56  169774[0:SpL:5744.1,1053.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),x))*.
% 299.87/300.56  169772[0:SpL:5744.1,1053.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),x))*.
% 299.87/300.56  169796[0:MRR:169787.0,243.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u))),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))*.
% 299.87/300.56  170032[0:SpL:10145.1,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),w)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),w)*.
% 299.87/300.56  170031[0:SpL:10145.1,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),w)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),w)*.
% 299.87/300.56  170018[0:SpL:10145.1,620.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),u) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.56  170008[0:SpR:5744.1,10145.1] || equal(u,v) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))**.
% 299.87/300.56  169950[0:SpR:10145.1,5744.1] || equal(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))*.
% 299.87/300.56  170212[0:SpR:5744.1,1913.2] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),v))*.
% 299.87/300.56  170210[0:SpR:5744.1,1913.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)))*.
% 299.87/300.56  170191[0:SpR:5744.1,1913.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),v)))*.
% 299.87/300.56  170289[0:SpL:5744.1,1007.1] || equal(u,skf68(v,w,x))* hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.56  170447[0:MRR:170364.0,287.1] hBOOL(skf68(hAPP(c_fconj,u),v,w)) || hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.56  170505[0:MRR:170504.4,170495.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.56  170677[0:SpL:5744.1,1010.1] || equal(u,skf67(v,w,x))* hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.56  170837[0:MRR:170752.0,287.1] hBOOL(skf67(hAPP(c_fconj,u),v,w)) || hBOOL(hAPP(hAPP(c_fconj,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.56  170986[0:Res:1085.2,653.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  170985[0:Res:1085.2,655.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  170983[0:SpR:5744.1,1085.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),v))*.
% 299.87/300.56  170954[0:SpR:5744.1,1085.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  170952[0:SpR:5744.1,1085.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171018[0:SSi:170990.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),v))*.
% 299.87/300.56  171112[0:Res:1036.2,644.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  171108[0:Res:1036.2,647.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  171107[0:Res:1036.2,648.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  171106[0:SpR:5744.1,1036.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),v))*.
% 299.87/300.56  171075[0:SpR:5744.1,1036.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171073[0:SpR:5744.1,1036.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171233[0:Res:1038.2,644.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  171229[0:Res:1038.2,647.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  171228[0:Res:1038.2,648.1] class_Rings_Olinordered__idom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> .
% 299.87/300.56  171227[0:SpR:5744.1,1038.2] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),v))*.
% 299.87/300.56  171196[0:SpR:5744.1,1038.2] class_Rings_Olinordered__idom(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171194[0:SpR:5744.1,1038.2] class_Rings_Olinordered__idom(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.56  171402[0:SpL:5744.1,1086.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171373[0:SpL:5744.1,1086.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171371[0:SpL:5744.1,1086.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171439[0:Rew:3728.0,171369.2] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),v)),skf50(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.56  171516[0:SpL:5744.1,1037.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171485[0:SpL:5744.1,1037.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171483[0:SpL:5744.1,1037.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171634[0:SpL:5744.1,1039.1] class_Rings_Olinordered__idom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171603[0:SpL:5744.1,1039.1] class_Rings_Olinordered__idom(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171601[0:SpL:5744.1,1039.1] class_Rings_Olinordered__idom(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.56  171745[0:Res:1080.2,653.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Oone__class_Oone(u)))* -> .
% 299.87/300.56  171744[0:Res:1080.2,655.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Oone__class_Oone(u)))* -> .
% 299.87/300.56  171742[0:SpR:5744.1,1080.2] class_Rings_Olinordered__semidom(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.56  171720[0:SpR:5744.1,1080.2] class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.56  171775[0:SSi:171749.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),w)).
% 299.87/300.56  171918[0:Res:1077.2,653.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  171917[0:Res:1077.2,655.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  171915[0:SpR:5744.1,1077.2] class_Rings_Olinordered__semidom(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  171892[0:SpR:5744.1,1077.2] class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.56  172128[0:Res:1035.2,644.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  172124[0:Res:1035.2,647.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  172123[0:Res:1035.2,648.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  172122[0:SpR:5744.1,1035.2] class_Rings_Olinordered__semidom(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  172096[0:SpR:5744.1,1035.2] class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.56  172172[0:SSi:172171.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.56  172268[0:SpL:1093.1,333.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))* -> SkP1(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x).
% 299.87/300.56  172267[0:SpL:1093.1,334.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))* -> SkP2(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x).
% 299.87/300.56  172255[0:SpL:1093.1,464.1] class_Rings_Ocomm__ring(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Orderings_Oord__class_OLeast(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)))))*.
% 299.87/300.56  172206[0:SpR:1093.1,5744.1] class_Rings_Ocomm__ring(u) || equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.56  172329[0:SpL:1683.1,333.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))* -> SkP1(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),x).
% 299.87/300.56  172328[0:SpL:1683.1,334.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))* -> SkP2(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),x).
% 299.87/300.56  172327[0:SpL:1683.1,384.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_Osmult(u),v)))))*.
% 299.87/300.56  172315[0:SpR:308.1,1683.1] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  172314[0:SpR:20457.1,1683.1] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  172313[0:SpR:49304.1,1683.1] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  172312[0:SpR:71409.1,1683.1] class_RealVector_Oreal__normed__algebra(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.56  172290[0:SpR:1683.1,5744.1] class_Rings_Ocomm__ring(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w),hAPP(hAPP(c_Polynomial_Osmult(u),x),v))*.
% 299.87/300.56  172505[0:SpL:1064.1,333.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)*.
% 299.87/300.56  172504[0:SpL:1064.1,334.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)*.
% 299.87/300.56  172479[0:SpR:5744.1,1064.1] class_Power_Opower(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  172436[0:SpR:1064.1,609.2] class_Power_Opower(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  172410[0:SpR:1064.1,5744.1] class_Power_Opower(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))*.
% 299.87/300.56  172710[0:SpL:1689.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)*.
% 299.87/300.56  172709[0:SpL:1689.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)*.
% 299.87/300.56  172684[0:SpR:5744.1,1689.1] class_Groups_Omonoid__mult(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  172640[0:SpR:1689.1,609.2] class_Groups_Omonoid__mult(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  172614[0:SpR:1689.1,5744.1] class_Groups_Omonoid__mult(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))*.
% 299.87/300.56  172936[0:SpL:1065.1,333.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),v,x)*.
% 299.87/300.56  172935[0:SpL:1065.1,334.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),v,x)*.
% 299.87/300.56  172912[0:SpR:5744.1,1065.1] class_Groups_Omonoid__mult(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.56  172889[0:SpR:5744.1,1065.1] class_Groups_Omonoid__mult(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  172986[0:Rew:3667.1,172858.2] class_Groups_Omonoid__mult(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.56  173225[0:SpL:1091.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),w))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v,w)*.
% 299.87/300.56  173224[0:SpL:1091.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),w))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v,w)*.
% 299.87/300.56  173194[0:SpL:1091.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),w))* -> SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w)*.
% 299.87/300.56  173193[0:SpL:1091.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),w))* -> SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w)*.
% 299.87/300.56  173183[0:SpL:1091.1,612.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.56  173172[0:SpR:5744.1,1091.1] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.56  173162[0:SpR:5744.1,1091.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),v)),w))*.
% 299.87/300.56  173160[0:SpR:5744.1,1091.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),w))*.
% 299.87/300.56  173158[0:SpR:5744.1,1091.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w))*.
% 299.87/300.56  173118[0:SpR:1091.1,608.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  173096[0:SpR:1091.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))*.
% 299.87/300.56  173054[0:SpR:1091.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))*.
% 299.87/300.56  173598[0:SpL:5744.1,1084.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.56  173567[0:SpL:5744.1,1084.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.56  173565[0:SpL:5744.1,1084.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.56  173791[0:Res:1083.2,653.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  173790[0:Res:1083.2,655.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  173788[0:SpR:5744.1,1083.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  173757[0:SpR:5744.1,1083.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.56  173755[0:SpR:5744.1,1083.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 299.87/300.56  173822[0:SSi:173796.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.56  174067[0:SpL:5744.1,1041.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.56  174033[0:SpL:5744.1,1041.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.56  174031[0:SpL:5744.1,1041.1] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.56  174228[0:Res:1040.2,644.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  174224[0:Res:1040.2,647.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  174223[0:Res:1040.2,648.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.56  174219[0:SpR:5744.1,1040.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.56  174185[0:SpR:5744.1,1040.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.56  174183[0:SpR:5744.1,1040.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 299.87/300.56  174351[0:SpL:5744.1,1094.1] class_Rings_Oidom(u) || equal(v,w)* equal(hAPP(hAPP(c_Polynomial_Osmult(u),x),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(x,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))*.
% 299.87/300.56  174349[0:SpL:5744.1,1094.1] class_Rings_Oidom(u) || equal(v,w)* equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(u))* equal(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.56  174522[4:Res:61109.1,1006.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174501[4:Res:42157.0,1006.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174416[0:SpL:5744.1,1006.0] || equal(u,skf68(v,w,x))* hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.56  174851[4:Res:61109.1,1009.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v,w),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174830[4:Res:42157.0,1009.0] ||  -> SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.56  174745[0:SpL:5744.1,1009.0] || equal(u,skf67(v,w,x))* hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.56  174957[0:SpR:172506.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  175070[0:SpR:5744.1,1087.2] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),v))*.
% 299.87/300.56  175068[0:SpR:5744.1,1087.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)))*.
% 299.87/300.56  175011[0:SpR:5744.1,1087.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),y)))*.
% 299.87/300.56  175321[0:SpR:5744.1,1088.2] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),v))*.
% 299.87/300.56  175319[0:SpR:5744.1,1088.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x)))*.
% 299.87/300.56  175264[0:SpR:5744.1,1088.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),v)))*.
% 299.87/300.56  175486[0:SpR:172507.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v),hAPP(c_Nat_OSuc,w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  175581[0:SpL:5744.1,1089.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))*.
% 299.87/300.56  175579[0:SpL:5744.1,1089.1] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),y))*.
% 299.87/300.56  175522[0:SpL:5744.1,1089.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),y))*.
% 299.87/300.56  175863[0:SpL:5744.1,1090.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),w))*.
% 299.87/300.56  175861[0:SpL:5744.1,1090.1] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),y))*.
% 299.87/300.56  175806[0:SpL:5744.1,1090.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),y))*.
% 299.87/300.56  176303[0:Res:150.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.56  176593[0:Res:659.1,1051.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.56  176558[0:SpL:5744.1,1051.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y))*.
% 299.87/300.56  176749[0:SSi:176675.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(v,hAPP(c_Int_Onat,w)))* equal(skf48(c_fequal(skf62(v,w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.56  176808[0:SpL:5744.1,1043.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y))*.
% 299.87/300.56  177061[0:SSi:176817.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)).
% 299.87/300.56  62122[2:Res:51947.1,805.1] || equal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),u)** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.56  176390[2:Res:150015.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(c_Int_Onat,skf48(c_fNot)))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.56  176391[10:Res:39951.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.56  177202[0:Res:659.1,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.56  177167[0:SpL:5744.1,1045.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y))*.
% 299.87/300.56  177365[0:SSi:177283.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(v,hAPP(c_Int_Onat,w)))* equal(skf48(c_fequal(skf62(v,w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u))*.
% 299.87/300.56  177366[0:SSi:177254.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.87/300.56  177376[0:SpL:5744.1,1063.1] class_Orderings_Oorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y))*.
% 299.87/300.56  177630[0:Res:659.1,1050.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.56  177595[0:SpL:5744.1,1050.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),w))*.
% 299.87/300.56  177782[0:SSi:177711.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(w,hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(w,v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  177822[0:SpL:5744.1,1062.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),w))*.
% 299.87/300.56  178109[0:SSi:177913.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))*.
% 299.87/300.56  178110[0:SSi:177831.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w)))*.
% 299.87/300.56  178190[0:Res:659.1,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.56  178155[0:SpL:5744.1,1044.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),w))*.
% 299.87/300.56  178348[0:SSi:178271.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(w,hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(w,v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.56  178349[0:SSi:178242.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,u)))* -> equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.56  178387[0:SpL:5744.1,1042.1] class_Orderings_Opreorder(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),w))*.
% 299.87/300.56  178631[0:SSi:178478.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))*.
% 299.87/300.56  178632[0:SSi:178396.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w)))*.
% 299.87/300.56  179027[0:SpL:1092.2,333.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x)*.
% 299.87/300.56  179026[0:SpL:1092.2,334.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x)*.
% 299.87/300.56  178989[0:SpL:1092.2,333.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),x))* -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,x)*.
% 299.87/300.56  178988[0:SpL:1092.2,334.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),x))* -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,x)*.
% 299.87/300.56  178960[0:SpR:5744.1,1092.2] class_Rings_Oidom(u) || equal(v,w) equal(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.56  178958[0:SpR:5744.1,1092.2] class_Rings_Oidom(u) || equal(v,w) equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))*.
% 299.87/300.56  178870[0:SpR:1092.2,5744.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) equal(x,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))*.
% 299.87/300.56  178782[0:SpR:1092.2,5744.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) equal(x,v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))*.
% 299.87/300.56  179063[0:SSi:178919.1,129.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),w)))*.
% 299.87/300.56  179065[0:SSi:179064.1,136.1] class_Rings_Oidom(u) || equal(v,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w)))*.
% 299.87/300.56  179066[0:Obv:178915.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(x,w)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 299.87/300.56  179068[0:SSi:178831.1,129.1] class_Rings_Oidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)))*.
% 299.87/300.56  179069[0:SSi:178830.1,136.1] class_Rings_Oidom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))*.
% 299.87/300.56  179070[0:Obv:178827.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(x,v)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))*.
% 299.87/300.56  179287[0:SpL:1082.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x),y)) -> SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w),y)*.
% 299.87/300.56  179286[0:SpL:1082.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x),y)) -> SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w),y)*.
% 299.87/300.56  179193[0:SpR:1082.1,609.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,w)),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  179157[0:SpR:1082.1,5744.1] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,x)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),v))*.
% 299.87/300.56  179333[0:Rew:179331.0,172982.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w))),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,hAPP(c_Nat_OSuc,w))),u))**.
% 299.87/300.56  179336[0:Rew:179335.0,172980.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.56  179338[0:Rew:179335.0,172977.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.56  179339[0:Rew:179335.0,172978.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,v)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.56  179341[0:Rew:179335.0,172987.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),u)))*.
% 299.87/300.56  179386[0:SSi:179385.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 299.87/300.56  179392[0:SSi:179391.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),v)))**.
% 299.87/300.56  179396[0:SSi:179395.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,x,v)),w)))**.
% 299.87/300.56  179398[0:SSi:179397.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),x)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),x)))*.
% 299.87/300.56  179400[0:SSi:179399.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,v)),w)))**.
% 299.87/300.56  179402[0:SSi:179401.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),x)))**.
% 299.87/300.56  179404[0:SSi:179403.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)),x)))**.
% 299.87/300.56  179926[0:SpL:1075.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y)),z)) -> SkP1(hAPP(w,x),hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y),z)*.
% 299.87/300.56  179925[0:SpL:1075.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y)),z)) -> SkP2(hAPP(w,x),hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y),z)*.
% 299.87/300.56  179905[0:SpL:1075.0,966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.56  179897[0:SpL:1075.0,462.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.56  179846[0:SpR:9370.1,1075.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),skf50(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),skf50(u)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.56  179641[0:SpR:2169.1,1075.0] || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  179640[2:SpR:63796.1,1075.0] || equal(u,skf49(c_fNot)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  179639[0:SpR:2170.1,1075.0] || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),u) -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  179637[0:SpR:5744.1,1075.0] || equal(u,v) -> equal(hAPP(hAPP(w,u),hAPP(hAPP(c_Power_Opower_Opower(x,y,w),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,w),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.56  179621[0:SpR:2117.1,1075.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.56  179522[0:SpR:1075.0,458.1] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.56  179486[0:SpR:1075.0,491.1] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.56  179469[0:SpR:1075.0,5744.1] || equal(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,x),y),z)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,x),y),hAPP(c_Nat_OSuc,z)),hAPP(hAPP(x,y),u))*.
% 299.87/300.56  180219[0:SSi:180153.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))**.
% 299.87/300.56  180310[0:Rew:1878.0,180287.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf44(v,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))*.
% 299.87/300.56  180875[0:SSi:180864.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.56  180881[0:SSi:180880.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.56  181463[0:SpL:1098.1,596.1] class_Groups_Ominus(u) class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(w,y),hAPP(x,y)).
% 299.87/300.56  181462[0:SpL:1098.1,599.1] class_Groups_Ominus(u) class_Groups_Oab__group__add(u) || equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(w,y),hAPP(x,y)).
% 299.87/300.56  181432[0:SpR:9368.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_OSuc),w),skf50(skf64(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf64(x)),hAPP(w,skf50(skf64(x)))))*.
% 299.87/300.56  181416[0:SpR:26576.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(w,x)))**.
% 299.87/300.56  181389[0:SpR:170043.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w)),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.56  181377[0:SpR:273.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w)),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.56  181376[0:SpR:263.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w)),x),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.56  181375[0:SpR:19381.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w)),x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.87/300.56  181373[0:SpR:284.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.56  181340[0:SpR:108628.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(w,x)))**.
% 299.87/300.56  181336[0:SpR:293.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,x)))**.
% 299.87/300.56  181325[0:SpR:267.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w)),x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.87/300.56  181291[0:SpR:307.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,x)))**.
% 299.87/300.56  181235[0:SpR:274.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_Onat_Onat__case(w,x,y)),z),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(z,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.56  181231[8:SpR:49081.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),skf47(c_Int_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(w,skf47(c_Int_Onat))))*.
% 299.87/300.56  181207[0:SpR:1607.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(w,x)))**.
% 299.87/300.56  181198[0:SpR:9368.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_OSuc),skf50(skf64(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf50(skf64(x)))),skf64(x)))*.
% 299.87/300.56  181182[0:SpR:26576.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Oone__class_Oone(tc_Int_Oint)))**.
% 299.87/300.56  181155[0:SpR:170043.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),x))**.
% 299.87/300.56  181143[0:SpR:273.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),x))**.
% 299.87/300.56  181142[0:SpR:263.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Int_Oint))),x))**.
% 299.87/300.56  181141[0:SpR:19381.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x))**.
% 299.87/300.56  181139[0:SpR:284.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x))**.
% 299.87/300.56  181106[0:SpR:108628.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.56  181102[0:SpR:293.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  181091[0:SpR:267.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x))**.
% 299.87/300.56  181057[0:SpR:307.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.56  181001[0:SpR:274.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_Onat_Onat__case(x,y,z)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),y))**.
% 299.87/300.56  180997[8:SpR:49081.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),skf47(c_Int_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf47(c_Int_Onat))),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.56  180973[0:SpR:1607.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.56  180914[0:SpR:1098.1,595.1] class_Groups_Ominus(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y)),hAPP(x,y)),hAPP(w,y))**.
% 299.87/300.56  180913[0:SpR:1098.1,598.2] class_Groups_Ominus(u) class_Groups_Oab__group__add(u) || equal(hAPP(v,w),hAPP(x,w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  180912[0:SpR:1098.1,597.2] class_Groups_Ominus(u) class_Groups_Ogroup__add(u) || equal(hAPP(v,w),hAPP(x,w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.56  181494[0:SSi:181470.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Int_Oint)),v),w),x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(v,x)),hAPP(w,x)))*.
% 299.87/300.57  181495[0:SSi:180930.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,tc_Nat_Onat)),u),c_Nat_OSuc),v)),hAPP(u,v)))*.
% 299.87/300.57  181496[0:SSi:180928.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),v))* -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,tc_Nat_Onat)),c_Nat_OSuc),u),v),hAPP(c_Nat_OSuc,skf44(hAPP(u,v),v)))*.
% 299.87/300.57  181497[0:SSi:180926.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(u,v)),hAPP(w,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,tc_Int_Oint)),u),w),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.57  181594[0:SSi:181524.0,122.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  181747[0:SSi:181706.1,122.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,v),x)),hAPP(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),x))**.
% 299.87/300.57  182637[0:SpL:18711.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> SkP0(w,u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.57  182738[0:SpR:8586.1,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.57  182734[0:SpR:18711.1,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(w,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.57  182912[0:Rew:1878.0,182861.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> SkP0(w,u)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  182850[8:SpR:49081.0,1134.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(c_Int_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.57  182941[0:MRR:182901.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,v),w)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  182954[0:SpR:179303.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,v,w)),x,v))*.
% 299.87/300.57  183047[0:Res:12714.2,529.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)).
% 299.87/300.57  183240[0:SpR:183186.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  183239[0:SpR:183186.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,x)))**.
% 299.87/300.57  183351[0:SpR:18711.1,1129.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> SkP0(v,u)* equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w))**.
% 299.87/300.57  183477[0:SpR:179307.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),hAPP(c_Nat_OSuc,x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),x,v))*.
% 299.87/300.57  183615[0:SpR:3614.0,1136.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.57  184018[0:SSi:183958.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,w)),x))))*.
% 299.87/300.57  184019[0:SSi:183955.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.57  184277[0:SSi:184226.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,w)),x))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.57  184278[0:SSi:184223.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,w)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.57  184562[0:SSi:184561.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)))*.
% 299.87/300.57  184570[0:SSi:184569.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)),c_Int_Onat__aux(skf48(c_fequal(v)),v)))*.
% 299.87/300.57  184680[0:SpR:184630.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  184679[0:SpR:184630.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(w,x)))**.
% 299.87/300.57  185009[8:SpL:48262.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),c_Int_Onat__aux(skf47(c_Int_Onat),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.57  184968[8:SpL:48262.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf47(c_Int_Onat),v),c_Int_Onat__aux(skf48(c_fequal(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),w))*.
% 299.87/300.57  185332[0:SpR:3654.0,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,hAPP(c_Int_Onat,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,w)),u))**.
% 299.87/300.57  185491[0:SpR:3632.0,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,v))) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,hAPP(c_Int_Onat,v)))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(v,w)),u))**.
% 299.87/300.57  185624[0:SpR:15222.0,1131.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,x)))))*.
% 299.87/300.57  185623[0:SpR:9370.1,1131.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.87/300.57  186067[2:Res:51888.0,3663.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  186066[0:Res:16875.0,3663.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  186129[2:MRR:185948.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  186136[0:SSi:186135.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(u) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.57  186482[2:Res:51888.0,3661.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  186481[0:Res:16875.0,3661.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  186544[2:MRR:186363.0,4367.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  186551[0:SSi:186550.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(u) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.57  186857[0:SSi:186819.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w))))* -> hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.57  186858[0:Rew:815.1,186706.2] class_Rings_Ocomm__ring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))))*.
% 299.87/300.57  186898[0:SpR:495.1,1124.3] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf37(u,v)))* equal(skf36(u,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,v).
% 299.87/300.57  187166[0:SSi:187085.0,126.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.87/300.57  187168[0:SSi:187024.0,126.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.57  187432[0:SSi:187343.0,138.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.87/300.57  187435[0:SSi:187282.0,138.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.57  188070[0:Res:3664.0,25382.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188069[0:Res:3664.0,25381.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188066[0:Res:3664.0,326.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188062[0:Res:3664.0,25507.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188060[0:Res:3664.0,3629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w)),v,u)),u)**.
% 299.87/300.57  188054[0:Res:3664.0,9619.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.57  188042[0:Res:3664.0,25570.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188041[0:Res:3664.0,11888.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188039[0:Res:3664.0,327.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188010[0:Res:3664.0,21175.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v,u)),u)** SkP1(x,w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188003[0:Res:3664.0,9621.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.57  188001[0:Res:3664.0,331.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.57  187999[0:Res:3664.0,336.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)**.
% 299.87/300.57  187997[0:Res:3664.0,9638.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)** SkP1(x,w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  187953[0:Res:3664.0,333.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(w,x),v,u)),u)** SkP1(w,x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.57  187952[0:Res:3664.0,334.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(w,x),v,u)),u)** SkP2(w,x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.57  187904[4:SpR:3664.2,24689.1] || equal(skf68(u,v,w),x)* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x,w)*.
% 299.87/300.57  187891[0:SpR:3664.2,22821.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) SkP1(x,hAPP(c_Nat_OSuc,skf68(u,skf64(w),v)),v)*.
% 299.87/300.57  187885[4:SpR:3664.2,22963.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf68(u,skf64(w),v),skf50(v))*.
% 299.87/300.57  187884[0:SpR:3664.2,11296.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf68(u,skf64(w),v)),v))*.
% 299.87/300.57  187873[0:SpR:3664.2,6936.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf68(u,w,v)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  187787[0:SpR:272.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  187762[0:SpR:442.1,3664.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.57  188108[0:Rew:42265.1,187926.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(skf68(v,w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  188109[0:Rew:42225.3,187924.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf68(v,w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.57  188643[0:Res:3662.0,25382.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188642[0:Res:3662.0,25381.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188639[0:Res:3662.0,326.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188635[0:Res:3662.0,25507.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188633[0:Res:3662.0,3629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w)),v,u)),u)**.
% 299.87/300.57  188627[0:Res:3662.0,9619.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.57  188615[0:Res:3662.0,25570.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188614[0:Res:3662.0,11888.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** SkP0(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188612[0:Res:3662.0,327.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** SkP0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)*.
% 299.87/300.57  188583[0:Res:3662.0,21175.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v,u)),u)** SkP1(x,w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188576[0:Res:3662.0,9621.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(w,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),v,u)),u)**.
% 299.87/300.57  188574[0:Res:3662.0,331.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.57  188572[0:Res:3662.0,336.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)**.
% 299.87/300.57  188570[0:Res:3662.0,9638.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)** SkP1(x,w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  188526[0:Res:3662.0,333.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(w,x),v,u)),u)** SkP1(w,x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.57  188525[0:Res:3662.0,334.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(w,x),v,u)),u)** SkP2(w,x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.57  188477[4:SpR:3662.2,24689.1] || equal(skf67(u,v,w),x)* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x,w)*.
% 299.87/300.57  188464[0:SpR:3662.2,22821.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) SkP1(x,hAPP(c_Nat_OSuc,skf67(u,skf64(w),v)),v)*.
% 299.87/300.57  188458[4:SpR:3662.2,22963.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf67(u,skf64(w),v),skf50(v))*.
% 299.87/300.57  188457[0:SpR:3662.2,11296.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf64(w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf64(w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf67(u,skf64(w),v)),v))*.
% 299.87/300.57  188446[0:SpR:3662.2,6936.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf67(u,w,v)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  188360[0:SpR:272.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)),u)**.
% 299.87/300.57  188335[0:SpR:442.1,3662.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.57  188681[0:Rew:42265.1,188499.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(skf67(v,w,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  188682[0:Rew:42225.3,188497.1] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(skf67(v,w,u),c_Groups_Oone__class_Oone(tc_Nat_Onat))**.
% 299.87/300.57  42874[0:Rew:691.1,42850.3] class_Groups_Ouminus(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),w)))))*.
% 299.87/300.57  50515[0:Res:779.2,586.1] class_Orderings_Oorder(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  75678[0:Res:510.1,976.1] class_Rings_Olinordered__ring(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_fun(u,v)),x),x),w)))*.
% 299.87/300.57  57973[0:SpR:813.1,854.3] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v))*.
% 299.87/300.57  1704[0:Rew:1082.1,1374.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),w)),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),w))**.
% 299.87/300.57  44102[0:SpR:12933.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(x)))),y),z),hAPP(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),z))),hAPP(y,z)))*.
% 299.87/300.57  54119[0:SpL:742.0,51176.0] || hBOOL(hAPP(hAPP(u,v),hAPP(w,v)))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),skf49(hAPP(hAPP(c_COMBS(x,y,z),u),w))))*.
% 299.87/300.57  43970[0:SpR:12933.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(y)))),z),hAPP(hAPP(x,z),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),z)))))*.
% 299.87/300.57  1250[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(hAPP(c_Polynomial_Osmult(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),x)))*.
% 299.87/300.57  1249[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),x)))**.
% 299.87/300.57  1232[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))))*.
% 299.87/300.57  1247[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.57  1246[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.57  1242[0:Inp] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(v,skf43(w,v,u))),hAPP(w,skf43(w,v,u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),v),w))*.
% 299.87/300.57  1236[0:Inp] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),x),w))*.
% 299.87/300.57  76460[0:SpR:813.1,1004.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))**.
% 299.87/300.57  54581[0:Res:893.2,384.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.57  50424[0:Res:776.2,586.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  54968[0:Res:864.2,384.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.57  55128[0:Res:725.2,865.1] class_Rings_Olinordered__idom(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  55129[0:Res:724.2,865.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  43833[0:SpR:742.0,694.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Int_Oint)),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 299.87/300.57  44151[0:SpL:742.0,695.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Rings_Odvd__class_Odvd(tc_Int_Oint)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),y),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))))*.
% 299.87/300.57  58042[0:SpR:687.1,853.3] class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))* -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.57  76461[0:SpR:815.1,1004.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))**.
% 299.87/300.57  57974[0:SpR:815.1,854.3] class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v))*.
% 299.87/300.57  64880[0:Res:937.2,50956.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf46(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.57  64865[0:Res:937.2,51176.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf49(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  43973[0:SpR:495.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_OpCons(u),skf37(u,z))),skf36(u,z)),hAPP(hAPP(y,skf36(u,z)),z))**.
% 299.87/300.57  44105[0:SpR:495.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_OpCons(u),skf37(u,y))),z),skf36(u,y)),hAPP(y,hAPP(z,skf36(u,y))))**.
% 299.87/300.57  76459[0:SpR:812.1,1004.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))**.
% 299.87/300.57  57970[0:SpR:747.1,854.3] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),w))* c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) -> c_Polynomial_Opos__poly(u,w).
% 299.87/300.57  57971[0:SpR:746.1,854.3] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))* c_Polynomial_Opos__poly(u,v) -> c_Polynomial_Opos__poly(u,w).
% 299.87/300.57  57972[0:SpR:812.1,854.3] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v))*.
% 299.87/300.57  75311[0:SSi:75306.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)).
% 299.87/300.57  1226[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w)).
% 299.87/300.57  1245[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))**.
% 299.87/300.57  1244[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),v))**.
% 299.87/300.57  65737[0:SpL:590.1,940.1] class_Rings_Oring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,w))).
% 299.87/300.57  65620[0:SpR:590.1,939.2] class_Rings_Oring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))*.
% 299.87/300.57  65680[0:SpL:590.1,938.1] class_Rings_Oring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,v)),w)).
% 299.87/300.57  64850[0:SpR:590.1,937.2] class_Rings_Oring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w))*.
% 299.87/300.57  55734[0:Rew:837.1,55698.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf49(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  55733[0:Rew:837.1,55708.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf46(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.57  72292[0:SpL:956.1,51176.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)))))*.
% 299.87/300.57  72116[0:SpL:957.1,51176.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)))))*.
% 299.87/300.57  72464[0:SpL:955.1,51176.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)))))*.
% 299.87/300.57  57321[0:SpL:878.1,464.1] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || hBOOL(c_Polynomial_Omonom(u,w,hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)))))*.
% 299.87/300.57  43907[0:SpR:617.2,742.0] class_Groups_Ozero(u) ||  -> equal(v,w) equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x2,v))),w),hAPP(hAPP(x1,w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  44039[0:SpR:617.2,742.0] class_Groups_Ozero(u) ||  -> equal(v,w) equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x1,v))),x2),w),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x2,w)))**.
% 299.87/300.57  15621[0:SpL:506.1,464.1] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.57  74625[0:SpL:814.1,953.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 299.87/300.57  73352[0:SpR:814.1,954.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  74762[0:SpL:814.1,951.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 299.87/300.57  73501[0:SpR:814.1,952.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  43321[0:SpL:689.2,12641.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,x)))* equal(x,skf48(c_fequal(y)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),y))*.
% 299.87/300.57  57681[0:SpL:902.2,384.0] class_Rings_Oidom(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),w)))))*.
% 299.87/300.57  43906[0:SpR:616.2,742.0] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x2,v))),w),hAPP(hAPP(x1,w),x2))**.
% 299.87/300.57  44038[0:SpR:616.2,742.0] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x1,v))),x2),w),hAPP(x1,hAPP(x2,w)))**.
% 299.87/300.57  43980[0:SpR:613.2,742.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Oplus__class_Oplus(u),v)),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  43967[0:SpR:609.2,742.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Otimes__class_Otimes(u),x1)),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  43911[0:SpR:608.2,742.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Otimes__class_Otimes(u),v)),x1),hAPP(hAPP(z,x1),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  43909[0:SpR:615.2,742.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),hAPP(hAPP(z,v),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.57  43905[0:SpR:607.2,742.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Polynomial_Opoly(u,v)),x1),hAPP(hAPP(z,x1),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  44112[0:SpR:613.2,742.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Oplus__class_Oplus(u),v)),z),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,v)))**.
% 299.87/300.57  44099[0:SpR:609.2,742.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),x1),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x1,v)))**.
% 299.87/300.57  44043[0:SpR:608.2,742.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Otimes__class_Otimes(u),v)),z),x1),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,x1)))**.
% 299.87/300.57  44041[0:SpR:615.2,742.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Otimes__class_Otimes(u),v)),z),v),hAPP(c_Groups_Oone__class_Oone(u),hAPP(z,v)))**.
% 299.87/300.57  44037[0:SpR:607.2,742.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Polynomial_Opoly(u,v)),z),x1),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,x1)))**.
% 299.87/300.57  76452[0:SpR:752.2,1004.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,x,w)),v),hAPP(c_Polynomial_Opoly(u,x),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  76450[0:SpR:748.2,1004.1] class_Groups_Ogroup__add(u) class_Rings_Ocomm__semiring__0(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,x,v)),w),hAPP(c_Polynomial_Opoly(u,x),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  66001[0:SSi:65961.2,133.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) -> equal(hAPP(c_Polynomial_Opoly(u,v),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 299.87/300.57  66084[0:SpR:451.2,936.1] class_Groups_Ozero(u) class_Groups_Oab__group__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),x)))*.
% 299.87/300.57  20016[0:SpL:553.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.57  20015[0:SpL:553.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v).
% 299.87/300.57  43257[0:Res:725.2,12641.0] class_Rings_Olinordered__idom(u) || equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),x))* equal(x,hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  43150[0:Res:724.2,12641.0] class_Orderings_Olinorder(u) || equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),x))* equal(x,hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  75251[0:SpL:503.2,973.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.57  73758[0:SpR:503.2,972.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  75269[0:SpL:503.2,973.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))*.
% 299.87/300.57  73776[0:SpR:503.2,972.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.57  74464[0:SpL:503.2,970.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.57  1235[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x))* -> equal(w,x).
% 299.87/300.57  42842[0:SpR:503.2,691.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ouminus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_fun(u,v))) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x),hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(w,x)))*.
% 299.87/300.57  75134[0:SpL:503.2,989.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.87/300.57  74967[0:SpL:503.2,992.1] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))*.
% 299.87/300.57  73652[0:SpR:503.2,988.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  73564[0:SpR:503.2,991.2] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  75152[0:SpL:503.2,989.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.57  74985[0:SpL:503.2,992.1] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))*.
% 299.87/300.57  73670[0:SpR:503.2,988.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.57  73582[0:SpR:503.2,991.2] class_Groups_Ogroup__add(u) class_Lattices_Oboolean__algebra(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.57  74280[0:SpL:503.2,986.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.57  18967[0:SpL:354.1,492.0] class_Groups_Ocomm__monoid__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v)),skf33(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))** -> equal(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  18968[0:SpL:355.1,492.0] class_Groups_Omonoid__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v)),skf33(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))** -> equal(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  18927[0:SpL:354.1,492.0] class_Groups_Ocomm__monoid__add(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))),skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.57  18928[0:SpL:355.1,492.0] class_Groups_Omonoid__add(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))),skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.57  71073[0:SpR:503.2,1660.1] class_Groups_Ogroup__add(u) class_Rings_Oring(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w))**.
% 299.87/300.57  72592[0:SpR:503.2,1659.1] class_Groups_Ogroup__add(u) class_Rings_Oring(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  18978[0:SpL:365.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v)),skf33(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v))** -> equal(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))).
% 299.87/300.57  18938[0:SpL:365.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)))),skf33(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))))** -> equal(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v).
% 299.87/300.57  18975[0:SpL:363.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v)),skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))).
% 299.87/300.57  18976[0:SpL:359.1,492.0] class_Groups_Omonoid__mult(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v)),skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))).
% 299.87/300.57  18977[0:SpL:360.1,492.0] class_Groups_Ocomm__monoid__mult(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v)),skf33(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))).
% 299.87/300.57  18935[0:SpL:363.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))),skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v).
% 299.87/300.57  18936[0:SpL:359.1,492.0] class_Groups_Omonoid__mult(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))),skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v).
% 299.87/300.57  18937[0:SpL:360.1,492.0] class_Groups_Ocomm__monoid__mult(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)))),skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v).
% 299.87/300.57  44062[0:SpR:496.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_Osmult(u),y)),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(z,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.57  43930[0:SpR:496.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_Osmult(u),z)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.57  79541[0:SSi:79540.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(w))),u)),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(w)),v)))))*.
% 299.87/300.57  79539[0:SSi:79538.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(w)),u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(w))),v)))*.
% 299.87/300.57  79805[0:SSi:79804.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(w)))),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(v)),w)))))*.
% 299.87/300.57  79349[0:SSi:79348.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),w)))))**.
% 299.87/300.57  12961[0:Rew:12519.0,12633.0,12519.0,12633.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(v))),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),v)))),w))**.
% 299.87/300.57  79803[0:SSi:79802.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(c_Int_Onat__aux(skf48(c_fequal(u)),w)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w)))))*.
% 299.87/300.57  77035[0:Res:963.2,12538.0] || SkP2(u,v,skf48(w))* SkP1(u,v,skf48(w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf48(w)))* hBOOL(hAPP(hAPP(u,v),skf60(hAPP(u,v))))*.
% 299.87/300.57  77040[0:Res:963.2,12183.0] || SkP2(u,v,skf60(w))* SkP1(u,v,skf60(w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf60(w)))* hBOOL(hAPP(hAPP(u,v),skf60(hAPP(u,v))))*.
% 299.87/300.57  61370[0:SpR:3705.1,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf52(u,v)))))*.
% 299.87/300.57  61519[0:SpL:3705.1,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf52(u,v))),w))*.
% 299.87/300.57  59406[0:SpR:3705.1,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf52(u,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),w))).
% 299.87/300.57  3775[0:Rew:3621.0,3697.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.57  76714[0:SpR:285.0,963.2] || SkP2(hAPP(c_COMBK(u,v),w),x,y)* SkP1(hAPP(c_COMBK(u,v),w),x,y) -> hBOOL(hAPP(w,y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  59366[0:SpR:3705.1,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf52(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))*.
% 299.87/300.57  76931[0:SpR:442.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  61330[0:SpR:3705.1,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf52(u,v)))),v))*.
% 299.87/300.57  76969[0:SpR:558.2,963.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Groups_Oplus__class_Oplus(u),w,v)* SkP1(c_Groups_Oplus__class_Oplus(u),w,v) -> hBOOL(w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.57  76643[0:SpR:272.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  61219[0:SpR:3705.1,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf52(u,v)))))*.
% 299.87/300.57  56994[0:SSi:56943.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),w)* -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))*.
% 299.87/300.57  56911[0:Res:3721.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 299.87/300.57  59847[0:Res:3760.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),x))*.
% 299.87/300.57  61237[0:Res:3763.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),x))*.
% 299.87/300.57  3774[0:Rew:3621.0,3694.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.57  59259[0:Res:871.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u)))* -> equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.57  61710[0:SpL:3705.1,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf52(u,v)))).
% 299.87/300.57  59789[0:SpR:3705.1,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf52(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))*.
% 299.87/300.57  68089[0:MRR:68068.2,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w)).
% 299.87/300.57  47781[0:SpR:3757.0,3690.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(c_Int_Onat__aux(skf48(c_fequal(u)),v),w))),w)**.
% 299.87/300.57  50316[0:SpL:745.1,447.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || equal(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),c_Polynomial_Omonom(u,v,w))** -> equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.57  66282[0:SpL:742.0,943.1] class_Rings_Ono__zero__divisors(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(z,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  66215[0:SpL:742.0,942.1] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),z),c_Groups_Ozero__class_Ozero(u))** -> equal(z,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  60730[0:SpR:3705.1,3762.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf52(u,v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.57  60735[0:SpR:3709.1,3762.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.57  59371[0:SpR:3709.1,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),v)).
% 299.87/300.57  59794[0:SpR:3709.1,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),v)).
% 299.87/300.57  69666[0:Res:525.2,3665.0] class_Orderings_Olinorder(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 299.87/300.57  69682[0:Res:515.2,3665.0] class_Orderings_Olinorder(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),x))*.
% 299.87/300.57  69658[0:Res:525.1,3665.0] class_Orderings_Olinorder(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),x))*.
% 299.87/300.57  61224[0:SpR:3709.1,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))))*.
% 299.87/300.57  60690[0:SpR:3705.1,3762.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf52(u,v)))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))**.
% 299.87/300.57  60695[0:SpR:3709.1,3762.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))**.
% 299.87/300.57  61184[0:SpR:3709.1,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))),w))*.
% 299.87/300.57  61335[0:SpR:3709.1,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))),w))*.
% 299.87/300.57  61524[0:SpL:3709.1,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.57  69579[0:SpL:414.0,3665.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))*.
% 299.87/300.57  41215[0:Res:740.1,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),v).
% 299.87/300.57  67029[0:Rew:66992.0,66979.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),hAPP(c_Nat_OSuc,hAPP(x,y))))*.
% 299.87/300.57  72842[0:SpR:999.1,3703.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))))**.
% 299.87/300.57  72568[0:SpR:1659.1,3703.0] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))))**.
% 299.87/300.57  46704[0:SpR:742.0,3704.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(u,v))),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(u,v)))**.
% 299.87/300.57  1230[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))**.
% 299.87/300.57  71301[0:SpR:997.1,3704.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))),u))**.
% 299.87/300.57  71031[0:SpR:1660.1,3704.0] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))),u))**.
% 299.87/300.57  1231[0:Inp] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))**.
% 299.87/300.57  1708[0:Rew:219.0,1428.2,219.0,1428.1,219.0,1428.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))*.
% 299.87/300.57  1237[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w)) c_Orderings_Oorder_Omono(tc_Nat_Onat,u,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(x,v)),hAPP(x,w)))*.
% 299.87/300.57  47411[0:SpL:742.0,767.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),x),y))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(x,y)),y))* -> equal(hAPP(x,y),y).
% 299.87/300.57  1229[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.57  47316[0:Res:808.1,820.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.87/300.57  65633[0:Res:939.2,767.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),u).
% 299.87/300.57  79920[0:SpR:687.1,1028.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.57  79878[0:SpR:687.1,1028.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))*.
% 299.87/300.57  65699[0:Res:3714.1,938.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))))*.
% 299.87/300.57  64860[0:Res:937.2,3713.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)).
% 299.87/300.57  64864[0:Res:937.2,767.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)).
% 299.87/300.57  69577[0:SpL:418.0,3665.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x))*.
% 299.87/300.57  71954[0:SpL:959.1,51176.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))))*.
% 299.87/300.57  55576[0:Rew:852.1,55544.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf49(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  55575[0:Rew:852.1,55554.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf46(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))*.
% 299.87/300.57  66611[0:SpL:3723.1,897.1] class_Rings_Osemiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> equal(w,c_Nat_Osemiring__1__class_Oof__nat(u,x)).
% 299.87/300.57  66612[0:SpL:3723.1,896.1] class_Rings_Osemiring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> equal(w,c_Nat_Osemiring__1__class_Oof__nat(u,x)).
% 299.87/300.57  43595[0:SpR:590.1,739.1] class_Rings_Oring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,w),c_Int_Oring__1__class_Oof__int(u,x)))**.
% 299.87/300.57  66609[0:SpL:3723.1,895.1] class_Rings_Osemiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(x)),w)))* -> equal(v,c_Nat_Osemiring__1__class_Oof__nat(u,x)).
% 299.87/300.57  71999[0:Rew:959.1,71895.2] class_Rings_Osemiring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))**.
% 299.87/300.57  43656[0:SpR:413.1,739.1] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),w,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.57  43645[0:SpR:405.1,739.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  43646[0:SpR:407.1,739.1] class_Rings_Omult__zero(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  43579[0:SpR:408.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.57  43578[0:SpR:396.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  43575[0:SpR:410.1,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  57969[0:SpR:736.1,854.3] class_Rings_Osemiring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),v)) c_Polynomial_Opos__poly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.57  43662[0:SpR:1637.1,739.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.57  59250[0:Res:833.2,914.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* equal(w,hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))))*.
% 299.87/300.57  56728[0:Res:835.2,632.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)).
% 299.87/300.57  59287[0:Rew:1878.0,59254.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(v,hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.57  1932[0:Rew:1878.0,1886.2,1878.0,1886.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 299.87/300.57  67370[0:Res:937.2,1900.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v))*.
% 299.87/300.57  67380[0:MRR:67375.0,243.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))).
% 299.87/300.57  69635[4:Res:41857.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)),w))*.
% 299.87/300.57  69653[4:Res:43025.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)),w))*.
% 299.87/300.57  72194[0:Rew:957.1,72037.2] class_Rings_Oring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))**.
% 299.87/300.57  63195[0:Res:922.2,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.57  63216[0:Rew:3654.0,63194.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP0(v,u) equal(skf44(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v)),w)* -> equal(hAPP(c_Int_Onat,v),c_Int_Onat__aux(u,w))*.
% 299.87/300.57  41426[0:Rew:284.0,41319.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)) -> hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf55(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.57  43644[0:SpR:406.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),w,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  18966[0:SpL:351.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v)),skf33(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v))** -> equal(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  18926[0:SpL:351.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)))),skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.57  76951[0:SpR:555.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,w) SkP1(c_Groups_Otimes__class_Otimes(u),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.57  76970[0:SpR:556.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,w) SkP1(c_Groups_Oplus__class_Oplus(u),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.57  57430[0:SpL:1672.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),skf49(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)))))*.
% 299.87/300.57  1243[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)))*.
% 299.87/300.57  64558[0:SpL:590.1,917.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  63708[0:SpR:590.1,916.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  64698[0:SpL:590.1,919.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  64229[0:SpR:590.1,918.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  64492[0:SpL:590.1,935.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  63646[0:SpR:590.1,934.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  64622[0:SpL:590.1,933.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  64102[0:SpR:590.1,932.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  72353[0:Rew:590.1,72229.2] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  72351[0:Rew:590.1,72281.3] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))).
% 299.87/300.57  72350[0:Rew:590.1,72282.3] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,w),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))).
% 299.87/300.57  72352[0:Rew:590.1,72232.2] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))) -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  53482[0:SSi:53441.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))* equal(skf48(c_fequal(skf62(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)).
% 299.87/300.57  77045[0:Res:963.2,16218.0] || SkP2(u,v,skf47(w))* SkP1(u,v,skf47(w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf47(w)))* hBOOL(hAPP(hAPP(u,v),skf60(hAPP(u,v))))*.
% 299.87/300.57  77033[0:Res:963.2,12380.0] || SkP2(u,v,skf57(w))* SkP1(u,v,skf57(w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf57(w)))* hBOOL(hAPP(hAPP(u,v),skf60(hAPP(u,v))))*.
% 299.87/300.57  45988[0:Res:585.1,784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.57  67836[0:Res:12782.1,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)) equal(skf48(c_fequal(u)),v).
% 299.87/300.57  51059[0:Res:788.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf46(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.57  79744[0:Res:1049.1,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v).
% 299.87/300.57  76644[0:SpR:262.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  67841[0:SSi:67809.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.57  77041[0:Res:963.2,4192.0] || SkP2(u,v,c_Groups_Oone__class_Oone(tc_Int_Oint)) SkP1(u,v,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(hAPP(u,v),skf60(hAPP(u,v))))*.
% 299.87/300.57  68727[0:Rew:3632.0,68697.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.57  40682[0:Res:740.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.57  40684[0:Res:740.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),skf48(c_fequal(w))))*.
% 299.87/300.57  63522[0:SpL:742.0,924.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),z),u))* -> equal(v,hAPP(z,u)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  77100[0:MRR:76660.3,2780.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w)* -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.57  43882[0:SpR:618.2,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  43971[0:SpR:683.2,742.0] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Power_Opower__class_Opower(u),x1)),v),hAPP(hAPP(z,v),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.57  44014[0:SpR:618.2,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),z),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,v)))**.
% 299.87/300.57  44103[0:SpR:683.2,742.0] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Power_Opower__class_Opower(u),z)),x1),v),hAPP(c_Groups_Oone__class_Oone(u),hAPP(x1,v)))**.
% 299.87/300.57  43605[0:SpR:458.1,739.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,x),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  43629[0:SpR:491.1,739.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,x),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),x,c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.57  43658[0:SpR:490.1,739.1] class_Rings_Osemiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  40668[0:Res:740.1,1650.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  78911[0:SpL:1059.0,700.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  41093[0:SpL:690.2,12641.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w))*.
% 299.87/300.57  18964[0:SpL:458.1,492.0] || equal(skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)).
% 299.87/300.57  18965[0:SpL:491.1,492.0] || equal(skf33(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)).
% 299.87/300.57  18925[0:SpL:491.1,492.0] || equal(skf33(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(u,skf33(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u).
% 299.87/300.57  18924[0:SpL:458.1,492.0] || equal(skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(u,skf33(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u).
% 299.87/300.57  48188[0:SpR:742.0,12638.1] || hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),u),c_Int_Onat),v))* equal(skf48(c_fequal(skf62(hAPP(u,v),v))),v)**.
% 299.87/300.57  50527[0:Res:779.2,735.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.57  50436[0:Res:776.2,735.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.57  48217[0:Res:12638.1,583.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  48218[0:Res:12638.1,584.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  48307[0:Rew:550.1,48157.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.57  48117[0:SpR:503.2,12638.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(c_Groups_Ouminus__class_Ouminus(u),v))),v)**.
% 299.87/300.57  41425[0:Rew:550.1,41327.2,550.1,41327.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))))))*.
% 299.87/300.57  41296[0:SpR:503.2,1649.2] class_Groups_Ogroup__add(u) || equal(hAPP(c_Nat_OSuc,skf55(v,c_Groups_Ouminus__class_Ouminus(u))),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  41683[0:Res:12935.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(v)),w)),skf48(c_fequal(v))))*.
% 299.87/300.57  41597[0:SpL:609.2,735.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.57  55245[0:Res:891.2,3740.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))))*.
% 299.87/300.57  63161[0:SpR:1986.0,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  63169[0:SpR:12132.0,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  63170[0:SpR:12331.0,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  63171[0:SpR:12488.0,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  63172[0:SpR:14019.0,922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  63005[0:SpL:1986.0,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.57  63013[0:SpL:12132.0,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))*.
% 299.87/300.57  63014[0:SpL:12331.0,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))*.
% 299.87/300.57  63015[0:SpL:12488.0,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))*.
% 299.87/300.57  63016[0:SpL:14019.0,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))*.
% 299.87/300.57  48170[0:SpR:414.0,12638.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onat,v)),u))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),v).
% 299.87/300.57  41534[0:SpL:615.2,735.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.57  41742[0:Res:12938.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(v)),w)),skf48(c_fequal(v))))*.
% 299.87/300.57  78627[0:SpL:1073.0,24466.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  41611[0:SpL:613.2,735.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.57  41604[0:SpL:495.1,735.0] class_Groups_Ozero(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf36(u,v),w)),skf36(u,v)))*.
% 299.87/300.57  41531[0:SpL:616.2,735.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(x) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,y)),w))*.
% 299.87/300.57  41532[0:SpL:617.2,735.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,y)),w))*.
% 299.87/300.57  42790[0:SpL:686.1,12641.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w)))* -> equal(c_Polynomial_Oorder(u,hAPP(c_Int_Onat,v),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,x),w))*.
% 299.87/300.57  43637[0:SpR:9503.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v))),hAPP(c_Nat_OSuc,w),skf64(v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(v))),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  44120[0:SpR:3736.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y),c_Int_Onat__aux(skf48(c_fequal(x)),z)),hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(y,c_Int_Onat__aux(skf48(c_fequal(x)),z))))**.
% 299.87/300.57  43988[0:SpR:3736.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),c_Int_Onat__aux(skf48(c_fequal(y)),z)),hAPP(hAPP(x,c_Int_Onat__aux(skf48(c_fequal(y)),z)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  45179[0:Res:788.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.57  47669[0:MRR:47512.2,41948.3] class_Rings_Ocomm__semiring__1(u) || equal(skf62(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  72107[0:SpL:957.1,620.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  54493[0:SpR:890.3,742.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(v,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),v),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  67028[0:Rew:66992.0,66985.2] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Orderings_Oord__class_OLeast(u,c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))*.
% 299.87/300.57  1238[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.57  1239[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.57  51450[4:MRR:51300.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))*.
% 299.87/300.57  51372[0:Res:12935.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.87/300.57  51382[0:Res:12938.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf58(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),v))*.
% 299.87/300.57  66812[0:SpR:601.0,2543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Int_Onat__aux(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 299.87/300.57  47574[0:Res:5871.1,805.1] || equal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  53373[0:Res:12637.0,12554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)))),hAPP(c_Int_Onat,u)).
% 299.87/300.57  66884[0:SSi:66883.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(c_Int_Onat__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)).
% 299.87/300.57  72682[0:SSi:72621.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  67258[0:SpL:12953.0,965.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))* equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  67147[0:SpL:12953.0,966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(u))))* equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  67471[0:Res:692.1,964.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.57  67256[0:SpL:753.0,965.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  72196[0:SSi:72110.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  72195[0:SSi:72111.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)))* equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  67475[0:Res:12957.1,964.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(u))),skf48(c_fequal(v))))*.
% 299.87/300.57  69637[0:Res:536.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))*.
% 299.87/300.57  75820[0:Res:5870.1,805.1] || equal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  48209[0:Res:12638.1,537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.57  41686[0:Res:12816.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(u)),v)),skf48(c_fequal(u))))*.
% 299.87/300.57  53269[0:SpR:503.2,12637.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(c_Groups_Ouminus__class_Ouminus(u),v))),v)**.
% 299.87/300.57  53304[0:SpR:550.1,12637.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v))),v)**.
% 299.87/300.57  53319[0:SpR:505.1,12637.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)**.
% 299.87/300.57  53320[0:SpR:506.1,12637.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)**.
% 299.87/300.57  53336[0:SpR:551.0,12637.0] ||  -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_COMBC(x,y,z,u),w),v))),v)**.
% 299.87/300.57  53364[0:Res:12637.0,647.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),v))),v).
% 299.87/300.57  53365[0:Res:12637.0,644.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),v))),v).
% 299.87/300.57  53366[0:Res:12637.0,648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),v))),v).
% 299.87/300.57  53381[0:Res:12637.0,653.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,w),v))),v).
% 299.87/300.57  53382[0:Res:12637.0,655.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,w),v))),v).
% 299.87/300.57  53353[0:Res:12637.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))).
% 299.87/300.57  53380[0:Res:12637.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))).
% 299.87/300.57  53393[0:Res:12637.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),u))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))*.
% 299.87/300.57  53278[0:SpR:607.2,12637.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,v),w))),w)**.
% 299.87/300.57  53284[0:SpR:608.2,12637.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),w)**.
% 299.87/300.57  52519[4:MRR:52391.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  78336[0:SSi:78256.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.57  76651[0:SpR:5859.1,963.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) SkP2(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v) SkP1(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.57  76646[0:SpR:268.0,963.2] || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  69321[0:SpL:19349.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* -> equal(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  69304[0:SpL:19349.0,492.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(u,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u).
% 299.87/300.57  69344[0:Rew:19349.0,69303.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.57  45746[0:Res:585.1,820.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)).
% 299.87/300.57  77039[0:Res:963.2,4191.0] || SkP2(u,v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) SkP1(u,v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(hAPP(u,v),skf60(hAPP(u,v))))*.
% 299.87/300.57  150345[0:Res:63058.1,805.1] || SkP0(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  168397[0:SpL:687.1,1031.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)).
% 299.87/300.57  168356[0:SpL:687.1,1031.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.57  170015[0:SpL:10145.1,700.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  169983[0:SpR:10145.1,742.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u))),skf50(u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),skf50(u)),u))**.
% 299.87/300.57  170235[0:SSi:170226.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.57  170236[0:SSi:170222.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w)).
% 299.87/300.57  170369[0:Res:5747.1,1007.1] || equal(skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v,w),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.57  170493[4:MRR:170492.2,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)))* hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.57  170757[0:Res:5747.1,1010.1] || equal(skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v,w),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.57  170883[4:MRR:170882.2,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)))* hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.57  171546[0:SSi:171532.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  171737[0:SpR:742.0,1080.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),z),v)))*.
% 299.87/300.57  171909[0:SpR:742.0,1077.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),z),v)))*.
% 299.87/300.57  172113[0:SpR:742.0,1035.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),z),v)))*.
% 299.87/300.57  172480[0:SpL:1064.1,464.1] class_Power_Opower(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.57  172550[0:SSi:172494.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))* -> equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  172685[0:SpL:1689.1,464.1] class_Groups_Omonoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.57  172969[0:SSi:172930.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))* -> equal(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  173325[0:SSi:173324.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.57  173340[0:SSi:173339.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),v)))*.
% 299.87/300.57  173342[0:SSi:173341.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)))*.
% 299.87/300.57  173344[0:SSi:173343.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)))*.
% 299.87/300.57  173346[0:SSi:173345.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.57  173348[0:SSi:173347.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),v)))*.
% 299.87/300.57  173351[0:SSi:173350.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.57  173352[0:Rew:1091.1,173221.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.57  174271[0:Rew:15222.0,174270.3] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,u))))*.
% 299.87/300.57  174528[0:Res:16882.1,1006.0] || equal(skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v,w),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  174521[0:Res:1909.0,1006.0] ||  -> equal(skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174491[0:Res:395.2,1006.0] hBOOL(u) hBOOL(skf68(hAPP(c_fconj,u),v,w)) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  174857[0:Res:16882.1,1009.0] || equal(skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v,w),u)** -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  174850[0:Res:1909.0,1009.0] ||  -> equal(skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174820[0:Res:395.2,1009.0] hBOOL(u) hBOOL(skf67(hAPP(c_fconj,u),v,w)) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  175066[0:SpR:742.0,1087.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(u)),x1),w)))*.
% 299.87/300.57  175051[0:SpR:1064.1,1087.2] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.57  175050[0:SpR:1689.1,1087.2] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.57  175042[0:SpR:687.1,1087.2] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.57  175102[0:SSi:175084.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.57  175103[0:SSi:175080.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),x))*.
% 299.87/300.57  175354[0:SSi:175335.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.57  175355[0:SSi:175331.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),x))*.
% 299.87/300.57  175577[0:SpL:742.0,1089.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),z)),x1))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),z),x1)).
% 299.87/300.57  175562[0:SpL:1064.1,1089.1] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)).
% 299.87/300.57  175561[0:SpL:1689.1,1089.1] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)).
% 299.87/300.57  175553[0:SpL:687.1,1089.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),w))*.
% 299.87/300.57  175629[0:Obv:175592.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)))*.
% 299.87/300.57  175630[0:Obv:175590.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x)))*.
% 299.87/300.57  175631[0:Obv:175586.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),v)))*.
% 299.87/300.57  175913[0:Obv:175874.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)))*.
% 299.87/300.57  175914[0:Obv:175872.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x)))*.
% 299.87/300.57  175915[0:Obv:175868.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),v)))*.
% 299.87/300.57  176368[0:Res:16882.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),x),skf41(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),x),y,z)))*.
% 299.87/300.57  176365[0:Res:325.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),skf41(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),y,z)))*.
% 299.87/300.57  176330[0:Res:378.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),y,z)))*.
% 299.87/300.57  176289[0:Res:395.2,1081.2] hBOOL(u) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(hAPP(c_fconj,u),skf41(hAPP(c_fconj,u),y,z)))*.
% 299.87/300.57  176464[0:Rew:443.1,176219.4] class_Groups_Ocomm__monoid__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(skf41(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),y,z))*.
% 299.87/300.57  176634[0:Res:725.2,1051.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))* equal(x,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  176750[0:SSi:176633.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),x))*.
% 299.87/300.57  177062[0:SSi:176933.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.57  177063[0:SSi:176908.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),x))*.
% 299.87/300.57  79226[0:SpL:1074.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w))))*.
% 299.87/300.57  78273[0:SpL:1078.0,24466.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  69578[0:SpL:412.0,3665.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))*.
% 299.87/300.57  174858[2:Res:51947.1,1009.0] || equal(skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v,w),u)** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  174699[2:Res:51947.1,1006.0] || equal(skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v,w),u)** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.57  48169[0:SpR:412.0,12638.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onat,v)),u))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),v).
% 299.87/300.57  176371[2:Res:51947.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),y,z)))*.
% 299.87/300.57  159818[2:Res:146401.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  159741[2:Res:64525.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  146396[2:Res:64591.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  51110[0:Rew:753.0,51015.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.57  51112[0:Rew:1657.0,51012.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.57  177244[0:Res:724.2,1045.1] class_Orderings_Olinorder(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))* equal(x,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  177243[0:Res:725.2,1045.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))* equal(x,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  177367[0:SSi:177265.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),v))*.
% 299.87/300.57  177368[0:SSi:177242.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),x))*.
% 299.87/300.57  177786[0:SSi:177670.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.57  178111[0:SSi:177947.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  178112[0:SSi:177922.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.57  178232[0:Res:724.2,1044.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* equal(w,x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.57  178231[0:Res:725.2,1044.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))* equal(w,x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.57  178350[0:SSi:178253.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),u)).
% 299.87/300.57  178351[0:SSi:178230.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.57  178633[0:SSi:178512.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  178634[0:SSi:178487.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.57  179086[0:Obv:178880.3] class_Rings_Oidom(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))* c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),v))*.
% 299.87/300.57  179092[0:Obv:178792.3] class_Rings_Oidom(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))* c_Polynomial_Opos__poly(u,v)* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),w))*.
% 299.87/300.57  179259[0:SpL:1082.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.57  179194[0:SpR:1082.1,687.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),v)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v)))**.
% 299.87/300.57  179186[0:SpR:1082.1,931.1] class_Rings_Ocomm__semiring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x))**.
% 299.87/300.57  179379[0:SSi:179282.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,hAPP(c_Nat_OSuc,u),v)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),x))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),x).
% 299.87/300.57  179380[0:SSi:179276.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),x))* -> equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  179408[0:SSi:179407.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,v)),u)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,hAPP(c_Nat_OSuc,w),v)),u))**.
% 299.87/300.57  179881[0:SpL:1075.0,1089.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y))),z))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),z)).
% 299.87/300.57  179845[0:SpR:9385.1,1075.0] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),skf50(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),skf50(u)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179784[0:SpR:283.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179783[0:SpR:1618.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w)),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w)),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179651[0:SpR:2526.0,1075.0] ||  -> equal(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),hAPP(c_Int_Onat,u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_OSuc),hAPP(c_Int_Onat,u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179602[0:SpR:1075.0,1087.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Otimes__class_Otimes(u)),w),hAPP(c_Nat_OSuc,z))))*.
% 299.87/300.57  179534[0:SpR:1075.0,508.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.57  179495[0:SpR:1075.0,541.2] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),y)) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.57  179482[0:SpR:1075.0,1035.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.57  179481[0:SpR:1075.0,1077.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.57  179480[0:SpR:1075.0,1080.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.57  179932[0:Rew:1075.0,179529.1] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.57  179991[0:SpL:5744.1,1929.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))*.
% 299.87/300.57  179988[0:SpL:5744.1,1929.0] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  180034[0:SSi:180009.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  180194[0:SpL:179332.0,333.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) -> SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),u,x)*.
% 299.87/300.57  180193[0:SpL:179332.0,334.0] || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) -> SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),u,x)*.
% 299.87/300.57  180163[0:SpR:5744.1,179332.0] || equal(u,v) -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),x)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(x)),w)))**.
% 299.87/300.57  180220[0:SSi:180186.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w) -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,w,x)),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.57  180222[0:SSi:180152.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(c_Polynomial_Oorder(tc_Int_Oint,u,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  180229[0:SSi:180188.1,180188.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w),x)) -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Int_Onat__aux(skf48(c_fequal(x)),w)))*.
% 299.87/300.57  180294[0:SpL:5744.1,42251.1] || equal(u,skf44(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(v,x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.57  180292[0:SpL:2135.1,42251.1] || equal(skf44(u,v),w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf44(u,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))*.
% 299.87/300.57  180384[0:SpL:5744.1,52846.1] || equal(u,skf44(v,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(v,x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.57  180471[0:SpL:5744.1,1104.2] || equal(u,skf55(v,w))* hBOOL(hAPP(w,v))* hBOOL(hAPP(w,x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.57  180648[0:SpL:1700.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP1(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x)),x,v)*.
% 299.87/300.57  180647[0:SpL:1700.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Groups_Oone__class_Oone(u),v)) -> SkP2(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x)),x,v)*.
% 299.87/300.57  180633[0:SpR:5744.1,1700.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v)),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.57  180631[0:SpR:5744.1,1700.1] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))* -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),x),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.57  180629[0:SpR:5744.1,1700.1] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),v)),x)),x),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.57  180851[0:SpL:609.2,1117.1] class_Rings_Oring__no__zero__divisors(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) -> equal(v,c_Groups_Oone__class_Oone(u)) equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.57  180823[0:SpL:5744.1,1117.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,w) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),c_Groups_Oone__class_Oone(u))** -> equal(w,c_Groups_Oone__class_Oone(u)) equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.57  180821[0:SpL:5744.1,1117.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,w) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Oone__class_Oone(u))** -> equal(w,c_Groups_Oone__class_Oone(u)) equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.57  180876[0:SSi:180855.1,113.1] class_Rings_Oidom(u) || equal(v,w)* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))** -> equal(w,c_Groups_Oone__class_Oone(u)) equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.57  181477[0:SpL:1098.1,333.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),z))* -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(x,y),z)*.
% 299.87/300.57  181476[0:SpL:1098.1,334.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),z))* -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(x,y),z)*.
% 299.87/300.57  181449[0:SpL:1098.1,333.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)),y))* -> SkP1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),v),x),w,y)*.
% 299.87/300.57  181448[0:SpL:1098.1,334.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)),y))* -> SkP2(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),v),x),w,y)*.
% 299.87/300.57  181441[0:SpR:5744.1,1098.1] class_Groups_Ominus(u) || equal(v,hAPP(w,x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),w),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(z,x)))*.
% 299.87/300.57  181434[0:SpR:9370.1,1098.1] class_Groups_Ominus(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Nat_OSuc),x),skf50(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(x,skf50(v))))*.
% 299.87/300.57  181392[0:SpR:4392.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),x),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,w)))**.
% 299.87/300.57  181385[0:SpR:27252.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w)),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.57  181382[0:SpR:108627.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w)),x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))**.
% 299.87/300.57  181378[0:SpR:294.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w)),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.57  181270[0:SpR:313.1,1098.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,x)))**.
% 299.87/300.57  181227[0:SpR:2169.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Int_Onat),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,v)))**.
% 299.87/300.57  181226[2:SpR:63796.1,1098.1] class_Groups_Ominus(u) || equal(v,skf49(c_fNot)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Int_Onat),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,v)))**.
% 299.87/300.57  181225[0:SpR:2170.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Int_Onat),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,v)))**.
% 299.87/300.57  181223[0:SpR:5744.1,1098.1] class_Groups_Ominus(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,v)),hAPP(z,w)))*.
% 299.87/300.57  181216[15:SpR:76473.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,w))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(t_a)),hAPP(x,y)))**.
% 299.87/300.57  181215[15:SpR:67619.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,w))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(t_a)),hAPP(x,y)))**.
% 299.87/300.57  181206[0:SpR:2117.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Nat_OSuc),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,v)))**.
% 299.87/300.57  181200[0:SpR:9370.1,1098.1] class_Groups_Ominus(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Nat_OSuc),skf50(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,skf50(v))),v))*.
% 299.87/300.57  181158[0:SpR:4392.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.57  181151[0:SpR:27252.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.57  181148[0:SpR:108627.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  181144[0:SpR:294.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  181036[0:SpR:313.1,1098.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))**.
% 299.87/300.57  180993[0:SpR:2169.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Int_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  180992[2:SpR:63796.1,1098.1] class_Groups_Ominus(u) || equal(v,skf49(c_fNot)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Int_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  180991[0:SpR:2170.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Oone__class_Oone(tc_Int_Oint),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Int_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.57  180989[0:SpR:5744.1,1098.1] class_Groups_Ominus(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,w)),hAPP(z,v)))*.
% 299.87/300.57  180982[15:SpR:76473.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,x))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.57  180981[15:SpR:67619.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,x))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),c_Groups_Ozero__class_Ozero(t_a)))**.
% 299.87/300.57  180972[0:SpR:2117.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Nat_OSuc),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.57  180959[0:SpR:5744.1,1098.1] class_Groups_Ominus(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),v),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,z)),hAPP(w,z)))*.
% 299.87/300.57  180957[0:SpR:5744.1,1098.1] class_Groups_Ominus(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,z)),hAPP(y,z)))*.
% 299.87/300.57  180909[0:SpR:1098.1,5744.1] class_Groups_Ominus(u) || equal(v,hAPP(w,x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),z),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(z,x)),v))*.
% 299.87/300.57  180895[0:SpR:1098.1,5744.1] class_Groups_Ominus(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,w)),hAPP(y,w)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),x),y),v))*.
% 299.87/300.57  181559[0:SpL:1118.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),y))* -> SkP1(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y).
% 299.87/300.57  181558[0:SpL:1118.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),y))* -> SkP2(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y).
% 299.87/300.57  181585[0:Rew:1118.1,181540.2] class_Rings_Ocomm__semiring__0(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Polynomial_Opoly(u,v),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Polynomial_Opoly(u,w),y)))*.
% 299.87/300.57  181595[0:SSi:181523.0,122.1] class_Rings_Oidom(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,x,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  181717[0:SpL:1114.1,333.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)),y))* -> SkP1(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y).
% 299.87/300.57  181716[0:SpL:1114.1,334.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)),y))* -> SkP2(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y).
% 299.87/300.57  181740[0:Rew:1114.1,181698.2] class_Rings_Ocomm__semiring__0(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Polynomial_Ocoeff(u,v),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Polynomial_Ocoeff(u,w),y)))*.
% 299.87/300.57  181952[0:SpL:1120.3,333.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* hBOOL(hAPP(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),z))* -> SkP1(hAPP(c_Polynomial_OpCons(u),y),w,z)*.
% 299.87/300.57  181951[0:SpL:1120.3,334.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* hBOOL(hAPP(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),z))* -> SkP2(hAPP(c_Polynomial_OpCons(u),y),w,z)*.
% 299.87/300.57  181890[0:SpR:5744.1,1120.3] class_Groups_Ozero(u) || equal(v,w)* equal(x,y) equal(z,w)* -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),z),x),hAPP(hAPP(c_Polynomial_OpCons(u),v),y))*.
% 299.87/300.57  181863[0:SpR:1120.3,5744.1] class_Groups_Ozero(u) || equal(v,w)* equal(x,y) equal(z,w)* -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),hAPP(hAPP(c_Polynomial_OpCons(u),y),z))*.
% 299.87/300.57  182019[0:Obv:181872.0] class_Groups_Ozero(u) || equal(v,c_Polynomial_Omonom(u,w,x)) equal(y,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),y),v),c_Polynomial_Omonom(u,w,hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  182021[0:AED:109.0,181950.1] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),v),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(c_Int_Onat,skf48(hAPP(c_Polynomial_OpCons(u),w)))))*.
% 299.87/300.57  182195[0:SpL:5744.1,1115.1] class_Groups_Ozero(u) || equal(v,skf40(w,x,u)) equal(hAPP(c_Polynomial_Ocoeff(u,x),skf40(w,x,u)),hAPP(c_Polynomial_Ocoeff(u,w),v))* -> equal(x,w).
% 299.87/300.57  182181[0:SpL:5744.1,1115.1] class_Groups_Ozero(u) || equal(v,skf40(w,x,u)) equal(hAPP(c_Polynomial_Ocoeff(u,x),v),hAPP(c_Polynomial_Ocoeff(u,w),skf40(w,x,u)))* -> equal(x,w).
% 299.87/300.57  182204[0:Obv:182200.0] class_Groups_Ozero(u) || equal(v,w) equal(hAPP(c_Polynomial_Ocoeff(u,x),skf40(v,x,u)),hAPP(c_Polynomial_Ocoeff(u,w),skf40(v,x,u)))* -> equal(x,v).
% 299.87/300.57  182208[0:Obv:182186.0] class_Groups_Ozero(u) || equal(v,w) equal(hAPP(c_Polynomial_Ocoeff(u,w),skf40(x,v,u)),hAPP(c_Polynomial_Ocoeff(u,x),skf40(x,v,u)))* -> equal(v,x).
% 299.87/300.57  182748[0:SpR:12132.0,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  182747[0:SpR:12331.0,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  182746[0:SpR:12488.0,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  182745[0:SpR:14019.0,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  182744[0:SpR:1986.0,1706.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  182905[0:Res:1134.2,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.57  183051[0:Res:12714.2,580.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))) -> .
% 299.87/300.57  183130[0:MRR:183045.1,8588.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* -> equal(hAPP(c_Int_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,hAPP(c_Int_Onat,u))),hAPP(c_Int_Onat,u)).
% 299.87/300.57  183148[0:SpR:179305.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),x))**.
% 299.87/300.57  183147[0:SpR:179305.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,y)))**.
% 299.87/300.57  183140[0:SpR:179305.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v))*.
% 299.87/300.57  183616[8:SpR:49081.0,1136.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(c_Int_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(c_Int_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf62(c_Int_Onat,skf47(c_Int_Onat))))*.
% 299.87/300.57  183988[0:SpR:742.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),v)))*.
% 299.87/300.57  184020[0:Rew:601.0,184002.1,753.0,184002.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))*.
% 299.87/300.57  184028[0:SSi:184027.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))*.
% 299.87/300.57  184256[0:SpL:742.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),y)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),y)).
% 299.87/300.57  184279[0:Rew:601.0,184265.0,753.0,184265.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)).
% 299.87/300.57  184290[0:SSi:184289.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u)).
% 299.87/300.57  185016[0:SpL:2673.1,3769.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.57  184975[0:SpL:2673.1,3769.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(w,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.57  185047[0:Rew:2544.0,184997.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),hAPP(c_Nat_OSuc,x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.57  185051[0:Rew:2544.0,184956.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.57  185353[0:SpL:21749.1,591.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u))*.
% 299.87/300.57  185267[0:SpR:21749.1,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u))* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  185527[0:SpL:21752.1,591.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))*.
% 299.87/300.57  185495[0:SpR:2673.1,21752.1] || equal(skf48(c_fequal(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(v,u))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))**.
% 299.87/300.57  185441[0:SpR:21752.1,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))* -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  185585[0:Rew:2544.0,185476.2] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v),c_Int_Onat__aux(skf48(c_fequal(skf44(v,u))),w))*.
% 299.87/300.57  185589[0:Rew:2545.0,185485.2] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf50(u))) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(v,skf50(u)))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))**.
% 299.87/300.57  185661[0:Res:1131.2,584.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  185657[0:Res:1131.2,583.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  185643[0:SpR:742.0,1131.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),c_Nat_OSuc),v)))*.
% 299.87/300.57  185622[0:SpR:9385.1,1131.2] class_Rings_Olinordered__semidom(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v)))*.
% 299.87/300.57  185715[0:SpR:742.0,1146.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),v))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u))),hAPP(c_Polynomial_Osmult(u),z)),v))*.
% 299.87/300.57  186032[0:Res:269.1,3663.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.57  186031[0:Res:18720.1,3663.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.57  186001[0:Res:5747.1,3663.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.57  185950[0:SpL:284.0,3663.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.57  185870[0:SpL:274.0,3663.0] || hBOOL(u) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(v,u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Nat_Onat_Onat__case(v,u,w),y,x)),x)**.
% 299.87/300.57  186447[0:Res:269.1,3661.0] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.57  186446[0:Res:18720.1,3661.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.57  186416[0:Res:5747.1,3661.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.57  186365[0:SpL:284.0,3661.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.57  186285[0:SpL:274.0,3661.0] || hBOOL(u) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(v,u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Nat_Onat_Onat__case(v,u,w),y,x)),x)**.
% 299.87/300.57  187171[0:SSi:187065.0,140.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.87/300.57  187173[0:SSi:187004.0,140.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))))*.
% 299.87/300.57  187187[0:Rew:179057.3,187186.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.57  187189[0:Rew:179059.3,187188.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.87/300.57  187191[0:Rew:179057.3,187190.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  187193[0:Rew:179059.3,187192.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  187364[0:SpR:742.0,1145.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),z)))*.
% 299.87/300.57  187437[0:SSi:187345.0,140.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.87/300.57  187439[0:SSi:187284.0,140.1] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))))*.
% 299.87/300.57  187460[0:Rew:179057.3,187459.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.57  187462[0:Rew:179059.3,187461.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.87/300.57  187464[0:Rew:179057.3,187463.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  187466[0:Rew:179059.3,187465.3] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  187483[0:SSi:187482.0,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.57  188074[0:Res:3664.0,27439.1] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),skf47(c_Int_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Int_Onat,v,u)),u)**.
% 299.87/300.57  188073[0:Res:3664.0,63126.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188072[0:Res:3664.0,38551.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188068[2:Res:3664.0,153797.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188061[2:Res:3664.0,53848.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188059[0:Res:3664.0,56384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188056[0:Res:3664.0,9640.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188055[0:Res:3664.0,9639.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188044[0:Res:3664.0,28830.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188040[2:Res:3664.0,80546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188035[2:Res:3664.0,52038.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188034[0:Res:3664.0,56385.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188032[0:Res:3664.0,28283.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  187977[0:Res:3664.0,28828.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  187972[0:Res:3664.0,3696.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u)).
% 299.87/300.57  187959[0:Res:3664.0,39778.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  187958[0:Res:3664.0,38559.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  187703[0:SpR:593.1,3664.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,v,u)),u)**.
% 299.87/300.57  188104[0:Rew:2544.0,187907.3] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) equal(hAPP(c_Nat_OSuc,skf68(v,u,w)),w).
% 299.87/300.57  188647[0:Res:3662.0,27439.1] || equal(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),skf47(c_Int_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Int_Onat,v,u)),u)**.
% 299.87/300.57  188646[0:Res:3662.0,63126.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188645[0:Res:3662.0,38551.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188641[2:Res:3662.0,153797.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188634[2:Res:3662.0,53848.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188632[0:Res:3662.0,56384.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188629[0:Res:3662.0,9640.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188628[0:Res:3662.0,9639.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188617[0:Res:3662.0,28830.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188613[2:Res:3662.0,80546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188608[2:Res:3662.0,52038.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.57  188607[0:Res:3662.0,56385.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188605[0:Res:3662.0,28283.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188550[0:Res:3662.0,28828.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188545[0:Res:3662.0,3696.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u)).
% 299.87/300.57  188532[0:Res:3662.0,39778.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188531[0:Res:3662.0,38559.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),v,u)),u)**.
% 299.87/300.57  188276[0:SpR:593.1,3662.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,v,u)),u)**.
% 299.87/300.57  188677[0:Rew:2544.0,188480.3] || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)) equal(hAPP(c_Nat_OSuc,skf67(v,u,w)),w).
% 299.87/300.57  189046[0:Rew:1148.1,188991.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),x)),y))*.
% 299.87/300.57  189048[0:Rew:1148.1,188971.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,x),w)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,x),v)),y))*.
% 299.87/300.57  189051[0:SSi:188975.0,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  1270[0:Inp] class_Fields_Ofield(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),v)),w))* equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  1271[0:Inp] class_Fields_Ofield(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),x)) equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  1258[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.57  1257[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.57  1274[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 299.87/300.57  1273[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.57  1259[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.57  50303[0:SpR:745.1,734.3] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,w)) equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w))*.
% 299.87/300.57  55458[0:Res:779.2,867.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  75598[0:SpL:742.0,961.1] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_OpCons(u)),y),z))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),z)) c_Polynomial_Opos__poly(u,hAPP(y,z)).
% 299.87/300.57  57914[0:SpL:742.0,855.1] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_OpCons(u)),y),z))* -> c_Polynomial_Opos__poly(u,hAPP(y,z)) equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.57  44085[0:SpR:741.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),z),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z),hAPP(y,z)))*.
% 299.87/300.57  43786[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(hAPP(c_COMBS(x,y,z),x1),x2)),x3),x4),hAPP(hAPP(hAPP(x1,x4),hAPP(x2,x4)),hAPP(x3,x4)))*.
% 299.87/300.57  43787[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(hAPP(c_COMBS(y,z,x1),x2),x3)),x4),hAPP(hAPP(x,x4),hAPP(hAPP(x2,x4),hAPP(x3,x4))))*.
% 299.87/300.57  43985[0:SpR:691.1,742.0] class_Groups_Ouminus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(z,u)),x1)),x2),hAPP(hAPP(y,x2),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(x1,x2))))*.
% 299.87/300.57  43953[0:SpR:741.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),z),hAPP(hAPP(y,z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z)))*.
% 299.87/300.57  44117[0:SpR:691.1,742.0] class_Groups_Ouminus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),z)),x1),x2),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(z,x2)),hAPP(x1,x2)))*.
% 299.87/300.57  43974[0:SpR:565.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))**.
% 299.87/300.57  1282[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),w))),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),x)),w))**.
% 299.87/300.57  1252[0:Inp] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(c_Polynomial_Opoly(u,x),w)),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),x)),w))**.
% 299.87/300.57  1280[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(c_Polynomial_Opoly(u,x),w)),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),x)),w))**.
% 299.87/300.57  1281[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(c_Polynomial_Opoly(u,x),w)),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),x)),w))**.
% 299.87/300.57  1272[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),hAPP(c_Polynomial_Ocoeff(u,x),w)),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),x)),w))**.
% 299.87/300.57  1276[0:Inp] class_Fields_Ofield(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),x)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  1275[0:Inp] class_Fields_Ofield(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)))* equal(x,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  1255[0:Inp] class_Rings_Olinordered__ring__strict(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))* equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  1256[0:Inp] class_Rings_Olinordered__ring__strict(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))* equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  44106[0:SpR:565.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.57  1253[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),hAPP(c_Polynomial_Ocoeff(u,x),w)),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),x)),w))**.
% 299.87/300.57  66131[0:SSi:66081.0,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),w)),x)),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v)),x))**.
% 299.87/300.57  66119[0:Rew:936.1,66090.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf49(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.57  66118[0:Rew:936.1,66102.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf46(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)))*.
% 299.87/300.57  65959[0:SpR:745.1,941.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)))**.
% 299.87/300.57  65993[0:Rew:941.1,65967.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf49(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.57  65992[0:Rew:941.1,65979.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf46(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)))*.
% 299.87/300.57  76464[0:SpR:742.0,1004.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Oplus__class_Oplus(u)),z),x1)),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,x1)),hAPP(z,x1)))*.
% 299.87/300.57  60575[0:Res:893.2,12538.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))),skf60(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))))))*.
% 299.87/300.57  59694[0:Res:893.2,12183.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))),skf60(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))))))*.
% 299.87/300.57  73381[0:Res:954.2,51176.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),skf49(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))))*.
% 299.87/300.57  73704[0:Res:988.2,464.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))))*.
% 299.87/300.57  74633[0:SpL:742.0,953.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),z)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,z),hAPP(y,z)))*.
% 299.87/300.57  73360[0:SpR:742.0,954.2] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(w,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(u)),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  55459[0:Res:776.2,867.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  60558[0:Res:864.2,12538.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf48(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))),skf60(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(v))))))*.
% 299.87/300.57  59677[0:Res:864.2,12183.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf60(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))),skf60(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(v))))))*.
% 299.87/300.57  55124[0:Res:779.2,865.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  55125[0:Res:776.2,865.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  73535[0:Res:952.2,51176.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),skf49(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))))*.
% 299.87/300.57  73821[0:Res:972.2,464.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))))*.
% 299.87/300.57  74770[0:SpL:742.0,951.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),z)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,z),hAPP(y,z)))*.
% 299.87/300.57  73509[0:SpR:742.0,952.2] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(w,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(u)),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  70173[0:Obv:70103.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),x))**.
% 299.87/300.57  72609[0:SpL:1659.1,464.1] class_Rings_Oring(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.57  76286[0:SpL:994.1,464.1] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x),y))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.57  43836[0:SpR:742.0,687.1] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))))**.
% 299.87/300.57  44101[0:SpR:687.1,742.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),y),z),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),z),hAPP(y,z)))*.
% 299.87/300.57  43969[0:SpR:687.1,742.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),z),hAPP(hAPP(y,z),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)))*.
% 299.87/300.57  64873[0:Res:937.2,12538.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf48(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  64876[0:Res:937.2,12183.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf60(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  73616[0:Res:991.2,464.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))))*.
% 299.87/300.57  22507[0:SpL:595.1,12538.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf48(w))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf48(w))))))*.
% 299.87/300.57  22503[0:SpL:595.1,12183.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(w))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf60(w))))))*.
% 299.87/300.57  22670[0:SpL:594.1,12538.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(w))),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(w))))))*.
% 299.87/300.57  22666[0:SpL:594.1,12183.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(w))),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(w))))))*.
% 299.87/300.57  22661[0:SpL:594.1,384.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))))))*.
% 299.87/300.57  48853[0:SpR:742.0,746.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Oplus__class_Oplus(u)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))**.
% 299.87/300.57  49674[0:SpR:816.1,746.1] class_Groups_Oab__group__add(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),x)),x)**.
% 299.87/300.57  57913[0:SpL:878.1,855.1] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))* -> c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,w)) equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.57  72885[0:SpL:999.1,464.1] class_RealVector_Oreal__normed__algebra(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.57  73710[0:SSi:73699.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)).
% 299.87/300.57  79185[0:SpR:12636.1,1074.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf48(c_fequal(skf56(u,v))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v))**.
% 299.87/300.57  79722[0:SpR:12636.1,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf48(c_fequal(skf56(u,v))))))*.
% 299.87/300.57  79685[0:SpR:12636.1,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf48(c_fequal(skf56(u,v))))),v))*.
% 299.87/300.57  44929[0:SpR:1657.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)))))*.
% 299.87/300.57  78577[0:SpR:12636.1,1073.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(skf56(u,v)))),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))**.
% 299.87/300.57  79427[0:SpR:12636.1,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),skf48(c_fequal(skf56(u,v))))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),v))*.
% 299.87/300.57  79464[0:SpR:12636.1,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_fequal(skf56(u,v)))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)))*.
% 299.87/300.57  45069[0:SpR:753.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)))))*.
% 299.87/300.57  42849[0:SpR:590.1,691.1] class_Rings_Oring__1(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w),x)))*.
% 299.87/300.57  44035[0:SpR:590.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),z)),hAPP(y,c_Int_Oring__1__class_Oof__int(u,z))))*.
% 299.87/300.57  43903[0:SpR:590.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(y,c_Int_Oring__1__class_Oof__int(u,z)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),z))))*.
% 299.87/300.57  55662[0:SpR:837.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(u)),y),c_Int_Oring__1__class_Oof__int(u,z)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),z),hAPP(y,c_Int_Oring__1__class_Oof__int(u,z)))))*.
% 299.87/300.57  72880[0:SpR:590.1,999.1] class_Rings_Oring__1(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Int_Oring__1__class_Oof__int(u,w))))*.
% 299.87/300.57  72604[0:SpR:590.1,1659.1] class_Rings_Oring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Int_Oring__1__class_Oof__int(u,w))))*.
% 299.87/300.57  73682[0:SpR:590.1,988.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.57  73594[0:SpR:590.1,991.2] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.57  73788[0:SpR:590.1,972.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.57  74292[0:SpL:590.1,986.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.57  74476[0:SpL:590.1,970.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.57  75146[0:SpL:590.1,989.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),v)).
% 299.87/300.57  74979[0:SpL:590.1,992.1] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),v)).
% 299.87/300.57  75263[0:SpL:590.1,973.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),v)).
% 299.87/300.57  73899[0:SpL:590.1,987.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.57  75164[0:SpL:590.1,989.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  74997[0:SpL:590.1,992.1] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  74087[0:SpL:590.1,971.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.57  75281[0:SpL:590.1,973.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  70102[0:SpR:590.1,1686.1] class_Rings_Oring__1(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),w)))*.
% 299.87/300.57  70549[0:SpR:590.1,1685.1] class_Rings_Oring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Int_Oring__1__class_Oof__int(u,v))))*.
% 299.87/300.57  71355[0:SpR:590.1,997.1] class_Rings_Oring__1(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),w)))*.
% 299.87/300.57  71084[0:SpR:590.1,1660.1] class_Rings_Oring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),w)))*.
% 299.87/300.57  73664[0:SpR:590.1,988.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  73576[0:SpR:590.1,991.2] class_Rings_Oring__1(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  73770[0:SpR:590.1,972.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  60633[0:Rew:837.1,60478.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf48(w))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  59755[0:Rew:837.1,59608.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(w))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  75597[0:SpL:878.1,961.1] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,w)).
% 299.87/300.57  79542[0:SSi:79482.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),v)))*.
% 299.87/300.57  79354[0:SSi:79201.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))))**.
% 299.87/300.57  79806[0:SSi:79740.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))))*.
% 299.87/300.57  79807[0:SSi:79703.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w))),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))))*.
% 299.87/300.57  78706[0:SSi:78592.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),w))**.
% 299.87/300.57  79543[0:SSi:79445.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,w)),u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v))))*.
% 299.87/300.57  78338[0:SSi:78249.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w))**.
% 299.87/300.57  60480[0:SpL:902.2,12538.0] class_Rings_Oidom(u) || equal(v,skf48(w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(w)))))*.
% 299.87/300.57  59609[0:SpL:902.2,12183.0] class_Rings_Oidom(u) || equal(v,skf60(w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(w)))))*.
% 299.87/300.57  50008[0:SpL:748.2,12641.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x))*.
% 299.87/300.57  49866[0:SpL:752.2,12641.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x))*.
% 299.87/300.57  43987[0:SpR:689.2,742.0] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),c_Polynomial_Ocoeff(u,v)),x2),hAPP(hAPP(x1,x2),hAPP(c_Polynomial_Ocoeff(u,w),x2)))*.
% 299.87/300.57  44119[0:SpR:689.2,742.0] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_Ocoeff(u,v)),x1),x2),hAPP(hAPP(c_Polynomial_Ocoeff(u,w),x2),hAPP(x1,x2)))*.
% 299.87/300.57  43918[0:SpR:685.2,742.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Polynomial_Osmult(u),v)),x1),hAPP(hAPP(z,x1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.57  44050[0:SpR:685.2,742.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Polynomial_Osmult(u),v)),z),x1),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(z,x1)))**.
% 299.87/300.57  69497[0:SpL:742.0,3665.0] || hBOOL(hAPP(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(y,z))),x1),z)** -> hBOOL(hAPP(u,x1))*.
% 299.87/300.57  69603[0:SpL:742.0,3665.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),z))* equal(y,c_Int_Onat__aux(skf48(c_fequal(z)),x1))* -> hBOOL(hAPP(hAPP(x,z),x1))*.
% 299.87/300.57  1279[0:Inp] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(hAPP(c_Polynomial_OpCons(u),y),x))* -> equal(x,c_Polynomial_Osynthetic__div(u,v,w)).
% 299.87/300.57  76302[0:Rew:994.1,76283.3] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__0(u) || equal(v,w) -> equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w),y),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v),y))*.
% 299.87/300.57  65948[0:SpR:503.2,941.1] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w))**.
% 299.87/300.57  72288[0:SpL:956.1,897.1] class_Rings_Oring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),w),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))* -> equal(w,c_Int_Oring__1__class_Oof__int(u,x)).
% 299.87/300.57  72289[0:SpL:956.1,896.1] class_Rings_Oring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),w),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))* -> equal(w,c_Int_Oring__1__class_Oof__int(u,x)).
% 299.87/300.57  72286[0:SpL:956.1,895.1] class_Rings_Oring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)))* -> equal(v,c_Int_Oring__1__class_Oof__int(u,x)).
% 299.87/300.57  50535[0:Res:779.2,12641.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,w)))* equal(w,skf48(c_fequal(x)))* -> equal(v,hAPP(c_Int_Onat,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.57  50444[0:Res:776.2,12641.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,w)))* equal(w,skf48(c_fequal(x)))* -> equal(v,hAPP(c_Int_Onat,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.57  1707[0:Rew:219.0,1416.2] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.57  64874[0:Res:937.2,12641.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Int_Onat,w)))* equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))*.
% 299.87/300.57  44063[0:SpR:554.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),y)),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(z,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.57  43931[0:SpR:554.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),z)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.57  59471[0:Rew:15222.0,59432.2,15222.0,59432.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(c_Nat_OSuc,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(c_Nat_OSuc,v))))*.
% 299.87/300.57  68542[0:SpL:742.0,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),y),z)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(y,z))),z))*.
% 299.87/300.57  77031[0:Res:963.2,464.1] class_Orderings_Owellorder(u) || SkP2(v,w,x)* SkP1(v,w,x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* hBOOL(hAPP(hAPP(v,w),c_Orderings_Oord__class_OLeast(u,hAPP(v,w))))*.
% 299.87/300.57  69094[0:SpR:742.0,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(v,w))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),w)))*.
% 299.87/300.57  76717[0:SpR:313.1,963.2] class_Lattices_Oab__semigroup__idem__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.57  68062[0:Res:871.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> equal(hAPP(c_Nat_OSuc,u),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,u))),w))*.
% 299.87/300.57  76684[0:SpR:71409.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  76685[0:SpR:49304.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  76687[0:SpR:308.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  76932[0:SpR:550.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  56212[0:Res:725.2,843.1] class_Rings_Olinordered__idom(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Nat_Osemiring__1__class_Oof__nat(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.57  56213[0:Res:724.2,843.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Nat_Osemiring__1__class_Oof__nat(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.57  76690[0:SpR:273.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.57  76645[0:SpR:1607.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u,v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  68295[0:SpL:742.0,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y)),z))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,y),c_Int_Onat__aux(skf48(c_fequal(z)),hAPP(x,y))))*.
% 299.87/300.57  68674[0:SpR:742.0,3720.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(w,u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),u)),v))*.
% 299.87/300.57  69375[0:SpR:742.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(v,w))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),w)))*.
% 299.87/300.57  73607[0:Res:991.2,875.0] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),w))*.
% 299.87/300.57  52332[0:Res:871.1,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(hAPP(c_Nat_OSuc,u),v).
% 299.87/300.57  71440[0:Rew:999.1,71292.3] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.57  49725[0:SpL:816.1,447.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  49670[0:SpR:816.1,448.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.57  68841[0:SpR:742.0,3724.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),c_Int_Onat__aux(skf48(c_fequal(hAPP(x,y))),z)))*.
% 299.87/300.57  68902[0:Rew:47909.0,68901.0,47909.0,68901.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(v)),x))))*.
% 299.87/300.57  68905[0:Rew:3724.0,68808.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(x)),w))))*.
% 299.87/300.57  69660[0:Res:576.2,3665.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),y))*.
% 299.87/300.57  80472[0:Rew:276.0,80422.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)))*.
% 299.87/300.57  69687[0:Res:1630.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),x))*.
% 299.87/300.57  69394[0:Res:3738.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),x))*.
% 299.87/300.57  42099[0:Rew:42008.1,1295.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),hAPP(c_Nat_OSuc,skf52(u,w))))*.
% 299.87/300.57  69159[0:MRR:69133.1,251.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.57  68567[0:Res:539.0,3696.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),u)).
% 299.87/300.57  68691[0:Res:3720.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.57  48390[0:Res:740.1,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),v).
% 299.87/300.57  79965[0:SSi:79887.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.57  79962[0:SSi:79929.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w))))*.
% 299.87/300.57  61226[0:SpR:3703.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))*.
% 299.87/300.57  61377[0:SpR:3703.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))*.
% 299.87/300.57  61486[0:SpL:3703.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))).
% 299.87/300.57  61717[0:SpL:3703.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))).
% 299.87/300.57  61526[0:SpL:3703.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)).
% 299.87/300.57  59413[0:SpR:3703.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.87/300.57  61757[0:SpL:3703.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)).
% 299.87/300.57  59836[0:SpR:3703.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.87/300.57  60737[0:SpR:3703.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.57  78986[0:SSi:78901.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w))**.
% 299.87/300.57  78829[0:SpR:1059.0,3704.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),u))**.
% 299.87/300.57  59373[0:SpR:3703.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  59796[0:SpR:3703.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  60697[0:SpR:3703.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))**.
% 299.87/300.57  61186[0:SpR:3703.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  61337[0:SpR:3703.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  59374[0:SpR:3704.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)))*.
% 299.87/300.57  59797[0:SpR:3704.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)))*.
% 299.87/300.57  60698[0:SpR:3704.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.57  61378[0:SpR:3704.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))))*.
% 299.87/300.57  61227[0:SpR:3704.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))))*.
% 299.87/300.57  61487[0:SpL:3704.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))).
% 299.87/300.57  61718[0:SpL:3704.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))).
% 299.87/300.57  61187[0:SpR:3704.0,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.57  61338[0:SpR:3704.0,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)))*.
% 299.87/300.57  61758[0:SpL:3704.0,3767.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)).
% 299.87/300.57  59837[0:SpR:3704.0,3760.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.57  61527[0:SpL:3704.0,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)).
% 299.87/300.57  59414[0:SpR:3704.0,3759.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.57  60738[0:SpR:3704.0,3762.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.57  80738[0:SSi:80687.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),w)).
% 299.87/300.57  80130[0:SSi:80046.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)),u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.57  80127[0:SSi:80088.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)),v)))*.
% 299.87/300.57  80741[0:SSi:80645.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),v)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w))).
% 299.87/300.57  78233[0:SpR:12953.0,1078.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(v))),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))),w))**.
% 299.87/300.57  78604[0:SpL:1073.0,12673.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf48(c_fequal(hAPP(c_Nat_OSuc,x))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),u))*.
% 299.87/300.57  79017[4:MRR:79016.0,8759.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w))),w).
% 299.87/300.57  76693[0:SpR:2526.0,963.2] || SkP2(c_Nat_OSuc,hAPP(c_Int_Onat,u),v) SkP1(c_Nat_OSuc,hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.57  55518[0:SpR:852.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(u)),y),c_Nat_Osemiring__1__class_Oof__nat(u,z)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),z),hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,z)))))*.
% 299.87/300.57  60634[0:Rew:852.1,60477.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf48(w))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  59756[0:Rew:852.1,59607.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(w))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  66617[0:SpL:3723.1,384.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  43625[0:SpR:444.1,739.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),x,w))*.
% 299.87/300.57  73131[0:SpR:959.1,1661.1] class_Rings_Osemiring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))**.
% 299.87/300.57  65896[0:Rew:739.1,65812.2,739.1,65812.2] class_Lattices_Oab__semigroup__idem__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,x)),y),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),y))**.
% 299.87/300.57  43626[0:SpR:496.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.57  43647[0:SpR:442.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.57  68052[0:Res:833.2,974.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))),w))*.
% 299.87/300.57  77222[0:Res:939.2,1928.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.57  68081[0:Rew:1878.0,68056.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))),v))*.
% 299.87/300.57  59224[0:Res:1901.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(v,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))*.
% 299.87/300.57  77413[0:Res:937.2,1898.2] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> .
% 299.87/300.57  77220[0:Res:937.2,1928.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))*.
% 299.87/300.57  77425[0:MRR:77419.0,243.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u)))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),u))),u)**.
% 299.87/300.57  76879[0:SpR:608.2,963.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Groups_Otimes__class_Otimes(u),v,w)* SkP1(c_Groups_Otimes__class_Otimes(u),v,w) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.57  76950[0:SpR:609.2,963.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Groups_Otimes__class_Otimes(u),w,v)* SkP1(c_Groups_Otimes__class_Otimes(u),w,v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.57  63196[0:Res:922.2,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP0(v,u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> equal(hAPP(c_Int_Onat,v),hAPP(c_Int_Onat,u)).
% 299.87/300.57  77099[0:MRR:76910.4,14543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),u)* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v),u) -> hBOOL(hAPP(c_Nat_OSuc,skf44(u,v))).
% 299.87/300.57  55098[0:SpL:590.1,865.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  54939[0:SpR:590.1,864.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.57  55024[0:SpL:590.1,894.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.57  54564[0:SpR:590.1,893.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.57  55447[0:SpL:590.1,867.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  55314[0:SpR:590.1,866.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  55364[0:SpL:590.1,892.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  55229[0:SpR:590.1,891.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))*.
% 299.87/300.57  76686[0:SpR:20457.1,963.2] class_Rings_Oring__1(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  29783[0:SpL:615.2,12641.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),w))*.
% 299.87/300.57  29943[0:SpL:613.2,12641.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),w))*.
% 299.87/300.57  60925[0:SpL:902.2,16218.0] class_Rings_Oidom(u) || equal(v,skf47(w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(w)))))*.
% 299.87/300.57  22508[0:SpL:595.1,16218.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf47(w))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf47(w))))))*.
% 299.87/300.57  22671[0:SpL:594.1,16218.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf47(w))),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf47(w))))))*.
% 299.87/300.57  61054[0:Rew:837.1,60924.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf47(w))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  61055[0:Rew:852.1,60923.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf47(w))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  64881[0:Res:937.2,16218.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf47(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  61008[0:Res:893.2,16218.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))),skf60(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))))))*.
% 299.87/300.57  60991[0:Res:864.2,16218.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf47(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))),skf60(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(v))))))*.
% 299.87/300.57  66393[8:SpR:49088.0,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u),hAPP(c_Nat_OSuc,skf44(u,skf62(c_Int_Onat,skf47(c_Int_Onat)))))**.
% 299.87/300.57  60236[0:SpL:902.2,12380.0] class_Rings_Oidom(u) || equal(v,skf57(w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(w)))))*.
% 299.87/300.57  22506[0:SpL:595.1,12380.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf57(w))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf57(w))))))*.
% 299.87/300.57  22669[0:SpL:594.1,12380.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf57(w))),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf57(w))))))*.
% 299.87/300.57  60365[0:Rew:837.1,60235.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf57(w))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  60366[0:Rew:852.1,60234.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf57(w))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  64871[0:Res:937.2,12380.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf57(w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  60319[0:Res:893.2,12380.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))),skf60(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))))))*.
% 299.87/300.57  60302[0:Res:864.2,12380.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),skf57(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))),skf60(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(v))))))*.
% 299.87/300.57  78534[0:SpR:1073.0,788.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))),w))*.
% 299.87/300.57  78602[0:SpL:1073.0,786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w)).
% 299.87/300.57  45178[0:Res:788.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 299.87/300.57  57684[0:SpL:902.2,4192.0] class_Rings_Oidom(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.57  76689[0:SpR:263.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint),v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),v)).
% 299.87/300.57  54585[0:Res:893.2,4192.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.57  54972[0:Res:864.2,4192.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.57  76820[0:SpR:26576.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  22505[0:SpL:595.1,4192.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.57  22668[0:SpL:594.1,4192.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 299.87/300.57  78524[0:SpR:1073.0,783.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.57  78525[0:SpR:1073.0,785.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.57  78600[0:SpL:1073.0,784.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))).
% 299.87/300.57  55577[0:Rew:852.1,55551.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  55735[0:Rew:837.1,55705.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  64877[0:Res:937.2,4192.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  50529[0:Res:779.2,383.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(u,v)))))* -> equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(u,v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.57  50438[0:Res:776.2,383.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(u,v)))))* -> equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(u,v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 299.87/300.57  66443[8:SpL:49088.0,915.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf51(skf62(c_Int_Onat,skf47(c_Int_Onat)),v)),skf62(c_Int_Onat,skf47(c_Int_Onat))))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  65869[0:SpL:931.1,924.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))* -> equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  1260[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  43881[0:SpR:690.2,742.0] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v),hAPP(hAPP(z,v),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.57  44013[0:SpR:690.2,742.0] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),z),v),hAPP(c_Groups_Oone__class_Oone(u),hAPP(z,v)))**.
% 299.87/300.57  1262[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  1264[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  69650[0:Res:10083.1,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf50(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w))*.
% 299.87/300.57  48313[0:Rew:551.0,48186.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,w)),v)) equal(skf48(c_fequal(skf62(hAPP(c_COMBC(x,y,z,u),v),w))),w)**.
% 299.87/300.57  1261[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  1265[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  76647[0:SpR:293.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u,v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  76650[0:SpR:307.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u,v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  47849[0:SpL:3757.0,3742.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  48214[0:Res:12638.1,647.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w).
% 299.87/300.57  48215[0:Res:12638.1,644.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w).
% 299.87/300.57  48216[0:Res:12638.1,648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w).
% 299.87/300.57  41363[0:Res:1649.2,583.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.87/300.57  41364[0:Res:1649.2,584.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.87/300.57  48118[0:SpR:448.2,12638.1] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(c_Groups_Ouminus__class_Ouminus(u),v))),v)**.
% 299.87/300.57  47665[0:Rew:550.1,47538.3,550.1,47538.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf62(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  47508[0:SpL:503.2,805.1] class_Groups_Ogroup__add(u) || equal(skf62(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  41529[0:SpL:590.1,735.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,v),w)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.57  48230[0:Res:12638.1,653.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w))),w).
% 299.87/300.57  48231[0:Res:12638.1,655.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w))),w).
% 299.87/300.57  41645[0:Res:509.1,735.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.57  41646[0:Res:507.1,735.0] class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.57  41647[0:Res:508.1,735.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.57  41779[0:Res:510.1,735.0] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.87/300.57  65897[4:MRR:65875.1,41857.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.57  41605[0:SpL:565.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.57  71369[0:SpL:997.1,620.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  71098[0:SpL:1660.1,620.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  43904[0:SpR:686.1,742.0] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),c_Polynomial_Opoly(u,w)),v),hAPP(hAPP(x1,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  44036[0:SpR:686.1,742.0] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_Opoly(u,w)),x1),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x1,v)))**.
% 299.87/300.57  42787[0:SpL:686.1,735.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.57  43318[0:SpL:689.2,735.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),x))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(x,y)),x))*.
% 299.87/300.57  48166[0:SpR:393.1,12638.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.57  72003[0:SSi:71950.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),v),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)) equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  54517[0:SpL:890.3,12569.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf57(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),skf48(c_fequal(v))))*.
% 299.87/300.57  54515[0:SpL:890.3,383.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  54580[0:Res:893.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.57  54967[0:Res:864.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.57  54996[0:MRR:54995.1,1881.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))**.
% 299.87/300.57  77918[0:Rew:294.0,77871.1,1079.0,77871.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.57  72002[0:SSi:71951.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> equal(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)) equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  51373[0:Res:536.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))*.
% 299.87/300.57  50582[0:Res:874.1,12726.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),skf48(c_fequal(w)))*.
% 299.87/300.57  51448[0:Rew:550.1,51332.3] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.57  51301[0:SpL:503.2,12635.0] class_Groups_Ogroup__add(u) || equal(skf48(c_fequal(skf58(c_Groups_Ouminus__class_Ouminus(u)))),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.57  73397[0:SSi:73380.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.57  67257[0:SpL:742.0,965.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),y),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(y,u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  64597[0:SSi:64572.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))))* equal(skf48(c_fequal(skf62(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.57  53933[0:Res:779.2,826.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.57  53934[0:Res:776.2,826.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.57  77599[0:Res:692.1,1030.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* -> .
% 299.87/300.57  77603[0:Res:12957.1,1030.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),skf48(c_fequal(u))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf48(c_fequal(v)))) -> .
% 299.87/300.57  48210[0:Res:12638.1,12546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** equal(skf48(c_fequal(skf64(hAPP(c_Int_Onat,u)))),hAPP(c_Int_Onat,u)).
% 299.87/300.57  52460[0:Res:536.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  55166[0:SSi:55113.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 299.87/300.57  55165[0:SSi:55114.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))).
% 299.87/300.57  54988[0:SSi:54954.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))*.
% 299.87/300.57  57683[0:SpL:902.2,4191.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.57  72349[0:Rew:72348.1,66640.3] class_Rings_Oring__1(u) class_Rings_Osemiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w)))),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(v,w)))**.
% 299.87/300.57  72347[0:Rew:72346.1,66641.3] class_Rings_Oring__1(u) class_Rings_Osemiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),skf48(c_fequal(w))),v)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(v,w)))**.
% 299.87/300.57  72315[0:Rew:72314.1,47366.3] class_Rings_Oring__1(u) class_Rings_Osemiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.57  53270[0:SpR:448.2,12637.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(c_Groups_Ouminus__class_Ouminus(u),v))),v)**.
% 299.87/300.57  53323[0:SpR:555.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))),v).
% 299.87/300.57  53333[0:SpR:558.2,12637.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),v)**.
% 299.87/300.57  53334[0:SpR:556.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),v).
% 299.87/300.57  51727[0:Res:779.2,828.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  51728[0:Res:776.2,828.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  68361[0:Rew:3632.0,68331.2] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),c_Int_Onat__aux(u,w))).
% 299.87/300.57  53378[0:Res:12637.0,21720.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))),u) equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Int_Onat,u))),hAPP(c_Int_Onat,u))**.
% 299.87/300.57  53384[0:Res:12637.0,695.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u))),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(c_Int_Onat,u))).
% 299.87/300.57  53289[0:SpR:597.2,12637.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Int_Onat,w)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))),w)**.
% 299.87/300.57  53290[0:SpR:598.2,12637.0] class_Groups_Oab__group__add(u) || equal(v,hAPP(c_Int_Onat,w)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))),w)**.
% 299.87/300.57  53291[0:SpR:685.2,12637.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_Osmult(u),v),w))),w)**.
% 299.87/300.57  53296[0:SpR:594.1,12637.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,w))),w))),w)**.
% 299.87/300.57  53329[0:SpR:595.1,12637.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,w))),w))),w)**.
% 299.87/300.57  53342[0:SpR:602.0,12637.0] ||  -> hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(hAPP(c_COMBB(x,y,z),u),v),w))),w)**.
% 299.87/300.57  52518[0:Rew:550.1,52423.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf62(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.57  52392[0:SpL:503.2,839.0] class_Groups_Ogroup__add(u) || equal(skf62(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.57  1268[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))* equal(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.57  1267[0:Inp] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.57  76683[0:SpR:267.0,963.2] || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.57  76797[0:SpR:19381.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.57  54584[0:Res:893.2,4191.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.57  54971[0:Res:864.2,4191.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.57  22504[0:SpL:595.1,4191.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.57  22667[0:SpL:594.1,4191.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.57  47334[0:Res:808.1,735.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,v)),c_Int_Oring__1__class_Oof__int(u,v))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.57  45236[0:Res:819.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.57  55389[0:SSi:55383.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  55272[0:SSi:55253.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.57  55578[0:Rew:852.1,55550.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.57  55736[0:Rew:837.1,55704.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf60(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.57  64875[0:Res:937.2,4191.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf60(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.57  78705[0:SSi:78612.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.57  79352[0:SSi:79351.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.57  48470[0:SpL:744.2,12641.0] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),x),w))*.
% 299.87/300.57  78719[0:Rew:1073.0,78628.1,267.0,78628.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.57  157339[0:Rew:2526.0,157333.1,2526.0,157333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u))),u)**.
% 299.87/300.57  166297[0:SpR:108628.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  168456[0:SSi:168402.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),w)).
% 299.87/300.57  168459[0:SSi:168361.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w))).
% 299.87/300.57  169783[0:Res:939.2,1053.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))*.
% 299.87/300.57  169778[0:Res:937.2,1053.0] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),w))*.
% 299.87/300.57  170214[0:Res:1913.2,938.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)))*.
% 299.87/300.57  170237[0:SSi:170223.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)),v))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u),v).
% 299.87/300.57  170969[0:SpR:752.2,1085.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  170963[0:SpR:3723.1,1085.2] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171090[0:SpR:752.2,1036.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171084[0:SpR:3723.1,1036.2] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171211[0:SpR:752.2,1038.2] class_Groups_Ogroup__add(u) class_Rings_Olinordered__idom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171205[0:SpR:3723.1,1038.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171388[0:SpL:752.2,1086.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171382[0:SpL:3723.1,1086.1] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  171500[0:SpL:752.2,1037.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171494[0:SpL:3723.1,1037.1] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  171549[0:SSi:171539.1,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  171550[0:SSi:171529.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.57  171618[0:SpL:752.2,1039.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__idom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  171612[0:SpL:3723.1,1039.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  172321[0:SpL:1683.1,464.1] class_Rings_Ocomm__ring(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_Osmult(u),w))))*.
% 299.87/300.57  172305[0:SpR:448.2,1683.1] class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),v))**.
% 299.87/300.57  172390[0:SpR:170043.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.57  172431[0:SpR:1064.1,1661.1] class_Power_Opower(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.57  172553[0:SSi:172497.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  172557[0:SSi:172419.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.57  172942[0:SpL:1065.1,24466.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  172971[0:SSi:172929.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  172972[0:SSi:172921.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  173231[0:SpL:1091.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  173191[0:SpL:1091.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(u),v))))*.
% 299.87/300.57  173181[0:SpL:1091.1,751.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v).
% 299.87/300.57  173069[0:SpR:1091.1,752.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  173582[0:SpL:752.2,1084.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  173576[0:SpL:3723.1,1084.1] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))).
% 299.87/300.57  173772[0:SpR:752.2,1083.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  173766[0:SpR:3723.1,1083.2] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))))*.
% 299.87/300.57  173823[0:SSi:173810.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),v)* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),skf48(c_fequal(v)))*.
% 299.87/300.57  174048[0:SpL:752.2,1041.1] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  174042[0:SpL:3723.1,1041.1] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))).
% 299.87/300.57  174102[0:SSi:174077.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)).
% 299.87/300.57  174200[0:SpR:752.2,1040.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.57  174194[0:SpR:3723.1,1040.2] class_Rings_Osemiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),v))))*.
% 299.87/300.57  174360[0:SSi:174354.0,122.1] class_Rings_Oidom(u) || equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(c_Polynomial_Omonom(u,w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.57  174529[0:Res:5870.1,1006.0] || equal(skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174524[0:Res:5871.1,1006.0] || equal(skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174523[0:Res:63058.1,1006.0] || SkP0(skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174498[0:Res:428.2,1006.0] class_Orderings_Oorder(u) || equal(skf68(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.57  174497[0:Res:1639.2,1006.0] class_Orderings_Olinorder(u) || equal(skf68(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.57  174859[0:Res:5870.1,1009.0] || equal(skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174853[0:Res:5871.1,1009.0] || equal(skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174852[0:Res:63058.1,1009.0] || SkP0(skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  174827[0:Res:428.2,1009.0] class_Orderings_Oorder(u) || equal(skf67(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.57  174826[0:Res:1639.2,1009.0] class_Orderings_Olinorder(u) || equal(skf67(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.57  175072[0:Res:1087.2,938.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.57  175053[0:SpR:1659.1,1087.2] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))*.
% 299.87/300.57  175052[0:SpR:999.1,1087.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))*.
% 299.87/300.57  175104[0:SSi:175081.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),u).
% 299.87/300.57  175323[0:Res:1088.2,938.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.57  175296[0:SpR:1660.1,1088.2] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))))*.
% 299.87/300.57  175295[0:SpR:997.1,1088.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))))*.
% 299.87/300.57  175356[0:SSi:175332.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),u).
% 299.87/300.57  175593[0:Res:939.2,1089.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))).
% 299.87/300.57  175564[0:SpL:1659.1,1089.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)).
% 299.87/300.57  175563[0:SpL:999.1,1089.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)).
% 299.87/300.57  175632[0:SSi:175583.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))*.
% 299.87/300.57  175875[0:Res:939.2,1090.1] class_Rings_Ocomm__ring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))).
% 299.87/300.57  175838[0:SpL:1660.1,1090.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x)).
% 299.87/300.57  175837[0:SpL:997.1,1090.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x)).
% 299.87/300.57  175916[0:SSi:175865.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))*.
% 299.87/300.57  176376[0:Res:5870.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  176369[0:Res:16875.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.57  176363[0:Res:222.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.57  176360[0:Res:5871.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  176359[0:Res:63058.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || SkP0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  176307[0:Res:428.2,1081.2] class_Orderings_Oorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf41(c_Orderings_Oord__class_Oless__eq(u,w),z,x1)))*.
% 299.87/300.57  176306[0:Res:1639.2,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),skf41(c_Orderings_Oord__class_Oless__eq(u,w),z,x1)))*.
% 299.87/300.57  176457[4:MRR:176255.2,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.57  176459[4:MRR:176236.3,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),y,z)))*.
% 299.87/300.57  176461[18:MRR:176205.3,111803.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),skf41(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),y,z)))*.
% 299.87/300.57  176751[0:SSi:176628.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.57  177064[0:SSi:176927.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.57  177065[0:SSi:176889.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.57  176458[2:MRR:176254.2,4367.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.57  176370[2:Res:51888.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x,y)))*.
% 299.87/300.57  176449[0:Rew:19349.0,176270.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  176046[2:Res:146401.1,1009.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  175953[2:Res:64525.1,1009.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  175771[2:Res:64591.1,1009.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  176044[2:Res:146401.1,1006.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  175951[2:Res:64525.1,1006.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  175769[2:Res:64591.1,1006.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.57  161100[2:Res:146402.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)).
% 299.87/300.57  176358[2:Res:64525.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  176361[2:Res:146401.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  176375[2:Res:64591.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.57  60636[0:Rew:1657.0,60458.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.87/300.57  59758[0:Rew:1657.0,59589.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.87/300.57  61057[0:Rew:1657.0,60905.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf47(v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.87/300.57  60368[0:Rew:1657.0,60216.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf57(v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.87/300.57  44990[0:Rew:1657.0,44964.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 299.87/300.57  177369[0:SSi:177237.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.57  177787[0:SSi:177665.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.57  178113[0:SSi:177941.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v))*.
% 299.87/300.57  178114[0:SSi:177903.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.57  178199[0:Res:776.2,1044.1] class_Orderings_Olinorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  178198[0:Res:779.2,1044.1] class_Orderings_Oorder(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v))* -> equal(v,w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.57  178352[0:SSi:178225.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.57  178635[0:SSi:178506.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v))*.
% 299.87/300.57  178636[0:SSi:178468.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.57  179033[0:SpL:1092.2,24466.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  179024[0:SpL:1092.2,51176.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.57  178995[0:SpL:1092.2,24466.0] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  178986[0:SpL:1092.2,51176.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),v))))*.
% 299.87/300.57  179080[0:SSi:179019.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  179081[0:SSi:178981.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  179082[0:SSi:178913.1,127.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.57  179087[0:SSi:178825.1,127.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.57  179381[0:SSi:179279.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),w),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.57  179382[0:Rew:1082.1,179198.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)))**.
% 299.87/300.57  179383[0:Rew:1082.1,179197.2] class_Rings_Ocomm__semiring__1(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)))**.
% 299.87/300.57  179893[0:SpL:1075.0,591.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),x)))*.
% 299.87/300.57  179874[0:SpL:1075.0,557.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),hAPP(c_Nat_OSuc,y)),x)** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),y),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.57  179858[0:SpL:1075.0,596.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y),x).
% 299.87/300.57  179857[0:SpL:1075.0,599.1] class_Groups_Oab__group__add(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y),x).
% 299.87/300.57  179847[0:SpR:15222.0,1075.0] ||  -> equal(hAPP(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Nat_OSuc),c_Int_Onat__aux(u,v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Nat_OSuc),c_Int_Onat__aux(u,v)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.57  179801[0:SpR:170043.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179789[0:SpR:273.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179788[0:SpR:263.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179787[0:SpR:19381.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179785[0:SpR:284.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179747[0:SpR:272.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179746[0:SpR:262.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179738[0:SpR:268.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179737[0:SpR:267.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179679[0:SpR:285.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_COMBK(x,y),u)),z),x1)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_COMBK(x,y),u)),z),hAPP(c_Nat_OSuc,x1)))*.
% 299.87/300.57  179669[0:SpR:308.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179668[0:SpR:20457.1,1075.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179667[0:SpR:49304.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179666[0:SpR:71409.1,1075.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179660[0:SpR:266.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.57  179649[0:SpR:274.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_Onat_Onat__case(x,u,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),z)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Nat_Onat_Onat__case(x,u,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,z)))*.
% 299.87/300.57  179623[0:SpR:5859.1,1075.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179551[0:SpR:1075.0,593.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),x)))* -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  179506[0:SpR:1075.0,558.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),y),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),hAPP(c_Nat_OSuc,y)),x)**.
% 299.87/300.57  179497[0:SpR:1075.0,594.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),y)),x)**.
% 299.87/300.57  179492[0:SpR:1075.0,550.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),c_Groups_Ozero__class_Ozero(u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.57  179474[0:SpR:1075.0,595.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y)),x)**.
% 299.87/300.57  179473[0:SpR:1075.0,598.2] class_Groups_Oab__group__add(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y),x) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  179472[0:SpR:1075.0,597.2] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y),x) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.57  180283[0:SpL:71203.0,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),u)).
% 299.87/300.57  180469[0:SpL:2872.0,1104.2] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),skf55(v,u)))* -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.57  180654[0:SpL:1700.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  181433[0:SpR:9385.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Nat_OSuc),x),skf50(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(x,skf50(v))))*.
% 299.87/300.57  181417[0:SpR:9504.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,skf64(x))))**.
% 299.87/300.57  181412[0:SpR:365.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181411[0:SpR:319.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower_Opower(w,x,y),z)),x1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(x1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.57  181410[0:SpR:19349.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x)),hAPP(w,x)))*.
% 299.87/300.57  181393[0:SpR:3732.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x))),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(y,w)))**.
% 299.87/300.57  181390[0:SpR:347.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.57  181351[0:SpR:363.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181350[0:SpR:359.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181349[0:SpR:360.1,1098.1] class_Groups_Ocomm__monoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181316[0:SpR:351.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181315[0:SpR:354.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181314[0:SpR:355.1,1098.1] class_Groups_Omonoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.57  181297[0:SpR:175495.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(w,skf64(x))))**.
% 299.87/300.57  181296[0:SpR:175499.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.57  181295[0:SpR:174966.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,skf64(x))))**.
% 299.87/300.57  181271[0:SpR:393.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),x)),y),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,x)))**.
% 299.87/300.57  181255[0:SpR:308.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.57  181254[0:SpR:20457.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.57  181253[0:SpR:49304.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.57  181252[0:SpR:71409.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.57  181246[0:SpR:266.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))))*.
% 299.87/300.57  181237[0:SpR:2526.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_OSuc),w),hAPP(c_Int_Onat,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Onat__aux(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(w,hAPP(c_Int_Onat,x))))*.
% 299.87/300.57  181208[0:SpR:5859.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),x),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(x,v)))**.
% 299.87/300.57  181199[0:SpR:9385.1,1098.1] class_Groups_Ominus(u) || equal(c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Nat_OSuc),skf50(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,skf50(v))),v))*.
% 299.87/300.57  181183[0:SpR:9504.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf64(x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  181178[0:SpR:365.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181177[0:SpR:319.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower_Opower(x,y,z),x1)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),y))**.
% 299.87/300.57  181176[0:SpR:19349.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x)))*.
% 299.87/300.57  181159[0:SpR:3732.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),y))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),y))**.
% 299.87/300.57  181156[0:SpR:347.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),x))**.
% 299.87/300.57  181117[0:SpR:363.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181116[0:SpR:359.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181115[0:SpR:360.1,1098.1] class_Groups_Ocomm__monoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181082[0:SpR:351.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181081[0:SpR:354.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181080[0:SpR:355.1,1098.1] class_Groups_Omonoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.57  181063[0:SpR:175495.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf64(x))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  181062[0:SpR:175499.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  181061[0:SpR:174966.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf64(x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  181037[0:SpR:393.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),y)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  181021[0:SpR:308.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  181020[0:SpR:20457.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  181019[0:SpR:49304.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  181018[0:SpR:71409.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.57  181012[0:SpR:266.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))),x))*.
% 299.87/300.57  181003[0:SpR:2526.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_OSuc),hAPP(c_Int_Onat,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Int_Onat,x))),c_Int_Onat__aux(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.57  180974[0:SpR:5859.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  180966[0:SpR:594.1,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),x),y)),hAPP(x,y)),hAPP(w,y))**.
% 299.87/300.57  180962[0:SpR:598.2,1098.1] class_Groups_Oab__group__add(tc_fun(u,v)) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(w,y)),hAPP(x,y)))*.
% 299.87/300.57  180961[0:SpR:597.2,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(w,y)),hAPP(x,y)))*.
% 299.87/300.57  180939[0:SpR:1098.1,1685.1] class_Groups_Ominus(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Groups_Ouminus__class_Ouminus(u)),w),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(w,x)),x)))*.
% 299.87/300.57  180938[0:SpR:1098.1,1686.1] class_Groups_Ominus(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Groups_Ouminus__class_Ouminus(u)),w),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),hAPP(w,x))))*.
% 299.87/300.57  181569[0:SpL:1118.1,24466.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  181727[0:SpL:1114.1,24466.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  181962[0:SpL:1120.3,24466.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(w,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),v))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(c_Polynomial_OpCons(u),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  182386[0:SpL:5744.1,1892.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),u))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  182384[0:SpL:5744.1,1892.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  182336[0:SpL:5744.1,1892.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),w))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.87/300.57  182334[0:SpL:5744.1,1892.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),v))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  182556[0:SpL:5744.1,1890.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),u))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  182554[0:SpL:5744.1,1890.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  182506[0:SpL:5744.1,1890.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),v))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.57  182504[0:SpL:5744.1,1890.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),w))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))*.
% 299.87/300.57  182672[0:SpL:5744.1,53216.1] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.57  182654[0:SpL:5744.1,53216.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))*.
% 299.87/300.57  182639[2:SpL:63796.1,53216.1] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))*.
% 299.87/300.57  182636[0:SpL:5744.1,53216.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.57  182790[0:Res:1706.2,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.57  182769[0:SpR:5744.1,1706.2] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))*.
% 299.87/300.57  182751[0:SpR:5744.1,1706.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  182736[2:SpR:63796.1,1706.2] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))*.
% 299.87/300.57  182733[0:SpR:5744.1,1706.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.57  182906[0:Res:1134.2,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.57  182880[0:SpR:5744.1,1134.2] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))*.
% 299.87/300.57  182878[0:SpR:2135.1,1134.2] || equal(hAPP(c_Int_Onat,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  182923[2:Rew:1878.0,182863.3] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.57  182860[0:SpR:5744.1,1134.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  182842[0:SpR:5744.1,1134.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.57  182959[0:SpR:179303.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,x,y))),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Int_Oint))),x))**.
% 299.87/300.57  182958[0:SpR:179303.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,w,x))),y),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(y,c_Groups_Oone__class_Oone(tc_Int_Oint))))**.
% 299.87/300.57  183029[0:SpR:5744.1,12714.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))*.
% 299.87/300.57  183027[0:SpR:2135.1,12714.2] || equal(hAPP(c_Int_Onat,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.57  183009[0:SpR:5744.1,12714.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf48(c_fequal(w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.57  183234[0:SpR:183186.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),u,v)* SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat))),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  183380[0:SpL:1129.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))* -> SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w).
% 299.87/300.57  183379[0:SpL:1129.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))* -> SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w).
% 299.87/300.57  183368[0:SpR:5744.1,1129.1] || equal(u,hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.57  183353[2:SpR:63796.1,1129.1] || equal(u,skf49(c_fNot)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))**.
% 299.87/300.57  183350[0:SpR:5744.1,1129.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),w),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.57  183482[0:SpR:179307.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,y))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),x))**.
% 299.87/300.57  183481[0:SpR:179307.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,x))),y),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(y,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.57  183672[0:Res:1136.2,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.57  183646[0:SpR:5744.1,1136.2] || equal(u,hAPP(c_Int_Onat,v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),u))*.
% 299.87/300.57  183644[0:SpR:2135.1,1136.2] || equal(hAPP(c_Int_Onat,u),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  183626[0:SpR:5744.1,1136.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))*.
% 299.87/300.57  183608[0:SpR:5744.1,1136.2] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,w)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.57  183992[0:SpR:5744.1,1141.1] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),u))*.
% 299.87/300.57  183990[0:SpR:5744.1,1141.1] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x))))*.
% 299.87/300.57  183970[0:SpR:5744.1,1141.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)))*.
% 299.87/300.57  183968[0:SpR:5744.1,1141.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))))*.
% 299.87/300.57  183918[0:SpR:5744.1,1141.1] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x))))*.
% 299.87/300.57  184260[0:SpL:5744.1,1142.0] || equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v)).
% 299.87/300.57  184258[0:SpL:5744.1,1142.0] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)).
% 299.87/300.57  184238[0:SpL:5744.1,1142.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),x)).
% 299.87/300.57  184236[0:SpL:5744.1,1142.0] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v))*.
% 299.87/300.57  184186[0:SpL:5744.1,1142.0] || equal(u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)).
% 299.87/300.57  184317[0:SpR:179288.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),x))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  184316[0:SpR:179288.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,y)))**.
% 299.87/300.57  184309[0:SpR:179288.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.57  184519[0:SpR:5744.1,1139.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)),u))*.
% 299.87/300.57  184517[0:SpR:5744.1,1139.1] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))*.
% 299.87/300.57  184469[0:SpR:5744.1,1139.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))*.
% 299.87/300.57  184419[0:SpR:5744.1,1139.1] || equal(u,v)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)))*.
% 299.87/300.57  184564[0:SSi:184563.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),u)))*.
% 299.87/300.57  184572[0:SSi:184571.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.57  184593[0:SpR:179289.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),x))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  184592[0:SpR:179289.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),w))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(x,y)))**.
% 299.87/300.57  184585[0:SpR:179289.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.57  184674[0:SpR:184630.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),u,v)* SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))),u,v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.57  184809[0:SpL:5744.1,1893.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))* -> equal(x,v)*.
% 299.87/300.57  184807[0:SpL:5744.1,1893.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))* -> equal(w,x).
% 299.87/300.57  185036[0:SpL:13412.1,3769.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),x),c_Int_Onat__aux(skf48(c_fequal(w)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),u))*.
% 299.87/300.57  185034[0:SpL:3754.1,3769.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),w),c_Int_Onat__aux(skf48(c_fequal(u)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y))*.
% 299.87/300.57  185033[0:SpL:3753.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.57  185024[0:SpL:6450.1,3769.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),w),c_Int_Onat__aux(u,y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y))*.
% 299.87/300.57  185019[0:SpL:18347.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),skf50(c_Int_Onat__aux(skf48(c_fequal(u)),skf64(x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf50(skf64(x))))*.
% 299.87/300.57  185005[0:SpL:12545.1,3769.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(u,x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.57  184995[0:SpL:13412.1,3769.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),v),c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y))*.
% 299.87/300.57  184993[0:SpL:3754.1,3769.1] || equal(u,v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* equal(c_Int_Onat__aux(skf48(c_fequal(u)),x),c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),y))*.
% 299.87/300.57  184992[0:SpL:3753.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),x))*.
% 299.87/300.57  184983[0:SpL:6450.1,3769.1] || equal(u,skf48(c_fequal(v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* equal(c_Int_Onat__aux(u,x),c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),y))*.
% 299.87/300.57  184978[0:SpL:18347.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf50(skf64(v))))* equal(skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v))),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.57  184964[0:SpL:12545.1,3769.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* equal(c_Int_Onat__aux(u,w),c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),x))*.
% 299.87/300.57  185363[0:SpL:21749.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),x)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u,x)*.
% 299.87/300.57  185362[0:SpL:21749.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),x)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u,x)*.
% 299.87/300.57  185343[0:SpR:5744.1,21749.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(x,w)))*.
% 299.87/300.57  185341[0:SpR:13412.1,21749.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),v)),w),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(w,u)))*.
% 299.87/300.57  185404[0:Rew:3753.0,185338.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,v))),u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf44(u,v))))**.
% 299.87/300.57  185276[0:SpR:21749.1,6936.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  185252[0:SpR:21749.1,5744.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(w,u) -> equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),v)),w))*.
% 299.87/300.57  185537[0:SpL:21752.1,333.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),x)) -> SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u,x)*.
% 299.87/300.57  185536[0:SpL:21752.1,334.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),x)) -> SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u,x)*.
% 299.87/300.57  185517[0:SpR:5744.1,21752.1] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x),c_Int_Onat__aux(skf48(c_fequal(skf44(x,v))),w))*.
% 299.87/300.57  185513[0:SpR:3754.1,21752.1] || equal(u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),x)),w),c_Int_Onat__aux(skf48(c_fequal(skf44(w,v))),x))*.
% 299.87/300.57  185503[0:SpR:6450.1,21752.1] || equal(u,skf48(c_fequal(v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,x)),w),c_Int_Onat__aux(skf48(c_fequal(skf44(w,v))),x))*.
% 299.87/300.57  185579[0:Rew:18347.0,185498.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(v)),skf64(w)))),u),skf50(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),skf64(w))))**.
% 299.87/300.57  185587[0:Rew:3749.0,185450.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(c_Int_Onat__aux(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.57  185426[0:SpR:21752.1,5744.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(w,u) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),x)),w))*.
% 299.87/300.57  185660[0:Res:1131.2,644.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),c_Groups_Oone__class_Oone(u)))* -> .
% 299.87/300.57  185656[0:Res:1131.2,647.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),c_Groups_Oone__class_Oone(u)))* -> .
% 299.87/300.57  185655[0:Res:1131.2,648.1] class_Rings_Olinordered__semidom(u) class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),c_Groups_Oone__class_Oone(u)))* -> .
% 299.87/300.57  185650[0:SpR:5744.1,1131.2] class_Rings_Olinordered__semidom(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v))*.
% 299.87/300.57  185631[0:SpR:5744.1,1131.2] class_Rings_Olinordered__semidom(u) || equal(v,hAPP(c_Nat_OSuc,w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),v)))*.
% 299.87/300.57  185628[0:SpR:5744.1,1131.2] class_Rings_Olinordered__semidom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.57  185714[0:SpR:5744.1,1146.2] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),y),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),y),v))*.
% 299.87/300.57  185712[0:SpR:5744.1,1146.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),y),x)))*.
% 299.87/300.57  185701[0:SpR:5744.1,1146.2] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),x),hAPP(hAPP(c_Polynomial_Osmult(u),y),v)))*.
% 299.87/300.57  185753[0:SpL:5744.1,1147.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),y)),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),y),w))*.
% 299.87/300.57  185751[0:SpL:5744.1,1147.1] class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),x),y))*.
% 299.87/300.57  185740[0:SpL:5744.1,1147.1] class_Rings_Ocomm__semiring__1(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),v)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),y))*.
% 299.87/300.57  185863[0:SpL:5744.1,3663.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(v,x,w)),w)**.
% 299.87/300.57  186278[0:SpL:5744.1,3661.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(v,u))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(v,x,w)),w)**.
% 299.87/300.57  186799[0:SpR:5744.1,1143.1] class_Rings_Olinordered__ring(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.57  186786[0:SpR:5744.1,1143.1] class_Rings_Olinordered__ring(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x)),v)))*.
% 299.87/300.57  186784[0:SpR:5744.1,1143.1] class_Rings_Olinordered__ring(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))))*.
% 299.87/300.57  186731[0:SpR:5744.1,1143.1] class_Rings_Olinordered__ring(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))))*.
% 299.87/300.57  186676[0:SpR:5744.1,1143.1] class_Rings_Olinordered__ring(u) || equal(v,w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))))*.
% 299.87/300.57  186862[0:SSi:186811.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)).
% 299.87/300.57  186895[0:SpR:5744.1,1124.3] class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),v))*.
% 299.87/300.57  186893[0:SpR:5744.1,1124.3] class_Rings_Olinordered__idom(u) || equal(v,w)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w))* equal(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),x))*.
% 299.87/300.57  187097[0:Res:1144.2,51176.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),skf49(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))))*.
% 299.87/300.57  187091[0:SpR:5744.1,1144.2] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* equal(x,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x)),v))*.
% 299.87/300.57  187089[0:SpR:5744.1,1144.2] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* equal(x,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x)))*.
% 299.87/300.57  187030[0:SpR:5744.1,1144.2] class_Rings_Oidom(u) || equal(v,w) equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 299.87/300.57  186969[0:SpR:5744.1,1144.2] class_Rings_Oidom(u) || equal(v,w) equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),v)))*.
% 299.87/300.57  187370[0:Res:1145.2,51176.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),skf49(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))))*.
% 299.87/300.57  187363[0:SpR:5744.1,1145.2] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)),v))*.
% 299.87/300.57  187361[0:SpR:5744.1,1145.2] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))* equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)))*.
% 299.87/300.57  187300[0:SpR:5744.1,1145.2] class_Rings_Oidom(u) || equal(v,w)* equal(w,c_Groups_Ozero__class_Ozero(u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),y)))*.
% 299.87/300.57  187440[0:Obv:187335.0] class_Rings_Oidom(u) || equal(v,w) equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.57  187442[0:Obv:187274.0] class_Rings_Oidom(u) || equal(v,w) equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.87/300.57  188000[0:Res:3664.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.57  187998[0:Res:3664.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.57  187942[0:SpL:3664.2,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf68(v,w,x)),x)** -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w)) equal(u,w).
% 299.87/300.57  187930[0:SpL:3664.2,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf68(v,u,w),w) -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)).
% 299.87/300.57  187910[0:SpR:12874.1,3664.2] || equal(u,v) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf68(w,v,x)),x)**.
% 299.87/300.57  187905[0:SpR:3664.2,13412.1] || equal(skf68(u,v,w),x)* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),x),w)*.
% 299.87/300.57  187877[0:SpR:3664.2,6450.1] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(u,skf68(w,v,x)),x)**.
% 299.87/300.57  187863[0:SpR:3664.2,15222.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf68(u,w,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.57  187856[0:SpR:3664.2,3632.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))) equal(c_Int_Onat__aux(w,skf68(u,hAPP(c_Int_Onat,w),v)),v)**.
% 299.87/300.57  187784[0:SpR:553.1,3664.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.57  187734[0:SpR:5744.1,3664.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(x,u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(x,w,v)),v)**.
% 299.87/300.57  187696[0:SpR:5744.1,3664.0] || equal(u,v)* -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,v,x)),x)**.
% 299.87/300.57  187694[0:SpR:5744.1,3664.0] || equal(u,v)* -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(w,x,v)),v)**.
% 299.87/300.57  188114[0:MRR:187879.2,177770.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,u,x))))*.
% 299.87/300.57  188115[0:MRR:187733.3,42009.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.57  188116[0:MRR:187707.2,14543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(c_Nat_OSuc,skf44(u,v)))) equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf68(w,u,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.57  188573[0:Res:3662.0,429.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.57  188571[0:Res:3662.0,426.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.57  188515[0:SpL:3662.2,3752.0] || equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf67(v,w,x)),x)** -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w)) equal(u,w).
% 299.87/300.57  188503[0:SpL:3662.2,14860.1] || equal(skf48(c_fequal(u)),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(skf67(v,u,w),w) -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)).
% 299.87/300.57  188483[0:SpR:12874.1,3662.2] || equal(u,v) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf67(w,v,x)),x)**.
% 299.87/300.57  188478[0:SpR:3662.2,13412.1] || equal(skf67(u,v,w),x)* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),x),w)*.
% 299.87/300.57  188450[0:SpR:3662.2,6450.1] || equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(u,skf67(w,v,x)),x)**.
% 299.87/300.57  188436[0:SpR:3662.2,15222.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf67(u,w,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.57  188429[0:SpR:3662.2,3632.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))) equal(c_Int_Onat__aux(w,skf67(u,hAPP(c_Int_Onat,w),v)),v)**.
% 299.87/300.57  188357[0:SpR:553.1,3662.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.57  188307[0:SpR:5744.1,3662.0] || equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(x,u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(x,w,v)),v)**.
% 299.87/300.57  188269[0:SpR:5744.1,3662.0] || equal(u,v)* -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,v,x)),x)**.
% 299.87/300.57  188267[0:SpR:5744.1,3662.0] || equal(u,v)* -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(w,x,v)),v)**.
% 299.87/300.57  188687[0:MRR:188452.2,177770.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,u,x))))*.
% 299.87/300.57  188688[0:MRR:188306.3,42009.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.57  188689[0:MRR:188280.2,14543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(c_Nat_OSuc,skf44(u,v)))) equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf67(w,u,hAPP(c_Nat_OSuc,v))),hAPP(c_Nat_OSuc,v))**.
% 299.87/300.57  188791[0:SpL:5744.1,1152.1] class_Rings_Oidom(u) || equal(v,w)* equal(hAPP(c_Polynomial_Opoly(u,x),v),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.57  189016[0:SpL:1148.1,333.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x),y))* -> SkP1(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),w,y).
% 299.87/300.57  189015[0:SpL:1148.1,334.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x),y))* -> SkP2(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),w,y).
% 299.87/300.57  189052[0:SSi:188974.0,121.1] class_Rings_Oidom(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.57  189053[0:SSi:188999.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Osemiring__0(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Nat_OSuc,w)),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.57  1311[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.57  1313[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.57  1310[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  1309[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.57  1306[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  1308[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.57  1307[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.57  1312[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.57  56458[0:Res:779.2,834.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.87/300.57  60485[0:SpL:742.0,12538.0] || hBOOL(hAPP(hAPP(u,skf48(v)),hAPP(w,skf48(v))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),skf60(hAPP(hAPP(c_COMBS(x,y,z),u),w))))*.
% 299.87/300.58  59614[0:SpL:742.0,12183.0] || hBOOL(hAPP(hAPP(u,skf60(v)),hAPP(w,skf60(v))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),skf60(hAPP(hAPP(c_COMBS(x,y,z),u),w))))*.
% 299.87/300.58  3667[0:Rew:3621.0,2575.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))**.
% 299.87/300.58  44133[0:SpL:742.0,384.0] || hBOOL(hAPP(hAPP(u,v),hAPP(w,v)))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),hAPP(c_Int_Onat,skf48(hAPP(hAPP(c_COMBS(x,y,z),u),w)))))*.
% 299.87/300.58  66674[0:SpR:1672.1,947.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,c_Polynomial_Omonom(u,w,x))),w))*.
% 299.87/300.58  1304[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),c_Groups_Ozero__class_Ozero(u)))* -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  1305[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),c_Groups_Ozero__class_Ozero(u)))* -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  66123[0:Rew:936.1,66098.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  66120[0:Rew:936.1,66106.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf48(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  66705[0:Rew:947.1,66662.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x)))**.
% 299.87/300.58  65997[0:Rew:941.1,65975.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  65994[0:Rew:941.1,65983.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf48(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  76499[0:Rew:1004.1,76424.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x)))**.
% 299.87/300.58  54582[0:Res:893.2,464.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.58  58888[0:Res:893.2,879.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v).
% 299.87/300.58  56459[0:Res:776.2,834.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.87/300.58  76024[0:Res:510.1,969.1] class_Rings_Olinordered__ring(u) class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  58871[0:Res:891.2,879.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v).
% 299.87/300.58  54969[0:Res:864.2,464.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.58  64579[0:Res:725.2,917.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.58  64580[0:Res:724.2,917.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.58  74498[0:Res:725.2,970.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 299.87/300.58  74499[0:Res:724.2,970.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 299.87/300.58  74139[0:Res:725.2,971.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  74140[0:Res:724.2,971.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  72600[0:SpR:449.1,1659.1] class_Groups_Oab__group__add(u) class_Rings_Oring(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.58  71080[0:SpR:449.1,1660.1] class_Groups_Oab__group__add(u) class_Rings_Oring(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))**.
% 299.87/300.58  3660[0:Rew:3621.0,2569.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,x,y)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),c_Int_Onat__aux(skf48(c_fequal(w)),y)))**.
% 299.87/300.58  64867[0:Res:937.2,384.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  74993[0:SpL:449.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.58  73590[0:SpR:449.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 299.87/300.58  74975[0:SpL:449.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)).
% 299.87/300.58  73572[0:SpR:449.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.58  44104[0:SpR:601.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),z)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x),z),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),z))))*.
% 299.87/300.58  43972[0:SpR:601.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),z)),hAPP(hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),y),z)))*.
% 299.87/300.58  44932[0:SpR:1657.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))),y),z),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),z)),hAPP(y,z)))*.
% 299.87/300.58  78593[0:SpR:742.0,1073.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),x),y)),z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(x,y)),z)))*.
% 299.87/300.58  44933[0:SpR:1657.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))),z),hAPP(hAPP(x,z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z))))*.
% 299.87/300.58  1296[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))*.
% 299.87/300.58  79741[0:SpR:742.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),z),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(z,u))))*.
% 299.87/300.58  79704[0:SpR:742.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(w,v))),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),w),v)))*.
% 299.87/300.58  79202[0:SpR:742.0,1074.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(w,u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),w),u)))*.
% 299.87/300.58  79483[0:SpR:742.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.58  79490[0:Res:1076.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),x))*.
% 299.87/300.58  79446[0:SpR:742.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),v),w)))*.
% 299.87/300.58  45072[0:SpR:753.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))),y),z),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),z)),hAPP(y,z)))*.
% 299.87/300.58  78232[0:SpR:742.0,1078.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),x),y)),z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(x,y)),z)))*.
% 299.87/300.58  45073[0:SpR:753.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))),z),hAPP(hAPP(x,z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),z))))*.
% 299.87/300.58  65957[0:SpR:590.1,941.1] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v)),w)))*.
% 299.87/300.58  66080[0:SpR:590.1,936.1] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v)),w)))*.
% 299.87/300.58  55740[0:Rew:837.1,55700.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)))))))*.
% 299.87/300.58  72294[0:SpL:956.1,384.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.58  72118[0:SpL:957.1,384.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.58  72466[0:SpL:955.1,384.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v))))))*.
% 299.87/300.58  43315[0:SpL:689.2,492.0] class_Groups_Ozero(u) || equal(v,w) equal(hAPP(c_Polynomial_Ocoeff(u,v),skf33(x,c_Polynomial_Ocoeff(u,w))),hAPP(x,skf33(x,c_Polynomial_Ocoeff(u,w))))* -> equal(c_Polynomial_Ocoeff(u,w),x).
% 299.87/300.58  43323[0:SpL:689.2,492.0] class_Groups_Ozero(u) || equal(v,w) equal(hAPP(x,skf33(c_Polynomial_Ocoeff(u,w),x)),hAPP(c_Polynomial_Ocoeff(u,v),skf33(c_Polynomial_Ocoeff(u,w),x)))* -> equal(x,c_Polynomial_Ocoeff(u,w)).
% 299.87/300.58  23827[0:SpL:558.2,492.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf33(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(w,skf33(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),v)** -> equal(w,hAPP(c_Groups_Oplus__class_Oplus(u),v)).
% 299.87/300.58  23622[0:SpL:597.2,492.0] class_Groups_Ogroup__add(u) || equal(skf33(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v) equal(hAPP(w,skf33(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Ominus__class_Ominus(u),v)).
% 299.87/300.58  23492[0:SpL:598.2,492.0] class_Groups_Oab__group__add(u) || equal(skf33(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v) equal(hAPP(w,skf33(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Ominus__class_Ominus(u),v)).
% 299.87/300.58  23825[0:SpL:558.2,492.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),w)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))),w)** -> equal(hAPP(c_Groups_Oplus__class_Oplus(u),w),v).
% 299.87/300.58  23620[0:SpL:597.2,492.0] class_Groups_Ogroup__add(u) || equal(skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),w)),w) equal(hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ominus__class_Ominus(u),w),v).
% 299.87/300.58  23490[0:SpL:598.2,492.0] class_Groups_Oab__group__add(u) || equal(skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),w)),w) equal(hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ominus__class_Ominus(u),w),v).
% 299.87/300.58  44134[0:SpL:742.0,12641.0] || hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,v)),hAPP(w,hAPP(c_Int_Onat,v))))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(y,z,x1),u),w),x))*.
% 299.87/300.58  49844[0:SpR:752.2,742.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),hAPP(hAPP(x1,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  49986[0:SpR:748.2,742.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Oplus__class_Oplus(u),v)),w),hAPP(hAPP(x1,w),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  49843[0:SpR:752.2,742.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Oplus__class_Oplus(u),w)),x1),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x1,v)))**.
% 299.87/300.58  49985[0:SpR:748.2,742.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Oplus__class_Oplus(u),v)),x1),w),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(x1,w)))**.
% 299.87/300.58  48457[0:SpR:744.2,742.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Polynomial_Osmult(u),x1)),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.58  48456[0:SpR:744.2,742.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Polynomial_Osmult(u),z)),x1),v),hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(x1,v)))**.
% 299.87/300.58  57669[0:SpL:902.2,464.1] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || equal(w,x)* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),x))))*.
% 299.87/300.58  1315[0:Inp] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(hAPP(c_Polynomial_OpCons(u),y),x))* -> equal(y,hAPP(c_Polynomial_Opoly(u,v),w)).
% 299.87/300.58  55738[0:Rew:837.1,55702.3] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* equal(w,skf48(c_fequal(x)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),x)))*.
% 299.87/300.58  1293[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y)).
% 299.87/300.58  54970[0:Res:864.2,12641.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v))) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.58  1283[0:Inp] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y)).
% 299.87/300.58  54583[0:Res:893.2,12641.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v))) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.58  76980[0:SpR:551.0,963.2] || SkP2(c_COMBC(u,v,w,x),y,z)* SkP1(c_COMBC(u,v,w,x),y,z) -> hBOOL(hAPP(hAPP(x,z),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.58  68088[0:Rew:15222.0,68034.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))),x))*.
% 299.87/300.58  52357[0:Res:871.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Int_Onat,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),w))*.
% 299.87/300.58  76853[0:SpR:15222.0,963.2] || SkP2(c_Nat_OSuc,c_Int_Onat__aux(u,v),w) SkP1(c_Nat_OSuc,c_Int_Onat__aux(u,v),w) -> hBOOL(hAPP(c_Int_Onat__aux(u,hAPP(c_Nat_OSuc,v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,v)),w)).
% 299.87/300.58  76657[0:SpR:448.2,963.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Groups_Ouminus__class_Ouminus(u),v,w)* SkP1(c_Groups_Ouminus__class_Ouminus(u),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.58  76780[0:SpR:393.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),v,w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76886[0:SpR:685.2,963.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Polynomial_Osmult(u),v,w)* SkP1(c_Polynomial_Osmult(u),v,w) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.58  56208[0:Res:779.2,843.1] class_Orderings_Oorder(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  56209[0:Res:776.2,843.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  52361[0:Res:871.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))* -> equal(skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.58  52335[0:Res:871.1,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,u)))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) equal(hAPP(c_Nat_OSuc,u),v).
% 299.87/300.58  47776[0:SpR:3757.0,3705.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf52(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)))),w)**.
% 299.87/300.58  69081[0:SpR:21745.1,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf44(u,v)))).
% 299.87/300.58  68530[0:SpL:21745.1,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf44(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.58  69362[0:SpR:21745.1,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(c_Nat_OSuc,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf44(u,v)))).
% 299.87/300.58  69484[0:SpL:21745.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(w,hAPP(c_Nat_OSuc,skf44(u,v))))* equal(hAPP(c_Nat_OSuc,v),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(w,x))*.
% 299.87/300.58  72887[0:SpL:999.1,943.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  72888[0:SpL:999.1,942.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  72611[0:SpL:1659.1,943.1] class_Rings_Oring(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  72612[0:SpL:1659.1,942.1] class_Rings_Oring(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  71362[0:SpL:997.1,943.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  71363[0:SpL:997.1,942.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  71091[0:SpL:1660.1,943.1] class_Rings_Oring(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  71092[0:SpL:1660.1,942.1] class_Rings_Oring(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  1316[0:Inp] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_OpCons(u),x),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  68677[0:SpR:3761.0,3720.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),x)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(x)),w))),v))*.
% 299.87/300.58  68545[0:SpL:3761.0,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(x)),w))),v)).
% 299.87/300.58  69777[0:Rew:47909.0,69500.1] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x))))* equal(v,c_Int_Onat__aux(skf48(c_fequal(x)),c_Int_Onat__aux(skf48(c_fequal(w)),y)))* -> hBOOL(hAPP(u,y))*.
% 299.87/300.58  69097[0:SpR:3761.0,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(w)),v))))*.
% 299.87/300.58  69378[0:SpR:3761.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(w)),v))))*.
% 299.87/300.58  60134[0:Rew:47909.0,59959.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))),u)**.
% 299.87/300.58  21747[0:Rew:21719.1,21221.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf44(u,v))),w))**.
% 299.87/300.58  47782[0:SpR:3757.0,3709.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) equal(c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),u)**.
% 299.87/300.58  60138[0:Rew:284.0,60074.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.58  68298[0:SpL:3761.0,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(x)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))).
% 299.87/300.58  44070[0:SpR:682.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x))),y),hAPP(c_Nat_OSuc,z)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),z),hAPP(y,hAPP(c_Nat_OSuc,z))))*.
% 299.87/300.58  43938[0:SpR:682.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,y))),hAPP(c_Nat_OSuc,z)),hAPP(hAPP(x,hAPP(c_Nat_OSuc,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  80308[0:SpR:742.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),z),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(z,u))))*.
% 299.87/300.58  80273[0:SpR:742.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(w,v))),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),v)))*.
% 299.87/300.58  68565[0:Res:579.1,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),v)).
% 299.87/300.58  80322[0:Res:1017.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.58  80403[0:SpR:742.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),v)))*.
% 299.87/300.58  69675[0:Res:12782.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),x))*.
% 299.87/300.58  69581[0:SpL:505.1,3665.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 299.87/300.58  69582[0:SpL:506.1,3665.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 299.87/300.58  80452[0:Res:1016.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))*.
% 299.87/300.58  80438[0:SpR:742.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))*.
% 299.87/300.58  69126[0:Res:3729.1,914.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* equal(x,hAPP(c_Nat_OSuc,u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  68723[0:Rew:3749.0,68709.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf46(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.58  60828[0:Rew:284.0,60752.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))* -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(v)),w),x)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.58  21746[0:Rew:21719.1,21220.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),u)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,skf44(u,v))))**.
% 299.87/300.58  78894[0:SpR:742.0,1059.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y)),z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(x,y)),z)))*.
% 299.87/300.58  77859[0:SpR:742.0,1079.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Power_Opower__class_Opower(tc_Int_Oint)),x),y)),z),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(x,y)),z)))*.
% 299.87/300.58  80679[0:SpL:742.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(x,y)),z)).
% 299.87/300.58  1300[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))*.
% 299.87/300.58  79921[0:SpR:742.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),z),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(z,u))))*.
% 299.87/300.58  79879[0:SpR:742.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(w,v))),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),v)))*.
% 299.87/300.58  72045[0:SpR:957.1,3703.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))))**.
% 299.87/300.58  28942[0:Res:575.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),u).
% 299.87/300.58  72040[0:SpR:957.1,3704.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))**.
% 299.87/300.58  62840[0:SpL:742.0,929.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),z),hAPP(c_Nat_OSuc,u)))* -> equal(v,hAPP(z,hAPP(c_Nat_OSuc,u))).
% 299.87/300.58  72901[0:SpL:999.1,929.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),w).
% 299.87/300.58  72625[0:SpL:1659.1,929.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),w).
% 299.87/300.58  80098[0:Res:1026.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),x))*.
% 299.87/300.58  80038[0:SpR:742.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),w)))*.
% 299.87/300.58  79939[0:Res:1028.1,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.58  80080[0:SpR:742.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  80637[0:SpL:742.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),z),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(z,u))).
% 299.87/300.58  46843[0:SpL:3705.1,3713.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(u,v))),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(u,v))),u))*.
% 299.87/300.58  46941[0:SpR:3705.1,3714.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(u,v))),u))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,skf52(u,v))),v))*.
% 299.87/300.58  55582[0:Rew:852.1,55546.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))))))*.
% 299.87/300.58  55586[0:Rew:302.1,55521.1,27252.0,55521.1,852.1,55521.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))),w)**.
% 299.87/300.58  71956[0:SpL:959.1,384.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))*.
% 299.87/300.58  43631[0:SpR:3732.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(c_Nat_OSuc,x),v),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x,w))*.
% 299.87/300.58  43679[0:SpR:556.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),w)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),y))**.
% 299.87/300.58  76462[0:SpR:3723.1,1004.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,c_Nat_Osemiring__1__class_Oof__nat(u,w))),c_Nat_Osemiring__1__class_Oof__nat(u,x)),hAPP(c_Polynomial_Opoly(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),x))))**.
% 299.87/300.58  43670[0:SpR:601.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),x)))*.
% 299.87/300.58  43648[0:SpR:550.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.58  43678[0:SpR:558.2,739.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),x),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),x),y,x))*.
% 299.87/300.58  43608[0:SpR:597.2,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) || equal(w,x) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),y,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  43609[0:SpR:598.2,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) || equal(w,x) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),y,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  43666[0:SpR:555.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),y))**.
% 299.87/300.58  55580[0:Rew:852.1,55548.3] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* equal(w,skf48(c_fequal(x)))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),x)))*.
% 299.87/300.58  43597[0:SpR:607.2,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,w),hAPP(c_Nat_OSuc,x),y),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,w),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  71938[0:SpL:959.1,943.1] class_Rings_Osemiring__1(u) class_Rings_Ono__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  71939[0:SpL:959.1,942.1] class_Rings_Osemiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) equal(c_Nat_Osemiring__1__class_Oof__nat(u,w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  68023[0:Res:1901.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))),v))*.
% 299.87/300.58  56995[0:Rew:3622.0,56922.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),hAPP(c_Nat_OSuc,w))*.
% 299.87/300.58  77209[0:SpL:742.0,1928.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(u,v))) hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.58  50726[0:Res:1925.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.58  57432[0:SpL:1672.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w))))))*.
% 299.87/300.58  72100[0:SpL:957.1,943.1] class_Rings_Oring__1(u) class_Rings_Ono__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) equal(c_Int_Oring__1__class_Oof__int(u,w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  72101[0:SpL:957.1,942.1] class_Rings_Oring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) equal(c_Int_Oring__1__class_Oof__int(u,w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  42747[0:SpR:590.1,734.3] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v)) equal(c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.58  69516[0:SpL:503.2,3665.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),x))*.
% 299.87/300.58  65995[0:Rew:941.1,65980.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf47(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  66121[0:Rew:936.1,66103.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf47(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  60930[0:SpL:742.0,16218.0] || hBOOL(hAPP(hAPP(u,skf47(v)),hAPP(w,skf47(v))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),skf60(hAPP(hAPP(c_COMBS(x,y,z),u),w))))*.
% 299.87/300.58  65999[0:Rew:941.1,65973.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf57(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  66125[0:Rew:936.1,66096.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf57(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  60241[0:SpL:742.0,12380.0] || hBOOL(hAPP(hAPP(u,skf57(v)),hAPP(w,skf57(v))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),skf60(hAPP(hAPP(c_COMBS(x,y,z),u),w))))*.
% 299.87/300.58  67835[0:Res:540.0,968.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u)) equal(v,u).
% 299.87/300.58  44651[0:SpL:742.0,4192.0] || hBOOL(hAPP(hAPP(u,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(v,c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),u),v),skf60(hAPP(hAPP(c_COMBS(w,x,y),u),v))))*.
% 299.87/300.58  65996[0:Rew:941.1,65976.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  66122[0:Rew:936.1,66099.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  55739[0:Rew:837.1,55701.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)))))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 299.87/300.58  55581[0:Rew:852.1,55547.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  68919[0:Rew:3724.0,68864.1,3654.0,68864.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.58  64868[0:Res:937.2,383.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Int_Onat,skf47(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  45181[0:Res:788.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 299.87/300.58  55737[0:Rew:837.1,55703.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf57(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf48(c_fequal(w)))))*.
% 299.87/300.58  55579[0:Rew:852.1,55549.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf57(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf48(c_fequal(w)))))*.
% 299.87/300.58  64870[0:Res:937.2,12569.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf57(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),skf48(c_fequal(w))))*.
% 299.87/300.58  45183[0:Res:788.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf57(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf48(c_fequal(v))))*.
% 299.87/300.58  72900[0:SpL:999.1,924.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  72624[0:SpL:1659.1,924.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  71375[0:SpL:997.1,925.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  71104[0:SpL:1660.1,925.0] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  41434[0:Rew:551.0,41342.1,551.0,41342.0] || hBOOL(hAPP(hAPP(u,v),w)) -> hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w)) hBOOL(hAPP(hAPP(u,hAPP(c_Nat_OSuc,skf55(v,hAPP(c_COMBC(x,y,z,u),w)))),w))*.
% 299.87/300.58  1303[0:Inp] class_Rings_Ozero__neq__one(u) class_Rings_Ono__zero__divisors(u) class_Rings_Omult__zero(u) class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.58  56935[0:Res:891.2,21751.0] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* equal(skf44(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))**.
% 299.87/300.58  41757[0:Res:3721.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(v)),w),x)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.58  54516[0:SpL:890.3,12641.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,skf48(c_fequal(w)))* -> equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w))*.
% 299.87/300.58  10833[0:SpL:491.1,441.0] || equal(skf35(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf34(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u))*.
% 299.87/300.58  10832[0:SpL:458.1,441.0] || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),skf34(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u))*.
% 299.87/300.58  19459[0:SpL:593.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(hAPP(v,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)).
% 299.87/300.58  19458[0:SpL:593.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf33(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))))* equal(hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v).
% 299.87/300.58  41606[0:SpL:614.1,735.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.58  48316[0:Rew:602.0,48192.0] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,w)))) equal(skf48(c_fequal(skf62(hAPP(hAPP(c_COMBB(x,y,z),u),v),w))),w)**.
% 299.87/300.58  41698[0:Res:526.1,735.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.58  41360[0:Res:1649.2,647.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.58  41361[0:Res:1649.2,644.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.58  41362[0:Res:1649.2,648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.58  41372[0:Res:1649.2,653.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.58  41373[0:Res:1649.2,655.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.58  48232[0:Res:12638.1,568.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v))),v)** equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  49863[0:SpL:752.2,735.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.58  41651[0:Res:692.1,735.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.58  50005[0:SpL:748.2,735.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.58  42792[0:SpL:686.1,492.0] class_Rings_Oidom(u) || equal(hAPP(v,skf33(c_Polynomial_Opoly(u,w),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Polynomial_Oorder(u,skf33(c_Polynomial_Opoly(u,w),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(v,c_Polynomial_Opoly(u,w)).
% 299.87/300.58  42784[0:SpL:686.1,492.0] class_Rings_Oidom(u) || equal(hAPP(v,skf33(v,c_Polynomial_Opoly(u,w))),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Polynomial_Oorder(u,skf33(v,c_Polynomial_Opoly(u,w)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(c_Polynomial_Opoly(u,w),v).
% 299.87/300.58  43571[0:SpR:593.1,739.1] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  63367[0:SpL:742.0,925.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(v,w)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),w))* -> equal(u,w) equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  44107[0:SpR:614.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_OpCons(u),y)),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Polynomial_Omonom(u,y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(z,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.58  43975[0:SpR:614.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_OpCons(u),z)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,z,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.58  46348[0:Res:12957.1,735.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(v)),w)),skf48(c_fequal(v))))*.
% 299.87/300.58  48136[0:SpR:313.1,12638.1] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Int_Onat,v)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.58  64866[0:Res:937.2,735.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.58  50587[0:Res:874.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.58  1711[0:Rew:386.0,1477.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Int_Onat__aux(u,hAPP(c_Int_Onat,v)))**.
% 299.87/300.58  58876[0:Res:831.2,879.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  51483[0:Res:874.1,824.1] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))**.
% 299.87/300.58  48222[0:Res:12638.1,12554.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)))),hAPP(c_Int_Onat,u)).
% 299.87/300.58  51453[0:Rew:551.0,51353.2] || hBOOL(hAPP(hAPP(u,skf48(c_fequal(skf58(hAPP(c_COMBC(v,w,x,u),y))))),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),z))* -> hBOOL(hAPP(hAPP(u,z),y))*.
% 299.87/300.58  77832[0:SpR:1079.0,874.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  41357[0:Res:1649.2,537.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 299.87/300.58  53322[0:SpR:609.2,12637.0] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))),v)**.
% 299.87/300.58  53327[0:SpR:683.2,12637.0] class_Power_Opower(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),w),v))),v)**.
% 299.87/300.58  51933[0:Res:827.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  53398[0:Res:12637.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),u))),u) equal(hAPP(c_Int_Onat,u),v).
% 299.87/300.58  53401[0:Res:12637.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),u))),u) equal(hAPP(c_Int_Onat,u),v).
% 299.87/300.58  53402[0:Res:12637.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(c_Int_Onat,u))).
% 299.87/300.58  58878[0:Res:829.2,879.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  51823[0:Res:829.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  53279[0:SpR:616.2,12637.0] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,w)) -> hBOOL(x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w))),w)**.
% 299.87/300.58  53280[0:SpR:617.2,12637.0] class_Groups_Ozero(u) ||  -> equal(v,hAPP(c_Int_Onat,w)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w))),w)**.
% 299.87/300.58  44438[0:SpL:742.0,4191.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),u),v),skf60(hAPP(hAPP(c_COMBS(w,x,y),u),v))))*.
% 299.87/300.58  53449[0:Res:12637.1,735.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(u,v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.58  52521[0:Rew:551.0,52444.1] || hBOOL(hAPP(hAPP(u,skf62(hAPP(c_COMBC(v,w,x,u),y),z)),y))* -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,x1)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  65998[0:Rew:941.1,65974.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  66124[0:Rew:936.1,66097.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf60(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))*.
% 299.87/300.58  48467[0:SpL:744.2,735.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.58  166333[0:SpR:108627.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)).
% 299.87/300.58  168410[0:SpL:742.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),hAPP(x,y))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.58  168369[0:SpL:742.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(v,w))),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.58  169775[0:SpL:742.0,1053.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),x),y))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(x,y)),z))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),y),z)).
% 299.87/300.58  170067[0:Rew:957.1,170005.2,837.1,170005.2] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf50(u)))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u)))**.
% 299.87/300.58  170207[0:SpR:852.1,1913.2] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  170206[0:SpR:837.1,1913.2] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),v))))*.
% 299.87/300.58  170205[0:SpR:742.0,1913.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Power_Opower__class_Opower(u)),v),w)))*.
% 299.87/300.58  170238[0:SSi:170208.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))))*.
% 299.87/300.58  170495[0:Obv:170494.2] class_Power_Opower(u) || equal(skf68(hAPP(c_Power_Opower__class_Opower(u),v),w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  170885[0:Obv:170884.2] class_Power_Opower(u) || equal(skf67(hAPP(c_Power_Opower__class_Opower(u),v),w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  170999[0:Res:1085.2,51176.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),skf49(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))))*.
% 299.87/300.58  170964[0:SpR:956.1,1085.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171022[0:SSi:170991.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.58  171124[0:Res:1036.2,51176.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),skf49(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))))*.
% 299.87/300.58  171085[0:SpR:956.1,1036.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171245[0:Res:1038.2,51176.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),skf49(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))))*.
% 299.87/300.58  171206[0:SpR:956.1,1038.2] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171383[0:SpL:956.1,1086.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171495[0:SpL:956.1,1037.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171613[0:SpL:956.1,1039.1] class_Rings_Oring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171739[0:SpR:852.1,1080.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  171738[0:SpR:837.1,1080.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))))*.
% 299.87/300.58  171776[0:SSi:171750.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.58  171777[0:SSi:171740.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  171910[0:SpR:837.1,1077.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))))*.
% 299.87/300.58  172115[0:SpR:852.1,1035.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  172114[0:SpR:837.1,1035.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))))*.
% 299.87/300.58  172173[0:SSi:172116.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  172235[0:SpR:742.0,1093.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),z)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(y,z)))*.
% 299.87/300.58  172281[0:Obv:172209.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)))**.
% 299.87/300.58  172474[0:SpR:742.0,1064.1] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),z),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,hAPP(z,v))))**.
% 299.87/300.58  172556[0:Rew:957.1,172475.2,837.1,172475.2] class_Rings_Oring__1(u) class_Power_Opower(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w))))**.
% 299.87/300.58  172558[0:SSi:172500.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),w).
% 299.87/300.58  172559[0:SSi:172499.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.58  172560[0:SSi:172495.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))).
% 299.87/300.58  172561[0:SSi:172493.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)).
% 299.87/300.58  172562[0:SSi:172492.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.58  172563[0:SSi:172449.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.58  172565[0:SSi:172447.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))))*.
% 299.87/300.58  172569[0:SSi:172440.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.58  172570[0:SSi:172425.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.58  172679[0:SpR:742.0,1689.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),z),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,hAPP(z,v))))**.
% 299.87/300.58  172737[0:Rew:957.1,172680.2,837.1,172680.2] class_Rings_Oring__1(u) class_Groups_Omonoid__mult(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w))))**.
% 299.87/300.58  172907[0:SpR:742.0,1065.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(u)),y),z)),z),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),hAPP(c_Nat_OSuc,hAPP(y,z))))**.
% 299.87/300.58  172976[0:SSi:172931.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))).
% 299.87/300.58  172979[0:SSi:172924.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)).
% 299.87/300.58  172983[0:SSi:172876.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))*.
% 299.87/300.58  172985[0:SSi:172866.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.58  173189[0:SpL:1091.1,896.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> equal(w,v).
% 299.87/300.58  173188[0:SpL:1091.1,897.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> equal(w,v).
% 299.87/300.58  173182[0:SpL:1091.1,895.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w))* -> equal(v,w).
% 299.87/300.58  173065[0:SpR:1091.1,956.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)))*.
% 299.87/300.58  173357[0:Obv:173066.2] class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v))*.
% 299.87/300.58  173577[0:SpL:956.1,1084.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.58  173767[0:SpR:956.1,1083.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))*.
% 299.87/300.58  173826[0:SSi:173803.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)))**.
% 299.87/300.58  173827[0:SSi:173797.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 299.87/300.58  174043[0:SpL:956.1,1041.1] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.58  174195[0:SpR:956.1,1040.2] class_Rings_Oring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))*.
% 299.87/300.58  174359[0:SpL:742.0,1094.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(z,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  174361[0:SSi:174355.0,133.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  175047[0:SpR:959.1,1087.2] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x))))*.
% 299.87/300.58  175046[0:SpR:957.1,1087.2] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))))*.
% 299.87/300.58  175105[0:Obv:175065.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)))*.
% 299.87/300.58  175106[0:SSi:175056.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x))))*.
% 299.87/300.58  175107[0:SSi:175055.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))))*.
% 299.87/300.58  175317[0:SpR:742.0,1088.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(w,x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(hAPP(c_COMBS(y,z,x1),c_Groups_Otimes__class_Otimes(u)),w),x)))*.
% 299.87/300.58  175298[0:SpR:959.1,1088.2] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w))))*.
% 299.87/300.58  175297[0:SpR:957.1,1088.2] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),w))))*.
% 299.87/300.58  175558[0:SpL:959.1,1089.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),x)).
% 299.87/300.58  175557[0:SpL:957.1,1089.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,v)),x)).
% 299.87/300.58  175633[0:Obv:175576.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w))*.
% 299.87/300.58  175634[0:SSi:175567.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),x)).
% 299.87/300.58  175635[0:SSi:175566.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),x)).
% 299.87/300.58  175859[0:SpL:742.0,1090.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),z)),x1))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(y,z)),x1)).
% 299.87/300.58  175840[0:SpL:959.1,1090.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),x)).
% 299.87/300.58  175839[0:SpL:957.1,1090.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,w)),x)).
% 299.87/300.58  176336[0:Res:269.1,1081.2] class_Orderings_Opreorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 299.87/300.58  176335[0:Res:18720.1,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 299.87/300.58  176664[0:Res:827.2,1051.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),w))*.
% 299.87/300.58  176637[0:Res:864.2,1051.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  176606[0:Res:844.2,1051.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),x))*.
% 299.87/300.58  176605[0:Res:833.2,1051.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),x))*.
% 299.87/300.58  176599[0:Res:866.2,1051.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.58  176598[0:Res:825.2,1051.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  176752[0:SSi:176591.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),x))*.
% 299.87/300.58  176959[0:Res:829.2,1043.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),w))*.
% 299.87/300.58  176925[0:Res:893.2,1043.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  176876[0:Res:847.2,1043.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),x))*.
% 299.87/300.58  176874[0:Res:831.2,1043.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  176869[0:Res:835.2,1043.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),x))*.
% 299.87/300.58  176868[0:Res:891.2,1043.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.58  177066[0:SSi:176917.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.58  177067[0:SSi:176916.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),x))*.
% 299.87/300.58  177068[0:SSi:176915.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))*.
% 299.87/300.58  177069[0:SSi:176914.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),x))*.
% 299.87/300.58  177070[0:SSi:176859.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),x))*.
% 299.87/300.58  41601[0:SpL:601.0,735.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.58  45140[0:Rew:753.0,45100.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf57(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(v)))))*.
% 299.87/300.58  45141[0:Rew:753.0,45098.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 299.87/300.58  44993[0:Rew:1657.0,44962.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(v)))))*.
% 299.87/300.58  44994[0:Rew:1657.0,44960.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 299.87/300.58  177272[0:Res:827.2,1045.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),w))*.
% 299.87/300.58  177246[0:Res:864.2,1045.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  177215[0:Res:844.2,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),x))*.
% 299.87/300.58  177214[0:Res:833.2,1045.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),x))*.
% 299.87/300.58  177208[0:Res:866.2,1045.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.58  177207[0:Res:825.2,1045.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  177206[0:Res:1914.2,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  177370[0:SSi:177200.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),x))*.
% 299.87/300.58  177525[0:Res:829.2,1063.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),w))*.
% 299.87/300.58  177493[0:Res:893.2,1063.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  177444[0:Res:847.2,1063.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),x))*.
% 299.87/300.58  177442[0:Res:831.2,1063.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  177437[0:Res:835.2,1063.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),x))*.
% 299.87/300.58  177436[0:Res:891.2,1063.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)).
% 299.87/300.58  177700[0:Res:827.2,1050.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  177674[0:Res:864.2,1050.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.58  177643[0:Res:844.2,1050.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  177642[0:Res:833.2,1050.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  177636[0:Res:866.2,1050.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  177635[0:Res:825.2,1050.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  177788[0:SSi:177628.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))*.
% 299.87/300.58  177971[0:Res:829.2,1062.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  177939[0:Res:893.2,1062.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)).
% 299.87/300.58  177890[0:Res:847.2,1062.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  177888[0:Res:831.2,1062.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  177883[0:Res:835.2,1062.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  177882[0:Res:891.2,1062.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178115[0:SSi:177931.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))*.
% 299.87/300.58  178116[0:SSi:177930.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)))*.
% 299.87/300.58  178117[0:SSi:177929.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.58  178118[0:SSi:177928.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x)))*.
% 299.87/300.58  178119[0:SSi:177873.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)))*.
% 299.87/300.58  178260[0:Res:827.2,1044.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  178234[0:Res:864.2,1044.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.58  178203[0:Res:844.2,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  178202[0:Res:833.2,1044.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  178196[0:Res:866.2,1044.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178195[0:Res:825.2,1044.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  178194[0:Res:1914.2,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.58  178353[0:SSi:178188.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x)))*.
% 299.87/300.58  178536[0:Res:829.2,1042.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  178504[0:Res:893.2,1042.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.58  178455[0:Res:847.2,1042.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  178453[0:Res:831.2,1042.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  178448[0:Res:835.2,1042.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  178447[0:Res:891.2,1042.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178637[0:SSi:178496.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))*.
% 299.87/300.58  178638[0:SSi:178495.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)))*.
% 299.87/300.58  178639[0:SSi:178494.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.58  178640[0:SSi:178493.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x)))*.
% 299.87/300.58  178641[0:SSi:178438.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v)))*.
% 299.87/300.58  179093[0:SSi:179006.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))*.
% 299.87/300.58  179094[0:SSi:178968.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x))*.
% 299.87/300.58  179095[0:SSi:178950.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.87/300.58  179097[0:SSi:179096.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.58  179099[0:Obv:178874.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))*.
% 299.87/300.58  179100[0:SSi:178862.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),v))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 299.87/300.58  179103[0:Obv:178786.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))*.
% 299.87/300.58  179255[0:SpR:852.1,1082.1] class_Rings_Osemiring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),x))),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,x)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  179254[0:SpR:837.1,1082.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),x))),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,x)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  179253[0:SpR:742.0,1082.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower__class_Opower(u)),z),x1)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,hAPP(z,x1))),x1))*.
% 299.87/300.58  179340[0:Rew:179335.0,172989.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,v)))* -> equal(u,w) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  179384[0:Rew:1704.1,179160.3] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.58  179387[0:SSi:179277.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),w))).
% 299.87/300.58  179388[0:SSi:179275.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v)),x)).
% 299.87/300.58  179390[0:Obv:179265.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)),y)).
% 299.87/300.58  179393[0:Obv:179223.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,x)),w)))*.
% 299.87/300.58  179394[0:SSi:179219.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,w)),v)))*.
% 299.87/300.58  179406[0:SSi:179179.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,v)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))*.
% 299.87/300.58  179410[0:SSi:179409.0,121.1] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),x))*.
% 299.87/300.58  179413[0:SSi:179412.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,v)),w))* -> equal(u,x) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  179914[0:SpL:1075.0,1620.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))** -> .
% 299.87/300.58  179898[0:SpL:1075.0,620.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),w)** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.58  179886[0:SpL:1075.0,568.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)))* -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),c_Groups_Ozero__class_Ozero(u)),x),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  179828[0:SpR:26576.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179797[0:SpR:27252.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179794[0:SpR:108627.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179790[0:SpR:294.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179752[0:SpR:108628.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179748[0:SpR:293.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179703[0:SpR:307.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179683[0:SpR:313.1,1075.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.58  179656[0:SpR:12132.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(w))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179655[0:SpR:12331.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(w))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179654[0:SpR:12488.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(w))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179653[0:SpR:14019.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(w))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179652[0:SpR:1986.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.58  179622[0:SpR:1607.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  179620[0:SpR:742.0,1075.0] ||  -> equal(hAPP(hAPP(u,v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Power_Opower_Opower(z,x1,u)),x2),v)),hAPP(hAPP(c_Power_Opower_Opower(z,x1,u),v),hAPP(c_Nat_OSuc,hAPP(x2,v))))**.
% 299.87/300.58  179587[0:SpR:1075.0,683.2] class_Power_Opower(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.58  179535[0:SpR:1075.0,609.2] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y),c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.58  179505[0:SpR:1075.0,443.1] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),x))**.
% 299.87/300.58  180200[0:SpL:179332.0,24466.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(u)),v))) -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.58  180217[0:Rew:12933.0,180177.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),w)),skf48(c_fequal(u))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))))**.
% 299.87/300.58  180228[0:SSi:180227.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(w)),v))))**.
% 299.87/300.58  180307[0:Res:539.1,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf44(u,v)),skf44(u,w)))* equal(skf44(u,w),skf44(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.58  181478[0:SpL:1098.1,12641.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),x))* equal(x,skf48(c_fequal(y))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),y))*.
% 299.87/300.58  181474[0:SpL:1098.1,51176.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)))))*.
% 299.87/300.58  181455[0:SpL:1098.1,24466.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.58  181435[0:SpR:15222.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_OSuc),w),c_Int_Onat__aux(x,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,y))),hAPP(w,c_Int_Onat__aux(x,y))))*.
% 299.87/300.58  181413[0:SpR:413.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(x,y)))**.
% 299.87/300.58  181402[0:SpR:9489.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(w))),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf50(skf64(w))),hAPP(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.58  181401[0:SpR:9503.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(w)))),x),skf64(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,skf64(w))))**.
% 299.87/300.58  181399[0:SpR:6937.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),x),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,hAPP(c_Nat_OSuc,w))))**.
% 299.87/300.58  181398[0:SpR:6936.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),x),c_Int_Onat__aux(y,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,c_Int_Onat__aux(y,w))))**.
% 299.87/300.58  181383[0:SpR:414.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w)),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),w)),hAPP(x,y)))*.
% 299.87/300.58  181381[0:SpR:412.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w)),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),w)),hAPP(x,y)))*.
% 299.87/300.58  181380[0:SpR:418.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w)),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),w)),hAPP(x,y)))*.
% 299.87/300.58  181343[0:SpR:362.1,1098.1] class_Groups_Ocomm__monoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Oone__class_Oone(u))))**.
% 299.87/300.58  181342[0:SpR:361.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Oone__class_Oone(u))))**.
% 299.87/300.58  181341[0:SpR:364.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Oone__class_Oone(u))))**.
% 299.87/300.58  181306[0:SpR:350.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181305[0:SpR:353.1,1098.1] class_Groups_Omonoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181304[0:SpR:352.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181287[0:SpR:407.1,1098.1] class_Rings_Omult__zero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,y)))**.
% 299.87/300.58  181286[0:SpR:406.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,y)))**.
% 299.87/300.58  181285[0:SpR:405.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,y)))**.
% 299.87/300.58  181278[0:SpR:394.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181276[0:SpR:372.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),x)),y),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.58  181275[0:SpR:369.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),x)),y),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 299.87/300.58  181220[0:SpR:410.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,y)))**.
% 299.87/300.58  181218[0:SpR:408.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(x,y)))**.
% 299.87/300.58  181217[0:SpR:396.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,y)))**.
% 299.87/300.58  181201[0:SpR:15222.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_OSuc),c_Int_Onat__aux(x,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Int_Onat__aux(x,y))),c_Int_Onat__aux(x,hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.58  181179[0:SpR:413.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.58  181168[0:SpR:9489.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(x))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf50(skf64(x))))**.
% 299.87/300.58  181167[0:SpR:9503.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(x)))),skf64(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf64(x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181165[0:SpR:6937.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Nat_OSuc,x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181164[0:SpR:6936.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),c_Int_Onat__aux(y,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Int_Onat__aux(y,x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181149[0:SpR:414.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),x)))*.
% 299.87/300.58  181147[0:SpR:412.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),x)))*.
% 299.87/300.58  181146[0:SpR:418.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),x)))*.
% 299.87/300.58  181109[0:SpR:362.1,1098.1] class_Groups_Ocomm__monoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Oone__class_Oone(u))),y))**.
% 299.87/300.58  181108[0:SpR:361.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Oone__class_Oone(u))),y))**.
% 299.87/300.58  181107[0:SpR:364.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Oone__class_Oone(u))),y))**.
% 299.87/300.58  181072[0:SpR:350.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),y))**.
% 299.87/300.58  181071[0:SpR:353.1,1098.1] class_Groups_Omonoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),y))**.
% 299.87/300.58  181070[0:SpR:352.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),y))**.
% 299.87/300.58  181053[0:SpR:407.1,1098.1] class_Rings_Omult__zero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  181052[0:SpR:406.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  181051[0:SpR:405.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  181044[0:SpR:394.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),y))**.
% 299.87/300.58  181042[0:SpR:372.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),y)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))),y))**.
% 299.87/300.58  181041[0:SpR:369.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),y)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Oone__class_Oone(tc_Nat_Onat))),y))**.
% 299.87/300.58  180986[0:SpR:410.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  180984[0:SpR:408.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.58  180983[0:SpR:396.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  180965[0:SpR:550.1,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(x,w)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x),w))**.
% 299.87/300.58  180915[0:SpR:1098.1,816.1] class_Groups_Ominus(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,y)),hAPP(w,y)))*.
% 299.87/300.58  181498[0:SSi:181472.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,tc_Nat_Onat)),w),x),y)))* equal(hAPP(w,y),c_Int_Onat__aux(skf48(c_fequal(hAPP(x,y))),z))* -> hBOOL(hAPP(u,z))*.
% 299.87/300.58  181499[0:SSi:181471.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,tc_Nat_Onat)),w),x),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(x,y))),hAPP(w,y)))*.
% 299.87/300.58  181500[0:SSi:181466.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(v,x)),c_Int_Onat__aux(skf48(c_fequal(y)),hAPP(w,x))))*.
% 299.87/300.58  181501[0:SSi:180944.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(v,w))),hAPP(x,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,tc_Nat_Onat)),x),v),w)))*.
% 299.87/300.58  181502[0:SSi:180943.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(v,w))),hAPP(x,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,tc_Nat_Onat)),x),v),w)))*.
% 299.87/300.58  181503[0:SSi:180935.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(x,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,tc_Nat_Onat)),u),x),v)),w))*.
% 299.87/300.58  181504[0:SSi:180925.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(v,x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(w,x))),y)))*.
% 299.87/300.58  181505[0:SSi:180924.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(u,v)),hAPP(w,v))) equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(w,v))),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,tc_Nat_Onat)),u),w),v)),hAPP(u,v))**.
% 299.87/300.58  181596[0:Obv:181543.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),y)))**.
% 299.87/300.58  181604[0:Rew:947.1,181603.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,w,x)),y)))**.
% 299.87/300.58  181613[0:Rew:1004.1,181612.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,x)),y)))**.
% 299.87/300.58  181748[0:Obv:181701.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),y)))**.
% 299.87/300.58  181957[0:SpL:1120.3,50956.0] class_Groups_Ozero(u) || equal(v,skf46(hAPP(c_Polynomial_OpCons(u),w)))* equal(x,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),y))*.
% 299.87/300.58  182026[0:SSi:181937.0,139.0,107.1] || equal(u,v_cs____) equal(v,v_c____) equal(hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v),u)),v_y____),hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Polynomial_OpCons(t_a),v),u)),v_x____))** -> .
% 299.87/300.58  182028[0:AED:109.0,181933.2] class_Groups_Ozero(u) class_Orderings_Owellorder(v) || equal(w,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),y))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Orderings_Oord__class_OLeast(v,hAPP(c_Polynomial_OpCons(u),x))))*.
% 299.87/300.58  183070[0:Res:12714.2,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf46(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.58  183124[0:Rew:3632.0,183054.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,w)),v)).
% 299.87/300.58  183235[0:SpR:183186.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Nat_Onat)))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  183373[0:SpL:1129.1,1656.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(hAPP(c_Int_Onat,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  183966[0:SpR:742.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),z),u))))*.
% 299.87/300.58  183925[0:SpR:1075.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,y)))))*.
% 299.87/300.58  184234[0:SpL:742.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),z),u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.58  184193[0:SpL:1075.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,y)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.58  184675[0:SpR:184630.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint)))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.58  185032[0:SpL:3690.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),w),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),skf44(u,v)))*.
% 299.87/300.58  184991[0:SpL:3690.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf44(u,v)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.58  185283[0:SpR:21749.1,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),x))*.
% 299.87/300.58  185511[0:SpR:3690.1,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(w,u))),skf44(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.58  185488[8:SpR:48262.0,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Int_Onat,skf47(c_Int_Onat)))) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,skf62(c_Int_Onat,skf47(c_Int_Onat))))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf47(c_Int_Onat),v)),u))**.
% 299.87/300.58  185484[0:SpR:12545.1,21752.1] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),skf64(u))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(u,w)),v),c_Int_Onat__aux(skf48(c_fequal(skf44(v,skf64(u)))),w))**.
% 299.87/300.58  185457[0:SpR:21752.1,740.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),x))*.
% 299.87/300.58  185692[0:SSi:185664.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(v,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.58  185777[0:Obv:185764.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Polynomial_Osmult(u),y),x)))*.
% 299.87/300.58  185778[0:SSi:185756.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)),v)))*.
% 299.87/300.58  186068[2:Res:51947.1,3663.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.58  186065[0:Res:16882.1,3663.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.58  186124[0:Rew:1878.0,186051.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w,v)),v)**.
% 299.87/300.58  186037[0:Res:290.1,3663.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.58  186026[0:Res:378.0,3663.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.58  185840[0:SpL:10150.1,3663.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(v,skf50(u)))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(v,x,w)),w)**.
% 299.87/300.58  186165[4:MRR:185886.1,8759.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.58  186170[4:MRR:185851.2,8759.0] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 299.87/300.58  186171[4:MRR:185850.2,10316.1] class_Groups_Ogroup__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 299.87/300.58  186483[2:Res:51947.1,3661.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.58  186480[0:Res:16882.1,3661.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.58  186539[0:Rew:1878.0,186466.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w,v)),v)**.
% 299.87/300.58  186452[0:Res:290.1,3661.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.58  186441[0:Res:378.0,3661.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.58  186255[0:SpL:10150.1,3661.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) hBOOL(hAPP(v,skf50(u)))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(v,x,w)),w)**.
% 299.87/300.58  186580[4:MRR:186301.1,8759.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.58  186585[4:MRR:186266.2,8759.0] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 299.87/300.58  186586[4:MRR:186265.2,10316.1] class_Groups_Ogroup__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 299.87/300.58  186792[0:SpR:1091.1,1143.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.58  186768[0:SpR:554.1,1143.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Olinordered__ring(tc_Polynomial_Opoly(u)) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),v))))*.
% 299.87/300.58  186767[0:SpR:959.1,1143.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 299.87/300.58  186766[0:SpR:957.1,1143.1] class_Rings_Oring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 299.87/300.58  186761[0:SpR:687.1,1143.1] class_Rings_Ocomm__ring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.58  186713[0:SpR:554.1,1143.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Olinordered__ring(tc_Polynomial_Opoly(u)) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))*.
% 299.87/300.58  186712[0:SpR:959.1,1143.1] class_Rings_Osemiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),w)))))*.
% 299.87/300.58  186711[0:SpR:957.1,1143.1] class_Rings_Oring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w)))))*.
% 299.87/300.58  187359[0:SpR:742.0,1145.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(u)),z),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x1)))*.
% 299.87/300.58  187307[0:SpR:1075.0,1145.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),v),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),z)))*.
% 299.87/300.58  187298[0:SpR:742.0,1145.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(u)),x1),v)))*.
% 299.87/300.58  187246[0:SpR:1075.0,1145.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Otimes__class_Otimes(u)),v),hAPP(c_Nat_OSuc,z))))*.
% 299.87/300.58  188012[0:Res:3664.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v,u)),u)**.
% 299.87/300.58  187968[0:Res:3664.0,469.1] class_Orderings_Oorder(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 299.87/300.58  187967[0:Res:3664.0,467.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.58  187944[0:SpL:3664.2,6391.0] || equal(u,v) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf68(w,x,v)),x)**.
% 299.87/300.58  187935[0:SpL:3664.2,10132.0] || equal(skf50(skf68(u,v,w)),w) -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(skf68(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  187903[0:SpR:3664.2,11363.1] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(skf68(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(x,skf50(skf68(u,w,v)),v)*.
% 299.87/300.58  187816[0:SpR:3732.0,3664.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),u)),w,v)),v)**.
% 299.87/300.58  187793[0:SpR:608.2,3664.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)),w)**.
% 299.87/300.58  187754[0:SpR:393.1,3664.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.58  187743[0:SpR:607.2,3664.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(u,v),x,w)),w)**.
% 299.87/300.58  188585[0:Res:3662.0,1621.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v,u)),u)**.
% 299.87/300.58  188541[0:Res:3662.0,469.1] class_Orderings_Oorder(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 299.87/300.58  188540[0:Res:3662.0,467.1] class_Orderings_Olinorder(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.58  188517[0:SpL:3662.2,6391.0] || equal(u,v) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf67(w,x,v)),x)**.
% 299.87/300.58  188508[0:SpL:3662.2,10132.0] || equal(skf50(skf67(u,v,w)),w) -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(skf67(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  188476[0:SpR:3662.2,11363.1] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(skf67(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(x,skf50(skf67(u,w,v)),v)*.
% 299.87/300.58  188389[0:SpR:3732.0,3662.0] ||  -> hBOOL(u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),u)),w,v)),v)**.
% 299.87/300.58  188366[0:SpR:608.2,3662.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)),w)**.
% 299.87/300.58  188327[0:SpR:393.1,3662.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.58  188316[0:SpR:607.2,3662.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(u,v),x,w)),w)**.
% 299.87/300.58  189028[0:SpL:1148.1,24466.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w))* -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  189054[0:SSi:189005.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),v)),x)),w))*.
% 299.87/300.58  1367[0:Inp] class_Rings_Oordered__cancel__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1366[0:Inp] class_Rings_Oordered__cancel__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1351[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1347[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1364[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1363[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1332[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1331[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1360[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1344[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  1365[0:Inp] class_Rings_Oordered__cancel__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.58  1371[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.58  1345[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.58  1352[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.58  1362[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.58  1343[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.58  1369[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.58  1361[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.58  1346[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))*.
% 299.87/300.58  1349[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  1348[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  58880[0:Res:835.2,879.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))* -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)).
% 299.87/300.58  70179[0:SSi:70104.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x))**.
% 299.87/300.58  70647[0:SSi:70551.1,201.1,203.1,184.1,194.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),v))**.
% 299.87/300.58  43856[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(y,z)),hAPP(x1,z)),hAPP(hAPP(x,hAPP(x1,z)),hAPP(hAPP(hAPP(c_COMBS(x2,x3,x4),y),x1),z)))*.
% 299.87/300.58  65854[0:SpR:742.0,931.1] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(u)),z),v)),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(u)),z),v))**.
% 299.87/300.58  57419[0:SpR:1672.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,z))),x1),y),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,z)),hAPP(x1,y)))**.
% 299.87/300.58  57420[0:SpR:1672.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,z,x1))),z),hAPP(hAPP(y,z),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),hAPP(c_Nat_OSuc,x1))))**.
% 299.87/300.58  43855[0:SpR:742.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(x,y)),z),hAPP(x1,y)),hAPP(hAPP(hAPP(hAPP(c_COMBS(x2,x3,x4),x),x1),y),hAPP(z,hAPP(x1,y))))*.
% 299.87/300.58  43984[0:SpR:699.2,742.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),hAPP(c_Nat_OSuc,z)),hAPP(hAPP(y,hAPP(c_Nat_OSuc,z)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  44116[0:SpR:699.2,742.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(c_Nat_OSuc,z)),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(y,hAPP(c_Nat_OSuc,z))))**.
% 299.87/300.58  1356[0:Inp] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),w))**.
% 299.87/300.58  1380[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),w))**.
% 299.87/300.58  1382[0:Inp] class_Rings_Ocomm__semiring(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),w))**.
% 299.87/300.58  1386[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Polynomial_OpCons(u),w),x)))**.
% 299.87/300.58  1384[0:Inp] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))**.
% 299.87/300.58  66129[0:Rew:936.1,66092.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))))*.
% 299.87/300.58  66677[0:SpR:941.1,947.1] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))),x),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),x))))**.
% 299.87/300.58  66004[0:Rew:941.1,65969.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))))*.
% 299.87/300.58  58467[0:Res:833.2,870.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w)),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),x)))*.
% 299.87/300.58  73383[0:Res:954.2,384.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))))))*.
% 299.87/300.58  73537[0:Res:952.2,384.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))))))*.
% 299.87/300.58  74133[0:Res:779.2,971.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.58  74134[0:Res:776.2,971.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))*.
% 299.87/300.58  64574[0:Res:779.2,917.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.58  64575[0:Res:776.2,917.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.58  74493[0:Res:779.2,970.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  74494[0:Res:776.2,970.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  64710[0:Res:779.2,919.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  64711[0:Res:776.2,919.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  70165[0:Rew:1686.1,70123.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  70164[0:Rew:1686.1,70136.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf46(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 299.87/300.58  71161[0:Rew:1660.1,71109.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71160[0:Rew:1660.1,71122.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf46(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.58  64851[0:SpR:816.1,937.2] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),x))*.
% 299.87/300.58  65621[0:SpR:816.1,939.2] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)))*.
% 299.87/300.58  1322[0:Inp] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)))*.
% 299.87/300.58  65687[0:SpL:742.0,938.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),z),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 299.87/300.58  64857[0:SpR:742.0,937.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Rings_Odvd__class_Odvd(u)),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  70634[0:Rew:1685.1,70570.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf49(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))),w)))*.
% 299.87/300.58  70633[0:Rew:1685.1,70583.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf46(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.58  22662[0:SpL:594.1,464.1] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))))*.
% 299.87/300.58  71443[0:Rew:997.1,71380.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71442[0:Rew:997.1,71393.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf46(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.58  1318[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))**.
% 299.87/300.58  1320[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),w))**.
% 299.87/300.58  1378[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),w))**.
% 299.87/300.58  1383[0:Inp] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))**.
% 299.87/300.58  55667[0:SpR:837.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,y))),z),x1),hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),x1)),hAPP(z,x1)))*.
% 299.87/300.58  55668[0:SpR:837.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,z))),x1),hAPP(hAPP(y,x1),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),z),x1))))*.
% 299.87/300.58  76463[0:SpR:956.1,1004.1] class_Rings_Oring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,c_Int_Oring__1__class_Oof__int(u,w))),c_Int_Oring__1__class_Oof__int(u,x)),hAPP(c_Polynomial_Opoly(u,v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))))**.
% 299.87/300.58  63709[0:SpR:816.1,916.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  64230[0:SpR:816.1,918.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.58  63647[0:SpR:816.1,934.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  64103[0:SpR:816.1,932.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.58  74624[0:SpL:1686.1,953.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)).
% 299.87/300.58  73351[0:SpR:1686.1,954.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  74761[0:SpL:1686.1,951.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)).
% 299.87/300.58  73500[0:SpR:1686.1,952.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  74623[0:SpL:1685.1,953.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)).
% 299.87/300.58  73350[0:SpR:1685.1,954.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  74760[0:SpL:1685.1,951.1] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)).
% 299.87/300.58  73499[0:SpR:1685.1,952.2] class_Groups_Ogroup__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  43314[0:SpL:689.2,441.0] class_Groups_Ozero(u) || equal(v,w) equal(hAPP(c_Polynomial_Ocoeff(u,v),skf35(c_Polynomial_Ocoeff(u,w))),hAPP(c_Polynomial_Ocoeff(u,w),skf34(c_Polynomial_Ocoeff(u,w))))* -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,c_Polynomial_Ocoeff(u,w))*.
% 299.87/300.58  57648[0:SpR:902.2,742.0] class_Rings_Oidom(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),hAPP(hAPP(x1,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.87/300.58  57647[0:SpR:902.2,742.0] class_Rings_Oidom(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Otimes__class_Otimes(u),w)),x1),w),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(x1,w)))*.
% 299.87/300.58  76305[0:Obv:76289.0] class_Rings_Ocomm__semiring__0(u) || equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),hAPP(hAPP(c_Polynomial_OpCons(u),y),c_Polynomial_Omonom(u,w,x)))* -> equal(c_Polynomial_Omonom(u,w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  75433[0:Rew:994.1,75425.2] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__0(u) || equal(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),c_Polynomial_Omonom(u,w,hAPP(c_Nat_OSuc,x)))** -> equal(c_Polynomial_Omonom(u,w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  10888[0:Rew:443.1,10841.1] class_Groups_Ocomm__monoid__add(u) || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),skf34(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))) -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.58  72460[0:SpL:955.1,3665.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))))* equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))),x))* -> hBOOL(hAPP(u,x))*.
% 299.87/300.58  1358[0:Inp] class_Fields_Ofield(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w)) equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),v)),w))*.
% 299.87/300.58  15964[0:Rew:550.1,15944.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf35(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf34(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  18973[0:SpL:550.1,492.0] class_Groups_Ogroup__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf33(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v)))* -> equal(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  18933[0:SpL:550.1,492.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))),hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.58  75417[0:SpL:742.0,1003.1] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),z),hAPP(hAPP(c_Polynomial_OpCons(u),x1),hAPP(y,z)))* -> equal(hAPP(y,z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  75426[0:SpL:742.0,1003.1] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(w,x)),hAPP(hAPP(hAPP(c_COMBS(y,z,x1),c_Polynomial_OpCons(u)),w),x))* -> equal(hAPP(w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  58466[0:Res:844.2,870.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),w)),c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),x)))*.
% 299.87/300.58  76656[0:SpR:503.2,963.2] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(c_Groups_Ouminus__class_Ouminus(u),v,w)* SkP1(c_Groups_Ouminus__class_Ouminus(u),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.58  76665[15:SpR:67619.0,963.2] || SkP2(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,u)),v,w)* SkP1(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76666[15:SpR:76473.0,963.2] || SkP2(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u)),v,w)* SkP1(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(t_a),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76783[0:SpR:412.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v,w) SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v,w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76784[0:SpR:414.0,963.2] || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v,w) SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v,w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76966[0:SpR:748.2,963.2] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) SkP2(c_Groups_Oplus__class_Oplus(u),v,w)* SkP1(c_Groups_Oplus__class_Oplus(u),v,w) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))*.
% 299.87/300.58  76968[0:SpR:752.2,963.2] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) SkP2(c_Groups_Oplus__class_Oplus(u),w,v)* SkP1(c_Groups_Oplus__class_Oplus(u),w,v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.58  76703[0:SpR:266.0,963.2] || SkP2(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) SkP1(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.58  76902[0:SpR:496.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Osmult(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* SkP1(c_Polynomial_Osmult(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.58  72405[0:SpR:955.1,3729.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))).
% 299.87/300.58  72459[0:SpL:955.1,3696.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)))*.
% 299.87/300.58  72394[0:SpR:955.1,3709.1] class_Rings_Oring__1(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))) equal(c_Int_Onat__aux(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))**.
% 299.87/300.58  77044[0:Res:963.2,50956.0] || SkP2(u,v,skf46(hAPP(u,v)))* SkP1(u,v,skf46(hAPP(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf46(hAPP(u,v))))* hBOOL(hAPP(hAPP(u,v),w))*.
% 299.87/300.58  76748[0:SpR:4392.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u,v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),u,v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.58  72451[0:SpL:955.1,3680.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))))*.
% 299.87/300.58  72406[0:SpR:955.1,3738.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)))).
% 299.87/300.58  72409[0:SpR:955.1,3720.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Onat__aux(skf48(c_fequal(v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w))),v)).
% 299.87/300.58  58879[0:Res:847.2,879.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)).
% 299.87/300.58  61548[0:Res:539.0,3765.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.58  80311[0:SpR:3761.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(x)),w))))*.
% 299.87/300.58  72395[0:SpR:955.1,3724.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),c_Int_Onat__aux(skf48(c_fequal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v))),w))**.
% 299.87/300.58  80406[0:SpR:3761.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(v)),u))))*.
% 299.87/300.58  80473[0:Rew:3724.0,80430.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),u))))*.
% 299.87/300.58  68856[0:SpL:3724.0,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  69492[0:SpL:3724.0,3665.0] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x))))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(u,y))*.
% 299.87/300.58  80441[0:SpR:3761.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(w)),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.58  68801[0:SpR:3724.0,3720.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),x))),w))*.
% 299.87/300.58  68848[0:SpL:3724.0,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(x)),w))).
% 299.87/300.58  69089[0:SpR:3724.0,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))).
% 299.87/300.58  69370[0:SpR:3724.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),v)))).
% 299.87/300.58  69677[0:Res:740.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),y)),x))*.
% 299.87/300.58  69548[0:SpL:597.2,3665.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y))*.
% 299.87/300.58  69549[0:SpL:598.2,3665.0] class_Groups_Oab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y))*.
% 299.87/300.58  69591[0:SpL:595.1,3665.0] class_Groups_Ogroup__add(u) || hBOOL(v) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),y))*.
% 299.87/300.58  69557[0:SpL:594.1,3665.0] class_Groups_Ogroup__add(u) || hBOOL(v) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),y))*.
% 299.87/300.58  80387[0:SpR:21745.1,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)),hAPP(c_Nat_OSuc,skf44(u,v))))*.
% 299.87/300.58  69388[0:Res:3738.1,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w))),v))).
% 299.87/300.58  69595[0:SpL:558.2,3665.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u))* hBOOL(x) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y))*.
% 299.87/300.58  69663[0:Res:694.1,3665.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),x))*.
% 299.87/300.58  80257[0:SpR:21745.1,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),hAPP(c_Nat_OSuc,skf44(u,v))))*.
% 299.87/300.58  69395[0:Res:3738.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),u))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),u).
% 299.87/300.58  69124[0:Res:3729.1,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),x))*.
% 299.87/300.58  68702[0:Res:3720.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf48(v))),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.58  68705[0:Res:3720.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf60(v))),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.58  68692[0:Res:3720.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)).
% 299.87/300.58  47784[0:SpR:3757.0,3704.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(u)),v)))**.
% 299.87/300.58  78960[0:Rew:78959.0,65895.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)))*.
% 299.87/300.58  47783[0:SpR:3757.0,3703.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.58  71446[0:Rew:997.1,71313.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))**.
% 299.87/300.58  71164[0:Rew:1660.1,71043.1] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))**.
% 299.87/300.58  79882[0:SpR:931.1,1028.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  71445[0:Rew:999.1,71444.1,999.1,71444.1,999.1,71444.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)))))))*.
% 299.87/300.58  72960[0:Rew:999.1,72830.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)))**.
% 299.87/300.58  72686[0:Rew:1659.1,72556.1] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)))**.
% 299.87/300.58  65870[0:SpL:931.1,929.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),w).
% 299.87/300.58  80041[0:SpR:931.1,1026.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  76782[0:SpR:418.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v,w) SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v,w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  80682[0:SpL:931.1,1032.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)).
% 299.87/300.58  80640[0:SpL:931.1,1032.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))).
% 299.87/300.58  80083[0:SpR:931.1,1026.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.58  46946[0:SpR:3709.1,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u))*.
% 299.87/300.58  46848[0:SpL:3709.1,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),v))*.
% 299.87/300.58  30397[0:SpL:609.2,492.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf33(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(w,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Otimes__class_Otimes(u),v)).
% 299.87/300.58  30395[0:SpL:609.2,492.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),w)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),w),v).
% 299.87/300.58  66578[0:SpR:3723.1,854.3] class_Rings_Osemiring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),v)) c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),w)) -> c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.58  55524[0:SpR:852.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,z))),x1),hAPP(hAPP(y,x1),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),z),x1))))*.
% 299.87/300.58  55523[0:SpR:852.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,y))),z),x1),hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),x1)),hAPP(z,x1)))*.
% 299.87/300.58  43852[0:SpR:742.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(v,w),x,hAPP(hAPP(hAPP(c_COMBS(y,z,x1),v),x2),w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(v,w),hAPP(c_Nat_OSuc,x),hAPP(x2,w)))**.
% 299.87/300.58  43981[0:SpR:736.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))),c_Nat_Osemiring__1__class_Oof__nat(u,z)),hAPP(hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,z)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,z))))*.
% 299.87/300.58  44113[0:SpR:736.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))),y),c_Nat_Osemiring__1__class_Oof__nat(u,z)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,z)),hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,z))))*.
% 299.87/300.58  66600[0:SpL:3723.1,464.1] class_Rings_Osemiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)))))*.
% 299.87/300.58  43687[0:SpR:689.2,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) || equal(w,x) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,w),y,hAPP(c_Polynomial_Ocoeff(u,x),z)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,w),hAPP(c_Nat_OSuc,y),z))**.
% 299.87/300.58  43649[0:SpR:443.1,739.1] class_Groups_Ocomm__monoid__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,x))**.
% 299.87/300.58  43673[0:SpR:495.1,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),skf37(u,w)),hAPP(c_Nat_OSuc,x),skf36(u,w)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),skf37(u,w)),x,w))**.
% 299.87/300.58  43674[0:SpR:565.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),w,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))**.
% 299.87/300.58  43665[0:SpR:609.2,739.1] class_Rings_Oring__no__zero__divisors(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),x),y,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  49686[0:SpR:816.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),x)))**.
% 299.87/300.58  43601[0:SpR:615.2,739.1] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Oone__class_Oone(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.58  43603[0:SpR:608.2,739.1] class_Rings_Oring__no__zero__divisors(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),y),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  43680[0:SpR:613.2,739.1] class_Groups_Olinordered__ab__group__add(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  43627[0:SpR:554.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.58  79924[0:SpR:931.1,1028.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))*.
% 299.87/300.58  56944[0:Res:835.2,21751.0] class_Rings_Olinordered__idom(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) equal(skf44(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),w)* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))*.
% 299.87/300.58  1885[0:Rew:1878.0,1335.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  1884[0:Rew:1878.0,1326.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.58  1883[0:Rew:1878.0,1325.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.58  1920[0:Rew:1878.0,1353.2] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 299.87/300.58  1919[0:Rew:1878.0,1338.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  1918[0:Rew:1878.0,1337.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.58  58990[0:Res:1901.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) equal(u,skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,u)),hAPP(c_Nat_OSuc,w))),v))*.
% 299.87/300.58  67371[0:Res:939.2,1900.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))*.
% 299.87/300.58  67359[0:SpL:742.0,1900.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(u,v))) hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(u,v)))*.
% 299.87/300.58  76956[0:SpR:744.2,963.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) SkP2(c_Polynomial_Osmult(u),w,v)* SkP1(c_Polynomial_Osmult(u),w,v) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.58  62449[0:SpL:21745.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf48(u),v))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.58  62441[0:SpL:21745.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf60(u),v))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.58  76777[0:SpR:360.1,963.2] class_Groups_Ocomm__monoid__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76776[0:SpR:359.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76766[0:SpR:355.1,963.2] class_Groups_Omonoid__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76764[0:SpR:351.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76775[0:SpR:363.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76778[0:SpR:365.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v,w)* SkP1(hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  69585[0:SpL:555.1,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))*.
% 299.87/300.58  69596[0:SpL:556.1,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y))*.
% 299.87/300.58  60406[0:SpL:1672.1,12538.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf48(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf48(v),w)),skf60(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf48(v),w)))))*.
% 299.87/300.58  59538[0:SpL:1672.1,12183.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf60(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf60(v),w)),skf60(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf60(v),w)))))*.
% 299.87/300.58  1376[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.58  76765[0:SpR:354.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76901[0:SpR:444.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* SkP1(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.58  76933[0:SpR:443.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)* SkP1(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)).
% 299.87/300.58  74626[0:SpL:955.1,953.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w))).
% 299.87/300.58  73353[0:SpR:955.1,954.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  74763[0:SpL:955.1,951.1] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w))).
% 299.87/300.58  73502[0:SpR:955.1,952.2] class_Rings_Oring__1(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  68710[0:Res:3720.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf47(v))),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.58  60853[0:SpL:1672.1,16218.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf47(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf47(v),w)),skf60(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf47(v),w)))))*.
% 299.87/300.58  62446[0:SpL:21745.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf47(u),v))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.58  62439[0:SpL:21745.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf57(u),v))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.58  68700[0:Res:3720.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf57(v))),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))))*.
% 299.87/300.58  60165[0:SpL:1672.1,12380.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf57(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf57(v),w)),skf60(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,skf57(v),w)))))*.
% 299.87/300.58  67834[0:Res:585.1,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))* -> equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) equal(u,v).
% 299.87/300.58  62442[0:SpL:21745.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Int_Oint),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.58  68706[0:Res:3720.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.87/300.58  57435[0:SpL:1672.1,4192.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Oone__class_Oone(tc_Int_Oint),v)),skf60(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Oone__class_Oone(tc_Int_Oint),v)))))*.
% 299.87/300.58  66128[0:Rew:936.1,66093.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)))*.
% 299.87/300.58  66003[0:Rew:941.1,65970.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,skf47(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)))*.
% 299.87/300.58  66127[0:Rew:936.1,66095.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf57(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf48(c_fequal(w)))))*.
% 299.87/300.58  66002[0:Rew:941.1,65972.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf57(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf48(c_fequal(w)))))*.
% 299.87/300.58  78918[0:SpL:1059.0,925.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v)))* -> equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  54498[0:SpR:890.3,742.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),z),v),hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(z,v)))**.
% 299.87/300.58  54499[0:SpR:890.3,742.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),v),hAPP(hAPP(z,v),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  47670[0:Rew:551.0,47556.2,551.0,47556.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(u,skf62(hAPP(c_COMBC(w,x,y,u),v),z)),v))* -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,x1)),v))*.
% 299.87/300.58  43669[0:SpR:683.2,739.1] class_Power_Opower(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),x),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),x),y,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.58  48246[0:Res:12638.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),u))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))),v) equal(hAPP(c_Int_Onat,v),u).
% 299.87/300.58  43675[0:SpR:614.1,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),w),hAPP(c_Nat_OSuc,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),w),x,c_Polynomial_Omonom(u,w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))*.
% 299.87/300.58  29106[0:SpL:683.2,492.0] class_Power_Opower(u) || equal(skf33(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(w,skf33(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Oone__class_Oone(u))** -> equal(w,hAPP(c_Power_Opower__class_Opower(u),v)).
% 299.87/300.58  29104[0:SpL:683.2,492.0] class_Power_Opower(u) || equal(skf33(v,hAPP(c_Power_Opower__class_Opower(u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(v,hAPP(c_Power_Opower__class_Opower(u),w))),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(c_Power_Opower__class_Opower(u),w),v).
% 299.87/300.58  48248[0:Res:12638.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,v)),u))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))),v) equal(hAPP(c_Int_Onat,v),u).
% 299.87/300.58  41676[0:Res:587.1,735.0] || equal(u,v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.58  41435[0:Rew:602.0,41345.1,602.0,41345.0] || hBOOL(hAPP(u,hAPP(v,w))) -> hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(u,hAPP(v,hAPP(c_Nat_OSuc,skf55(w,hAPP(hAPP(c_COMBB(x,y,z),u),v))))))*.
% 299.87/300.58  48320[0:Rew:687.1,48177.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v))),v)**.
% 299.87/300.58  42389[0:Rew:687.1,42350.2,687.1,42350.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))))))*.
% 299.87/300.58  48183[0:SpR:558.2,12638.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(w) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),v)**.
% 299.87/300.58  48242[0:Res:12638.1,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(c_Int_Onat,v))))*.
% 299.87/300.58  57680[0:SpL:902.2,735.0] class_Rings_Oidom(u) || equal(v,w)* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.58  63054[0:Res:12638.1,923.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) SkP0(v,u) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.58  53666[0:Res:1914.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,v),w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.58  48176[0:SpR:555.1,12638.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),v))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),w).
% 299.87/300.58  48142[0:SpR:597.2,12638.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Int_Onat,w)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))),w)**.
% 299.87/300.58  48143[0:SpR:598.2,12638.1] class_Groups_Oab__group__add(u) || equal(v,hAPP(c_Int_Onat,w)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))),w)**.
% 299.87/300.58  48184[0:SpR:556.1,12638.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,w)),v))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),w).
% 299.87/300.58  42443[0:SpL:736.1,735.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,v),w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.58  43596[0:SpR:686.1,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,x),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,x),y,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  42783[0:SpL:686.1,441.0] class_Rings_Oidom(u) || equal(hAPP(c_Polynomial_Opoly(u,v),skf34(c_Polynomial_Opoly(u,v))),c_Groups_Ozero__class_Ozero(u))** -> equal(c_Polynomial_Oorder(u,skf35(c_Polynomial_Opoly(u,v)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(u,v))*.
% 299.87/300.58  44158[0:SpL:742.0,735.0] || hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z))* -> hBOOL(hAPP(hAPP(x,z),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(y,z),x1)),hAPP(y,z)))*.
% 299.87/300.58  56733[0:Res:835.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,w),x)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  56845[0:Res:833.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,w),x)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  63665[0:Res:934.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  63732[0:Res:916.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  55741[0:Rew:837.1,55699.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.58  56552[0:Res:847.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,w),x)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  56644[0:Res:844.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,w),x)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  57431[0:SpL:1672.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.58  68695[0:Res:3720.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.58  74581[0:Res:12638.1,28283.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  74713[0:Res:12638.1,28828.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  74893[0:Res:12638.1,28830.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  77299[0:Res:12638.1,38551.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  77587[0:Res:12638.1,38559.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  77665[0:Res:12638.1,39778.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  66889[0:MRR:66888.2,66852.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v))).
% 299.87/300.58  66886[0:MRR:66885.2,66852.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))*.
% 299.87/300.58  52035[0:Res:831.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,v),w)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  51371[0:Res:12957.1,12635.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),skf58(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),v))*.
% 299.87/300.58  77653[0:Res:12637.1,39778.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))* equal(skf48(c_fequal(skf62(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 299.87/300.58  51391[0:Res:576.2,12635.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w))*.
% 299.87/300.58  53404[0:Res:12637.0,12634.1] || hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))),v)** hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.58  51455[0:Rew:602.0,51359.2] || hBOOL(hAPP(u,hAPP(v,skf48(c_fequal(skf58(hAPP(hAPP(c_COMBB(w,x,y),u),v)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),z))* -> hBOOL(hAPP(u,hAPP(v,z)))*.
% 299.87/300.58  77575[0:Res:12637.1,38559.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))))* equal(skf48(c_fequal(skf62(u,hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))).
% 299.87/300.58  53845[0:Res:825.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,v),w)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  67145[0:SpL:753.0,966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.58  58458[0:Res:825.2,870.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w)))*.
% 299.87/300.58  1336[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.58  47573[0:Res:536.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.58  67464[0:SpL:742.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(u,v))) hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Int_Oint)),u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(u,v)))*.
% 299.87/300.58  68920[0:Rew:3654.0,68810.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v))),v)**.
% 299.87/300.58  58472[0:Res:12637.0,870.1] class_Orderings_Oord(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_fun(w,u),x),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(w,u),x),hAPP(c_Int_Onat,v)))*.
% 299.87/300.58  53273[0:SpR:690.2,12637.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.58  53277[0:SpR:686.1,12637.0] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,hAPP(c_Int_Onat,v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,w),v))),v)**.
% 299.87/300.58  53307[0:SpR:741.1,12637.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.58  53324[0:SpR:687.1,12637.0] class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v))),v)**.
% 299.87/300.58  53397[0:Res:12637.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v))*.
% 299.87/300.58  53400[0:Res:12637.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))*.
% 299.87/300.58  53408[0:Res:12637.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(v,u))),u)** hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,u),w)),hAPP(c_Int_Onat,u)))*.
% 299.87/300.58  59292[0:Rew:2526.0,59263.3] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(w,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.58  58465[0:Res:827.2,870.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))*.
% 299.87/300.58  53339[0:SpR:691.1,12637.0] class_Groups_Ouminus(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Int_Onat,w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v),w))),w)**.
% 299.87/300.58  62440[0:SpL:21745.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Nat_OSuc,skf44(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))))*.
% 299.87/300.58  76763[0:SpR:19349.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.58  68704[0:Res:3720.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),skf60(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.87/300.58  53256[0:SpR:14019.0,12637.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(v)))**.
% 299.87/300.58  53255[0:SpR:12488.0,12637.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(v)))**.
% 299.87/300.58  53254[0:SpR:12331.0,12637.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(v)))**.
% 299.87/300.58  53253[0:SpR:12132.0,12637.0] ||  -> hBOOL(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(v)))**.
% 299.87/300.58  53341[0:SpR:689.2,12637.0] class_Groups_Ozero(u) || equal(v,w)* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,v),x))),x)**.
% 299.87/300.58  52469[0:Res:576.2,839.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf62(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  52523[0:Rew:602.0,52449.1] || hBOOL(hAPP(u,hAPP(v,skf62(hAPP(hAPP(c_COMBB(w,x,y),u),v),z))))* -> hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  57434[0:SpL:1672.1,4191.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)),skf60(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)))))*.
% 299.87/300.58  52393[0:SpL:448.2,839.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf62(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(skf62(c_Groups_Ouminus__class_Ouminus(u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.58  47509[0:SpL:448.2,805.1] class_Groups_Olinordered__ab__group__add(u) || equal(skf62(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(skf62(c_Groups_Ouminus__class_Ouminus(u),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.58  69542[0:SpL:313.1,3665.0] class_Lattices_Oab__semigroup__idem__mult(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 299.87/300.58  155896[0:Rew:1059.0,155793.1,46499.0,155793.1,78959.0,155793.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)))*.
% 299.87/300.58  158428[0:Res:12638.1,63126.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,hAPP(c_Int_Onat,u))))),u))),u)**.
% 299.87/300.58  168403[0:SpL:931.1,1031.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.58  168362[0:SpL:931.1,1031.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.58  170023[0:SpL:10145.1,924.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(w)))* equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  170401[0:Res:16882.1,1007.1] || equal(skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v,w),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.58  170371[0:Res:428.2,1007.1] class_Orderings_Oorder(u) || equal(skf68(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  170370[0:Res:1639.2,1007.1] class_Orderings_Olinorder(u) || equal(skf68(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  170789[0:Res:16882.1,1010.1] || equal(skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v,w),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.58  170759[0:Res:428.2,1010.1] class_Orderings_Oorder(u) || equal(skf67(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  170758[0:Res:1639.2,1010.1] class_Orderings_Olinorder(u) || equal(skf67(c_Orderings_Oord__class_Oless__eq(u,v),w,x),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 299.87/300.58  171663[0:Obv:171639.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  172257[0:SpL:1093.1,561.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))* -> equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)).
% 299.87/300.58  172256[0:SpL:1093.1,570.1] class_Rings_Ocomm__ring(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))* -> equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)).
% 299.87/300.58  172240[0:SpL:1093.1,560.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))*.
% 299.87/300.58  172239[0:SpL:1093.1,502.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.58  172189[0:SpR:1093.1,505.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.58  172188[0:SpR:1093.1,506.1] class_Rings_Ocomm__ring(u) class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.58  172187[0:SpR:1093.1,503.2] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.58  172317[0:SpR:745.1,1683.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Polynomial_Omonom(u,w,x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))**.
% 299.87/300.58  172304[0:SpR:503.2,1683.1] class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.58  172484[0:SpL:1064.1,943.1] class_Power_Opower(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  172483[0:SpL:1064.1,942.1] class_Power_Opower(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  172572[0:SSi:172424.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))**.
% 299.87/300.58  172689[0:SpL:1689.1,943.1] class_Groups_Omonoid__mult(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  172688[0:SpL:1689.1,942.1] class_Groups_Omonoid__mult(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  173206[0:SpL:1091.1,943.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  173205[0:SpL:1091.1,942.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(u))** equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  173192[0:SpL:1091.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(u),v)))))*.
% 299.87/300.58  173119[0:SpR:1091.1,931.1] class_Rings_Ocomm__semiring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))**.
% 299.87/300.58  174585[4:MRR:174468.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.58  174915[4:MRR:174797.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.58  176334[0:Res:515.2,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),skf41(c_Orderings_Oord__class_Oless__eq(u,y),z,x1)))*.
% 299.87/300.58  176318[0:Res:525.2,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),skf41(c_Orderings_Oord__class_Oless(u,y),z,x1)))*.
% 299.87/300.58  176304[0:Res:525.1,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),skf41(c_Orderings_Oord__class_Oless__eq(u,y),z,x1)))*.
% 299.87/300.58  176462[4:MRR:176256.3,8759.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),y,z)))*.
% 299.87/300.58  176665[0:Res:916.2,1051.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  176596[0:Res:918.2,1051.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  176960[0:Res:934.2,1043.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  176873[0:Res:932.2,1043.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  174700[2:Res:51947.1,1007.1] || equal(skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v,w),u)** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.58  174701[2:Res:51947.1,1010.1] || equal(skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v,w),u)** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.58  176392[2:Res:146402.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf41(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x,y)))*.
% 299.87/300.58  177273[0:Res:916.2,1045.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  177205[0:Res:918.2,1045.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  177526[0:Res:934.2,1063.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.58  177441[0:Res:932.2,1063.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  177701[0:Res:916.2,1050.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  177633[0:Res:918.2,1050.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  177972[0:Res:934.2,1062.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  177887[0:Res:932.2,1062.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178261[0:Res:916.2,1044.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  178193[0:Res:918.2,1044.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178537[0:Res:934.2,1042.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  178452[0:Res:932.2,1042.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  179025[0:SpL:1092.2,384.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),w)))))*.
% 299.87/300.58  178987[0:SpL:1092.2,384.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),v)))))*.
% 299.87/300.58  179264[0:SpL:1082.1,943.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ono__zero__divisors(u) || equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  179263[0:SpL:1082.1,942.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  179907[0:SpL:1075.0,1656.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Nat_Onat))** -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  179895[0:SpL:1075.0,700.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  179849[8:SpR:49088.0,1075.0] ||  -> equal(hAPP(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Nat_OSuc),skf62(c_Int_Onat,skf47(c_Int_Onat))),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Nat_OSuc),skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.58  179684[0:SpR:393.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(u),x)),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(u),x)),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.58  179628[0:SpR:448.2,1075.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.58  179608[0:SpR:1075.0,602.0] ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_COMBB(w,x,y)),z),hAPP(c_Nat_OSuc,x1)),x2),hAPP(z,hAPP(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_COMBB(w,x,y)),z),x1),x2)))*.
% 299.87/300.58  179513[0:SpR:1075.0,551.0] ||  -> equal(hAPP(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_COMBC(x,y,z,u)),x1),x2)),x1),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_COMBC(x,y,z,u)),x1),hAPP(c_Nat_OSuc,x2)))**.
% 299.87/300.58  179496[0:SpR:1075.0,713.1] class_Groups_Ozero(u) ||  -> equal(c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),v),y))),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),v),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.58  180008[0:SpL:837.1,1929.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  180007[0:SpL:742.0,1929.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Power_Opower__class_Opower(tc_Nat_Onat)),x),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),y)) equal(hAPP(x,y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  180180[0:SpR:742.0,179332.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Power_Opower__class_Opower(tc_Int_Oint)),x),y),z)),y),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),c_Int_Onat__aux(skf48(c_fequal(z)),hAPP(x,y))))**.
% 299.87/300.58  180230[0:SSi:180155.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Opcompose(tc_Int_Oint,u,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w),x))),v),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Int_Onat__aux(skf48(c_fequal(x)),w))))**.
% 299.87/300.58  180303[0:Res:579.1,42251.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf44(u,v)),skf44(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> equal(skf44(u,v),skf44(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  180642[0:SpR:451.2,1700.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__1(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x))* -> equal(hAPP(c_Polynomial_Ocoeff(u,v),x),c_Groups_Oone__class_Oone(u))**.
% 299.87/300.58  180877[0:SSi:180854.1,113.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))** -> equal(w,c_Groups_Oone__class_Oone(u)) equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.58  180878[0:SSi:180824.1,113.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),c_Groups_Oone__class_Oone(u))** -> equal(v,c_Groups_Oone__class_Oone(u)) equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.58  181418[0:SpR:6938.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),w),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Nat_OSuc,x))))**.
% 299.87/300.58  181403[0:SpR:9490.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(w))),x),skf50(skf64(w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,skf50(skf64(w)))))**.
% 299.87/300.58  181384[0:SpR:1637.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v)),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(x,y)))**.
% 299.87/300.58  181379[0:SpR:490.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,y)))**.
% 299.87/300.58  181346[0:SpR:402.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181345[0:SpR:401.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181344[0:SpR:403.1,1098.1] class_Rings_Omult__zero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,c_Groups_Ozero__class_Ozero(u))))**.
% 299.87/300.58  181337[0:SpR:458.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),y),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(y,v)))**.
% 299.87/300.58  181317[0:SpR:443.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,y)))*.
% 299.87/300.58  181294[0:SpR:172507.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(w,hAPP(c_Nat_OSuc,x))))**.
% 299.87/300.58  181293[0:SpR:172506.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Nat_OSuc,x))))**.
% 299.87/300.58  181288[0:SpR:442.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(x,y)))**.
% 299.87/300.58  181280[0:SpR:411.1,1098.1] class_Power_Opower(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),x)),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.58  181279[0:SpR:409.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),x)),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.58  181277[0:SpR:491.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x)),y),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(y,v)))**.
% 299.87/300.58  181242[0:SpR:12132.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(x)))))**.
% 299.87/300.58  181241[0:SpR:12331.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(x)))))**.
% 299.87/300.58  181240[0:SpR:12488.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(x)))))**.
% 299.87/300.58  181239[0:SpR:14019.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(x)))))**.
% 299.87/300.58  181238[0:SpR:1986.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Int_Onat),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))))**.
% 299.87/300.58  181236[0:SpR:379.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_Onat_Onat__case(w,x,y)),z),hAPP(c_Nat_OSuc,x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,x1)),hAPP(z,hAPP(c_Nat_OSuc,x1))))*.
% 299.87/300.58  181214[0:SpR:448.2,1098.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),c_Groups_Ouminus__class_Ouminus(u)),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),w),hAPP(y,w)))*.
% 299.87/300.58  181184[0:SpR:6938.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Nat_OSuc,x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181169[0:SpR:9490.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(x))),skf50(skf64(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf50(skf64(x)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.58  181150[0:SpR:1637.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,y)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.58  181145[0:SpR:490.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181112[0:SpR:402.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  181111[0:SpR:401.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  181110[0:SpR:403.1,1098.1] class_Rings_Omult__zero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.58  181103[0:SpR:458.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y)),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181083[0:SpR:443.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),y))*.
% 299.87/300.58  181060[0:SpR:172507.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Nat_OSuc,x))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))**.
% 299.87/300.58  181059[0:SpR:172506.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Nat_OSuc,x))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181054[0:SpR:442.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.58  181046[0:SpR:411.1,1098.1] class_Power_Opower(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.58  181045[0:SpR:409.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.58  181043[0:SpR:491.1,1098.1] class_Groups_Ominus(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y)),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 299.87/300.58  181008[0:SpR:12132.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181007[0:SpR:12331.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181006[0:SpR:12488.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181005[0:SpR:14019.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(x)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181004[0:SpR:1986.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.58  181002[0:SpR:379.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_Onat_Onat__case(x,y,z)),hAPP(c_Nat_OSuc,x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Nat_OSuc,x1))),hAPP(z,x1)))*.
% 299.87/300.58  180980[0:SpR:448.2,1098.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),c_Groups_Ouminus__class_Ouminus(u)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),w))*.
% 299.87/300.58  180971[0:SpR:742.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(tc_fun(y,u))),z),x1),x2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x1,x2)),hAPP(hAPP(z,x1),x2)))*.
% 299.87/300.58  181506[0:SSi:180945.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,tc_Nat_Onat)),y),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(y,w)),u)))*.
% 299.87/300.58  181507[0:SSi:180936.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,tc_Nat_Onat)),u),y),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(y,v))))*.
% 299.87/300.58  181508[0:SSi:180933.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(x,w))),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,tc_Nat_Onat)),v),x),w)))*.
% 299.87/300.58  181509[0:SSi:180929.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(x,v)),w)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,tc_Nat_Onat)),x),u),v)))*.
% 299.87/300.58  181549[0:SpR:742.0,1118.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),z)),x1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(c_Polynomial_Opoly(u,hAPP(y,z)),x1)))*.
% 299.87/300.58  181600[0:SSi:181551.2,122.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)) -> equal(hAPP(c_Polynomial_Opoly(u,v),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),y)))*.
% 299.87/300.58  181602[0:Obv:181526.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),y))),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))),y))**.
% 299.87/300.58  181709[0:SpR:451.2,1114.1] class_Groups_Ozero(u) class_Rings_Ocomm__semiring__0(u) || equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)) -> equal(hAPP(c_Polynomial_Ocoeff(u,v),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,x),y)))*.
% 299.87/300.58  181707[0:SpR:742.0,1114.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),z)),x1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(c_Polynomial_Ocoeff(u,hAPP(y,z)),x1)))*.
% 299.87/300.58  181974[0:SpL:1120.3,12538.0] class_Groups_Ozero(u) || equal(v,skf48(w))* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),skf60(hAPP(c_Polynomial_OpCons(u),y))))*.
% 299.87/300.58  181964[0:SpL:1120.3,16218.0] class_Groups_Ozero(u) || equal(v,skf47(w))* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),skf60(hAPP(c_Polynomial_OpCons(u),y))))*.
% 299.87/300.58  181963[0:SpL:1120.3,4192.0] class_Groups_Ozero(u) || equal(v,c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(w,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),skf60(hAPP(c_Polynomial_OpCons(u),x))))*.
% 299.87/300.58  181961[0:SpL:1120.3,4191.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(w,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),skf60(hAPP(c_Polynomial_OpCons(u),x))))*.
% 299.87/300.58  181959[0:SpL:1120.3,12380.0] class_Groups_Ozero(u) || equal(v,skf57(w))* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),skf60(hAPP(c_Polynomial_OpCons(u),y))))*.
% 299.87/300.58  181956[0:SpL:1120.3,12183.0] class_Groups_Ozero(u) || equal(v,skf60(w))* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),skf60(hAPP(c_Polynomial_OpCons(u),y))))*.
% 299.87/300.58  181875[0:SpR:1120.3,742.0] class_Groups_Ozero(u) || equal(v,hAPP(w,x)) equal(y,x) -> equal(hAPP(hAPP(hAPP(c_COMBS(z,x1,x2),c_Polynomial_OpCons(u)),w),x),hAPP(hAPP(c_Polynomial_OpCons(u),y),v))*.
% 299.87/300.58  182420[0:MRR:182392.0,243.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)),u))),u)** equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.58  182576[0:Rew:182574.2,182362.2] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.58  182586[0:MRR:182562.0,243.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,u))),u))),u)** equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.58  182935[0:Rew:2526.0,182897.3,2526.0,182897.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))* equal(w,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.58  183089[0:Res:12714.2,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(c_Groups_Ozero__class_Ozero(tc_Int_Oint))))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.58  183077[0:Res:12714.2,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf47(v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.58  183076[0:Res:12714.2,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(c_Groups_Oone__class_Oone(tc_Int_Oint))))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.58  183072[0:Res:12714.2,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf57(v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.58  183069[0:Res:12714.2,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf60(v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.58  183067[0:Res:12714.2,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf48(v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.58  183440[18:MRR:183439.1,111803.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Int_Onat,v))))* equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))),v).
% 299.87/300.58  183693[0:Rew:2526.0,183663.3,2526.0,183663.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) equal(w,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.58  183959[0:SpR:12953.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))))*.
% 299.87/300.58  184026[0:SSi:183951.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))))*.
% 299.87/300.58  184029[0:Rew:601.0,183929.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))*.
% 299.87/300.58  184227[0:SpL:12953.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u))),v)).
% 299.87/300.58  184288[0:SSi:184219.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),c_Int_Oring__1__class_Oof__int(tc_Int_Oint,u)),v)).
% 299.87/300.58  184291[0:Rew:601.0,184197.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)).
% 299.87/300.58  184554[0:SSi:184501.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)),v)))*.
% 299.87/300.58  184557[0:SSi:184451.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,w)),u)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  184996[0:SpL:13147.1,3769.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),w),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y))*.
% 299.87/300.58  184955[0:SpL:13147.1,3769.1] || equal(skf48(c_fequal(u)),v)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))* equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x),c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),y))*.
% 299.87/300.58  185324[0:SpR:18347.0,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf50(skf64(v)))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(c_Int_Onat__aux(skf48(c_fequal(w)),skf64(v)))),u),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,skf50(skf64(v)))))**.
% 299.87/300.58  185279[4:SpR:21749.1,54404.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),v)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),v)))*.
% 299.87/300.58  185512[0:SpR:3753.0,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))),u),c_Int_Onat__aux(skf48(c_fequal(skf44(u,hAPP(c_Nat_OSuc,v)))),w))**.
% 299.87/300.58  185475[0:SpR:13147.1,21752.1] || equal(skf48(c_fequal(u)),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),x)),w),c_Int_Onat__aux(skf48(c_fequal(skf44(w,u))),x))*.
% 299.87/300.58  185590[4:Rew:3749.0,185453.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf49(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),u)))*.
% 299.87/300.58  185693[0:SSi:185663.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w)).
% 299.87/300.58  185731[0:SSi:185718.1,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),y),x)))*.
% 299.87/300.58  185732[0:SSi:185717.1,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Polynomial_Osmult(u),y),x)))*.
% 299.87/300.58  185779[0:SSi:185762.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x),y)))*.
% 299.87/300.58  185780[0:SSi:185760.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),y),x)))*.
% 299.87/300.58  186073[0:Res:5870.1,3663.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.58  186007[0:Res:428.2,3663.0] class_Orderings_Oorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.58  186006[0:Res:1639.2,3663.0] class_Orderings_Olinorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.58  186488[0:Res:5870.1,3661.0] || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.58  186422[0:Res:428.2,3661.0] class_Orderings_Oorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.58  186421[0:Res:1639.2,3661.0] class_Orderings_Olinorder(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.58  186789[0:SpR:752.2,1143.1] class_Groups_Ogroup__add(u) class_Rings_Olinordered__ring(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  187098[0:Res:1144.2,384.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))))))*.
% 299.87/300.58  187182[0:SSi:187067.0,129.1] class_Rings_Oidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),c_Nat_Osemiring__1__class_Oof__nat(u,v))))*.
% 299.87/300.58  187183[0:SSi:187066.0,136.1] class_Rings_Oidom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),c_Int_Oring__1__class_Oof__int(u,v))))*.
% 299.87/300.58  187184[0:SSi:187006.0,129.1] class_Rings_Oidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))))*.
% 299.87/300.58  187185[0:SSi:187005.0,136.1] class_Rings_Oidom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),v))))*.
% 299.87/300.58  187371[0:Res:1145.2,384.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Int_Onat,skf48(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))))*.
% 299.87/300.58  187448[0:SSi:187339.0,129.1] class_Rings_Oidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),x)))*.
% 299.87/300.58  187449[0:SSi:187338.0,136.1] class_Rings_Oidom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),x)))*.
% 299.87/300.58  187454[0:SSi:187278.0,129.1] class_Rings_Oidom(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))))*.
% 299.87/300.58  187455[0:SSi:187277.0,136.1] class_Rings_Oidom(u) || equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x))))*.
% 299.87/300.58  188064[0:Res:3664.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.58  188004[0:Res:3664.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.58  187915[0:SpR:12545.1,3664.2] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),skf64(u))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf64(u))) equal(c_Int_Onat__aux(u,skf68(v,skf64(u),w)),w)**.
% 299.87/300.58  187906[0:SpR:13147.1,3664.2] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf68(w,u,x)),x)**.
% 299.87/300.58  187813[0:SpR:414.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v,u)),u)**.
% 299.87/300.58  187812[0:SpR:412.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v,u)),u)**.
% 299.87/300.58  187811[0:SpR:418.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v,u)),u)**.
% 299.87/300.58  187757[0:SpR:685.2,3664.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Polynomial_Osmult(u),v),x,w)),w)**.
% 299.87/300.58  188637[0:Res:3662.0,537.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.58  188577[0:Res:3662.0,518.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.58  188488[0:SpR:12545.1,3662.2] || equal(u,c_Groups_Oone__class_Oone(tc_Int_Oint)) -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),skf64(u))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf64(u))) equal(c_Int_Onat__aux(u,skf67(v,skf64(u),w)),w)**.
% 299.87/300.58  188479[0:SpR:13147.1,3662.2] || equal(skf48(c_fequal(u)),v) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) equal(c_Int_Onat__aux(c_Int_Oring__1__class_Oof__int(tc_Int_Oint,v),skf67(w,u,x)),x)**.
% 299.87/300.58  188386[0:SpR:414.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v,u)),u)**.
% 299.87/300.58  188385[0:SpR:412.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v,u)),u)**.
% 299.87/300.58  188384[0:SpR:418.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v,u)),u)**.
% 299.87/300.58  188330[0:SpR:685.2,3662.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Polynomial_Osmult(u),v),x,w)),w)**.
% 299.87/300.58  189057[0:SSi:189002.0,208.1,185.1,173.1,209.1,189.1,204.1,180.1,192.1] class_Rings_Osemiring__0(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)),v),hAPP(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w))**.
% 299.87/300.58  1391[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v)).
% 299.87/300.58  1390[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w)).
% 299.87/300.58  49685[0:SpR:816.1,691.1] class_Groups_Oab__group__add(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,v)),w),x),y)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,v)),x),w),y))**.
% 299.87/300.58  73115[0:SpR:742.0,1661.1] class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),z))),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),z))**.
% 299.87/300.58  44127[0:SpL:742.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(v,w),hAPP(x,w)))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(y,z,x1),v),x),c_Orderings_Oord__class_OLeast(u,hAPP(hAPP(c_COMBS(y,z,x1),v),x))))*.
% 299.87/300.58  1393[0:Inp] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf41(v,w,u)),c_Groups_Ozero__class_Ozero(u))))*.
% 299.87/300.58  1387[0:Inp] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),w))**.
% 299.87/300.58  1397[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),w))**.
% 299.87/300.58  1398[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Polynomial_Osynthetic__div(u,v,w))),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Polynomial_Opoly(u,v),w)),c_Polynomial_Osynthetic__div(u,v,w)))**.
% 299.87/300.58  1389[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))))*.
% 299.87/300.58  1392[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),v))*.
% 299.87/300.58  66068[0:SpR:936.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y))),z),x1),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,y),x1)),hAPP(z,x1)))*.
% 299.87/300.58  66069[0:SpR:936.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z))),x1),hAPP(hAPP(y,x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,z),x1))))*.
% 299.87/300.58  65945[0:SpR:941.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y))),z),x1),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,y),x1)),hAPP(z,x1)))*.
% 299.87/300.58  65946[0:SpR:941.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z))),x1),hAPP(hAPP(y,x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,z),x1))))*.
% 299.87/300.58  73212[0:SSi:73211.0,206.1,196.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)),x))),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)),x))**.
% 299.87/300.58  66527[0:Res:835.2,920.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),x)),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w)))* -> .
% 299.87/300.58  75147[0:SpL:816.1,989.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),v)).
% 299.87/300.58  73972[0:Res:891.2,987.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v))*.
% 299.87/300.58  74333[0:Res:893.2,986.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.58  73665[0:SpR:816.1,988.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))*.
% 299.87/300.58  75165[0:SpL:816.1,989.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.58  73683[0:SpR:816.1,988.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  76021[0:Res:891.2,969.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.58  76044[0:Res:893.2,969.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  64113[0:Res:932.2,879.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  63653[0:Res:934.2,879.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  75264[0:SpL:816.1,973.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),v)).
% 299.87/300.58  74132[0:Res:866.2,971.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v))*.
% 299.87/300.58  75282[0:SpL:816.1,973.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.58  73789[0:SpR:816.1,972.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  73771[0:SpR:816.1,972.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))*.
% 299.87/300.58  74501[0:Res:864.2,970.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))*.
% 299.87/300.58  70078[0:SpR:1686.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z)))))*.
% 299.87/300.58  70169[0:Rew:1686.1,70132.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  70166[0:Rew:1686.1,70140.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  72583[0:SpR:1659.1,853.3] class_Rings_Oring(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),v)))*.
% 299.87/300.58  71062[0:SpR:1660.1,853.3] class_Rings_Oring(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),v)))*.
% 299.87/300.58  71056[0:SpR:1660.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z)))))*.
% 299.87/300.58  72605[0:SpR:816.1,1659.1] class_Groups_Oab__group__add(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)))**.
% 299.87/300.58  71170[0:Rew:1660.1,71118.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71167[0:Rew:1660.1,71126.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71085[0:SpR:816.1,1660.1] class_Groups_Oab__group__add(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),x))**.
% 299.87/300.58  73066[0:SpR:1661.1,813.1] class_Rings_Oring(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))**.
% 299.87/300.58  73067[0:SpR:1661.1,815.1] class_Rings_Oring(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))**.
% 299.87/300.58  64869[0:Res:937.2,464.1] class_Rings_Ocomm__ring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))*.
% 299.87/300.58  1395[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x)) equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  1394[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.58  74998[0:SpL:816.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.58  73577[0:SpR:816.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))*.
% 299.87/300.58  73595[0:SpR:816.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  74980[0:SpL:816.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),v)).
% 299.87/300.58  70638[0:Rew:1685.1,70579.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))),w)))*.
% 299.87/300.58  70635[0:Rew:1685.1,70587.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))),w)))*.
% 299.87/300.58  70525[0:SpR:1685.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ominus__class_Ominus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),z)))*.
% 299.87/300.58  70550[0:SpR:816.1,1685.1] class_Groups_Oab__group__add(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)),v))**.
% 299.87/300.58  72858[0:SpR:999.1,853.3] class_RealVector_Oreal__normed__algebra(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) c_Polynomial_Opos__poly(u,w) -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),v)))*.
% 299.87/300.58  71332[0:SpR:997.1,853.3] class_RealVector_Oreal__normed__algebra(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),v)))*.
% 299.87/300.58  72881[0:SpR:816.1,999.1] class_Groups_Oab__group__add(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),w)))**.
% 299.87/300.58  71326[0:SpR:997.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z)))))*.
% 299.87/300.58  71356[0:SpR:816.1,997.1] class_Groups_Oab__group__add(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),x))**.
% 299.87/300.58  71452[0:Rew:997.1,71389.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71449[0:Rew:997.1,71397.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  72235[0:SpR:956.1,854.3] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v)) c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),w)) -> c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 299.87/300.58  72055[0:SpR:957.1,853.3] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v)) c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),w)) -> c_Polynomial_Opos__poly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.58  72277[0:SpL:956.1,464.1] class_Rings_Oring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,w)))))*.
% 299.87/300.58  72454[0:SpL:955.1,464.1] class_Rings_Oring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,w)))))*.
% 299.87/300.58  72098[0:SpL:957.1,464.1] class_Rings_Oring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,w)))))*.
% 299.87/300.58  55742[0:Rew:837.1,55689.3] class_Rings_Oring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),x)))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w))))))*.
% 299.87/300.58  23821[0:SpL:558.2,441.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf34(hAPP(c_Groups_Oplus__class_Oplus(u),v))),v)** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v))*.
% 299.87/300.58  23616[0:SpL:597.2,441.0] class_Groups_Ogroup__add(u) || equal(skf35(hAPP(c_Groups_Ominus__class_Ominus(u),v)),v) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf34(hAPP(c_Groups_Ominus__class_Ominus(u),v))),c_Groups_Ozero__class_Ozero(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),v))*.
% 299.87/300.58  23486[0:SpL:598.2,441.0] class_Groups_Oab__group__add(u) || equal(skf35(hAPP(c_Groups_Ominus__class_Ominus(u),v)),v) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),skf34(hAPP(c_Groups_Ominus__class_Ominus(u),v))),c_Groups_Ozero__class_Ozero(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),v))*.
% 299.87/300.58  57682[0:SpL:902.2,12641.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Int_Onat,w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* equal(w,skf48(c_fequal(x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),x))*.
% 299.87/300.58  70641[0:Rew:1685.1,70574.3] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),w)))* equal(v,skf48(c_fequal(x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),w)))*.
% 299.87/300.58  71456[0:Rew:999.1,71331.3] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 299.87/300.58  1717[0:Rew:219.0,1486.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* -> equal(v,w) equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)).
% 299.87/300.58  58456[0:Res:659.1,870.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),c_Groups_Oone__class_Oone(tc_fun(u,v))),c_Groups_Oone__class_Oone(tc_fun(u,v)))))*.
% 299.87/300.58  77009[0:SpR:602.0,963.2] || SkP2(hAPP(c_COMBB(u,v,w),x),y,z)* SkP1(hAPP(c_COMBB(u,v,w),x),y,z) -> hBOOL(hAPP(x,hAPP(y,z))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.58  77004[0:SpR:691.1,963.2] class_Groups_Ouminus(u) || SkP2(c_Groups_Ouminus__class_Ouminus(tc_fun(v,u)),w,x)* SkP1(c_Groups_Ouminus__class_Ouminus(tc_fun(v,u)),w,x) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.58  76734[0:SpR:394.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  76659[0:SpR:410.1,963.2] class_Groups_Ozero(u) || SkP2(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)* SkP1(c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76662[0:SpR:396.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)* SkP1(c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76768[0:SpR:405.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76769[0:SpR:407.1,963.2] class_Rings_Omult__zero(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  66526[0:Res:847.2,920.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),x)),c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),w)))* -> .
% 299.87/300.58  61546[0:Res:579.1,3765.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),v),c_Int_Onat__aux(skf48(c_fequal(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  73608[0:Res:991.2,632.0] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)).
% 299.87/300.58  62410[0:SpR:21745.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))),u),hAPP(hAPP(z,u),hAPP(c_Nat_OSuc,skf44(u,v))))*.
% 299.87/300.58  62409[0:SpR:21745.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))),z),u),hAPP(hAPP(c_Nat_OSuc,skf44(u,v)),hAPP(z,u)))*.
% 299.87/300.58  80265[0:SpR:3724.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x))))*.
% 299.87/300.58  68910[0:Rew:3724.0,68873.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.58  80300[0:SpR:3724.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  68785[0:SpR:3724.0,3709.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))**.
% 299.87/300.58  69536[0:SpL:616.2,3665.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* hBOOL(y) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),z))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,v)),z))*.
% 299.87/300.58  80270[0:SpR:955.1,1017.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))))*.
% 299.87/300.58  69537[0:SpL:617.2,3665.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,y)),x))*.
% 299.87/300.58  80435[0:SpR:955.1,1016.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)),u)))*.
% 299.87/300.58  80305[0:SpR:955.1,1017.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))))*.
% 299.87/300.58  80400[0:SpR:955.1,1016.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)),v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),u))))*.
% 299.87/300.58  78902[0:SpR:957.1,1059.0] class_Rings_Oring__1(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w))**.
% 299.87/300.58  79888[0:SpR:957.1,1028.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.58  80688[0:SpL:957.1,1032.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),w)).
% 299.87/300.58  80047[0:SpR:957.1,1026.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)),u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v))))*.
% 299.87/300.58  80042[0:SpR:999.1,1026.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  80043[0:SpR:1659.1,1026.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  80129[0:Rew:997.1,80086.2] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  80128[0:Rew:1660.1,80087.2] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.58  80084[0:SpR:999.1,1026.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.58  80085[0:SpR:1659.1,1026.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.58  79930[0:SpR:957.1,1028.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))))*.
% 299.87/300.58  79927[0:SpR:997.1,1028.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  79928[0:SpR:1660.1,1028.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  79964[0:Rew:999.1,79925.2] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  79963[0:Rew:1659.1,79926.2] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  79885[0:SpR:997.1,1028.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  79886[0:SpR:1660.1,1028.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 299.87/300.58  80089[0:SpR:957.1,1026.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)),v)))*.
% 299.87/300.58  80646[0:SpL:957.1,1032.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))).
% 299.87/300.58  80641[0:SpL:999.1,1032.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w))).
% 299.87/300.58  80642[0:SpL:1659.1,1032.0] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w))).
% 299.87/300.58  80740[0:Rew:997.1,80685.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  80739[0:Rew:1660.1,80686.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  80683[0:SpL:999.1,1032.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),w)).
% 299.87/300.58  80684[0:SpL:1659.1,1032.0] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),w)).
% 299.87/300.58  1388[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)).
% 299.87/300.58  46850[0:SpL:3703.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u)).
% 299.87/300.58  21756[0:Rew:21719.1,21222.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),skf44(u,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u)).
% 299.87/300.58  46851[0:SpL:3704.0,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v)).
% 299.87/300.58  21755[0:Rew:21719.1,21223.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),skf44(u,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v)).
% 299.87/300.58  46192[0:SpR:12953.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(x)))),y),skf48(c_fequal(z))),hAPP(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),z))),hAPP(y,skf48(c_fequal(z)))))*.
% 299.87/300.58  46193[0:SpR:12953.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(y)))),skf48(c_fequal(z))),hAPP(hAPP(x,skf48(c_fequal(z))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z)))))*.
% 299.87/300.58  1396[0:Inp] class_Rings_Olinordered__ring__strict(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.58  43682[0:SpR:551.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_COMBC(v,w,x,y),z),x1,hAPP(hAPP(y,x2),z)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_COMBC(v,w,x,y),z),hAPP(c_Nat_OSuc,x1),x2))**.
% 299.87/300.58  55584[0:Rew:852.1,55535.3] class_Rings_Osemiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),x)))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w))))))*.
% 299.87/300.58  71936[0:SpL:959.1,464.1] class_Rings_Osemiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)))))*.
% 299.87/300.58  43663[0:SpR:505.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  43664[0:SpR:506.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  50309[0:SpR:745.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w,c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Nat_OSuc,w),c_Polynomial_Omonom(u,x,y)))**.
% 299.87/300.58  43610[0:SpR:685.2,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),hAPP(c_Nat_OSuc,x),y),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.58  71913[0:SpR:959.1,853.3] class_Rings_Osemiring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),v)) c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),w)) -> c_Polynomial_Opos__poly(u,c_Nat_Osemiring__1__class_Oof__nat(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.58  60136[0:Rew:739.1,59973.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(skf48(c_fequal(x)),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w),c_Int_Onat__aux(skf48(c_fequal(y)),x)))*.
% 299.87/300.58  76785[0:SpR:1637.1,963.2] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v,w)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v,w) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  77415[0:Res:939.2,1898.2] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))* -> .
% 299.87/300.58  77402[0:SpL:742.0,1898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(u,v)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(u,v))) hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),u),v))* -> .
% 299.87/300.58  76730[0:SpR:362.1,963.2] class_Groups_Ocomm__monoid__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),w)).
% 299.87/300.58  76727[0:SpR:372.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)* SkP1(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.58  76729[0:SpR:361.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),w)).
% 299.87/300.58  76779[0:SpR:413.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v,w)* SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u)),v,w) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76733[0:SpR:353.1,963.2] class_Groups_Omonoid__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  76663[0:SpR:408.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w)* SkP1(c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  76726[0:SpR:369.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)* SkP1(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.58  76728[0:SpR:364.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),w)).
% 299.87/300.58  76731[0:SpR:350.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  76767[0:SpR:406.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  57427[0:SpL:1672.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)))))*.
% 299.87/300.58  57433[0:SpL:1672.1,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w))) equal(v,skf48(c_fequal(x))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Int_Onat,v),w)),x))*.
% 299.87/300.58  76732[0:SpR:352.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.58  78351[0:SSi:78192.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.58  69584[0:SpL:609.2,3665.0] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x))*.
% 299.87/300.58  70167[0:Rew:1686.1,70137.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf47(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71450[0:Rew:997.1,71394.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf47(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71168[0:Rew:1660.1,71123.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf47(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  70636[0:Rew:1685.1,70584.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))),w)))*.
% 299.87/300.58  70171[0:Rew:1686.1,70130.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf57(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71454[0:Rew:997.1,71387.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf57(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71172[0:Rew:1660.1,71116.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf57(w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  70640[0:Rew:1685.1,70577.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))),w)))*.
% 299.87/300.58  69684[0:Res:788.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),x))*.
% 299.87/300.58  70637[0:Rew:1685.1,70580.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v)))*.
% 299.87/300.58  70168[0:Rew:1686.1,70133.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71451[0:Rew:997.1,71390.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71169[0:Rew:1660.1,71119.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  68726[0:Rew:3749.0,68699.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf57(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),skf48(c_fequal(w))))*.
% 299.87/300.58  52355[0:Res:871.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))* -> equal(skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),skf48(c_fequal(v))))*.
% 299.87/300.58  76781[0:SpR:490.1,963.2] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.58  43577[0:SpR:618.2,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  69521[0:SpL:618.2,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),x))*.
% 299.87/300.58  69589[0:SpL:683.2,3665.0] class_Power_Opower(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),y),x))*.
% 299.87/300.58  19454[0:SpL:593.1,441.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)))) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u))*.
% 299.87/300.58  76753[0:SpR:9504.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(u),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf64(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.58  53214[0:Res:12638.1,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Int_Onat,v)),w))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w))*.
% 299.87/300.58  47673[0:Rew:602.0,47561.2,602.0,47561.0] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(u,hAPP(v,skf62(hAPP(hAPP(c_COMBB(w,x,y),u),v),z))))* -> hBOOL(hAPP(u,hAPP(v,hAPP(c_Int_Onat,x1))))*.
% 299.87/300.58  55346[0:Res:866.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  47677[0:Rew:687.1,47551.3,687.1,47551.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.58  41297[0:SpR:448.2,1649.2] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Nat_OSuc,skf55(v,c_Groups_Ouminus__class_Ouminus(u))),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Nat_OSuc,skf55(v,c_Groups_Ouminus__class_Ouminus(u))))*.
% 299.87/300.58  55257[0:Res:891.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  48175[0:SpR:609.2,12638.1] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))),v)**.
% 299.87/300.58  48318[0:Rew:741.1,48160.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,v))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))),v)**.
% 299.87/300.58  63199[0:Res:922.2,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* SkP0(v,u) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,v),w)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.58  48130[0:SpR:686.1,12638.1] class_Rings_Oidom(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(c_Polynomial_Oorder(u,hAPP(c_Int_Onat,w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,v),w))),w)**.
% 299.87/300.58  77724[0:SpL:742.0,1012.0] || equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(x,y)),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(x,y),y).
% 299.87/300.58  78914[0:SpL:1059.0,620.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.58  48191[0:SpR:689.2,12638.1] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,x)))* equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,v),x))),x)**.
% 299.87/300.58  72112[0:SpL:957.1,924.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)))* -> equal(v,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)) equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  72113[0:SpL:957.1,925.0] class_Rings_Oring__1(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))* -> equal(u,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)) equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.58  73382[0:Res:954.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),x)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  73536[0:Res:952.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),x)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  66890[0:MRR:66769.2,66851.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.58  66887[0:MRR:66827.2,66851.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.87/300.58  66793[0:SpR:2543.1,1640.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 299.87/300.58  66825[0:SpL:2543.1,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.87/300.58  66826[0:SpL:2543.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),skf48(c_fequal(w)))* -> hBOOL(hAPP(v,w))*.
% 299.87/300.58  66831[0:SpL:2543.1,642.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))*.
% 299.87/300.58  66838[0:SpL:2543.1,1641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))*.
% 299.87/300.58  76027[0:Res:831.2,969.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  51459[0:Rew:687.1,51345.3] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v))*.
% 299.87/300.58  51403[0:Res:1630.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(c_fequal(skf58(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v))*.
% 299.87/300.58  66522[0:Res:831.2,920.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))* -> .
% 299.87/300.58  51321[0:SpL:597.2,12635.0] class_Groups_Ogroup__add(u) || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(u),v)))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.58  51322[0:SpL:598.2,12635.0] class_Groups_Oab__group__add(u) || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(u),v)))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))*.
% 299.87/300.58  51352[0:SpL:558.2,12635.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Oplus__class_Oplus(u),v)))),c_Groups_Ozero__class_Ozero(u))** hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.58  53372[0:Res:12637.0,12726.0] || equal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** equal(hAPP(c_Int_Onat,u),skf48(c_fequal(v)))*.
% 299.87/300.58  77015[0:Res:963.2,964.1] || SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,v) SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.58  78259[0:SpL:1078.0,965.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(w,c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.58  77592[0:SpL:742.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(u,v)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(u,v))) hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Rings_Odvd__class_Odvd(tc_Int_Oint)),u),v))* -> .
% 299.87/300.58  65706[0:Res:12637.0,938.1] class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(c_Int_Onat,v))).
% 299.87/300.58  56620[0:SpR:808.2,844.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  56539[0:SpR:808.2,847.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.58  56200[0:SpL:808.2,843.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w)).
% 299.87/300.58  56106[0:SpL:808.2,848.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w)).
% 299.87/300.58  55585[0:Rew:837.1,55531.3] class_Rings_Oring__1(u) class_Rings_Osemiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,v)),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))**.
% 299.87/300.58  53720[0:SpL:808.2,1915.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v))).
% 299.87/300.58  53642[0:SpR:808.2,1914.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.58  53282[0:SpR:615.2,12637.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(u)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.58  53328[0:SpR:744.2,12637.0] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_Osmult(u),w),v))),v)**.
% 299.87/300.58  53332[0:SpR:752.2,12637.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),v)**.
% 299.87/300.58  53335[0:SpR:613.2,12637.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.58  76029[0:Res:829.2,969.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Int_Oring__1__class_Oof__int(u,v))).
% 299.87/300.58  66530[0:Res:12637.0,920.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),hAPP(c_Int_Onat,w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),x),w))),w).
% 299.87/300.58  56612[0:SpR:808.2,844.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  56531[0:SpR:808.2,847.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.58  56192[0:SpL:808.2,843.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))).
% 299.87/300.58  56098[0:SpL:808.2,848.1] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,w))).
% 299.87/300.58  53330[0:SpR:748.2,12637.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),w)**.
% 299.87/300.58  52527[0:Rew:687.1,52436.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.58  52475[0:Res:12782.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  52482[0:Res:1630.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  66524[0:Res:829.2,920.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w)))* -> .
% 299.87/300.58  70639[0:Rew:1685.1,70578.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v)))*.
% 299.87/300.58  70170[0:Rew:1686.1,70131.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf60(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  52412[0:SpL:597.2,839.0] class_Groups_Ogroup__add(u) || equal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  52413[0:SpL:598.2,839.0] class_Groups_Oab__group__add(u) || equal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  52443[0:SpL:558.2,839.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.58  71453[0:Rew:997.1,71388.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  71171[0:Rew:1660.1,71117.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 299.87/300.58  68921[0:Rew:3654.0,68811.1,3614.0,68811.0,2525.0,68811.0,3724.0,68811.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(w,v))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))),w)**.
% 299.87/300.58  168454[0:Rew:1659.1,168405.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.58  168455[0:Rew:999.1,168404.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.58  168401[0:SpL:957.1,1031.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),w)).
% 299.87/300.58  168400[0:SpL:1660.1,1031.0] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),w)).
% 299.87/300.58  168399[0:SpL:997.1,1031.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),w)).
% 299.87/300.58  168360[0:SpL:957.1,1031.0] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w))).
% 299.87/300.58  168359[0:SpL:1660.1,1031.0] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w))).
% 299.87/300.58  168358[0:SpL:997.1,1031.0] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w))).
% 299.87/300.58  169972[0:SpR:10145.1,687.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf50(u))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),u))**.
% 299.87/300.58  170239[0:SSi:170229.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u)))*.
% 299.87/300.58  170240[0:SSi:170227.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))*.
% 299.87/300.58  170402[0:Res:5870.1,1007.1] || equal(skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  170397[0:Res:5871.1,1007.1] || equal(skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  170396[0:Res:63058.1,1007.1] || SkP0(skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  170500[0:MRR:170287.2,108642.2] class_Rings_Ocomm__semiring__1(u) || equal(skf68(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.58  170790[0:Res:5870.1,1010.1] || equal(skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  170785[0:Res:5871.1,1010.1] || equal(skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  170784[0:Res:63058.1,1010.1] || SkP0(skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  170890[0:MRR:170675.2,108642.2] class_Rings_Ocomm__semiring__1(u) || equal(skf67(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.58  171000[0:Res:1085.2,384.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))))*.
% 299.87/300.58  171019[0:Rew:1685.1,170962.3] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  170961[0:SpR:815.1,1085.2] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171020[0:Rew:1686.1,170960.3] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171125[0:Res:1036.2,384.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))))*.
% 299.87/300.58  171134[0:Rew:1685.1,171083.3] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171082[0:SpR:815.1,1036.2] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171135[0:Rew:1686.1,171081.3] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171246[0:Res:1038.2,384.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),hAPP(c_Int_Onat,skf48(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))))*.
% 299.87/300.58  171251[0:Rew:1685.1,171204.3] class_Groups_Ogroup__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171203[0:SpR:815.1,1038.2] class_Rings_Ocomm__ring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171252[0:Rew:1686.1,171202.3] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.58  171442[0:Rew:1685.1,171381.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171380[0:SpL:815.1,1086.1] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171443[0:Rew:1686.1,171379.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171551[0:Rew:1685.1,171493.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171492[0:SpL:815.1,1037.1] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171552[0:Rew:1686.1,171491.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171661[0:Rew:1685.1,171611.2] class_Groups_Ogroup__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171610[0:SpL:815.1,1039.1] class_Rings_Ocomm__ring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  171662[0:Rew:1686.1,171609.2] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  172280[0:Rew:994.1,172231.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))**.
% 299.87/300.58  172316[0:SpR:590.1,1683.1] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))))**.
% 299.87/300.58  172342[0:Obv:172318.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))**.
% 299.87/300.58  172437[0:SpR:1064.1,687.1] class_Power_Opower(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.58  172415[0:SpR:1064.1,853.3] class_Power_Opower(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)) c_Polynomial_Opos__poly(u,v) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.58  172641[0:SpR:1689.1,687.1] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Nat_OSuc,v)))**.
% 299.87/300.58  172619[0:SpR:1689.1,853.3] class_Groups_Omonoid__mult(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)) c_Polynomial_Opos__poly(u,v) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.58  173200[0:SpL:1091.1,12538.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf48(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)))))*.
% 299.87/300.58  173199[0:SpL:1091.1,16218.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf47(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)))))*.
% 299.87/300.58  173198[0:SpL:1091.1,12380.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf57(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)))))*.
% 299.87/300.58  173197[0:SpL:1091.1,12183.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)),skf60(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)))))*.
% 299.87/300.58  173302[0:Rew:1190.1,173098.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.58  173088[0:SpR:1091.1,1004.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w)),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),w))*.
% 299.87/300.58  173303[0:Rew:1685.1,173063.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.58  173062[0:SpR:1091.1,815.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.58  173304[0:Rew:1686.1,173061.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.58  173060[0:SpR:1091.1,746.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))**.
% 299.87/300.58  173616[0:Rew:1685.1,173575.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  173574[0:SpL:815.1,1084.1] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  173617[0:Rew:1686.1,173573.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  173824[0:Rew:1685.1,173765.3] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))*.
% 299.87/300.58  173764[0:SpR:815.1,1083.2] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)))*.
% 299.87/300.58  173825[0:Rew:1686.1,173763.3] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))*.
% 299.87/300.58  174106[0:Rew:1685.1,174041.2] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  174040[0:SpL:815.1,1041.1] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  174107[0:Rew:1686.1,174039.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.58  174274[0:Rew:1685.1,174193.3] class_Groups_Ogroup__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))*.
% 299.87/300.58  174192[0:SpR:815.1,1040.2] class_Rings_Ocomm__ring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v)))*.
% 299.87/300.58  174275[0:Rew:1686.1,174191.3] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))))*.
% 299.87/300.58  174530[0:Res:536.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.58  174407[0:SpL:503.2,1006.0] class_Groups_Ogroup__add(u) || equal(skf68(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.58  174586[0:Rew:550.1,174438.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.58  174860[0:Res:536.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.58  174736[0:SpL:503.2,1009.0] class_Groups_Ogroup__add(u) || equal(skf67(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.58  174916[0:Rew:550.1,174767.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.58  175045[0:SpR:1660.1,1087.2] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))*.
% 299.87/300.58  175044[0:SpR:997.1,1087.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))*.
% 299.87/300.58  175108[0:SSi:175087.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.58  175109[0:SSi:175085.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.58  175240[0:SpR:174966.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),skf64(u),v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),skf64(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.58  175304[0:SpR:1659.1,1088.2] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))))*.
% 299.87/300.58  175303[0:SpR:999.1,1088.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w))))*.
% 299.87/300.58  175357[0:SSi:175338.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))*.
% 299.87/300.58  175358[0:SSi:175336.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.58  175556[0:SpL:1660.1,1089.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x)).
% 299.87/300.58  175555[0:SpL:997.1,1089.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x)).
% 299.87/300.58  175654[0:SpR:175499.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat),u)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Nat_Onat),u) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)).
% 299.87/300.58  175685[0:SpR:175495.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf64(u),v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf64(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.58  175846[0:SpL:1659.1,1090.1] class_Rings_Oring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 299.87/300.58  175845[0:SpL:999.1,1090.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 299.87/300.58  176377[0:Res:536.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x,y)))*.
% 299.87/300.58  176341[0:Res:290.1,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 299.87/300.58  176280[0:SpL:742.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),x1))* -> hBOOL(hAPP(hAPP(y,x1),skf41(hAPP(y,x1),x2,x3)))*.
% 299.87/300.58  176260[0:SpL:414.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),skf41(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),y,z)))*.
% 299.87/300.58  176258[0:SpL:418.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),y,z)))*.
% 299.87/300.58  176174[0:SpL:503.2,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf41(c_Groups_Ouminus__class_Ouminus(u),y,z)))*.
% 299.87/300.58  176463[0:Rew:550.1,176210.4] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),y,z)))*.
% 299.87/300.58  176666[0:Res:952.2,1051.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x))*.
% 299.87/300.58  176607[0:Res:972.2,1051.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.58  176961[0:Res:954.2,1043.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x))*.
% 299.87/300.58  176878[0:Res:988.2,1043.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.58  176877[0:Res:991.2,1043.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.58  176259[0:SpL:412.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),y,z)))*.
% 299.87/300.58  176047[2:Res:146401.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  175954[2:Res:64525.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  175772[2:Res:64591.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  176045[2:Res:146401.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  175952[2:Res:64525.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  175770[2:Res:64591.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.58  53325[0:SpR:753.0,12637.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))),v).
% 299.87/300.58  53321[0:SpR:1657.0,12637.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))),v).
% 299.87/300.58  177274[0:Res:952.2,1045.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x))*.
% 299.87/300.58  177216[0:Res:972.2,1045.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.58  177527[0:Res:954.2,1063.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x))*.
% 299.87/300.58  177446[0:Res:988.2,1063.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.58  177445[0:Res:991.2,1063.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))*.
% 299.87/300.58  177702[0:Res:952.2,1050.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  177644[0:Res:972.2,1050.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  177973[0:Res:954.2,1062.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  177892[0:Res:988.2,1062.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  177891[0:Res:991.2,1062.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178262[0:Res:952.2,1044.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  178204[0:Res:972.2,1044.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.58  178538[0:Res:954.2,1042.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.58  178457[0:Res:988.2,1042.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  178456[0:Res:991.2,1042.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  179036[0:SpL:1092.2,12538.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(w)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(w)))))*.
% 299.87/300.59  179035[0:SpL:1092.2,16218.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf47(w)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(w)))))*.
% 299.87/300.59  179034[0:SpL:1092.2,4192.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(tc_Int_Oint))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.59  179032[0:SpL:1092.2,4191.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.59  179031[0:SpL:1092.2,12380.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf57(w)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(w)))))*.
% 299.87/300.59  179030[0:SpL:1092.2,12183.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),skf60(w)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(w)))))*.
% 299.87/300.59  178998[0:SpL:1092.2,12538.0] class_Rings_Oidom(u) || equal(skf48(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf48(v)))))*.
% 299.87/300.59  178997[0:SpL:1092.2,16218.0] class_Rings_Oidom(u) || equal(skf47(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf47(v)))))*.
% 299.87/300.59  178996[0:SpL:1092.2,4192.0] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))*.
% 299.87/300.59  178994[0:SpL:1092.2,4191.0] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))*.
% 299.87/300.59  178993[0:SpL:1092.2,12380.0] class_Rings_Oidom(u) || equal(skf57(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf57(v)))))*.
% 299.87/300.59  178992[0:SpL:1092.2,12183.0] class_Rings_Oidom(u) || equal(skf60(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),skf60(v)))))*.
% 299.87/300.59  179908[0:SpL:1075.0,820.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),w),x)))*.
% 299.87/300.59  179876[0:SpL:1075.0,751.1] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)).
% 299.87/300.59  179866[0:SpL:1075.0,743.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.59  179829[0:SpR:9504.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf64(w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),skf64(w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179824[0:SpR:365.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_Osmult(u),c_Groups_Oone__class_Oone(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179822[0:SpR:19349.0,1075.0] ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),u),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179811[0:SpR:6937.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),hAPP(c_Nat_OSuc,w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179810[0:SpR:6936.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),c_Int_Onat__aux(x,w)),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),c_Int_Onat__aux(x,w)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179804[0:SpR:4392.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),w),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179795[0:SpR:414.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)),u),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)),u),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179793[0:SpR:412.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)),u),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v)),u),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179792[0:SpR:418.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)),u),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v)),u),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179763[0:SpR:363.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179762[0:SpR:359.1,1075.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179761[0:SpR:360.1,1075.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Oone__class_Oone(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179755[0:SpR:362.1,1075.0] class_Groups_Ocomm__monoid__mult(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Oone__class_Oone(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179754[0:SpR:361.1,1075.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Oone__class_Oone(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179753[0:SpR:364.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Oone__class_Oone(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179728[0:SpR:351.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179727[0:SpR:354.1,1075.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179726[0:SpR:355.1,1075.0] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(u))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179718[0:SpR:350.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179717[0:SpR:353.1,1075.0] class_Groups_Omonoid__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179716[0:SpR:352.1,1075.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179709[0:SpR:175495.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf64(w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf64(w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179708[0:SpR:175499.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  179707[0:SpR:174966.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),skf64(w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),skf64(w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179691[0:SpR:394.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),v)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),v)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179689[0:SpR:372.1,1075.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179688[0:SpR:369.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179663[0:SpR:356.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179662[0:SpR:371.1,1075.0] class_Lattices_Oboolean__algebra(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179630[15:SpR:76473.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(t_a),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,w))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_cs____,w))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179629[15:SpR:67619.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(t_a),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,w))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,v_cs____,w))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179627[0:SpR:503.2,1075.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),v),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179590[0:SpR:1075.0,744.2] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),x),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))**.
% 299.87/300.59  179584[0:SpR:1075.0,12933.0] ||  -> equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Int_Oint)),skf48(c_fequal(u))),x)))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Int_Oint)),skf48(c_fequal(u))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179562[0:SpR:1075.0,819.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),u),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.59  179555[0:SpR:1075.0,3703.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),x))),c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x))))**.
% 299.87/300.59  179530[0:SpR:1075.0,1661.1] class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y)))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179507[0:SpR:1075.0,752.2] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.59  179499[0:SpR:1075.0,747.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(u)),v),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(u)),v),y))**.
% 299.87/300.59  179498[0:SpR:1075.0,748.2] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),y)),x)** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  179475[0:SpR:1075.0,816.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.59  181475[0:SpL:1098.1,384.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y))))))*.
% 299.87/300.59  181437[8:SpR:49088.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Nat_OSuc),w),skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(w,skf62(c_Int_Onat,skf47(c_Int_Onat)))))*.
% 299.87/300.59  181331[0:SpR:551.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_COMBC(w,x,y,z),x1)),x2),x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(z,x3),x1)),hAPP(x2,x3)))*.
% 299.87/300.59  181319[0:SpR:505.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,x)))**.
% 299.87/300.59  181318[0:SpR:506.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,x)))**.
% 299.87/300.59  181289[0:SpR:550.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(x,y)))*.
% 299.87/300.59  181249[0:SpR:356.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),y))))*.
% 299.87/300.59  181248[0:SpR:371.1,1098.1] class_Lattices_Oboolean__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),y))))*.
% 299.87/300.59  181213[0:SpR:503.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),c_Groups_Ouminus__class_Ouminus(u)),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,w)))**.
% 299.87/300.59  181203[8:SpR:49088.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Nat_OSuc),skf62(c_Int_Onat,skf47(c_Int_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf62(c_Int_Onat,skf47(c_Int_Onat)))),c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 299.87/300.59  181097[0:SpR:551.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_COMBC(x,y,z,x1),x2)),x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x3)),hAPP(hAPP(x1,x3),x2)))*.
% 299.87/300.59  181085[0:SpR:505.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181084[0:SpR:506.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181055[0:SpR:550.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)))*.
% 299.87/300.59  181015[0:SpR:356.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),y))*.
% 299.87/300.59  181014[0:SpR:371.1,1098.1] class_Lattices_Oboolean__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),y))*.
% 299.87/300.59  180979[0:SpR:503.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),c_Groups_Ouminus__class_Ouminus(u)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181510[0:SSi:180946.0,241.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,tc_fun(w,u))),x),y),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(x,z),x1)),hAPP(hAPP(y,z),x1)))*.
% 299.87/300.59  181958[0:SpL:1120.3,12569.0] class_Groups_Ozero(u) || equal(v,skf57(hAPP(c_Polynomial_OpCons(u),w)))* equal(x,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),skf48(c_fequal(y))))*.
% 299.87/300.59  181953[0:SpL:1120.3,383.0] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,skf47(hAPP(c_Polynomial_OpCons(u),w))))* equal(x,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),y))*.
% 299.87/300.59  182030[0:Obv:181876.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* equal(z,w)* equal(x1,y)* -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),x1),z),hAPP(hAPP(c_Polynomial_OpCons(u),x),v))*.
% 299.87/300.59  182382[0:SpL:742.0,1892.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),y),u)),u))* -> equal(hAPP(y,u),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182408[0:SSi:182374.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),w)),u))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182409[0:SSi:182371.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),u))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182779[0:Res:1706.2,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  182794[0:SSi:182773.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  182795[0:SSi:182771.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  182796[0:SSi:182770.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  182797[0:Rew:3654.0,182778.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(skf44(hAPP(c_Int_Onat,u),hAPP(c_Int_Onat,v)),w)* -> equal(hAPP(c_Int_Onat,v),c_Int_Onat__aux(u,w))*.
% 299.87/300.59  182937[0:SSi:182884.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  182938[0:SSi:182883.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  182939[0:SSi:182882.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  182940[0:SSi:182881.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  182942[0:MRR:182876.2,178096.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onat,v))).
% 299.87/300.59  183071[0:Res:12714.2,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf57(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),skf48(c_fequal(v))))*.
% 299.87/300.59  183046[0:Res:12714.2,733.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) equal(hAPP(c_Int_Onat,u),v).
% 299.87/300.59  183120[0:Rew:2526.0,183059.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(w,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.59  183126[0:SSi:183035.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  183127[0:SSi:183034.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  183128[0:SSi:183033.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.59  183129[0:SSi:183032.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v))*.
% 299.87/300.59  183131[0:MRR:183025.2,178096.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),skf48(c_fequal(v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v)).
% 299.87/300.59  183142[0:SpR:179305.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v,w)* SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v,w) -> hBOOL(hAPP(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  183330[0:SpR:1129.1,1925.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))*.
% 299.87/300.59  183426[0:SSi:183338.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w))),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,v,w)),hAPP(c_Int_Onat,u)))**.
% 299.87/300.59  183427[0:SSi:183335.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))*.
% 299.87/300.59  183432[0:SSi:183431.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v))))**.
% 299.87/300.59  183445[0:MRR:183366.1,178096.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),v))**.
% 299.87/300.59  183695[0:SSi:183650.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  183696[0:SSi:183649.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  183697[0:SSi:183648.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  183698[0:SSi:183647.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  184030[0:SSi:183947.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))))*.
% 299.87/300.59  184031[0:SSi:183921.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))*.
% 299.87/300.59  184292[0:SSi:184215.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),w)).
% 299.87/300.59  184293[0:SSi:184189.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),w)).
% 299.87/300.59  184515[0:SpR:742.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(u,v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  184465[0:SpR:742.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(v,w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),w)))*.
% 299.87/300.59  184566[0:SSi:184507.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,v)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))*.
% 299.87/300.59  184567[0:SSi:184504.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.59  184574[0:SSi:184457.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,x,w)),v)))*.
% 299.87/300.59  184575[0:SSi:184454.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))))*.
% 299.87/300.59  184855[0:SpL:742.0,1893.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),z),u))* -> equal(v,hAPP(z,u)).
% 299.87/300.59  184882[0:SSi:184847.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,w)),x))* -> equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),w)).
% 299.87/300.59  184883[0:SSi:184844.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,w)))* -> equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)).
% 299.87/300.59  185035[0:SpL:3709.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.59  184994[0:SpL:3709.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.59  184985[0:SpL:3705.1,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf52(u,v))))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.59  185337[0:SpR:3690.1,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),skf44(u,v))) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(w,skf44(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.59  185514[0:SpR:3709.1,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u))**.
% 299.87/300.59  185505[0:SpR:3705.1,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> equal(c_Int_Onat__aux(skf48(c_fequal(skf44(w,u))),hAPP(c_Nat_OSuc,skf52(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.59  185645[0:SpR:852.1,1131.2] class_Rings_Osemiring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.59  185644[0:SpR:837.1,1131.2] class_Rings_Oring__1(u) class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.59  185694[0:SSi:185646.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))))*.
% 299.87/300.59  185710[0:SpR:742.0,1146.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(w,x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(hAPP(c_COMBS(y,z,x1),c_Polynomial_Osmult(u)),w),x)))*.
% 299.87/300.59  185749[0:SpL:742.0,1147.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Osmult(u)),y),z)),x1))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(y,z)),x1)).
% 299.87/300.59  185969[0:SpL:319.0,3663.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,u,w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf68(hAPP(c_Power_Opower_Opower(v,u,w),x),z,y)),y)**.
% 299.87/300.59  185894[0:SpL:411.1,3663.0] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(u),v),x,w)),w)**.
% 299.87/300.59  185893[0:SpL:409.1,3663.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(u),v),x,w)),w)**.
% 299.87/300.59  186384[0:SpL:319.0,3661.0] || hBOOL(u) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,u,w),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf67(hAPP(c_Power_Opower_Opower(v,u,w),x),z,y)),y)**.
% 299.87/300.59  186309[0:SpL:411.1,3661.0] class_Power_Opower(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(u),v),x,w)),w)**.
% 299.87/300.59  186308[0:SpL:409.1,3661.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(u),v),x,w)),w)**.
% 299.87/300.59  186875[0:SSi:186773.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w))))*.
% 299.87/300.59  186878[0:SSi:186718.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))))*.
% 299.87/300.59  186902[0:SpR:742.0,1124.3] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) equal(hAPP(w,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Polynomial_OpCons(u)),w),v))*.
% 299.87/300.59  186899[0:SpR:878.1,1124.3] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(u)))* equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)))*.
% 299.87/300.59  188026[0:Res:3664.0,1629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  188022[0:Res:3664.0,568.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  187970[0:Res:3664.0,584.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,x),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  187966[0:Res:3664.0,583.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,x),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  187837[0:SpR:742.0,3664.0] ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),z))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)) equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf68(hAPP(x,z),z,y)),y)**.
% 299.87/300.59  188117[0:MRR:187831.4,42009.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.59  188599[0:Res:3662.0,1629.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  188595[0:Res:3662.0,568.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  188543[0:Res:3662.0,584.1] class_Orderings_Oorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,x),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  188539[0:Res:3662.0,583.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,x),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  188410[0:SpR:742.0,3662.0] ||  -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),z))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)) equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf67(hAPP(x,z),z,y)),y)**.
% 299.87/300.59  188690[0:MRR:188404.4,42009.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.59  188810[0:SSi:188795.0,122.1] class_Rings_Oidom(u) || equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,hAPP(c_Polynomial_Opoly(u,w),x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.59  188811[0:Obv:188777.0] class_Int_Oring__char__0(u) class_Rings_Oidom(u) || equal(v,w)* equal(hAPP(c_Polynomial_Opoly(u,v),x),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,x,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.59  189003[0:SpR:742.0,1148.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u))),y),z)),x1),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,z),x1)),hAPP(y,z)))*.
% 299.87/300.59  189056[0:SSi:189007.2,121.1] class_Rings_Oidom(u) class_Int_Oring__char__0(u) || equal(v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x)) -> equal(hAPP(c_Polynomial_Opoly(u,v),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),y)),x))*.
% 299.87/300.59  1410[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  1408[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.59  1411[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  1409[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  1420[0:Inp] class_Groups_Oordered__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),w)))*.
% 299.87/300.59  1407[0:Inp] class_Groups_Oordered__cancel__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),w)))*.
% 299.87/300.59  1406[0:Inp] class_Groups_Oordered__cancel__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),w)))*.
% 299.87/300.59  1414[0:Inp] class_Groups_Oordered__cancel__ab__semigroup__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),w)))*.
% 299.87/300.59  75687[0:Res:835.2,976.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w),y)),hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),x),y)))*.
% 299.87/300.59  50310[0:SpR:745.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),y),c_Polynomial_Omonom(u,z,x1)),hAPP(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),z),x1),hAPP(y,c_Polynomial_Omonom(u,z,x1))))*.
% 299.87/300.59  50311[0:SpR:745.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,z,x1)),hAPP(hAPP(y,c_Polynomial_Omonom(u,z,x1)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),z),x1)))*.
% 299.87/300.59  49273[0:SpR:813.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1)))*.
% 299.87/300.59  49272[0:SpR:813.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),x1),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1))))*.
% 299.87/300.59  1399[0:Inp] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),x)))**.
% 299.87/300.59  1421[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),x)))**.
% 299.87/300.59  1400[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.59  66132[0:Rew:936.1,66085.3] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))))))*.
% 299.87/300.59  66006[0:Rew:941.1,65962.3] class_Rings_Ocomm__ring(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))))))*.
% 299.87/300.59  65958[0:SpR:816.1,941.1] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),w)),x)),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v)),x))**.
% 299.87/300.59  58460[0:Res:866.2,870.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)))*.
% 299.87/300.59  73384[0:Res:954.2,464.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))))*.
% 299.87/300.59  76033[0:Res:835.2,969.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Int_Oring__1__class_Oof__int(u,w)),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 299.87/300.59  58471[0:Res:864.2,870.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)),w))*.
% 299.87/300.59  73538[0:Res:952.2,464.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)))))*.
% 299.87/300.59  75297[0:Res:725.2,973.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.59  75298[0:Res:724.2,973.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.59  74793[0:Res:725.2,951.1] class_Rings_Olinordered__idom(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.59  74794[0:Res:724.2,951.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.59  70087[0:SpR:1686.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),x1),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  70088[0:SpR:1686.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),x1),hAPP(hAPP(y,x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1))))*.
% 299.87/300.59  70176[0:Rew:1686.1,70125.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))*.
% 299.87/300.59  71069[0:SpR:1660.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),x1),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  71070[0:SpR:1660.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),x1),hAPP(hAPP(y,x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))))*.
% 299.87/300.59  71178[0:Rew:1660.1,71111.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))*.
% 299.87/300.59  64852[0:SpR:745.1,937.2] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x))*.
% 299.87/300.59  65682[0:SpL:745.1,938.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),x)).
% 299.87/300.59  65622[0:SpR:745.1,939.2] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))*.
% 299.87/300.59  65739[0:SpL:745.1,940.1] class_Groups_Oab__group__add(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x))).
% 299.87/300.59  48975[0:SpR:815.1,742.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1)))*.
% 299.87/300.59  48974[0:SpR:815.1,742.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),x1),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1))))*.
% 299.87/300.59  70644[0:Rew:1685.1,70572.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))),w)))*.
% 299.87/300.59  49346[0:SpR:814.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1)))*.
% 299.87/300.59  49522[0:SpR:812.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1)))*.
% 299.87/300.59  70535[0:SpR:1685.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),x1),hAPP(hAPP(y,x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),z))))*.
% 299.87/300.59  49345[0:SpR:814.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),x1),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1))))*.
% 299.87/300.59  49521[0:SpR:812.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),x1),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1))))*.
% 299.87/300.59  70534[0:SpR:1685.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),x1),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),y)),hAPP(z,x1)))*.
% 299.87/300.59  71340[0:SpR:997.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),x1),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  71341[0:SpR:997.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),x1),hAPP(hAPP(y,x1),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))))*.
% 299.87/300.59  71460[0:Rew:997.1,71382.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))*.
% 299.87/300.59  79725[0:SpR:1074.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))))*.
% 299.87/300.59  79686[0:SpR:1073.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))))*.
% 299.87/300.59  79688[0:SpR:1074.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x))))*.
% 299.87/300.59  79362[0:Rew:1073.0,79186.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x))))*.
% 299.87/300.59  79723[0:SpR:1073.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))*.
% 299.87/300.59  79467[0:SpR:1074.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w)))*.
% 299.87/300.59  79544[0:Rew:1073.0,79465.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),v))))*.
% 299.87/300.59  79430[0:SpR:1074.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),w))))*.
% 299.87/300.59  69864[0:SpR:713.1,985.1] class_Groups_Ozero(u) class_Groups_Oab__group__add(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBB(u,u,tc_Nat_Onat),c_Groups_Ouminus__class_Ouminus(u)),c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,w)))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),w)))**.
% 299.87/300.59  50013[0:SpL:748.2,492.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf33(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),v)** equal(hAPP(w,skf33(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Oplus__class_Oplus(u),v)).
% 299.87/300.59  49871[0:SpL:752.2,492.0] class_Groups_Ogroup__add(u) || equal(skf33(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) equal(hAPP(w,skf33(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(w,hAPP(c_Groups_Oplus__class_Oplus(u),v)).
% 299.87/300.59  50002[0:SpL:748.2,492.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))),w)** equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(u),w),v).
% 299.87/300.59  49860[0:SpL:752.2,492.0] class_Groups_Ogroup__add(u) || equal(skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(u),w),v).
% 299.87/300.59  76986[0:SpR:742.0,963.2] || SkP2(u,v,hAPP(w,v))* SkP1(u,v,hAPP(w,v)) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(x,y,z),u),w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(w,v)))*.
% 299.87/300.59  76736[0:SpR:401.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  76737[0:SpR:403.1,963.2] class_Rings_Omult__zero(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  76770[0:SpR:442.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  76934[0:SpR:553.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)* SkP1(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)).
% 299.87/300.59  76691[0:SpR:347.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.59  76755[0:SpR:9489.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),c_Groups_Oone__class_Oone(tc_Nat_Onat),v) -> hBOOL(hAPP(skf50(skf64(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)).
% 299.87/300.59  76947[0:SpR:505.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)* SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.59  76948[0:SpR:506.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v)* SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),v) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v))*.
% 299.87/300.59  76903[0:SpR:554.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* SkP1(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  76032[0:Res:847.2,969.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Nat_Osemiring__1__class_Oof__nat(u,w)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.59  75686[0:Res:847.2,976.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),w),y)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,v),x),y)))*.
% 299.87/300.59  59848[0:Res:3760.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(w)),u)).
% 299.87/300.59  61238[0:Res:3763.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(u)),w)).
% 299.87/300.59  1418[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  1419[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** -> equal(v,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  68813[0:SpR:3724.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))),z),x1),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(y)),x1)),hAPP(z,x1)))*.
% 299.87/300.59  68915[0:Rew:3724.0,68869.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  68912[0:Rew:3724.0,68877.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf48(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  68814[0:SpR:3724.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))),x1),hAPP(hAPP(x,x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),c_Int_Onat__aux(skf48(c_fequal(z)),x1))))*.
% 299.87/300.59  62404[0:SpR:21745.1,3761.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(v)),u)),hAPP(c_Nat_OSuc,skf44(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)))**.
% 299.87/300.59  69607[0:SpL:689.2,3665.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(x,c_Int_Onat__aux(skf48(c_fequal(y)),z))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),z))*.
% 299.87/300.59  69671[0:Res:539.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w))*.
% 299.87/300.59  69674[0:Res:540.0,3665.0] || equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),w))*.
% 299.87/300.59  79880[0:SpR:1059.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x))))*.
% 299.87/300.59  79922[0:SpR:1059.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))*.
% 299.87/300.59  80744[0:Rew:1059.0,80680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  80133[0:Rew:1059.0,80081.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))))*.
% 299.87/300.59  56907[0:Res:575.0,21751.0] || equal(skf44(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))),v)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),c_Int_Onat__aux(skf48(c_fequal(v)),u))*.
% 299.87/300.59  30391[0:SpL:609.2,441.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf35(hAPP(c_Groups_Otimes__class_Otimes(u),v)),c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),v))),c_Groups_Ozero__class_Ozero(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v))*.
% 299.87/300.59  48464[0:SpL:744.2,492.0] class_Rings_Oidom(u) || equal(skf33(v,hAPP(c_Polynomial_Osmult(u),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(hAPP(v,skf33(v,hAPP(c_Polynomial_Osmult(u),w))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(hAPP(c_Polynomial_Osmult(u),w),v).
% 299.87/300.59  48475[0:SpL:744.2,492.0] class_Rings_Oidom(u) || equal(skf33(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(hAPP(w,skf33(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(w,hAPP(c_Polynomial_Osmult(u),v)).
% 299.87/300.59  43668[0:SpR:12933.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(v))),w,skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),x)))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(v))),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.59  43650[0:SpR:553.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,w),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.59  48817[0:SpR:746.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,y))**.
% 299.87/300.59  49520[0:SpR:812.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),y)))*.
% 299.87/300.59  49271[0:SpR:813.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),y)))*.
% 299.87/300.59  48973[0:SpR:815.1,739.1] class_Rings_Ocomm__ring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),y)))*.
% 299.87/300.59  49344[0:SpR:814.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),w),x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),y)))*.
% 299.87/300.59  49982[0:SpR:748.2,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),y,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  49840[0:SpR:752.2,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),x),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),x),y,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  43599[0:SpR:617.2,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) ||  -> equal(w,x) equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,w)),hAPP(c_Nat_OSuc,z),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,w)),z,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  43598[0:SpR:616.2,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) || equal(w,x) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,w)),hAPP(c_Nat_OSuc,z),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,w)),z,y))*.
% 299.87/300.59  48453[0:SpR:744.2,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),x),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),x),y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.59  73201[0:Rew:739.1,73073.2] class_Rings_Oring(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(u),w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)))**.
% 299.87/300.59  43635[0:SpR:682.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,w),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  43684[0:SpR:699.2,739.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),hAPP(c_Nat_OSuc,x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),w,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  43681[0:SpR:736.1,739.1] class_Rings_Osemiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(c_Nat_OSuc,w),c_Nat_Osemiring__1__class_Oof__nat(u,x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),w,c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,x))))**.
% 299.87/300.59  48033[0:SpR:12636.1,739.1] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,x),skf48(c_fequal(skf56(v,w)))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x,w))**.
% 299.87/300.59  1882[0:Rew:1878.0,1401.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w)).
% 299.87/300.59  1417[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))**.
% 299.87/300.59  62437[0:SpL:21745.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(c_Int_Onat,u),v))) equal(u,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w))*.
% 299.87/300.59  76735[0:SpR:402.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(u),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  68913[0:Rew:3724.0,68874.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf47(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  76854[8:SpR:49088.0,963.2] || SkP2(c_Nat_OSuc,skf62(c_Int_Onat,skf47(c_Int_Onat)),u) SkP1(c_Nat_OSuc,skf62(c_Int_Onat,skf47(c_Int_Onat)),u) -> hBOOL(hAPP(c_Int_Onat__aux(skf47(c_Int_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf62(c_Int_Onat,skf47(c_Int_Onat))),u))*.
% 299.87/300.59  68917[0:Rew:3724.0,68867.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf57(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  68914[0:Rew:3724.0,68870.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  71459[0:Rew:997.1,71383.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.59  71177[0:Rew:1660.1,71112.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 299.87/300.59  70175[0:Rew:1686.1,70126.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 299.87/300.59  70643[0:Rew:1685.1,70573.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.59  71458[0:Rew:997.1,71386.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf57(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(c_fequal(w)))))*.
% 299.87/300.59  71176[0:Rew:1660.1,71115.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf57(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(c_fequal(w)))))*.
% 299.87/300.59  70174[0:Rew:1686.1,70129.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf57(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(c_fequal(w)))))*.
% 299.87/300.59  70642[0:Rew:1685.1,70576.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(c_fequal(w))),v)))*.
% 299.87/300.59  77032[0:Res:963.2,12569.0] || SkP2(u,v,skf57(hAPP(u,v)))* SkP1(u,v,skf57(hAPP(u,v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf57(hAPP(u,v))))* hBOOL(hAPP(hAPP(u,v),skf48(c_fequal(w))))*.
% 299.87/300.59  43576[0:SpR:690.2,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),x,c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.59  69520[0:SpL:690.2,3665.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),x))*.
% 299.87/300.59  28513[0:SpL:618.2,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf33(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  28511[0:SpL:618.2,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(u))** -> equal(skf33(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v).
% 299.87/300.59  29100[0:SpL:683.2,441.0] class_Power_Opower(u) || equal(skf35(hAPP(c_Power_Opower__class_Opower(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),skf34(hAPP(c_Power_Opower__class_Opower(u),v))),c_Groups_Oone__class_Oone(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Power_Opower__class_Opower(u),v))*.
% 299.87/300.59  76669[0:SpR:1986.0,963.2] || SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))),u))*.
% 299.87/300.59  76696[0:SpR:12132.0,963.2] || SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v) SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u)),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf60(u))),v))*.
% 299.87/300.59  76697[0:SpR:12331.0,963.2] || SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v) SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u)),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf57(u))),v))*.
% 299.87/300.59  76698[0:SpR:12488.0,963.2] || SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v) SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u)),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf48(u))),v))*.
% 299.87/300.59  76699[0:SpR:14019.0,963.2] || SkP2(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v) SkP1(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u)),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),skf47(u))),v))*.
% 299.87/300.59  76750[0:SpR:6937.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,u),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.87/300.59  53215[0:Res:1649.2,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),w)).
% 299.87/300.59  76962[0:SpR:614.1,963.2] class_Groups_Ozero(u) || SkP2(c_Polynomial_OpCons(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* SkP1(c_Polynomial_OpCons(u),v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.59  76849[0:SpR:6936.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,u),w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(v,u),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(v,u)),w)).
% 299.87/300.59  48317[0:Rew:691.1,48189.1] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Int_Onat,w)))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v),w))),w)**.
% 299.87/300.59  41374[0:Res:1649.2,568.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Rings_Odvd__class_Odvd(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.59  41341[0:SpR:558.2,1649.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(w).
% 299.87/300.59  41315[0:SpR:597.2,1649.2] class_Groups_Ogroup__add(u) || equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))),w)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  41316[0:SpR:598.2,1649.2] class_Groups_Oab__group__add(u) || equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Ominus__class_Ominus(u),w))),w)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  48229[0:Res:12638.1,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Int_Onat,w))).
% 299.87/300.59  50326[0:SpL:745.1,735.0] class_Groups_Oab__group__add(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Polynomial_Omonom(u,v,w),x)),c_Polynomial_Omonom(u,v,w)))*.
% 299.87/300.59  41436[0:Rew:741.1,41330.2,741.1,41330.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))))*.
% 299.87/300.59  65635[0:Res:939.2,735.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.59  64127[0:Res:932.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  64259[0:Res:918.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  41697[0:Res:659.1,735.0] class_Rings_Olinordered__semidom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))*.
% 299.87/300.59  49372[0:SpL:814.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.59  49547[0:SpL:812.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.59  49298[0:SpL:813.1,735.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.59  49000[0:SpL:815.1,735.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.59  71462[0:Rew:997.1,71374.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,w) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  71180[0:Rew:1660.1,71103.1] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,w) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  42779[0:SpR:686.1,1649.2] class_Rings_Oidom(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,v),w)) -> equal(c_Polynomial_Oorder(u,hAPP(c_Nat_OSuc,skf55(w,c_Polynomial_Opoly(u,v))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  43295[0:SpR:689.2,1649.2] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),x)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Nat_OSuc,skf55(x,c_Polynomial_Ocoeff(u,w)))))*.
% 299.87/300.59  69533[0:SpL:686.1,3665.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(c_Polynomial_Oorder(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,y),x))*.
% 299.87/300.59  70645[0:Rew:1685.1,70571.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.59  72964[0:Rew:999.1,72902.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> equal(u,w) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  72693[0:Rew:1659.1,72626.1] class_Rings_Oring(tc_Nat_Onat) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> equal(u,w) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  51457[0:Rew:741.1,51335.3] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))*.
% 299.87/300.59  51314[0:SpL:686.1,12635.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(c_Polynomial_Oorder(u,skf48(c_fequal(skf58(c_Polynomial_Opoly(u,w)))),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,w),v))*.
% 299.87/300.59  75681[0:Res:831.2,976.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)),hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w),x)))*.
% 299.87/300.59  51344[0:SpL:609.2,12635.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(u),v)))),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))*.
% 299.87/300.59  51348[0:SpL:683.2,12635.0] class_Power_Opower(u) || equal(skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(u),v)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))*.
% 299.87/300.59  51358[0:SpL:689.2,12635.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,v))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),x))*.
% 299.87/300.59  51214[0:Res:12638.1,12634.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(u,hAPP(c_Int_Onat,v)))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))),v)** hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.59  53403[0:Res:12637.0,824.1] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))),v)** equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Int_Onat,v))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Int_Onat,v)))**.
% 299.87/300.59  77609[0:Res:963.2,1030.2] || SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,v) SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.59  1415[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))**.
% 299.87/300.59  75692[0:Res:12637.0,976.1] class_Orderings_Oord(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_fun(w,u),x),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(x,y)),hAPP(hAPP(c_Int_Onat,v),y)))*.
% 299.87/300.59  74153[0:Res:12637.0,971.1] class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.59  73987[0:Res:12637.0,987.1] class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.59  58902[0:Res:12637.0,879.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,w),v))),v) equal(w,hAPP(c_Int_Onat,v)).
% 299.87/300.59  56961[0:Res:12637.0,21751.0] || equal(skf44(u,hAPP(c_Int_Onat,v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))),v)** equal(hAPP(c_Int_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.59  55138[0:Res:12637.0,865.1] class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v))).
% 299.87/300.59  55059[0:Res:12637.0,894.1] class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v))).
% 299.87/300.59  53343[0:SpR:742.0,12637.0] ||  -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,v)),hAPP(w,hAPP(c_Int_Onat,v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(hAPP(c_COMBS(x,y,z),u),w),v))),v)**.
% 299.87/300.59  68066[0:Res:12637.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,w)),v))*.
% 299.87/300.59  55664[0:SpR:837.1,12637.0] class_Rings_Oring__1(u) ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w))),w)**.
% 299.87/300.59  55520[0:SpR:852.1,12637.0] class_Rings_Osemiring__1(u) ||  -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))),w)**.
% 299.87/300.59  52525[0:Rew:741.1,52426.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52472[0:Res:579.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)))* -> equal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52474[0:Res:585.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)))* -> equal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  75683[0:Res:829.2,976.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w),x)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)))*.
% 299.87/300.59  52405[0:SpL:686.1,839.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf62(c_Polynomial_Opoly(u,v),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52435[0:SpL:609.2,839.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52448[0:SpL:689.2,839.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf62(c_Polynomial_Ocoeff(u,v),x)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  68916[0:Rew:3724.0,68868.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  168910[0:SpL:1059.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x))).
% 299.87/300.59  168907[0:SpL:1059.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),x)).
% 299.87/300.59  169779[0:Res:963.2,1053.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u,v) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),w))*.
% 299.87/300.59  170027[0:SpL:10145.1,929.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),w))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf50(v)),w)*.
% 299.87/300.59  170026[0:SpL:10145.1,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)).
% 299.87/300.59  170024[0:SpL:10145.1,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(w)))).
% 299.87/300.59  170022[0:SpL:10145.1,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v))),w)).
% 299.87/300.59  170021[0:SpL:10145.1,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)))))* -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.59  169982[0:SpR:10145.1,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w)))) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  169981[0:SpR:10145.1,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(w)))))*.
% 299.87/300.59  169976[0:SpR:10145.1,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  169961[0:SpR:10145.1,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v))),w)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.59  170241[0:SSi:170228.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),u)))* -> .
% 299.87/300.59  170242[0:SSi:170225.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u)))* -> .
% 299.87/300.59  170280[0:SpL:503.2,1007.1] class_Groups_Ogroup__add(u) || equal(skf68(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.59  170496[0:Rew:550.1,170311.3,550.1,170311.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.59  170668[0:SpL:503.2,1010.1] class_Groups_Ogroup__add(u) || equal(skf67(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.59  170886[0:Rew:550.1,170699.3,550.1,170699.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.59  170998[0:Res:1085.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  171123[0:Res:1036.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  171244[0:Res:1038.2,735.0] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Groups_Ozero__class_Ozero(u),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  172208[0:SpR:1093.1,936.1] class_Rings_Ocomm__ring(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)))**.
% 299.87/300.59  172573[0:SSi:172498.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))** -> equal(u,v) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  173317[0:Rew:1190.1,173202.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))),c_Groups_Ozero__class_Ozero(u)))* -> .
% 299.87/300.59  173186[0:SpL:1091.1,1037.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  173185[0:SpL:1091.1,1039.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  173184[0:SpL:1091.1,1086.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  173173[0:SpL:1091.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))))*.
% 299.87/300.59  173073[0:SpR:1091.1,1036.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  173072[0:SpR:1091.1,1038.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  173071[0:SpR:1091.1,1085.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  173372[0:SSi:173371.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))*.
% 299.87/300.59  173585[0:SpL:1091.1,1084.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.59  173775[0:SpR:1091.1,1083.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)))*.
% 299.87/300.59  174051[0:SpL:1091.1,1041.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.59  174203[0:SpR:1091.1,1040.2] class_Rings_Ocomm__semiring__1(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)))*.
% 299.87/300.59  174588[0:Rew:551.0,174450.1] || hBOOL(hAPP(hAPP(u,skf68(hAPP(c_COMBC(v,w,x,u),y),z,x1)),y))* -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x2),x3)).
% 299.87/300.59  174918[0:Rew:551.0,174779.1] || hBOOL(hAPP(hAPP(u,skf67(hAPP(c_COMBC(v,w,x,u),y),z,x1)),y))* -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x2),x3)).
% 299.87/300.59  175064[0:SpR:1065.1,1087.2] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.59  175110[0:SSi:175086.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> .
% 299.87/300.59  175111[0:SSi:175083.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> .
% 299.87/300.59  175302[0:SpR:1064.1,1088.2] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.59  175359[0:SSi:175337.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v)))* -> .
% 299.87/300.59  175360[0:SSi:175334.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> .
% 299.87/300.59  175575[0:SpL:1065.1,1089.1] class_Groups_Omonoid__mult(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x)).
% 299.87/300.59  175844[0:SpL:1064.1,1090.1] class_Power_Opower(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x)).
% 299.87/300.59  176465[18:MRR:176262.2,111803.0] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x,y)))*.
% 299.87/300.59  176466[0:Rew:551.0,176230.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),y))* -> hBOOL(hAPP(hAPP(v,skf41(hAPP(c_COMBC(z,x1,x2,v),y),x3,x4)),y))*.
% 299.87/300.59  176668[0:Res:1036.2,1051.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))*.
% 299.87/300.59  176667[0:Res:1038.2,1051.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))*.
% 299.87/300.59  176595[0:Res:1040.2,1051.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  176594[0:Res:1035.2,1051.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)).
% 299.87/300.59  176962[0:Res:1085.2,1043.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))*.
% 299.87/300.59  176881[0:Res:1083.2,1043.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  176880[0:Res:1077.2,1043.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)).
% 299.87/300.59  176879[0:Res:1080.2,1043.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),x)).
% 299.87/300.59  177276[0:Res:1036.2,1045.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))*.
% 299.87/300.59  177275[0:Res:1038.2,1045.1] class_Rings_Olinordered__idom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))*.
% 299.87/300.59  177204[0:Res:1040.2,1045.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  177203[0:Res:1035.2,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)).
% 299.87/300.59  177528[0:Res:1085.2,1063.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))*.
% 299.87/300.59  177449[0:Res:1083.2,1063.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  177448[0:Res:1077.2,1063.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)).
% 299.87/300.59  177447[0:Res:1080.2,1063.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),x)).
% 299.87/300.59  177704[0:Res:1036.2,1050.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  177703[0:Res:1038.2,1050.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  177632[0:Res:1040.2,1050.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.59  177631[0:Res:1035.2,1050.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  177974[0:Res:1085.2,1062.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  177895[0:Res:1083.2,1062.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.59  177894[0:Res:1077.2,1062.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  177893[0:Res:1080.2,1062.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Oone__class_Oone(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  178264[0:Res:1036.2,1044.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  178263[0:Res:1038.2,1044.1] class_Rings_Olinordered__idom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  178192[0:Res:1040.2,1044.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.59  178191[0:Res:1035.2,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  178539[0:Res:1085.2,1042.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  178460[0:Res:1083.2,1042.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 299.87/300.59  178459[0:Res:1077.2,1042.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  178458[0:Res:1080.2,1042.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Oone__class_Oone(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  178999[0:SpL:1092.2,464.1] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),x))))*.
% 299.87/300.59  178961[0:SpL:1092.2,464.1] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))))*.
% 299.87/300.59  179167[0:SpR:1082.1,853.3] class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)) c_Polynomial_Opos__poly(u,x) -> c_Polynomial_Opos__poly(u,hAPP(c_Polynomial_Opoly(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(tc_Polynomial_Opoly(u),x,w)),v))*.
% 299.87/300.59  179421[0:SSi:179420.0,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),x))*.
% 299.87/300.59  179423[0:SSi:179422.0,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))*.
% 299.87/300.59  179928[0:SpL:1075.0,904.1] class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_OpCons(u)),z),hAPP(c_Nat_OSuc,x1)))* -> equal(w,hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_OpCons(u)),z),x1)).
% 299.87/300.59  179919[0:SpL:1075.0,896.1] class_Groups_Ocancel__ab__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Oplus__class_Oplus(u)),v),hAPP(c_Nat_OSuc,z)))* -> equal(w,hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Oplus__class_Oplus(u)),v),z)).
% 299.87/300.59  179918[0:SpL:1075.0,897.1] class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Oplus__class_Oplus(u)),v),hAPP(c_Nat_OSuc,z)))* -> equal(w,hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Oplus__class_Oplus(u)),v),z)).
% 299.87/300.59  179877[0:SpL:1075.0,895.1] class_Groups_Ocancel__semigroup__add(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(u)),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(u)),y),hAPP(c_Nat_OSuc,z)))** -> equal(v,y).
% 299.87/300.59  179825[0:SpR:413.1,1075.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(u))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179823[0:SpR:319.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower_Opower(x,u,y),z)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x1)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower_Opower(x,u,y),z)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x1)))*.
% 299.87/300.59  179814[0:SpR:9489.0,1075.0] ||  -> equal(hAPP(skf50(skf64(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179802[0:SpR:347.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,x)))*.
% 299.87/300.59  179796[0:SpR:1637.1,1075.0] || equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u)),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179791[0:SpR:490.1,1075.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u)),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179758[0:SpR:402.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),x)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),x)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179757[0:SpR:401.1,1075.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),x)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),x)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179756[0:SpR:403.1,1075.0] class_Rings_Omult__zero(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),x)),c_Groups_Ozero__class_Ozero(u)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),x)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179749[0:SpR:458.1,1075.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),u),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x)),u),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179699[0:SpR:407.1,1075.0] class_Rings_Omult__zero(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179698[0:SpR:406.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179697[0:SpR:405.1,1075.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179693[0:SpR:411.1,1075.0] class_Power_Opower(u) ||  -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179692[0:SpR:409.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179690[0:SpR:491.1,1075.0] || equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x)),u),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x)),u),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179650[0:SpR:379.0,1075.0] ||  -> equal(hAPP(hAPP(u,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Nat_Onat_Onat__case(y,z,u)),hAPP(c_Nat_OSuc,v)),x1)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Nat_Onat_Onat__case(y,z,u)),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,x1)))**.
% 299.87/300.59  179634[0:SpR:410.1,1075.0] class_Groups_Ozero(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Ocoeff(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179632[0:SpR:408.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179631[0:SpR:396.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179613[0:SpR:1075.0,602.0] ||  -> equal(hAPP(u,hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_COMBB(y,z,x1),u)),v),x2))),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_COMBB(y,z,x1),u)),v),hAPP(c_Nat_OSuc,x2)))**.
% 299.87/300.59  179609[0:SpR:1075.0,742.0] ||  -> equal(hAPP(hAPP(u,v),hAPP(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_COMBS(y,z,x1)),u),x2),v)),hAPP(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_COMBS(y,z,x1)),u),hAPP(c_Nat_OSuc,x2)),v))**.
% 299.87/300.59  179601[0:SpR:1075.0,691.1] class_Groups_Ouminus(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(tc_fun(y,u))),v),z))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(tc_fun(y,u))),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  180487[0:Res:3720.1,1104.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(skf55(v,w))),x)))* hBOOL(hAPP(w,v)) hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x))) -> hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.59  180859[0:SpL:959.1,1117.1] class_Rings_Osemiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),v)),c_Groups_Oone__class_Oone(u))** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Groups_Oone__class_Oone(u)) equal(c_Nat_Osemiring__1__class_Oof__nat(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.59  180858[0:SpL:957.1,1117.1] class_Rings_Oring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),c_Groups_Oone__class_Oone(u))** -> equal(c_Int_Oring__1__class_Oof__int(u,v),c_Groups_Oone__class_Oone(u)) equal(c_Int_Oring__1__class_Oof__int(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.59  180882[0:Rew:1661.1,180862.2,1660.1,180862.2] class_Rings_Oring(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))*.
% 299.87/300.59  181465[0:SpL:1098.1,951.1] class_Groups_Ominus(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(w,y)),hAPP(x,y)))*.
% 299.87/300.59  181464[0:SpL:1098.1,953.1] class_Groups_Ominus(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y)),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(w,y)),hAPP(x,y)))*.
% 299.87/300.59  181438[0:SpR:602.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(hAPP(c_COMBB(w,x,y),z),x1)),x2),x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(z,hAPP(x1,x3))),hAPP(x2,x3)))*.
% 299.87/300.59  181404[0:SpR:594.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y))),z),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(z,y)))**.
% 299.87/300.59  181374[0:SpR:593.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v)),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(y,w)))**.
% 299.87/300.59  181353[0:SpR:555.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x)),hAPP(y,z)))*.
% 299.87/300.59  181332[0:SpR:553.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(x,y)))**.
% 299.87/300.59  181330[0:SpR:444.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),x)),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.59  181322[0:SpR:558.2,1098.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),y),hAPP(z,w)))**.
% 299.87/300.59  181321[0:SpR:556.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x)),hAPP(y,z)))*.
% 299.87/300.59  181303[0:SpR:595.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),y))),z),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(z,y)))**.
% 299.87/300.59  181273[0:SpR:598.2,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Ominus__class_Ominus(u),w)),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(z,x)))**.
% 299.87/300.59  181272[0:SpR:597.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Ominus__class_Ominus(u),w)),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(z,x)))**.
% 299.87/300.59  181233[0:SpR:449.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.59  181204[0:SpR:602.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(hAPP(c_COMBB(x,y,z),x1),x2)),x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x3)),hAPP(x1,hAPP(x2,x3))))*.
% 299.87/300.59  181170[0:SpR:594.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),y))**.
% 299.87/300.59  181140[0:SpR:593.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.59  181119[0:SpR:555.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),y)))*.
% 299.87/300.59  181098[0:SpR:553.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.59  181096[0:SpR:444.1,1098.1] class_Groups_Ocomm__monoid__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y))**.
% 299.87/300.59  181088[0:SpR:558.2,1098.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),z))**.
% 299.87/300.59  181087[0:SpR:556.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),y)))*.
% 299.87/300.59  181069[0:SpR:595.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),y))**.
% 299.87/300.59  181039[0:SpR:598.2,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Ominus__class_Ominus(u),w)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181038[0:SpR:597.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Ominus__class_Ominus(u),w)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  180999[0:SpR:449.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.59  180950[0:SpR:1098.1,12637.0] class_Groups_Ominus(u) ||  -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Int_Onat),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),x))),x)**.
% 299.87/300.59  180917[0:SpR:1098.1,952.2] class_Groups_Ominus(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(v,w)),hAPP(x,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  180916[0:SpR:1098.1,954.2] class_Groups_Ominus(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(v,w)),hAPP(x,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  180897[0:SpR:1098.1,742.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),z)),x1),x2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(z,hAPP(x1,x2))),hAPP(x2,hAPP(x1,x2))))*.
% 299.87/300.59  181601[0:Rew:941.1,181544.2,1118.1,181544.2] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Polynomial_Opoly(u,w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),x))))**.
% 299.87/300.59  181939[0:SpL:1120.3,961.1] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || equal(v,w)* equal(x,y)* c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),y))* c_Polynomial_Opos__poly(u,w)*.
% 299.87/300.59  182212[0:Obv:182197.0] class_Groups_Ozero(u) || equal(skf40(c_Polynomial_Omonom(u,v,w),x,u),w) equal(hAPP(c_Polynomial_Ocoeff(u,x),skf40(c_Polynomial_Omonom(u,v,w),x,u)),v)** -> equal(x,c_Polynomial_Omonom(u,v,w)).
% 299.87/300.59  182213[0:Obv:182196.0] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(c_Polynomial_Omonom(u,w,x),v,u)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf40(c_Polynomial_Omonom(u,w,x),v,u),x) equal(v,c_Polynomial_Omonom(u,w,x)).
% 299.87/300.59  182214[0:Obv:182183.0] class_Groups_Ozero(u) || equal(skf40(v,c_Polynomial_Omonom(u,w,x),u),x) equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(v,c_Polynomial_Omonom(u,w,x),u)),w)** -> equal(c_Polynomial_Omonom(u,w,x),v).
% 299.87/300.59  182215[0:Obv:182182.0] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(v,c_Polynomial_Omonom(u,w,x),u)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf40(v,c_Polynomial_Omonom(u,w,x),u),x) equal(c_Polynomial_Omonom(u,w,x),v).
% 299.87/300.59  182410[0:SSi:182368.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182581[0:SSi:182538.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,u)))* -> equal(c_Nat_Osemiring__1__class_Oof__nat(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182781[0:Res:1706.2,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,u)))* -> equal(hAPP(c_Int_Onat,v),hAPP(c_Int_Onat,u)).
% 299.87/300.59  182936[0:Rew:2526.0,182896.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w))*.
% 299.87/300.59  182957[0:SpR:179303.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,x))),c_Groups_Oone__class_Oone(tc_Int_Oint)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,x))),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  182956[0:SpR:179303.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),c_Groups_Oone__class_Oone(tc_Int_Oint),w)* SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,u,v)),c_Groups_Oone__class_Oone(tc_Int_Oint),w) -> hBOOL(hAPP(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),w)).
% 299.87/300.59  183074[0:Res:12714.2,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Int_Onat,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),w))*.
% 299.87/300.59  183050[0:Res:12714.2,781.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(c_Nat_OSuc,v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),hAPP(c_Int_Onat,u))) -> equal(hAPP(c_Int_Onat,u),v).
% 299.87/300.59  183123[0:Rew:2526.0,183058.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w))*.
% 299.87/300.59  183143[0:SpR:179305.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),x),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  183416[0:Rew:1129.1,183385.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf46(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.87/300.59  183480[0:SpR:179307.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,x))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,x))),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  183479[0:SpR:179307.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat),w)* SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,u,v)),c_Groups_Oone__class_Oone(tc_Nat_Onat),w) -> hBOOL(hAPP(u,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.59  183671[0:Res:1136.2,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 299.87/300.59  183694[0:Rew:2526.0,183662.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))),w))*.
% 299.87/300.59  184311[0:SpR:179288.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)),v,w)* SkP1(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  184532[0:Res:1139.1,1928.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))*.
% 299.87/300.59  184528[0:Res:1139.1,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),x))*.
% 299.87/300.59  184502[0:SpR:931.1,1139.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 299.87/300.59  184452[0:SpR:931.1,1139.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  184587[0:SpR:179289.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)),v,w)* SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),u)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  184842[0:SpL:931.1,1893.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))* -> equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)).
% 299.87/300.59  185029[0:SpL:3704.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,x)),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)))*.
% 299.87/300.59  185028[0:SpL:3703.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x)))*.
% 299.87/300.59  184988[0:SpL:3704.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x))*.
% 299.87/300.59  184987[0:SpL:3703.0,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)),c_Int_Onat__aux(skf48(c_fequal(u)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x))*.
% 299.87/300.59  185414[0:Rew:47909.0,185273.1,47909.0,185273.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))),v)) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(c_Int_Onat__aux(skf48(c_fequal(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))**.
% 299.87/300.59  185508[0:SpR:3704.0,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v)),u),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.59  185507[0:SpR:3703.0,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))),u),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  185716[0:Res:1146.2,938.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)))*.
% 299.87/300.59  185763[0:Res:939.2,1147.1] class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x))).
% 299.87/300.59  186064[0:Res:40072.0,3663.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v,u)),u)**.
% 299.87/300.59  186030[0:Res:515.2,3663.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.59  186013[0:Res:525.2,3663.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 299.87/300.59  186004[0:Res:525.1,3663.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.59  186180[4:MRR:185951.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.59  186479[0:Res:40072.0,3661.0] ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),v,u)),u)**.
% 299.87/300.59  186445[0:Res:515.2,3661.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.59  186428[0:Res:525.2,3661.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 299.87/300.59  186419[0:Res:525.1,3661.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless__eq(u,v),x,w)),w)**.
% 299.87/300.59  186595[4:MRR:186366.1,8759.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w,v)),v)**.
% 299.87/300.59  186796[0:SpR:742.0,1143.1] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Oplus__class_Oplus(u)),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),y))))*.
% 299.87/300.59  186876[0:Rew:1704.1,186771.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))))*.
% 299.87/300.59  186879[0:Rew:1704.1,186716.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),x))))*.
% 299.87/300.59  187101[0:Res:1144.2,464.1] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))))*.
% 299.87/300.59  187374[0:Res:1145.2,464.1] class_Rings_Oidom(u) class_Orderings_Owellorder(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))))*.
% 299.87/300.59  188005[0:Res:3664.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))*.
% 299.87/300.59  187987[0:Res:3664.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  187984[0:Res:3664.0,653.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)**.
% 299.87/300.59  187983[0:Res:3664.0,655.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)**.
% 299.87/300.59  187973[0:Res:3664.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  187969[0:Res:3664.0,644.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.59  187965[0:Res:3664.0,647.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.59  187964[0:Res:3664.0,648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.59  187919[8:SpR:48262.0,3664.2] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf62(c_Int_Onat,skf47(c_Int_Onat)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf62(c_Int_Onat,skf47(c_Int_Onat)))) equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf68(u,skf62(c_Int_Onat,skf47(c_Int_Onat)),v)),v).
% 299.87/300.59  187892[0:SpR:3664.2,3753.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf68(u,hAPP(c_Nat_OSuc,w),v))),v)**.
% 299.87/300.59  187783[0:SpR:551.0,3664.0] ||  -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_COMBC(y,z,x1,u),x),w,v)),v)**.
% 299.87/300.59  187774[0:SpR:505.1,3664.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)**.
% 299.87/300.59  187773[0:SpR:506.1,3664.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)**.
% 299.87/300.59  187763[0:SpR:550.1,3664.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.59  187721[0:SpR:503.2,3664.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 299.87/300.59  188578[0:Res:3662.0,12783.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(w))),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))*.
% 299.87/300.59  188560[0:Res:3662.0,3740.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  188557[0:Res:3662.0,653.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)**.
% 299.87/300.59  188556[0:Res:3662.0,655.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)**.
% 299.87/300.59  188546[0:Res:3662.0,3730.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),x)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  188542[0:Res:3662.0,644.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.59  188538[0:Res:3662.0,647.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.59  188537[0:Res:3662.0,648.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,x),w,v)),v)**.
% 299.87/300.59  188492[8:SpR:48262.0,3662.2] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),skf62(c_Int_Onat,skf47(c_Int_Onat)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf62(c_Int_Onat,skf47(c_Int_Onat)))) equal(c_Int_Onat__aux(skf47(c_Int_Onat),skf67(u,skf62(c_Int_Onat,skf47(c_Int_Onat)),v)),v).
% 299.87/300.59  188465[0:SpR:3662.2,3753.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Nat_OSuc,w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Nat_OSuc,skf67(u,hAPP(c_Nat_OSuc,w),v))),v)**.
% 299.87/300.59  188356[0:SpR:551.0,3662.0] ||  -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_COMBC(y,z,x1,u),x),w,v)),v)**.
% 299.87/300.59  188347[0:SpR:505.1,3662.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)**.
% 299.87/300.59  188346[0:SpR:506.1,3662.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)**.
% 299.87/300.59  188336[0:SpR:550.1,3662.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.59  188294[0:SpR:503.2,3662.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 299.87/300.59  188813[0:SSi:188794.0,122.1] class_Rings_Oidom(u) || equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),c_Groups_Ozero__class_Ozero(u)) equal(c_Polynomial_Oorder(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.59  1454[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),w)).
% 299.87/300.59  1451[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.59  1464[0:Inp] class_Rings_Oordered__comm__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.59  1442[0:Inp] class_Rings_Olinordered__comm__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.59  1463[0:Inp] class_Rings_Oordered__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.59  1462[0:Inp] class_Rings_Oordered__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.59  1444[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.59  1443[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.59  1438[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.59  1453[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 299.87/300.59  1447[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 299.87/300.59  1461[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)))*.
% 299.87/300.59  1466[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.87/300.59  1465[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.87/300.59  1436[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.87/300.59  1441[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 299.87/300.59  1440[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 299.87/300.59  1435[0:Inp] class_Rings_Olinordered__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.59  1433[0:Inp] class_Rings_Olinordered__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.59  1434[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.59  1432[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.59  1431[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)).
% 299.87/300.59  1430[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)).
% 299.87/300.59  1439[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),x)).
% 299.87/300.59  1448[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),x)).
% 299.87/300.59  1429[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.59  1437[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w)).
% 299.87/300.59  1446[0:Inp] class_Rings_Olinordered__ring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w)).
% 299.87/300.59  66658[0:SpR:947.1,1672.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,c_Polynomial_Omonom(u,hAPP(c_Polynomial_Opoly(u,v),w),x),v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  1467[0:Inp] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,c_Groups_Oone__class_Oone(u),v)),w)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),v)),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 299.87/300.59  48034[0:SpR:12636.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),z),skf48(c_fequal(skf56(u,v)))),hAPP(v,hAPP(z,skf48(c_fequal(skf56(u,v))))))*.
% 299.87/300.59  48035[0:SpR:12636.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf48(c_fequal(skf56(u,v)))),hAPP(hAPP(z,skf48(c_fequal(skf56(u,v)))),v))*.
% 299.87/300.59  66529[0:Res:893.2,920.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)))* -> .
% 299.87/300.59  66516[0:Res:891.2,920.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)),w))* -> .
% 299.87/300.59  75292[0:Res:779.2,973.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.59  75293[0:Res:776.2,973.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v)).
% 299.87/300.59  76030[0:Res:934.2,969.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))).
% 299.87/300.59  76025[0:Res:932.2,969.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  74788[0:Res:779.2,951.1] class_Orderings_Oorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.59  74789[0:Res:776.2,951.1] class_Orderings_Olinorder(u) class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)).
% 299.87/300.59  78714[0:Rew:1073.0,78619.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf49(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  78558[0:SpR:1073.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),y))),z),x1),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  78559[0:SpR:1073.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z))),x1),hAPP(hAPP(x,x1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x1))))*.
% 299.87/300.59  78537[0:SpR:1073.0,12636.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(skf56(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w))))),w)**.
% 299.87/300.59  78712[0:Rew:1073.0,78633.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf46(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.59  78201[0:SpR:1078.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),y))),z),x1),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  78202[0:SpR:1078.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),z))),x1),hAPP(hAPP(x,x1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),z),x1))))*.
% 299.87/300.59  57313[0:SpR:878.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))),c_Polynomial_Omonom(u,z,x1)),hAPP(hAPP(y,c_Polynomial_Omonom(u,z,x1)),c_Polynomial_Omonom(u,z,hAPP(c_Nat_OSuc,x1))))*.
% 299.87/300.59  57312[0:SpR:878.1,742.0] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))),y),c_Polynomial_Omonom(u,z,x1)),hAPP(c_Polynomial_Omonom(u,z,hAPP(c_Nat_OSuc,x1)),hAPP(y,c_Polynomial_Omonom(u,z,x1))))*.
% 299.87/300.59  18974[0:SpL:443.1,492.0] class_Groups_Ocomm__monoid__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),skf33(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v))** -> equal(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  18934[0:SpL:443.1,492.0] class_Groups_Ocomm__monoid__add(u) || equal(hAPP(v,skf33(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),skf33(v,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))** -> equal(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v).
% 299.87/300.59  1468[0:Inp] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)))* -> equal(x,y) equal(w,c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  77010[0:SpR:742.0,963.2] || SkP2(hAPP(c_COMBS(u,v,w),x),y,z)* SkP1(hAPP(c_COMBS(u,v,w),x),y,z) -> hBOOL(hAPP(hAPP(x,z),hAPP(y,z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  76692[0:SpR:379.0,963.2] || SkP2(c_Nat_Onat_Onat__case(u,v,w),hAPP(c_Nat_OSuc,x),y)* SkP1(c_Nat_Onat_Onat__case(u,v,w),hAPP(c_Nat_OSuc,x),y) -> hBOOL(hAPP(hAPP(w,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,x)),y)).
% 299.87/300.59  76808[0:SpR:558.2,963.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x) -> hBOOL(hAPP(w,x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 299.87/300.59  76709[0:SpR:607.2,963.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) SkP2(c_Polynomial_Opoly(u,v),w,x)* SkP1(c_Polynomial_Opoly(u,v),w,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  76723[0:SpR:597.2,963.2] class_Groups_Ogroup__add(u) || equal(v,w) SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  76724[0:SpR:598.2,963.2] class_Groups_Oab__group__add(u) || equal(v,w) SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  1455[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  1456[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  77036[0:Res:963.2,12641.0] || SkP2(u,v,hAPP(c_Int_Onat,w))* SkP1(u,v,hAPP(c_Int_Onat,w)) equal(w,skf48(c_fequal(x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(hAPP(u,v),x))*.
% 299.87/300.59  77016[0:Res:963.2,693.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.59  76771[0:SpR:550.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  76747[0:SpR:3732.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),u,w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),u,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.59  76694[0:SpR:356.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)* SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.59  76695[0:SpR:371.1,963.2] class_Lattices_Oboolean__algebra(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)* SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.59  77025[0:Res:963.2,695.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.59  1426[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)).
% 299.87/300.59  77096[0:Rew:9487.0,76756.3] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),skf50(skf64(u)),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(u)),skf50(skf64(u)),v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.59  1425[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  1460[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)))*.
% 299.87/300.59  62400[0:SpR:21745.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,hAPP(c_Nat_OSuc,v))),v))* -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,skf44(hAPP(u,hAPP(c_Nat_OSuc,v)),v)))*.
% 299.87/300.59  68804[0:SpR:3724.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),c_Int_Onat__aux(skf48(c_fequal(z)),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))))*.
% 299.87/300.59  69630[0:Res:937.2,3665.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y))*.
% 299.87/300.59  69592[0:SpL:748.2,3665.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),y))*.
% 299.87/300.59  68579[0:Rew:3753.0,68569.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) -> equal(hAPP(c_Nat_OSuc,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(c_Nat_OSuc,w))),v))*.
% 299.87/300.59  69669[0:Res:579.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x))*.
% 299.87/300.59  69673[0:Res:585.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),x))*.
% 299.87/300.59  69594[0:SpL:752.2,3665.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y))*.
% 299.87/300.59  69393[0:Res:3738.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* equal(skf44(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),x)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 299.87/300.59  68729[0:Rew:3753.0,68681.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),hAPP(c_Nat_OSuc,v)).
% 299.87/300.59  60827[0:Rew:47909.0,60642.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))),c_Int_Onat__aux(skf48(c_fequal(u)),v))**.
% 299.87/300.59  68690[0:Res:3720.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))* equal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),v),x)* -> equal(v,c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))*.
% 299.87/300.59  77841[0:SpR:1079.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),y))),z),x1),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  78860[0:SpR:1059.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),y))),z),x1),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),x1)),hAPP(z,x1)))*.
% 299.87/300.59  77842[0:SpR:1079.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),z))),x1),hAPP(hAPP(x,x1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),x1))))*.
% 299.87/300.59  78861[0:SpR:1059.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z))),x1),hAPP(hAPP(x,x1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),x1))))*.
% 299.87/300.59  3776[0:Rew:3621.0,3651.0,3621.0,3651.0,3621.0,3651.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),w)),v))),x))**.
% 299.87/300.59  53430[0:Res:12637.1,820.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))))* equal(skf48(c_fequal(skf62(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)).
% 299.87/300.59  78996[0:Rew:1059.0,78937.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  66581[0:SpR:3723.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,z))),c_Nat_Osemiring__1__class_Oof__nat(u,x1)),hAPP(hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,x1)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(z)),x1))))*.
% 299.87/300.59  66580[0:SpR:3723.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,y))),z),c_Nat_Osemiring__1__class_Oof__nat(u,x1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(y)),x1)),hAPP(z,c_Nat_Osemiring__1__class_Oof__nat(u,x1))))*.
% 299.87/300.59  43690[0:SpR:602.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(hAPP(c_COMBB(v,w,x),y),z),x1,hAPP(y,hAPP(z,x2))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(hAPP(c_COMBB(v,w,x),y),z),hAPP(c_Nat_OSuc,x1),x2))**.
% 299.87/300.59  55589[0:Rew:302.1,55522.2,27252.0,55522.2,852.1,55522.2,852.1,55522.1] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))))))*.
% 299.87/300.59  66663[0:SpR:947.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,w),x,hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,w,y)),z)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,w),hAPP(c_Nat_OSuc,x),hAPP(c_Polynomial_Opoly(u,y),z)))**.
% 299.87/300.59  43685[0:SpR:691.1,739.1] class_Groups_Ouminus(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),x),y,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(x,z))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),x),hAPP(c_Nat_OSuc,y),z))**.
% 299.87/300.59  57644[0:SpR:902.2,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) || equal(w,x) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),x),y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 299.87/300.59  62070[0:Rew:62042.1,61999.2] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),v)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x,w))**.
% 299.87/300.59  1424[0:Inp] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.59  59637[0:Res:1901.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf60(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u)),hAPP(c_Nat_OSuc,v))),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf60(u)),hAPP(c_Nat_OSuc,v))))))*.
% 299.87/300.59  60509[0:Res:1901.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf48(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u)),hAPP(c_Nat_OSuc,v))),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf48(u)),hAPP(c_Nat_OSuc,v))))))*.
% 299.87/300.59  68582[0:Rew:3724.0,68581.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w))))),u))*.
% 299.87/300.59  68580[0:Rew:3749.0,68563.2,1878.0,68563.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),u))*.
% 299.87/300.59  77919[0:Rew:1079.0,77870.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf49(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  77917[0:Rew:1079.0,77884.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf46(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.59  76790[0:SpR:555.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  76809[0:SpR:556.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x) SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  76961[0:SpR:565.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* SkP1(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.59  60953[0:Res:1901.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf47(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u)),hAPP(c_Nat_OSuc,v))),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf47(u)),hAPP(c_Nat_OSuc,v))))))*.
% 299.87/300.59  60264[0:Res:1901.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),skf57(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u)),hAPP(c_Nat_OSuc,v))),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf57(u)),hAPP(c_Nat_OSuc,v))))))*.
% 299.87/300.59  58992[0:Res:1901.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,u))),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,u))))))*.
% 299.87/300.59  52353[0:Res:871.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))))* -> equal(hAPP(c_Int_Onat,skf47(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.59  68918[0:Rew:3724.0,68866.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf48(c_fequal(w)))))*.
% 299.87/300.59  76983[0:SpR:890.3,963.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) || SkP2(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),v)* SkP1(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),v) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),v))*.
% 299.87/300.59  56962[0:Res:12638.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(skf44(u,hAPP(c_Int_Onat,v)),w)* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))),v)** equal(hAPP(c_Int_Onat,v),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 299.87/300.59  41429[0:Rew:276.0,41382.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),u).
% 299.87/300.59  65871[0:SpL:931.1,925.0] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))** -> equal(u,v) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  41095[0:SpL:690.2,492.0] class_Rings_Ocomm__semiring__1(u) || equal(skf33(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v)),c_Groups_Oone__class_Oone(u))** -> equal(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  41088[0:SpL:690.2,492.0] class_Rings_Ocomm__semiring__1(u) || equal(skf33(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(v,skf33(v,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Oone__class_Oone(u))** -> equal(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v).
% 299.87/300.59  76754[0:SpR:9503.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),skf64(u),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(u))),skf64(u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf64(u)),v)).
% 299.87/300.59  47585[0:Res:585.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,w)))*.
% 299.87/300.59  45379[0:Res:783.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.59  45318[0:Res:785.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))))*.
% 299.87/300.59  76655[0:SpR:593.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  58903[0:Res:12638.1,879.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,w)),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w))),w) equal(v,hAPP(c_Int_Onat,w)).
% 299.87/300.59  49841[0:SpR:752.2,12638.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Int_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),w),v))),v)**.
% 299.87/300.59  41380[0:Res:1649.2,12783.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))))))))*.
% 299.87/300.59  41338[0:SpR:609.2,1649.2] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Otimes__class_Otimes(u),w))),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  48133[0:SpR:617.2,12638.1] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(w,hAPP(c_Int_Onat,x)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x))),x)**.
% 299.87/300.59  48233[0:Res:12638.1,695.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Int_Onat,v))).
% 299.87/300.59  47674[0:Rew:741.1,47541.3,741.1,47541.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Int_Onat,w)))*.
% 299.87/300.59  68728[0:Rew:3749.0,68688.1] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 299.87/300.59  68362[0:Rew:3749.0,68323.2] class_Groups_Olinordered__ab__group__add(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))*.
% 299.87/300.59  48051[0:SpL:12636.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(skf48(c_fequal(skf56(u,v))),w)),skf48(c_fequal(skf56(u,v)))))*.
% 299.87/300.59  47527[0:SpL:597.2,805.1] class_Groups_Ogroup__add(u) || equal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  47528[0:SpL:598.2,805.1] class_Groups_Oab__group__add(u) || equal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),v)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  49983[0:SpR:748.2,12638.1] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))),w)**.
% 299.87/300.59  47555[0:SpL:558.2,805.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  47580[0:Res:576.2,805.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf62(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  48132[0:SpR:616.2,12638.1] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,w)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(x) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w))),w)**.
% 299.87/300.59  47520[0:SpL:686.1,805.1] class_Rings_Oidom(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf62(c_Polynomial_Opoly(u,v),w),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  47560[0:SpL:689.2,805.1] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf62(c_Polynomial_Ocoeff(u,v),x)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,y)))*.
% 299.87/300.59  48454[0:SpR:744.2,12638.1] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_Osmult(u),w),v))),v)**.
% 299.87/300.59  57329[0:SpL:878.1,735.0] class_Groups_Ozero(u) || hBOOL(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Polynomial_Omonom(u,v,w),x)),c_Polynomial_Omonom(u,v,w)))*.
% 299.87/300.59  58473[0:Res:12638.1,870.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_fun(v,u),w),x))),x) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  59851[0:Res:3760.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 299.87/300.59  61241[0:Res:3763.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Onat__aux(skf48(c_fequal(v)),w),x)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 299.87/300.59  66616[0:SpL:3723.1,735.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,w),x)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.59  77748[0:Rew:955.1,77721.2] class_Rings_Oring__1(tc_Nat_Onat) || equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)).
% 299.87/300.59  73702[0:Res:988.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  73614[0:Res:991.2,735.0] class_Lattices_Oboolean__algebra(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  73819[0:Res:972.2,735.0] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 299.87/300.59  50588[0:Res:874.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.87/300.59  51306[0:SpL:618.2,12635.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))*.
% 299.87/300.59  51394[0:Res:579.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u)))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))*.
% 299.87/300.59  51396[0:Res:585.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,u))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))* -> equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Int_Oint,u)))),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))*.
% 299.87/300.59  51456[0:Rew:691.1,51356.3] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf48(c_fequal(skf58(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,x)))*.
% 299.87/300.59  48221[0:Res:12638.1,12726.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Int_Onat,hAPP(c_Int_Onat,u)),v)* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u))),u)** equal(hAPP(c_Int_Onat,u),skf48(c_fequal(v)))*.
% 299.87/300.59  72186[0:Rew:72185.1,71932.3] class_Rings_Oring__1(u) class_Rings_Osemiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,v)),w)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf48(c_fequal(w)))))**.
% 299.87/300.59  72184[0:Rew:72183.1,71924.3] class_Rings_Oring__1(u) class_Rings_Osemiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(c_Int_Onat,v))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(w))),v)))**.
% 299.87/300.59  66065[0:SpR:936.1,12637.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))),w)**.
% 299.87/300.59  65942[0:SpR:941.1,12637.0] class_Rings_Ocomm__ring(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))),w)**.
% 299.87/300.59  52397[0:SpL:618.2,839.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf62(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  58991[0:Res:1901.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,u))),skf60(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,u))))))*.
% 299.87/300.59  52524[0:Rew:691.1,52446.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf62(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v),x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Int_Onat,y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  69590[0:SpL:744.2,3665.0] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),y),x))*.
% 299.87/300.59  69517[0:SpL:448.2,3665.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u))* hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),x))*.
% 299.87/300.59  62471[0:Rew:284.0,62407.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(c_Int_Onat,u),v))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u))),u)**.
% 299.87/300.59  167592[0:Rew:414.0,167507.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.59  171001[0:Res:1085.2,464.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)))))*.
% 299.87/300.59  171126[0:Res:1036.2,464.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)))))*.
% 299.87/300.59  171247[0:Res:1038.2,464.1] class_Rings_Olinordered__idom(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)),c_Orderings_Oord__class_OLeast(v,c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w)))))*.
% 299.87/300.59  171522[0:Res:724.2,1037.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  172238[0:SpL:1093.1,447.1] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))** -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.59  172186[0:SpR:1093.1,448.2] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))**.
% 299.87/300.59  172344[0:SSi:172343.0,206.1,196.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),x)))**.
% 299.87/300.59  172933[0:SpL:1065.1,51176.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))))*.
% 299.87/300.59  172932[0:SpL:1065.1,735.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.59  172887[0:SpR:1065.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1))),z),hAPP(hAPP(y,z),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),hAPP(c_Nat_OSuc,x1))))**.
% 299.87/300.59  172886[0:SpR:1065.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z))),x1),y),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,z)),hAPP(x1,y)))**.
% 299.87/300.59  172990[0:SSi:172928.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)),c_Groups_Oone__class_Oone(tc_Int_Oint)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.59  173190[0:SpL:1091.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,w)),v))*.
% 299.87/300.59  173156[0:SpR:1091.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),z),hAPP(hAPP(y,z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),z)))*.
% 299.87/300.59  173155[0:SpR:1091.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),y),z),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),z),hAPP(y,z)))*.
% 299.87/300.59  173102[0:SpR:1091.1,853.3] class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,v) c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),v))*.
% 299.87/300.59  173094[0:SpR:1091.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),z),hAPP(hAPP(y,z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),z)))*.
% 299.87/300.59  173093[0:SpR:1091.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),y),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),y),hAPP(z,y)))*.
% 299.87/300.59  174499[0:Res:576.2,1006.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf68(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174590[0:Rew:602.0,174490.1] || hBOOL(hAPP(u,hAPP(v,skf68(hAPP(hAPP(c_COMBB(w,x,y),u),v),z,x1))))* -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x2),x3)).
% 299.87/300.59  174828[0:Res:576.2,1009.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf67(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174920[0:Rew:602.0,174819.1] || hBOOL(hAPP(u,hAPP(v,skf67(hAPP(hAPP(c_COMBB(w,x,y),u),v),z,x1))))* -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x2),x3)).
% 299.87/300.59  175595[0:Res:12637.0,1089.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),v))),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(c_Int_Onat,v))).
% 299.87/300.59  175877[0:Res:12637.0,1090.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),v))),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(c_Int_Onat,v))).
% 299.87/300.59  176309[0:Res:576.2,1081.2] class_Orderings_Owellorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,w)),skf41(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,w)),z,x1)))*.
% 299.87/300.59  176468[0:Rew:602.0,176287.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(v,hAPP(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))))* -> hBOOL(hAPP(v,hAPP(w,skf41(hAPP(hAPP(c_COMBB(z,x1,x2),v),w),x3,x4))))*.
% 299.87/300.59  176650[0:Res:12637.0,1051.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,x),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.59  176934[0:Res:12637.0,1043.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,x),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.59  76957[0:SpR:601.0,963.2] || SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)))*.
% 299.87/300.59  167893[0:Rew:412.0,167820.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.59  78349[0:Rew:1078.0,78279.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf46(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.59  177259[0:Res:12637.0,1045.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,x),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w))*.
% 299.87/300.59  177502[0:Res:12637.0,1063.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,x),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w))*.
% 299.87/300.59  177687[0:Res:12637.0,1050.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  177948[0:Res:12637.0,1062.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,w),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  178247[0:Res:12637.0,1044.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,w),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  178513[0:Res:12637.0,1042.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,w),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  179023[0:SpL:1092.2,735.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.59  178985[0:SpL:1092.2,735.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(v,x)),v))*.
% 299.87/300.59  178956[0:SpR:1092.2,742.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),hAPP(hAPP(x1,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))*.
% 299.87/300.59  178955[0:SpR:1092.2,742.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Otimes__class_Otimes(u),w)),x1),w),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(x1,w)))*.
% 299.87/300.59  178868[0:SpR:1092.2,742.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),x1),hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),hAPP(hAPP(x1,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 299.87/300.59  178867[0:SpR:1092.2,742.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),hAPP(c_Groups_Otimes__class_Otimes(u),v)),x1),v),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),hAPP(x1,v)))*.
% 299.87/300.59  179903[0:SpL:1075.0,924.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y)))* -> equal(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),y)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.59  179890[0:SpL:1075.0,695.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),hAPP(c_Nat_OSuc,x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),x)))*.
% 299.87/300.59  179879[0:SpL:1075.0,943.1] class_Rings_Ono__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))** -> equal(x,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  179878[0:SpL:1075.0,942.1] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(u))** -> equal(x,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  179830[0:SpR:6938.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179815[0:SpR:9490.0,1075.0] ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(w))),skf50(skf64(w))),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf64(w))),skf50(skf64(w))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179813[0:SpR:9503.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(w)))),skf64(w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),skf50(skf64(w)))),skf64(w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179706[0:SpR:172507.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Nat_OSuc,w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179705[0:SpR:172506.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,w)),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179700[0:SpR:442.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Polynomial_Osmult(u),c_Groups_Ozero__class_Ozero(u))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179647[0:SpR:449.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179589[0:SpR:1075.0,890.3] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),c_Groups_Ozero__class_Ozero(u)),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(u))**.
% 299.87/300.59  179548[0:SpR:1075.0,694.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),x)))* -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Nat_OSuc,x))).
% 299.87/300.59  179514[0:SpR:1075.0,853.3] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u))),x),y)) c_Polynomial_Opos__poly(u,x) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u))),x),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179501[0:SpR:1075.0,854.3] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),x),y)) c_Polynomial_Opos__poly(u,x) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),x),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179493[0:SpR:1075.0,741.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  180649[0:SpL:1700.1,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(c_Int_Onat,v))),w))*.
% 299.87/300.59  181459[0:SpL:1098.1,464.1] class_Groups_Ominus(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),y),z))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,z)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,z)))))*.
% 299.87/300.59  181446[0:SpL:1098.1,51176.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),skf49(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x))))*.
% 299.87/300.59  181420[0:SpR:683.2,1098.1] class_Power_Opower(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Power_Opower__class_Opower(u),y)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(z,w)))**.
% 299.87/300.59  181419[0:SpR:12933.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(w)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),y)))),hAPP(x,y)))*.
% 299.87/300.59  181395[0:SpR:3736.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),x),c_Int_Onat__aux(skf48(c_fequal(w)),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(x,c_Int_Onat__aux(skf48(c_fequal(w)),y))))**.
% 299.87/300.59  181352[0:SpR:609.2,1098.1] class_Rings_Oring__no__zero__divisors(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(z,w)))**.
% 299.87/300.59  181347[0:SpR:608.2,1098.1] class_Rings_Oring__no__zero__divisors(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Groups_Otimes__class_Otimes(u),w)),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,z)))**.
% 299.87/300.59  181324[0:SpR:613.2,1098.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Groups_Oplus__class_Oplus(u),w)),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,w)))**.
% 299.87/300.59  181299[0:SpR:495.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_OpCons(u),skf37(u,x))),y),skf36(u,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),x),hAPP(y,skf36(u,x))))**.
% 299.87/300.59  181281[0:SpR:496.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_Osmult(u),x)),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.59  181269[0:SpR:615.2,1098.1] class_Rings_Oring__1__no__zero__divisors(u) class_Groups_Ominus(v) || equal(w,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Groups_Otimes__class_Otimes(u),w)),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(y,w)))**.
% 299.87/300.59  181263[0:SpR:616.2,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,w))),x1),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),z),hAPP(x1,x)))**.
% 299.87/300.59  181262[0:SpR:617.2,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(w,x) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,w))),x1),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x1,x)))**.
% 299.87/300.59  181260[0:SpR:607.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),c_Polynomial_Opoly(u,w)),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,z)))**.
% 299.87/300.59  181222[0:SpR:618.2,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,w)))**.
% 299.87/300.59  181186[0:SpR:683.2,1098.1] class_Power_Opower(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Power_Opower__class_Opower(u),z)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.59  181185[0:SpR:12933.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(x)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),y)))))*.
% 299.87/300.59  181161[0:SpR:3736.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),c_Int_Onat__aux(skf48(c_fequal(x)),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))**.
% 299.87/300.59  181118[0:SpR:609.2,1098.1] class_Rings_Oring__no__zero__divisors(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181113[0:SpR:608.2,1098.1] class_Rings_Oring__no__zero__divisors(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Groups_Otimes__class_Otimes(u),w)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,z)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181090[0:SpR:613.2,1098.1] class_Groups_Olinordered__ab__group__add(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Groups_Oplus__class_Oplus(u),w)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181065[0:SpR:495.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_OpCons(u),skf37(u,y))),skf36(u,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,skf36(u,y))),y))**.
% 299.87/300.59  181047[0:SpR:496.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_Osmult(u),y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.59  181035[0:SpR:615.2,1098.1] class_Rings_Oring__1__no__zero__divisors(u) class_Groups_Ominus(v) || equal(w,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.59  181029[0:SpR:616.2,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x1,w))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),x1))**.
% 299.87/300.59  181028[0:SpR:617.2,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(w,x) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x1,w))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181026[0:SpR:607.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),c_Polynomial_Opoly(u,w)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,z)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  180988[0:SpR:618.2,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  180969[0:SpR:814.1,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(w,x)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),y),x)),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),y),x))**.
% 299.87/300.59  181597[0:Rew:1118.1,181564.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf46(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 299.87/300.59  181599[0:Rew:1118.1,181556.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf49(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181749[0:Rew:1114.1,181722.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf46(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)))*.
% 299.87/300.59  181751[0:Rew:1114.1,181714.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf49(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181752[0:Rew:1114.1,181702.2] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Polynomial_Ocoeff(u,w),x)))**.
% 299.87/300.59  181954[0:SpL:1120.3,12641.0] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,w))* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* equal(w,skf48(c_fequal(z)))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),z))*.
% 299.87/300.59  182194[0:SpL:618.2,1115.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v,u)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf40(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))).
% 299.87/300.59  182180[0:SpL:618.2,1115.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),u)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf40(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v).
% 299.87/300.59  182407[0:Rew:78984.1,182390.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))) -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182373[0:SpL:1659.1,1892.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182372[0:SpL:999.1,1892.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182560[0:Res:939.2,1890.1] class_Rings_Ocomm__ring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182552[0:SpL:742.0,1890.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(u,v))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(hAPP(c_COMBS(w,x,y),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),v)),hAPP(u,v)))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182536[0:SpL:1660.1,1890.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182535[0:SpL:997.1,1890.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),u))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  183417[0:Rew:1129.1,183400.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf48(v))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.59  183418[0:Rew:1129.1,183392.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf47(v))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.59  183419[0:Rew:1129.1,183391.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.59  183420[0:Rew:1129.1,183389.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.59  183421[0:Rew:1129.1,183387.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf57(v))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.59  183422[0:Rew:1129.1,183384.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(v))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf60(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))*.
% 299.87/300.59  183337[0:SpR:1129.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(tc_Nat_Onat)),y),hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(y,hAPP(c_Int_Onat,u)))))*.
% 299.87/300.59  184312[0:SpR:179288.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  184506[0:SpR:1659.1,1139.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.59  184505[0:SpR:999.1,1139.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 299.87/300.59  184500[0:SpR:957.1,1139.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)),v)))*.
% 299.87/300.59  184555[0:Rew:1660.1,184499.2] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.59  184556[0:Rew:997.1,184498.2] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.59  184456[0:SpR:1659.1,1139.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.59  184455[0:SpR:999.1,1139.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))))*.
% 299.87/300.59  184450[0:SpR:957.1,1139.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,w)),u)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),v))))*.
% 299.87/300.59  184588[0:SpR:179289.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),w))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),w))),x),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  184846[0:SpL:1659.1,1893.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w)).
% 299.87/300.59  184845[0:SpL:999.1,1893.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),w)).
% 299.87/300.59  184897[0:SSi:184896.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))* equal(hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,v)),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v)))* -> equal(w,u).
% 299.87/300.59  185356[0:SpL:21749.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(w,c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),v),c_Int_Onat__aux(skf48(c_fequal(u)),y))* -> hBOOL(hAPP(w,y))*.
% 299.87/300.59  185355[0:SpL:21749.1,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))*.
% 299.87/300.59  185351[0:SpL:21749.1,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.87/300.59  185288[0:SpR:21749.1,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v)))).
% 299.87/300.59  185287[0:SpR:21749.1,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(x)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v)))).
% 299.87/300.59  185284[0:SpR:21749.1,3720.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),x)).
% 299.87/300.59  185269[0:SpR:21749.1,3724.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Int_Onat__aux(skf48(c_fequal(u)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),x))**.
% 299.87/300.59  185530[0:SpL:21752.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(w,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),x),c_Int_Onat__aux(skf48(c_fequal(u)),y))* -> hBOOL(hAPP(w,y))*.
% 299.87/300.59  185529[0:SpL:21752.1,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))*.
% 299.87/300.59  185525[0:SpL:21752.1,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))*.
% 299.87/300.59  185462[0:SpR:21752.1,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x))).
% 299.87/300.59  185461[0:SpR:21752.1,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),u)),c_Int_Onat__aux(skf48(c_fequal(v)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x))).
% 299.87/300.59  185458[0:SpR:21752.1,3720.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(x)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),x)).
% 299.87/300.59  185443[0:SpR:21752.1,3724.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),x))**.
% 299.87/300.59  185695[0:SSi:185642.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)))))*.
% 299.87/300.59  185704[0:SpR:994.1,1146.2] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w),x)))*.
% 299.87/300.59  185743[0:SpL:994.1,1147.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,w,x)),y)).
% 299.87/300.59  186075[0:Res:540.1,3663.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.59  186074[0:Res:536.1,3663.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.59  185956[0:SpL:414.0,3663.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.59  185955[0:SpL:412.0,3663.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.59  185887[0:SpL:393.1,3663.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.59  186182[0:Rew:550.1,185899.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.59  186186[4:MRR:185939.2,10316.1] class_Rings_Oring__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)),w)**.
% 299.87/300.59  186196[0:Obv:185861.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.59  186490[0:Res:540.1,3661.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.59  186489[0:Res:536.1,3661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)**.
% 299.87/300.59  186371[0:SpL:414.0,3661.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.59  186370[0:SpL:412.0,3661.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w,v)),v)**.
% 299.87/300.59  186302[0:SpL:393.1,3661.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.59  186597[0:Rew:550.1,186314.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u)),w,v)),v)**.
% 299.87/300.59  186601[4:MRR:186354.2,10316.1] class_Rings_Oring__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)),w)**.
% 299.87/300.59  186611[0:Obv:186276.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.59  186868[0:Rew:997.1,186769.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 299.87/300.59  186872[0:Rew:997.1,186714.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))))*.
% 299.87/300.59  187087[0:SpR:742.0,1144.2] class_Rings_Oidom(u) || equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Otimes__class_Otimes(u)),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x1),hAPP(v,w))))*.
% 299.87/300.59  187026[0:SpR:742.0,1144.2] class_Rings_Oidom(u) || equal(hAPP(v,w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(v,w))),hAPP(hAPP(hAPP(c_COMBS(y,z,x1),c_Groups_Otimes__class_Otimes(u)),v),w)))*.
% 299.87/300.59  187196[0:SSi:187195.0,140.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v))))*.
% 299.87/300.59  187203[0:SSi:187202.0,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,w)),v)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,w)),v)))*.
% 299.87/300.59  187469[0:SSi:187468.0,140.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x))))*.
% 299.87/300.59  188023[0:Res:3664.0,695.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),v,u)),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  187848[0:SpR:602.0,3664.0] ||  -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(hAPP(c_COMBB(y,z,x1),u),v),x,w)),w)**.
% 299.87/300.59  187820[0:SpR:594.1,3664.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),x,w)),w)**.
% 299.87/300.59  187799[0:SpR:555.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),x),w,v)),v)**.
% 299.87/300.59  187777[0:SpR:558.2,3664.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),x),w,v)),v)**.
% 299.87/300.59  187776[0:SpR:556.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),x),w,v)),v)**.
% 299.87/300.59  187768[0:SpR:595.1,3664.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),x,w)),w)**.
% 299.87/300.59  187756[0:SpR:598.2,3664.0] class_Groups_Oab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 299.87/300.59  187755[0:SpR:597.2,3664.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 299.87/300.59  187753[0:SpR:313.1,3664.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.59  188596[0:Res:3662.0,695.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)),v,u)),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  188421[0:SpR:602.0,3662.0] ||  -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(hAPP(c_COMBB(y,z,x1),u),v),x,w)),w)**.
% 299.87/300.59  188393[0:SpR:594.1,3662.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),x,w)),w)**.
% 299.87/300.59  188372[0:SpR:555.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),x),w,v)),v)**.
% 299.87/300.59  188350[0:SpR:558.2,3662.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(x) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),x),w,v)),v)**.
% 299.87/300.59  188349[0:SpR:556.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),x),w,v)),v)**.
% 299.87/300.59  188341[0:SpR:595.1,3662.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),x,w)),w)**.
% 299.87/300.59  188329[0:SpR:598.2,3662.0] class_Groups_Oab__group__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 299.87/300.59  188328[0:SpR:597.2,3662.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 299.87/300.59  188326[0:SpR:313.1,3662.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 299.87/300.59  188814[0:SSi:188787.0,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,v,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Omonom(u,v,w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.59  189004[0:SpR:837.1,1148.1] class_Rings_Oring__1(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,c_Int_Oring__1__class_Oof__int(tc_Polynomial_Opoly(u),v)),x)),w))*.
% 299.87/300.59  189055[0:Rew:1148.1,189018.3] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,w))),x))* equal(w,skf48(c_fequal(y)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),y)),x))*.
% 299.87/300.59  189058[0:Rew:947.1,188973.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w),x)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,x)),y)),w))**.
% 299.87/300.59  189062[0:Rew:1004.1,188972.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w),x)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,x)),y)),w))**.
% 299.87/300.59  49687[0:SpR:816.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x1),z),hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1))))*.
% 299.87/300.59  49688[0:SpR:816.1,742.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x1),z)))*.
% 299.87/300.59  1469[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBS(tc_Nat_Onat,u,u),hAPP(hAPP(c_COMBB(u,tc_fun(u,u),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(u)),c_Polynomial_Ocoeff(u,v))),c_Polynomial_Ocoeff(u,w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),w))**.
% 299.87/300.59  1483[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(hAPP(c_COMBS(tc_Nat_Onat,u,u),hAPP(hAPP(c_COMBB(u,tc_fun(u,u),tc_Nat_Onat),c_Groups_Oplus__class_Oplus(u)),c_Polynomial_Ocoeff(u,v))),c_Polynomial_Ocoeff(u,w))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),w))**.
% 299.87/300.59  75675[0:Res:891.2,976.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(w,x)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),x)))*.
% 299.87/300.59  75691[0:Res:893.2,976.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),x)),hAPP(w,x)))*.
% 299.87/300.59  75149[0:SpL:745.1,989.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,w,x)),v)).
% 299.87/300.59  75167[0:SpL:745.1,989.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),x),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  73902[0:SpL:745.1,987.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),c_Polynomial_Omonom(u,v,w)))*.
% 299.87/300.59  73667[0:SpR:745.1,988.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  74295[0:SpL:745.1,986.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,w,x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 299.87/300.59  73685[0:SpR:745.1,988.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),c_Polynomial_Omonom(u,w,x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 299.87/300.59  64624[0:SpL:745.1,933.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  63648[0:SpR:745.1,934.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.59  64104[0:SpR:745.1,932.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  64494[0:SpL:745.1,935.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  73688[0:Res:988.2,879.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)).
% 299.87/300.59  73370[0:Res:954.2,879.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  73527[0:Res:952.2,870.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,v)),w),x)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))*.
% 299.87/300.59  73806[0:Res:972.2,870.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)))*.
% 299.87/300.59  75266[0:SpL:745.1,973.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,w,x)),v)).
% 299.87/300.59  75284[0:SpL:745.1,973.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),x),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  74090[0:SpL:745.1,971.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),c_Polynomial_Omonom(u,v,w)))*.
% 299.87/300.59  73773[0:SpR:745.1,972.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  74479[0:SpL:745.1,970.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,w,x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 299.87/300.59  73791[0:SpR:745.1,972.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),v),c_Polynomial_Omonom(u,w,x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 299.87/300.59  64700[0:SpL:745.1,919.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  63710[0:SpR:745.1,916.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 299.87/300.59  64231[0:SpR:745.1,918.2] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  64560[0:SpL:745.1,917.1] class_Groups_Oab__group__add(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  70178[0:Rew:1686.1,70110.3] class_Groups_Oab__group__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))))*.
% 299.87/300.59  73209[0:Rew:691.1,73072.2] class_Rings_Oring(tc_fun(u,v)) class_Groups_Ouminus(v) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(c_Groups_Ouminus__class_Ouminus(v),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_fun(u,v)),w),x),y))),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_fun(u,v)),w),x),y))**.
% 299.87/300.59  72606[0:SpR:745.1,1659.1] class_Groups_Oab__group__add(u) class_Rings_Oring(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))**.
% 299.87/300.59  71086[0:SpR:745.1,1660.1] class_Groups_Oab__group__add(u) class_Rings_Oring(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x))**.
% 299.87/300.59  71186[0:Rew:1660.1,71089.3] class_Rings_Oring(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))))*.
% 299.87/300.59  73051[0:SpR:1661.1,1686.1] class_Rings_Oring(u) class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))**.
% 299.87/300.59  73597[0:SpR:745.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),c_Polynomial_Omonom(u,w,x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 299.87/300.59  74982[0:SpL:745.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,w,x)),v)).
% 299.87/300.59  75000[0:SpL:745.1,992.1] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),x),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  73579[0:SpR:745.1,991.2] class_Groups_Oab__group__add(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  73600[0:Res:991.2,879.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)).
% 299.87/300.59  48685[0:SpR:747.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1)),x1))*.
% 299.87/300.59  48684[0:SpR:747.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),x1)),hAPP(x1,hAPP(z,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),x1))))*.
% 299.87/300.59  70646[0:Rew:1685.1,70557.3] class_Groups_Ogroup__add(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)))),x)))*.
% 299.87/300.59  72882[0:SpR:745.1,999.1] class_Groups_Oab__group__add(u) class_RealVector_Oreal__normed__algebra(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,w,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)))**.
% 299.87/300.59  71357[0:SpR:745.1,997.1] class_Groups_Oab__group__add(u) class_RealVector_Oreal__normed__algebra(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w)),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),x))**.
% 299.87/300.59  71470[0:Rew:997.1,71360.3] class_RealVector_Oreal__normed__algebra(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))))*.
% 299.87/300.59  78715[0:Rew:1073.0,78637.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  78718[0:Rew:1073.0,78629.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  78551[0:SpR:1073.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z)))))*.
% 299.87/300.59  78189[0:SpR:1078.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),z),hAPP(x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),z)))))*.
% 299.87/300.59  72059[0:SpR:957.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,z))),c_Int_Oring__1__class_Oof__int(u,x1)),hAPP(hAPP(y,c_Int_Oring__1__class_Oof__int(u,x1)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),z),x1))))*.
% 299.87/300.59  72058[0:SpR:957.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,y))),z),c_Int_Oring__1__class_Oof__int(u,x1)),hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),x1)),hAPP(z,c_Int_Oring__1__class_Oof__int(u,x1))))*.
% 299.87/300.59  72238[0:SpR:956.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,z))),c_Int_Oring__1__class_Oof__int(u,x1)),hAPP(hAPP(y,c_Int_Oring__1__class_Oof__int(u,x1)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x1))))*.
% 299.87/300.59  72237[0:SpR:956.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,y))),z),c_Int_Oring__1__class_Oof__int(u,x1)),hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),x1)),hAPP(z,c_Int_Oring__1__class_Oof__int(u,x1))))*.
% 299.87/300.59  72412[0:SpR:955.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,z))),c_Int_Oring__1__class_Oof__int(u,x1)),hAPP(hAPP(y,c_Int_Oring__1__class_Oof__int(u,x1)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),z),x1))))*.
% 299.87/300.59  72411[0:SpR:955.1,742.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,y))),z),c_Int_Oring__1__class_Oof__int(u,x1)),hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),y),x1)),hAPP(z,c_Int_Oring__1__class_Oof__int(u,x1))))*.
% 299.87/300.59  54940[0:SpR:816.1,864.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))*.
% 299.87/300.59  55099[0:SpL:816.1,865.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.59  54565[0:SpR:816.1,893.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)))*.
% 299.87/300.59  55025[0:SpL:816.1,894.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v))).
% 299.87/300.59  55448[0:SpL:816.1,867.1] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  55315[0:SpR:816.1,866.2] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))*.
% 299.87/300.59  55365[0:SpL:816.1,892.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  55230[0:SpR:816.1,891.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))*.
% 299.87/300.59  39320[0:SpL:616.2,492.0] class_Groups_Ozero(u) || equal(skf33(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x),w) equal(hAPP(x,skf33(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x)),v)** -> equal(x,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  39313[0:SpL:616.2,492.0] class_Groups_Ozero(u) || equal(skf33(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x))),x) equal(hAPP(v,skf33(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)))),w)** -> equal(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),v).
% 299.87/300.59  39271[0:SpL:617.2,492.0] class_Groups_Ozero(u) || equal(hAPP(v,skf33(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)))),c_Groups_Ozero__class_Ozero(u))** -> equal(skf33(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x))),x) equal(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),v).
% 299.87/300.59  39278[0:SpL:617.2,492.0] class_Groups_Ozero(u) || equal(hAPP(v,skf33(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf33(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),v),x) equal(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x))).
% 299.87/300.59  49859[0:SpL:752.2,441.0] class_Groups_Ogroup__add(u) || equal(skf35(hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf34(hAPP(c_Groups_Oplus__class_Oplus(u),v))),c_Groups_Ozero__class_Ozero(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v))*.
% 299.87/300.59  50001[0:SpL:748.2,441.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf35(hAPP(c_Groups_Oplus__class_Oplus(u),v))),v) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf34(hAPP(c_Groups_Oplus__class_Oplus(u),v))),c_Groups_Ozero__class_Ozero(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v))*.
% 299.87/300.59  26573[0:SpL:12933.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(v))),u)),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf33(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(v))),u)))))* -> equal(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(v)))).
% 299.87/300.59  26571[0:SpL:12933.0,492.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf33(v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))))))),hAPP(v,skf33(v,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))))))* -> equal(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))),v).
% 299.87/300.59  19013[0:SpL:551.0,492.0] || equal(hAPP(u,skf33(hAPP(c_COMBC(v,w,x,y),z),u)),hAPP(hAPP(y,skf33(hAPP(c_COMBC(v,w,x,y),z),u)),z))* -> equal(u,hAPP(c_COMBC(v,w,x,y),z)).
% 299.87/300.59  19012[0:SpL:551.0,492.0] || equal(hAPP(hAPP(u,skf33(v,hAPP(c_COMBC(w,x,y,u),z))),z),hAPP(v,skf33(v,hAPP(c_COMBC(w,x,y,u),z))))* -> equal(hAPP(c_COMBC(w,x,y,u),z),v).
% 299.87/300.59  76960[0:SpR:495.1,963.2] class_Groups_Ozero(u) || SkP2(c_Polynomial_OpCons(u),skf37(u,v),skf36(u,v))* SkP1(c_Polynomial_OpCons(u),skf37(u,v),skf36(u,v)) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf37(u,v)),skf36(u,v)))*.
% 299.87/300.59  76845[0:SpR:689.2,963.2] class_Groups_Ozero(u) || equal(v,w)* SkP2(c_Polynomial_Ocoeff(u,v),x,y)* SkP1(c_Polynomial_Ocoeff(u,v),x,y) -> hBOOL(hAPP(hAPP(c_Polynomial_Ocoeff(u,w),x),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  76789[0:SpR:609.2,963.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),v,x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),v,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 299.87/300.59  76718[0:SpR:608.2,963.2] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  76716[0:SpR:615.2,963.2] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,w) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  76810[0:SpR:613.2,963.2] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  76688[0:SpR:449.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)* SkP1(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)).
% 299.87/300.59  76935[0:SpR:741.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)* SkP1(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)).
% 299.87/300.59  73606[0:Res:991.2,21751.0] class_Lattices_Oboolean__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)),w)* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)))*.
% 299.87/300.59  73144[0:SpL:1661.1,447.1] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  73036[0:SpR:1661.1,448.2] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)).
% 299.87/300.59  69685[0:Res:3720.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),x)),y))*.
% 299.87/300.59  69787[0:Rew:837.1,69602.3] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),y)))*.
% 299.87/300.59  78846[0:SpR:1059.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),hAPP(x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z)))))*.
% 299.87/300.59  77835[0:SpR:1079.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Power_Opower__class_Opower(tc_Int_Oint)),x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),z)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),hAPP(x,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),z)))))*.
% 299.87/300.59  80704[0:Res:539.0,1032.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)).
% 299.87/300.59  48463[0:SpL:744.2,441.0] class_Rings_Oidom(u) || equal(skf35(hAPP(c_Polynomial_Osmult(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),skf34(hAPP(c_Polynomial_Osmult(u),v))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Polynomial_Osmult(u),v))*.
% 299.87/300.59  79004[0:Rew:1059.0,78933.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  79001[0:Rew:1059.0,78941.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf48(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  71916[0:SpR:959.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,y))),z),c_Nat_Osemiring__1__class_Oof__nat(u,x1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),x1)),hAPP(z,c_Nat_Osemiring__1__class_Oof__nat(u,x1))))*.
% 299.87/300.59  71917[0:SpR:959.1,742.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,z))),c_Nat_Osemiring__1__class_Oof__nat(u,x1)),hAPP(hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,x1)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z),x1))))*.
% 299.87/300.59  55590[0:Rew:852.1,55553.3,302.1,55553.1,27252.0,55553.1,852.1,55553.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf62(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,x))))*.
% 299.87/300.59  46191[0:SpR:12953.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(v))),w,skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(v))),hAPP(c_Nat_OSuc,w),skf48(c_fequal(x))))**.
% 299.87/300.59  43651[0:SpR:741.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.59  43640[0:SpR:594.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),y,w))*.
% 299.87/300.59  43676[0:SpR:595.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),y,w))*.
% 299.87/300.59  76425[0:SpR:1004.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,w),x,hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,y)),z)))*.
% 299.87/300.59  57311[0:SpR:878.1,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,w),c_Polynomial_Omonom(u,x,y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),w,c_Polynomial_Omonom(u,x,hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.59  69788[0:Rew:852.1,69601.3] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),y)))*.
% 299.87/300.59  12643[0:Rew:12519.0,1917.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(w))),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(w))),v)))*.
% 299.87/300.59  68803[0:SpR:3724.0,1901.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,w)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 299.87/300.59  77923[0:Rew:1079.0,77880.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(w))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  77920[0:Rew:1079.0,77888.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf48(w))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  62445[0:SpL:21745.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 299.87/300.59  1480[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),v)),y))*.
% 299.87/300.59  1481[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),y)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),w)))*.
% 299.87/300.59  76772[0:SpR:443.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  78716[0:Rew:1073.0,78634.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf47(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  77921[0:Rew:1079.0,77885.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf47(w))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  79002[0:Rew:1059.0,78938.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf47(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  78720[0:Rew:1073.0,78626.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf57(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  77925[0:Rew:1079.0,77877.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf57(w))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  79006[0:Rew:1059.0,78930.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf57(w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  78717[0:Rew:1073.0,78630.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf60(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  77922[0:Rew:1079.0,77881.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  79003[0:Rew:1059.0,78934.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  54494[0:SpR:890.3,739.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,x),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),x,c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  76708[0:SpR:686.1,963.2] class_Rings_Oidom(u) || SkP2(c_Polynomial_Opoly(u,v),w,x)* SkP1(c_Polynomial_Opoly(u,v),w,x) -> equal(c_Polynomial_Oorder(u,w,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  41753[0:Res:575.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),u))))*.
% 299.87/300.59  52107[0:Res:740.1,863.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,v))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Nat_OSuc,skf51(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w))**.
% 299.87/300.59  69600[0:SpL:890.3,3665.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),x))*.
% 299.87/300.59  76751[0:SpR:6938.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u),v)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.87/300.59  42875[0:Rew:691.1,42840.2,691.1,42840.1] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v))))))*.
% 299.87/300.59  49736[0:SpL:816.1,735.0] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)))*.
% 299.87/300.59  47586[0:Res:12782.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf62(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(c_Int_Onat,w)))*.
% 299.87/300.59  68364[0:Rew:3632.0,68332.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(w,v))).
% 299.87/300.59  47550[0:SpL:609.2,805.1] class_Rings_Oring__no__zero__divisors(u) || equal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  48172[0:SpR:505.1,12638.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)**.
% 299.87/300.59  48173[0:SpR:506.1,12638.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)**.
% 299.87/300.59  48735[0:SpL:747.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 299.87/300.59  77727[0:SpL:3761.0,1012.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),u).
% 299.87/300.59  66531[0:Res:12638.1,920.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),hAPP(c_Int_Onat,x)),w))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x))),x).
% 299.87/300.59  71955[0:SpL:959.1,735.0] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Nat_Osemiring__1__class_Oof__nat(u,w),x)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 299.87/300.59  72117[0:SpL:957.1,735.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,w),x)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.59  72293[0:SpL:956.1,735.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,w),x)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.59  72465[0:SpL:955.1,735.0] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Int_Oring__1__class_Oof__int(u,w),x)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 299.87/300.59  51215[0:Res:1649.2,12634.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(v,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(v,skf48(c_fequal(skf59(v)))))*.
% 299.87/300.59  1474[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.59  1475[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 299.87/300.59  1479[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))* -> equal(u,v).
% 299.87/300.59  51305[0:SpL:690.2,12635.0] class_Rings_Ocomm__semiring__1(u) || equal(skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v))*.
% 299.87/300.59  51317[0:SpL:617.2,12635.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x))))),x)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),v))*.
% 299.87/300.59  51393[0:Res:694.1,12635.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf48(c_fequal(skf58(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))*.
% 299.87/300.59  51350[0:SpL:748.2,12635.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf48(c_fequal(skf58(hAPP(c_Groups_Oplus__class_Oplus(u),v))))),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.59  51351[0:SpL:752.2,12635.0] class_Groups_Ogroup__add(u) || equal(skf48(c_fequal(skf58(hAPP(c_Groups_Oplus__class_Oplus(u),v)))),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))*.
% 299.87/300.59  51316[0:SpL:616.2,12635.0] class_Groups_Ozero(u) || equal(skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))))),w)** hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x))*.
% 299.87/300.59  51509[0:Res:12638.1,824.1] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v))),v)** equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Int_Onat,v))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Int_Onat,v)))**.
% 299.87/300.59  67486[0:Res:12637.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(c_Int_Onat,u))).
% 299.87/300.59  76059[0:Res:12637.0,969.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,w),v))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,v)),w))*.
% 299.87/300.59  70531[0:SpR:1685.1,12637.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))),v).
% 299.87/300.59  57417[0:SpR:1672.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Int_Onat,v),w)),v))),v)**.
% 299.87/300.59  71337[0:SpR:997.1,12637.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 299.87/300.59  71066[0:SpR:1660.1,12637.0] class_Rings_Oring(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 299.87/300.59  70084[0:SpR:1686.1,12637.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 299.87/300.59  57645[0:SpR:902.2,12637.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Int_Onat,w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),w))),w)**.
% 299.87/300.59  52471[0:Res:694.1,839.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52441[0:SpL:748.2,839.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52442[0:SpL:752.2,839.0] class_Groups_Ogroup__add(u) || equal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52407[0:SpL:616.2,839.0] class_Groups_Ozero(u) || equal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x),w)** hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  52408[0:SpL:617.2,839.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  77924[0:Rew:1079.0,77879.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))*.
% 299.87/300.59  79005[0:Rew:1059.0,78932.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf60(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))*.
% 299.87/300.59  52440[0:SpL:744.2,839.0] class_Rings_Oidom(u) || equal(skf62(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  51349[0:SpL:744.2,12635.0] class_Rings_Oidom(u) || equal(skf48(c_fequal(skf58(hAPP(c_Polynomial_Osmult(u),v)))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),w))*.
% 299.87/300.59  168427[0:Res:539.1,1031.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),u)).
% 299.87/300.59  169974[0:SpR:10145.1,1660.1] class_Rings_Oring(tc_Nat_Onat) ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),skf50(u)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),u))**.
% 299.87/300.59  169973[0:SpR:10145.1,997.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),skf50(u)))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),v)),u))**.
% 299.87/300.59  170070[0:Rew:3749.0,169960.1] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),u))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(u))))**.
% 299.87/300.59  170403[0:Res:536.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.59  170502[0:Rew:551.0,170323.2,551.0,170323.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(u,skf68(hAPP(c_COMBC(w,x,y,u),v),z,x1)),v))* -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3)),v))*.
% 299.87/300.59  170791[0:Res:536.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))*.
% 299.87/300.59  170892[0:Rew:551.0,170711.2,551.0,170711.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) hBOOL(hAPP(hAPP(u,skf67(hAPP(c_COMBC(w,x,y,u),v),z,x1)),v))* -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3)),v))*.
% 299.87/300.59  171026[0:SSi:171025.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.59  171137[0:SSi:171136.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))*.
% 299.87/300.59  171445[0:SSi:171444.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  171518[0:Res:776.2,1037.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  171517[0:Res:779.2,1037.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  171553[0:SSi:171538.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> hBOOL(hAPP(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))* equal(skf48(c_fequal(skf62(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  171555[0:SSi:171554.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.59  171636[0:Res:776.2,1039.1] class_Orderings_Olinorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  171635[0:Res:779.2,1039.1] class_Orderings_Oorder(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.59  172214[0:SpR:1093.1,812.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)))**.
% 299.87/300.59  172213[0:SpR:1093.1,815.1] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)))**.
% 299.87/300.59  172212[0:SpR:1093.1,813.1] class_Rings_Ocomm__ring(u) class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)))**.
% 299.87/300.59  172211[0:SpR:1093.1,814.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)))**.
% 299.87/300.59  172207[0:SpR:1093.1,734.3] class_Rings_Ocomm__ring(u) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)) equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 299.87/300.59  172191[0:SpR:1093.1,746.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x)),x)**.
% 299.87/300.59  172190[0:SpR:1093.1,747.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)),x)**.
% 299.87/300.59  172282[0:SSi:172220.1,206.1,196.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))**.
% 299.87/300.59  172283[0:SSi:172205.1,206.1,196.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x))**.
% 299.87/300.59  172311[0:SpR:816.1,1683.1] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),x),w)))**.
% 299.87/300.59  172439[0:SpR:1064.1,1660.1] class_Power_Opower(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172438[0:SpR:1064.1,997.1] class_Power_Opower(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172577[0:SSi:172443.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172580[0:SSi:172442.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172643[0:SpR:1689.1,1660.1] class_Groups_Omonoid__mult(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172642[0:SpR:1689.1,997.1] class_Groups_Omonoid__mult(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172937[0:SpL:1065.1,12641.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w))) equal(v,skf48(c_fequal(x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),w)),x))*.
% 299.87/300.59  172868[0:SpR:1065.1,1659.1] class_Groups_Omonoid__mult(u) class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  172867[0:SpR:1065.1,999.1] class_Groups_Omonoid__mult(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,w)))**.
% 299.87/300.59  173226[0:SpL:1091.1,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w))*.
% 299.87/300.59  173195[0:SpL:1091.1,12641.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Int_Onat,v)))* equal(v,skf48(c_fequal(w))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),w))*.
% 299.87/300.59  173130[0:SpR:1091.1,1659.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)))*.
% 299.87/300.59  173129[0:SpR:1091.1,999.1] class_Rings_Ocomm__semiring__1(u) class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v)))*.
% 299.87/300.59  173359[0:Rew:1190.1,173097.2] class_Rings_Ocomm__semiring__1(u) class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.59  173619[0:SSi:173618.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))).
% 299.87/300.59  173830[0:SSi:173829.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))*.
% 299.87/300.59  174073[0:Res:776.2,1041.1] class_Orderings_Olinorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.59  174072[0:Res:779.2,1041.1] class_Orderings_Oorder(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)).
% 299.87/300.59  174109[0:SSi:174108.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))).
% 299.87/300.59  174277[0:SSi:174276.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))*.
% 299.87/300.59  174515[0:Res:1630.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf68(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v,w)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174507[0:Res:12782.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174447[0:SpL:558.2,1006.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174431[0:SpL:598.2,1006.0] class_Groups_Oab__group__add(u) || equal(skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174430[0:SpL:597.2,1006.0] class_Groups_Ogroup__add(u) || equal(skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174408[0:SpL:448.2,1006.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf68(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u)) hBOOL(skf68(c_Groups_Ouminus__class_Ouminus(u),v,w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174596[0:Rew:687.1,174463.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174844[0:Res:1630.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf67(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),v,w)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174836[0:Res:12782.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v,w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174776[0:SpL:558.2,1009.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174760[0:SpL:598.2,1009.0] class_Groups_Oab__group__add(u) || equal(skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174759[0:SpL:597.2,1009.0] class_Groups_Ogroup__add(u) || equal(skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.59  174737[0:SpL:448.2,1009.0] class_Groups_Olinordered__ab__group__add(u) || equal(skf67(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u)) hBOOL(skf67(c_Groups_Ouminus__class_Ouminus(u),v,w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174926[0:Rew:687.1,174792.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.59  174958[0:SpR:172506.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u),v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.87/300.59  175487[0:SpR:172507.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,u),v)* SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,u),v) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Int_Oint),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)).
% 299.87/300.59  175582[0:SpL:742.0,1089.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),z),hAPP(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))))*.
% 299.87/300.59  175864[0:SpL:742.0,1090.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(u)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x1),hAPP(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))))*.
% 299.87/300.59  176367[0:Res:40072.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),skf41(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x,y)))*.
% 299.87/300.59  176344[0:Res:1630.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),skf41(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v)),y,z)))*.
% 299.87/300.59  176329[0:Res:12782.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(v))),y,z)))*.
% 299.87/300.59  176246[0:SpL:555.1,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),y),z,x1)))*.
% 299.87/300.59  176224[0:SpL:558.2,1081.2] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(u))* hBOOL(y) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),y),z,x1)))*.
% 299.87/300.59  176223[0:SpL:556.1,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),y),z,x1)))*.
% 299.87/300.59  176203[0:SpL:598.2,1081.2] class_Groups_Oab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),w),z,x1)))*.
% 299.87/300.59  176202[0:SpL:597.2,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),w),z,x1)))*.
% 299.87/300.59  176474[0:Rew:687.1,176247.4] class_Rings_Ocomm__ring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),y,z)))*.
% 299.87/300.59  176651[0:Res:12638.1,1051.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),x))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.59  176935[0:Res:12638.1,1043.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Int_Onat,w)),x))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.59  177260[0:Res:12638.1,1045.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,w)),x))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x))*.
% 299.87/300.59  177503[0:Res:12638.1,1063.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,w)),x))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w))),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x))*.
% 299.87/300.59  177688[0:Res:12638.1,1050.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  177949[0:Res:12638.1,1062.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  178248[0:Res:12638.1,1044.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,v),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  178514[0:Res:12638.1,1042.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),v))* -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(c_Int_Onat,x)))*.
% 299.87/300.59  179028[0:SpL:1092.2,12641.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* equal(w,skf48(c_fequal(x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),x))*.
% 299.87/300.59  178990[0:SpL:1092.2,12641.0] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* equal(v,skf48(c_fequal(x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),x))*.
% 299.87/300.59  179106[0:Rew:997.1,178924.3] class_Rings_Oidom(u) class_RealVector_Oreal__normed__algebra(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 299.87/300.59  179112[0:Rew:997.1,178836.3] class_Rings_Oidom(u) class_RealVector_Oreal__normed__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))))*.
% 299.87/300.59  179116[0:SSi:178927.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))))*.
% 299.87/300.59  179117[0:SSi:178839.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))*.
% 299.87/300.59  179417[0:Obv:179221.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),w)),v))*.
% 299.87/300.59  179912[0:SpL:1075.0,3665.0] || hBOOL(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y))))* equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y))),z),x)** -> hBOOL(hAPP(u,z))*.
% 299.87/300.59  179911[0:SpL:1075.0,3696.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y))),x))*.
% 299.87/300.59  179906[0:SpL:1075.0,965.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),x),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 299.87/300.59  179891[0:SpL:1075.0,3680.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),x))))*.
% 299.87/300.59  179864[0:SpL:1075.0,961.1] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),hAPP(c_Nat_OSuc,y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),y)).
% 299.87/300.59  179860[0:SpL:1075.0,951.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y)))*.
% 299.87/300.59  179859[0:SpL:1075.0,953.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),hAPP(c_Nat_OSuc,y))),c_Groups_Ozero__class_Ozero(u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),x),y)))*.
% 299.87/300.59  179805[0:SpR:3732.0,1075.0] ||  -> equal(hAPP(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),u))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),u))),x),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.59  179786[0:SpR:593.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),v),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179765[0:SpR:555.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),w)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),w)),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  179734[0:SpR:558.2,1075.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(w,hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),hAPP(c_Nat_OSuc,z)))*.
% 299.87/300.59  179733[0:SpR:556.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  179701[0:SpR:550.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),c_Groups_Ozero__class_Ozero(u))),v),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179686[0:SpR:598.2,1075.0] class_Groups_Oab__group__add(u) || equal(v,w) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),v)),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),v)),w),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  179685[0:SpR:597.2,1075.0] class_Groups_Ogroup__add(u) || equal(v,w) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),v)),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),v)),w),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  179674[0:SpR:607.2,1075.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Opoly(u,v)),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Opoly(u,v)),y),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  179670[0:SpR:590.1,1075.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),c_Int_Oring__1__class_Oof__int(u,v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ouminus__class_Ouminus(u)),c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179604[0:SpR:1075.0,1004.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Oplus__class_Oplus(u)),w),z)),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Oplus__class_Oplus(u)),w),hAPP(c_Nat_OSuc,z))))**.
% 299.87/300.59  179598[0:SpR:1075.0,852.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179597[0:SpR:1075.0,837.1] class_Rings_Oring__1(u) ||  -> equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),c_Int_Oring__1__class_Oof__int(u,v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),c_Int_Oring__1__class_Oof__int(u,v)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.59  179592[0:SpR:1075.0,3738.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y)))).
% 299.87/300.59  179591[0:SpR:1075.0,3729.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y)))).
% 299.87/300.59  179576[0:SpR:1075.0,1657.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),x))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179571[0:SpR:1075.0,3720.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),y))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y))),v)).
% 299.87/300.59  179553[0:SpR:1075.0,3724.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),x))),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x))),y))**.
% 299.87/300.59  179536[0:SpR:1075.0,687.1] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179518[0:SpR:1075.0,753.0] ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),x))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  179500[0:SpR:1075.0,746.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y))**.
% 299.87/300.59  179477[0:SpR:1075.0,952.2] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(u)),v),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(u)),v),hAPP(c_Nat_OSuc,y))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  179476[0:SpR:1075.0,954.2] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(u)),v),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(u)),v),hAPP(c_Nat_OSuc,y))),c_Groups_Ozero__class_Ozero(u)))*.
% 299.87/300.59  180190[0:SpL:179332.0,735.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,x)),u))*.
% 299.87/300.59  180161[0:SpR:179332.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),z),x1))),y),hAPP(hAPP(x,y),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),c_Int_Onat__aux(skf48(c_fequal(x1)),z))))**.
% 299.87/300.59  180160[0:SpR:179332.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),y),z))),x1),x),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),c_Int_Onat__aux(skf48(c_fequal(z)),y)),hAPP(x1,x)))**.
% 299.87/300.59  180231[0:SSi:180151.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Opcompose(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),v)),w),x),u)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Polynomial_Opoly(tc_Int_Oint,u),v)),c_Int_Onat__aux(skf48(c_fequal(x)),w)))**.
% 299.87/300.59  180644[0:SpL:1700.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,x)),w))*.
% 299.87/300.59  180625[0:SpR:1700.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),z),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x1))),x1),hAPP(hAPP(y,x1),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.59  180624[0:SpR:1700.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),y),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),z))),x1),z),hAPP(c_Groups_Oone__class_Oone(u),hAPP(x1,z)))**.
% 299.87/300.59  181479[0:SpL:1098.1,3665.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y))* equal(x,c_Int_Onat__aux(skf48(c_fequal(y)),z))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),z))*.
% 299.87/300.59  181445[0:SpL:1098.1,735.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,z)),w))*.
% 299.87/300.59  181439[0:SpR:742.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(hAPP(c_COMBS(w,x,y),z),x1)),x2),x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(z,x3),hAPP(x1,x3))),hAPP(x2,x3)))*.
% 299.87/300.59  181431[0:SpR:689.2,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),c_Polynomial_Ocoeff(u,w)),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Polynomial_Ocoeff(u,x),x1)),hAPP(z,x1)))*.
% 299.87/300.59  181429[0:SpR:691.1,1098.1] class_Groups_Ouminus(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),y)),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(y,x1))),hAPP(z,x1)))*.
% 299.87/300.59  181414[0:SpR:565.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.59  181361[0:SpR:554.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x)),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.59  181354[0:SpR:687.1,1098.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),hAPP(x,y)))*.
% 299.87/300.59  181290[0:SpR:741.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y)),hAPP(x,y)))*.
% 299.87/300.59  181274[0:SpR:685.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Polynomial_Osmult(u),w)),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(y,z)))**.
% 299.87/300.59  181259[0:SpR:686.1,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) ||  -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),c_Polynomial_Opoly(u,x)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(z,w)))**.
% 299.87/300.59  181256[0:SpR:590.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),c_Int_Oring__1__class_Oof__int(u,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))),hAPP(x,c_Int_Oring__1__class_Oof__int(u,y))))*.
% 299.87/300.59  181221[0:SpR:690.2,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(y,w)))**.
% 299.87/300.59  181205[0:SpR:742.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(hAPP(c_COMBS(x,y,z),x1),x2)),x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x3)),hAPP(hAPP(x1,x3),hAPP(x2,x3))))*.
% 299.87/300.59  181197[0:SpR:689.2,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),c_Polynomial_Ocoeff(u,w)),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x1)),hAPP(c_Polynomial_Ocoeff(u,x),x1)))*.
% 299.87/300.59  181195[0:SpR:691.1,1098.1] class_Groups_Ouminus(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),z)),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,x1)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(z,x1))))*.
% 299.87/300.59  181180[0:SpR:565.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))**.
% 299.87/300.59  181127[0:SpR:554.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.59  181120[0:SpR:687.1,1098.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)))*.
% 299.87/300.59  181056[0:SpR:741.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y)))*.
% 299.87/300.59  181040[0:SpR:685.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Polynomial_Osmult(u),w)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,z)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.59  181025[0:SpR:686.1,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) ||  -> equal(c_Polynomial_Oorder(u,w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),c_Polynomial_Opoly(u,x)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.59  181022[0:SpR:590.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),c_Int_Oring__1__class_Oof__int(u,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Int_Oring__1__class_Oof__int(u,y))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))))*.
% 299.87/300.59  180987[0:SpR:690.2,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Oone__class_Oone(u)))**.
% 299.87/300.59  180918[0:SpR:1098.1,1075.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ominus__class_Ominus(u)),hAPP(w,z))),z),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ominus__class_Ominus(u)),hAPP(w,z)),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.59  180907[0:SpR:1098.1,742.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),x1),x2)),x3),hAPP(hAPP(y,x3),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x1,x3)),hAPP(x2,x3))))*.
% 299.87/300.59  180906[0:SpR:1098.1,742.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),z),x1)),x2),x3),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(z,x3)),hAPP(x1,x3)),hAPP(x2,x3)))*.
% 299.87/300.59  181511[0:SSi:181467.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,tc_Nat_Onat)),v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(w,x)),hAPP(v,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(w,x),hAPP(v,x)).
% 299.87/300.59  181605[0:Rew:1118.1,181579.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf48(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181606[0:Rew:1118.1,181571.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf47(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181607[0:Rew:1118.1,181570.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181608[0:Rew:1118.1,181568.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181609[0:Rew:1118.1,181566.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf57(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181610[0:Rew:1118.1,181563.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181536[0:SpR:1118.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),z),x1))),x2),hAPP(hAPP(y,x2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(c_Polynomial_Opoly(u,x1),x2))))*.
% 299.87/300.59  181535[0:SpR:1118.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),y),z))),x1),x2),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),hAPP(c_Polynomial_Opoly(u,z),x2)),hAPP(x1,x2)))*.
% 299.87/300.59  181753[0:Rew:1114.1,181737.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf48(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181754[0:Rew:1114.1,181729.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf47(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181755[0:Rew:1114.1,181728.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181756[0:Rew:1114.1,181726.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181757[0:Rew:1114.1,181724.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf57(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181758[0:Rew:1114.1,181721.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 299.87/300.59  181694[0:SpR:1114.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),z),x1))),x2),hAPP(hAPP(y,x2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(c_Polynomial_Ocoeff(u,x1),x2))))*.
% 299.87/300.59  181693[0:SpR:1114.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),y),z))),x1),x2),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),hAPP(c_Polynomial_Ocoeff(u,z),x2)),hAPP(x1,x2)))*.
% 299.87/300.59  181948[0:SpL:1120.3,735.0] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,z)),w))*.
% 299.87/300.59  181886[0:SpR:1120.3,742.0] class_Groups_Ozero(u) || equal(v,w) equal(x,y) -> equal(hAPP(hAPP(hAPP(c_COMBS(z,x1,x2),x3),hAPP(c_Polynomial_OpCons(u),y)),w),hAPP(hAPP(x3,w),hAPP(hAPP(c_Polynomial_OpCons(u),x),v)))*.
% 299.87/300.59  181885[0:SpR:1120.3,742.0] class_Groups_Ozero(u) || equal(v,w) equal(x,y) -> equal(hAPP(hAPP(hAPP(c_COMBS(z,x1,x2),hAPP(c_Polynomial_OpCons(u),y)),x3),w),hAPP(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),hAPP(x3,w)))*.
% 299.87/300.59  182193[0:SpL:690.2,1115.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(skf40(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v,u)),c_Groups_Oone__class_Oone(u))** -> equal(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))).
% 299.87/300.59  182179[0:SpL:690.2,1115.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ozero(u) || equal(skf40(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(v,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),u)),c_Groups_Oone__class_Oone(u))** -> equal(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v).
% 299.87/300.59  182412[0:SSi:182411.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))) -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182414[0:SSi:182413.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))) -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182545[0:SpL:1059.0,1890.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u))),u))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182582[0:SSi:182559.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182583[0:SSi:182558.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.59  182690[0:Res:12638.1,53216.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)).
% 299.87/300.59  183423[0:Rew:1129.1,183386.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf57(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf48(c_fequal(v)))))*.
% 299.87/300.59  183425[0:Rew:1129.1,183381.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)))))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 299.87/300.59  183986[0:SpR:1073.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x)))))*.
% 299.87/300.59  184035[0:SSi:184034.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)))))*.
% 299.87/300.59  184037[0:SSi:184036.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)))))*.
% 299.87/300.59  184040[0:SSi:184039.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))*.
% 299.87/300.59  184254[0:SpL:1073.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))).
% 299.87/300.59  184298[0:SSi:184297.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),v))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),u)).
% 299.87/300.59  184565[0:Rew:1059.0,184508.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),v))))*.
% 299.87/300.59  185289[0:SpR:21749.1,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),v)),w)))*.
% 299.87/300.59  185285[0:SpR:21749.1,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),v)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.59  185282[0:SpR:21749.1,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(x)),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v))))*.
% 299.87/300.59  185272[0:SpR:21749.1,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),v)),w)),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(u,v))))*.
% 299.87/300.59  185419[0:MRR:185254.4,27417.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v),u)* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v),u) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v))).
% 299.87/300.59  185463[0:SpR:21752.1,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),x)),w)))*.
% 299.87/300.59  185459[0:SpR:21752.1,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.59  185456[0:SpR:21752.1,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(v)),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x)))*.
% 299.87/300.59  185446[0:SpR:21752.1,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),x)),w)),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x)))*.
% 299.87/300.59  185602[0:MRR:185428.4,27623.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w),u)* SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w),u) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w)).
% 299.87/300.59  185654[0:Res:1131.2,1051.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),x)).
% 299.87/300.59  185653[0:Res:1131.2,1045.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),x)).
% 299.87/300.59  185652[0:Res:1131.2,1050.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),c_Groups_Oone__class_Oone(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.59  185651[0:Res:1131.2,1044.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),c_Groups_Oone__class_Oone(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.59  185705[0:SpR:1683.1,1146.2] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w)))*.
% 299.87/300.59  185744[0:SpL:1683.1,1147.1] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),x)).
% 299.87/300.59  186020[0:Res:585.1,3663.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.59  186191[0:Rew:551.0,185921.1] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),v)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_COMBC(y,z,x1,u),v),x,w)),w)**.
% 299.87/300.59  186192[4:MRR:185977.2,10316.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Polynomial_Osmult(u),v),x,w)),w)**.
% 299.87/300.59  186199[0:MRR:185996.2,251.0] || SkP2(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(u,v),x,w)),w)**.
% 299.87/300.59  186435[0:Res:585.1,3661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w,v)),v)**.
% 299.87/300.59  186606[0:Rew:551.0,186336.1] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),v)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_COMBC(y,z,x1,u),v),x,w)),w)**.
% 299.87/300.59  186607[4:MRR:186392.2,10316.1] class_Rings_Oidom(u) || equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Polynomial_Osmult(u),v),x,w)),w)**.
% 299.87/300.59  186614[0:MRR:186411.2,251.0] || SkP2(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) SkP1(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(hAPP(hAPP(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(u,v),x,w)),w)**.
% 299.87/300.59  186803[0:Res:1143.1,1043.1] class_Rings_Olinordered__ring(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)).
% 299.87/300.59  186802[0:Res:1143.1,1063.1] class_Rings_Olinordered__ring(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)).
% 299.87/300.59  186801[0:Res:1143.1,1062.1] class_Rings_Olinordered__ring(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))))*.
% 299.87/300.59  186800[0:Res:1143.1,1042.1] class_Rings_Olinordered__ring(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))))*.
% 299.87/300.59  188065[0:Res:3664.0,12546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.59  188031[0:Res:3664.0,1907.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)),u)** equal(hAPP(c_Nat_OSuc,skf50(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.59  188014[0:Res:3664.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  187898[0:SpR:3664.2,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf68(w,v,x))),x))*.
% 299.87/300.59  187897[0:SpR:3664.2,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf68(w,v,x))),x))*.
% 299.87/300.59  187880[0:SpR:3664.2,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,u,x))))*.
% 299.87/300.59  187830[0:SpR:683.2,3664.0] class_Power_Opower(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Power_Opower__class_Opower(u),x),w,v)),v)**.
% 299.87/300.59  187798[0:SpR:609.2,3664.0] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),x),w,v)),v)**.
% 299.87/300.59  187746[0:SpR:616.2,3664.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(y) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,v)),x,w)),w)**.
% 299.87/300.59  187745[0:SpR:617.2,3664.0] class_Groups_Ozero(u) ||  -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,v)),x,w)),w)**.
% 299.87/300.59  188118[0:MRR:187706.2,27623.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x))) equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf68(w,u,c_Int_Onat__aux(skf48(c_fequal(v)),x))),c_Int_Onat__aux(skf48(c_fequal(v)),x))**.
% 299.87/300.59  188638[0:Res:3662.0,12546.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** equal(skf48(c_fequal(skf64(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.59  188604[0:Res:3662.0,1907.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)),u)** equal(hAPP(c_Nat_OSuc,skf50(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.59  188587[0:Res:3662.0,786.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 299.87/300.59  188471[0:SpR:3662.2,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf67(w,v,x))),x))*.
% 299.87/300.59  188470[0:SpR:3662.2,3764.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),skf67(w,v,x))),x))*.
% 299.87/300.59  188453[0:SpR:3662.2,3763.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,u,x))))*.
% 299.87/300.59  188403[0:SpR:683.2,3662.0] class_Power_Opower(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Power_Opower__class_Opower(u),x),w,v)),v)**.
% 299.87/300.59  188371[0:SpR:609.2,3662.0] class_Rings_Oring__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),x),w,v)),v)**.
% 299.87/300.59  188319[0:SpR:616.2,3662.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) -> hBOOL(y) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,v)),x,w)),w)**.
% 299.87/300.59  188318[0:SpR:617.2,3662.0] class_Groups_Ozero(u) ||  -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,y,v)),x,w)),w)**.
% 299.87/300.59  188691[0:MRR:188279.2,27623.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x))) equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf67(w,u,c_Int_Onat__aux(skf48(c_fequal(v)),x))),c_Int_Onat__aux(skf48(c_fequal(v)),x))**.
% 299.87/300.59  188977[0:SpR:1148.1,947.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x))),y),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),y)),x)))**.
% 299.87/300.59  189059[0:Rew:1148.1,189021.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf46(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),w))*.
% 299.87/300.59  189060[0:Rew:1148.1,189013.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf49(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))))),x))*.
% 299.87/300.59  189061[0:Rew:1148.1,189012.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(w,y)),w))*.
% 299.87/300.59  55231[0:SpR:745.1,891.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  55316[0:SpR:745.1,866.2] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))*.
% 299.87/300.59  55366[0:SpL:745.1,892.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  55449[0:SpL:745.1,867.1] class_Groups_Oab__group__add(u) class_Rings_Olinordered__idom(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 299.87/300.59  66665[0:SpR:947.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,y)),z),hAPP(c_Polynomial_Opoly(u,x1),x2)),hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,y,x1)),x2),hAPP(z,hAPP(c_Polynomial_Opoly(u,x1),x2))))*.
% 299.87/300.59  66666[0:SpR:947.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,z)),hAPP(c_Polynomial_Opoly(u,x1),x2)),hAPP(hAPP(y,hAPP(c_Polynomial_Opoly(u,x1),x2)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,z,x1)),x2)))*.
% 299.87/300.59  1718[0:Rew:1190.1,1493.1,1190.1,1493.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),y))))*.
% 299.87/300.59  1719[0:Rew:1194.1,1496.1,1194.1,1496.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y))))*.
% 299.87/300.59  1498[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),x)),w))**.
% 299.87/300.59  1497[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,v))),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,v))),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),w),v))**.
% 299.87/300.59  76419[0:SpR:1004.1,1672.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x),v)),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(c_Nat_OSuc,x)))**.
% 299.87/300.59  54566[0:SpR:745.1,893.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Polynomial_Omonom(u,v,w)))*.
% 299.87/300.59  55026[0:SpL:745.1,894.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Polynomial_Omonom(u,v,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  54941[0:SpR:745.1,864.2] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Polynomial_Omonom(u,v,w)))*.
% 299.87/300.59  55100[0:SpL:745.1,865.1] class_Groups_Oab__group__add(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)),c_Polynomial_Omonom(u,v,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w))).
% 299.87/300.59  64251[0:Res:918.2,870.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)))*.
% 299.87/300.59  73373[0:Res:954.2,920.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,v)),w),x)))* -> .
% 299.87/300.59  73692[0:Res:988.2,920.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x)))* -> .
% 299.87/300.59  63723[0:Res:916.2,870.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))*.
% 299.87/300.59  72588[0:SpR:1659.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1)),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1))))*.
% 299.87/300.59  72589[0:SpR:1659.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))))*.
% 299.87/300.59  1499[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),c_Polynomial_Opcompose(u,x,w))),c_Polynomial_Opcompose(u,hAPP(hAPP(c_Polynomial_OpCons(u),v),x),w))**.
% 299.87/300.59  76278[0:SpR:994.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_Osmult(u),y)),z),c_Polynomial_Omonom(u,x1,x2)),hAPP(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1),x2),hAPP(z,c_Polynomial_Omonom(u,x1,x2))))*.
% 299.87/300.59  76279[0:SpR:994.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_Osmult(u),z)),c_Polynomial_Omonom(u,x1,x2)),hAPP(hAPP(y,c_Polynomial_Omonom(u,x1,x2)),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1),x2)))*.
% 299.87/300.59  73604[0:Res:991.2,920.1] class_Lattices_Oboolean__algebra(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x)))* -> .
% 299.87/300.59  1491[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),w))* -> equal(hAPP(c_Polynomial_Opoly(u,w),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  1490[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),w))* -> equal(hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.59  72864[0:SpR:999.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1)),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1))))*.
% 299.87/300.59  72865[0:SpR:999.1,742.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),x1)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))))*.
% 299.87/300.59  62072[0:Rew:62042.1,62001.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),hAPP(hAPP(z,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),v))*.
% 299.87/300.59  62073[0:Rew:62042.1,62000.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)),hAPP(v,hAPP(z,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u))))*.
% 299.87/300.59  78723[0:Rew:1073.0,78621.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))))*.
% 299.87/300.59  78354[0:Rew:1078.0,78193.1] class_Lattices_Oab__semigroup__idem__mult(tc_Int_Oint) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))**.
% 299.87/300.59  1487[0:Inp] class_Rings_Oidom(u) ||  -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),c_Polynomial_Oorder(u,v,w))),w))*.
% 299.87/300.59  49680[0:SpR:816.1,734.3] class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),w))* equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),v))*.
% 299.87/300.59  19027[0:Rew:551.0,19008.0] || equal(hAPP(hAPP(u,skf35(hAPP(c_COMBC(v,w,x,u),y))),y),hAPP(hAPP(u,skf34(hAPP(c_COMBC(v,w,x,u),y))),y))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(z,x1,hAPP(c_COMBC(v,w,x,u),y))*.
% 299.87/300.59  42862[0:SpL:691.1,492.0] class_Groups_Ouminus(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),x),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(x,skf33(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),x),v))))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),x)).
% 299.87/300.59  42854[0:SpL:691.1,492.0] class_Groups_Ouminus(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf33(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v)))),hAPP(w,skf33(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v))))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(x,u)),v),w).
% 299.87/300.59  1492[0:Inp] class_Rings_Oidom(u) || equal(hAPP(c_Polynomial_Opoly(u,v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),v))*.
% 299.87/300.59  1489[0:Inp] class_Rings_Oidom(u) || equal(hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),v))*.
% 299.87/300.59  76819[0:SpR:551.0,963.2] || SkP2(hAPP(c_COMBC(u,v,w,x),y),z,x1)* SkP1(hAPP(c_COMBC(u,v,w,x),y),z,x1) -> hBOOL(hAPP(hAPP(hAPP(x,z),y),x1)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 299.87/300.59  76725[0:SpR:685.2,963.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) SkP2(hAPP(c_Polynomial_Osmult(u),v),w,x)* SkP1(hAPP(c_Polynomial_Osmult(u),v),w,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 299.87/300.59  76704[0:SpR:590.1,963.2] class_Rings_Oring__1(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),c_Int_Oring__1__class_Oof__int(u,v),w)* SkP1(c_Groups_Ouminus__class_Ouminus(u),c_Int_Oring__1__class_Oof__int(u,v),w) -> hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,v)),w)).
% 299.87/300.59  76985[0:SpR:837.1,963.2] class_Rings_Oring__1(u) || SkP2(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v),w)* SkP1(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v),w) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,v)),w)).
% 299.87/300.59  76786[0:SpR:505.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  76787[0:SpR:506.1,963.2] class_Groups_Oab__group__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  61236[0:Res:3763.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(c_Int_Onat__aux(skf48(c_fequal(u)),w),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)* -> equal(c_Int_Onat__aux(skf48(c_fequal(v)),w),c_Int_Onat__aux(skf48(c_fequal(x)),c_Int_Onat__aux(skf48(c_fequal(u)),w)))*.
% 299.87/300.59  59846[0:Res:3760.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(c_Int_Onat__aux(skf48(c_fequal(w)),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),x)* -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),c_Int_Onat__aux(skf48(c_fequal(x)),c_Int_Onat__aux(skf48(c_fequal(w)),u)))*.
% 299.87/300.59  60658[0:SpR:3762.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),y))),z),c_Int_Onat__aux(skf48(c_fequal(x1)),y)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),x1),hAPP(z,c_Int_Onat__aux(skf48(c_fequal(x1)),y))))*.
% 299.87/300.59  60659[0:SpR:3762.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(y)),z))),c_Int_Onat__aux(skf48(c_fequal(x1)),z)),hAPP(hAPP(x,c_Int_Onat__aux(skf48(c_fequal(x1)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),x1)))*.
% 299.87/300.59  69791[0:Rew:3724.0,69556.2] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),y)))*.
% 299.87/300.59  59978[0:SpR:3761.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y),c_Int_Onat__aux(skf48(c_fequal(z)),x1)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(x1)),z)),hAPP(y,c_Int_Onat__aux(skf48(c_fequal(z)),x1))))*.
% 299.87/300.59  59979[0:SpR:3761.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y)),c_Int_Onat__aux(skf48(c_fequal(z)),x1)),hAPP(hAPP(x,c_Int_Onat__aux(skf48(c_fequal(z)),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),c_Int_Onat__aux(skf48(c_fequal(x1)),z))))*.
% 299.87/300.59  69664[0:Res:725.2,3665.0] class_Rings_Olinordered__idom(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),y))* equal(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 299.87/300.59  69665[0:Res:724.2,3665.0] class_Orderings_Olinorder(u) || equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),y))* equal(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 299.87/300.59  76982[0:SpR:699.2,963.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) || SkP2(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),hAPP(c_Nat_OSuc,v))* SkP1(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u),hAPP(c_Nat_OSuc,v)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v)))*.
% 299.87/300.59  79012[0:Rew:1059.0,78845.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))))))*.
% 299.87/300.59  79011[0:Rew:1059.0,78852.1] class_Lattices_Oab__semigroup__idem__mult(tc_Nat_Onat) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))**.
% 299.87/300.59  80702[0:Res:579.1,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.59  43785[0:SpR:742.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(hAPP(c_COMBS(v,w,x),y),z),x1,hAPP(hAPP(y,x2),hAPP(z,x2))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(hAPP(c_COMBS(v,w,x),y),z),hAPP(c_Nat_OSuc,x1),x2))**.
% 299.87/300.59  55663[0:SpR:837.1,739.1] class_Rings_Oring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w)),x,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,x),y))**.
% 299.87/300.59  55519[0:SpR:852.1,739.1] class_Rings_Osemiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),x,c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),hAPP(c_Nat_OSuc,x),y))**.
% 299.87/300.60  45070[0:SpR:753.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.60  43667[0:SpR:687.1,739.1] class_Rings_Ocomm__ring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.60  44930[0:SpR:1657.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),x))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(c_Nat_OSuc,w),x))**.
% 299.87/300.60  48683[0:SpR:747.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,y))**.
% 299.87/300.60  72863[0:SpR:999.1,739.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)))**.
% 299.87/300.60  72587[0:SpR:1659.1,739.1] class_Rings_Oring(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)))**.
% 299.87/300.60  57416[0:SpR:1672.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),y,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,x)),hAPP(c_Nat_OSuc,y),w))**.
% 299.87/300.60  76277[0:SpR:994.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),x,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y),z)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),hAPP(c_Nat_OSuc,x),c_Polynomial_Omonom(u,y,z)))**.
% 299.87/300.60  76972[0:SpR:736.1,963.2] class_Rings_Osemiring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))* SkP1(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 299.87/300.60  76984[0:SpR:852.1,963.2] class_Rings_Osemiring__1(u) || SkP2(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),w)* SkP1(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),w) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(u,v)),w)).
% 299.87/300.60  77928[0:Rew:1079.0,77872.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,skf48(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))))))*.
% 299.87/300.60  1488[0:Inp] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),y)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 299.87/300.60  78722[0:Rew:1073.0,78622.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 299.87/300.60  79008[0:Rew:1059.0,78926.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.60  77927[0:Rew:1079.0,77873.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,skf47(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 299.87/300.60  77926[0:Rew:1079.0,77876.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf57(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf48(c_fequal(w)))))*.
% 299.87/300.60  78721[0:Rew:1073.0,78625.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf57(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(w)))))*.
% 299.87/300.60  79007[0:Rew:1059.0,78929.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf57(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf48(c_fequal(w)))))*.
% 299.87/300.60  76661[0:SpR:618.2,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w)* SkP1(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 299.87/300.60  69399[0:Res:3738.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 299.87/300.60  28507[0:SpL:618.2,441.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf34(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Ozero__class_Ozero(u))** -> equal(skf35(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))*.
% 299.87/300.60  41384[0:Res:1649.2,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u)))),u))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u))),u).
% 299.87/300.60  47672[0:Rew:691.1,47558.3,691.1,47558.1] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf62(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v),x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(c_Int_Onat,y))))*.
% 299.87/300.60  76060[0:Res:12638.1,969.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,v),w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Int_Onat,w)),v))*.
% 299.87/300.60  49984[0:SpR:748.2,1649.2] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Oplus__class_Oplus(u),w)))),w)** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.60  49842[0:SpR:752.2,1649.2] class_Groups_Ogroup__add(u) || equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Oplus__class_Oplus(u),w))),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.60  62071[0:Rew:62042.1,62031.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),u)))*.
% 299.87/300.60  72906[0:SpL:999.1,735.0] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.60  72630[0:SpL:1659.1,735.0] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.60  76293[0:SpL:994.1,735.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(c_Polynomial_Omonom(u,w,x),y)),c_Polynomial_Omonom(u,w,x)))*.
% 299.87/300.60  66684[0:SpL:947.1,735.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Polynomial_Opoly(u,w),x),y)),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 299.87/300.60  79009[0:Rew:1059.0,78917.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x)))* -> equal(w,x) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 299.87/300.60  48135[0:SpR:615.2,12638.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Oone__class_Oone(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.60  48185[0:SpR:613.2,12638.1] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(c_Int_Onat,v),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 299.87/300.60  48455[0:SpR:744.2,1649.2] class_Rings_Oidom(u) || equal(hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Polynomial_Osmult(u),w))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),v)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.60  54523[0:SpL:890.3,492.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v)),c_Groups_Ozero__class_Ozero(u))** -> equal(skf33(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))).
% 299.87/300.60  54509[0:SpL:890.3,492.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(hAPP(v,skf33(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(u))** -> equal(skf33(v,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v).
% 299.87/300.60  75693[0:Res:12638.1,976.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x))),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(w,y)),hAPP(hAPP(c_Int_Onat,x),y)))*.
% 299.87/300.60  51398[0:Res:740.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 299.87/300.60  41358[0:Res:1649.2,12546.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(skf48(c_fequal(skf64(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 299.87/300.60  1484[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),v)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)),w)).
% 299.87/300.60  77615[0:Res:12637.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),u))),u)**.
% 299.87/300.60  62406[0:SpR:21745.1,12637.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(c_Int_Onat,u),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u))),u)**.
% 299.87/300.60  78555[0:SpR:1073.0,12637.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))),w).
% 299.87/300.60  77838[0:SpR:1079.0,12637.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))),w).
% 299.87/300.60  52461[0:Res:779.2,839.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf62(c_Orderings_Oord__class_Oless(u,v),w)))* -> equal(skf62(c_Orderings_Oord__class_Oless(u,v),w),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.60  52462[0:Res:776.2,839.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf62(c_Orderings_Oord__class_Oless(u,v),w)))* -> equal(skf62(c_Orderings_Oord__class_Oless(u,v),w),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.60  52477[0:Res:740.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 299.87/300.60  168423[0:Res:579.1,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 299.87/300.60  170281[0:SpL:448.2,1007.1] class_Groups_Olinordered__ab__group__add(u) || equal(skf68(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(skf68(c_Groups_Ouminus__class_Ouminus(u),v,w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.60  170506[0:Rew:602.0,170363.2,602.0,170363.0] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(u,hAPP(v,skf68(hAPP(hAPP(c_COMBB(w,x,y),u),v),z,x1))))* -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3))))*.
% 299.87/300.60  170513[0:Rew:687.1,170336.3,687.1,170336.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.60  170669[0:SpL:448.2,1010.1] class_Groups_Olinordered__ab__group__add(u) || equal(skf67(c_Groups_Ouminus__class_Ouminus(u),v,w),c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(skf67(c_Groups_Ouminus__class_Ouminus(u),v,w))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.60  170895[0:Rew:602.0,170751.2,602.0,170751.0] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(u,hAPP(v,skf67(hAPP(hAPP(c_COMBB(w,x,y),u),v),z,x1))))* -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x2),x3))))*.
% 299.87/300.60  170902[0:Rew:687.1,170724.3,687.1,170724.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.60  170987[0:Res:1085.2,879.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.60  171746[0:Res:1080.2,879.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Oone__class_Oone(u)))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Oone__class_Oone(u)).
% 299.87/300.60  171919[0:Res:1077.2,879.1] class_Rings_Olinordered__semidom(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.60  172221[0:SpR:1093.1,739.1] class_Rings_Ocomm__ring(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w,hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(c_Nat_OSuc,w),hAPP(hAPP(c_Polynomial_Osmult(u),x),y)))**.
% 299.87/300.60  172324[0:SpL:1683.1,1003.1] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Polynomial_OpCons(u),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.60  172934[0:SpL:1065.1,384.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))))))*.
% 299.87/300.60  173222[0:SpL:1091.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf49(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 299.87/300.60  173792[0:Res:1083.2,879.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),c_Groups_Ozero__class_Ozero(u)).
% 299.87/300.60  174489[0:SpL:689.2,1006.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf68(c_Polynomial_Ocoeff(u,v),x,y)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 299.87/300.60  174462[0:SpL:609.2,1006.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf68(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.60  174423[0:SpL:686.1,1006.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf68(c_Polynomial_Opoly(u,v),w,x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.60  174592[0:Rew:741.1,174439.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.60  174818[0:SpL:689.2,1009.0] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf67(c_Polynomial_Ocoeff(u,v),x,y)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 299.87/300.60  174791[0:SpL:609.2,1009.0] class_Rings_Oring__no__zero__divisors(u) || equal(skf67(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.60  174752[0:SpL:686.1,1009.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf67(c_Polynomial_Opoly(u,v),w,x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 299.87/300.60  174922[0:Rew:741.1,174768.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 299.87/300.60  176378[0:Res:540.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* equal(x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),y,z)))*.
% 299.87/300.60  176286[0:SpL:689.2,1081.2] class_Groups_Ozero(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,x)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),y),z)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf41(c_Polynomial_Ocoeff(u,w),x1,x2)))*.
% 299.87/300.60  176275[0:SpL:683.2,1081.2] class_Power_Opower(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),y),skf41(hAPP(c_Power_Opower__class_Opower(u),y),z,x1)))*.
% 299.87/300.60  176245[0:SpL:609.2,1081.2] class_Rings_Oring__no__zero__divisors(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(u))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),y),z,x1)))*.
% 299.87/300.60  176201[0:SpL:393.1,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 299.87/300.60  176191[0:SpL:686.1,1081.2] class_Rings_Oidom(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,y),skf41(c_Polynomial_Opoly(u,y),z,x1)))*.
% 299.87/300.60  176175[0:SpL:448.2,1081.2] class_Groups_Olinordered__ab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(u))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf41(c_Groups_Ouminus__class_Ouminus(u),y,z)))*.
% 299.87/300.60  176470[0:Rew:741.1,176211.4] class_Groups_Oab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),y,z)))*.
% 299.87/300.60  176652[0:Res:1649.2,1051.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x)).
% 299.87/300.60  176936[0:Res:1649.2,1043.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x)).
% 299.87/300.60  78352[0:Rew:1078.0,78271.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf57(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf48(c_fequal(w)))))*.
% 299.87/300.60  78353[0:Rew:1078.0,78268.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 299.87/300.60  78198[0:SpR:1078.0,12637.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))),w).
% 299.87/300.60  177261[0:Res:1649.2,1045.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),x)).
% 299.87/300.60  177504[0:Res:1649.2,1063.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),x)).
% 299.87/300.60  177689[0:Res:1649.2,1050.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.87/300.60  177950[0:Res:1649.2,1062.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))))*.
% 299.87/300.60  178249[0:Res:1649.2,1044.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,v)))))*.
% 299.87/300.60  178515[0:Res:1649.2,1042.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))))*.
% 299.87/300.60  179917[0:SpL:1075.0,929.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),y))* -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),x),y).
% 299.87/300.60  179916[0:SpL:1075.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 299.87/300.60  179909[0:SpL:1075.0,1053.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)),y))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),y)).
% 299.87/300.60  179904[0:SpL:1075.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),y))).
% 299.87/300.60  179902[0:SpL:1075.0,1032.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x)),y)).
% 299.87/300.60  179901[0:SpL:1075.0,1031.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),y)).
% 299.87/300.60  179884[0:SpL:1075.0,1928.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)))* hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 299.87/300.60  179880[0:SpL:1075.0,1090.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y))),z))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y)),z)).
% 299.87/300.60  179861[0:SpL:1075.0,1094.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),x),hAPP(c_Nat_OSuc,y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** -> equal(x,c_Groups_Ozero__class_Ozero(u)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),x),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.60  179843[0:SpR:689.2,1075.0] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(hAPP(c_Polynomial_Ocoeff(u,w),x),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Ocoeff(u,v)),x),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Ocoeff(u,v)),x),hAPP(c_Nat_OSuc,x1)))**.
% 299.87/300.60  179832[0:SpR:683.2,1075.0] class_Power_Opower(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),y)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),y)),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.60  179807[0:SpR:3736.0,1075.0] ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.60  179764[0:SpR:609.2,1075.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),y)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),y)),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.60  179759[0:SpR:608.2,1075.0] class_Rings_Oring__no__zero__divisors(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),y),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.60  179742[0:SpR:444.1,1075.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.60  179736[0:SpR:613.2,1075.0] class_Groups_Olinordered__ab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),v),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.60  179729[0:SpR:443.1,1075.0] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),v),hAPP(c_Nat_OSuc,y)))*.
% 299.87/300.60  179694[0:SpR:496.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Polynomial_Osmult(u),x)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Polynomial_Osmult(u),x)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.60  179682[0:SpR:615.2,1075.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(v,c_Groups_Oone__class_Oone(u)) -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),hAPP(c_Nat_OSuc,y)))**.
% 299.87/300.60  179673[0:SpR:686.1,1075.0] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(u,w)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(u,w)),v),hAPP(c_Nat_OSuc,z)))**.
% 299.87/300.60  179605[0:SpR:1075.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(v,w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Power_Opower_Opower(y,z,v),w),x1)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(v,w),x,hAPP(hAPP(c_Power_Opower_Opower(y,z,v),w),hAPP(c_Nat_OSuc,x1))))**.
% 299.87/300.60  179603[0:SpR:1075.0,1082.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),y),z))),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),y),hAPP(c_Nat_OSuc,z))))**.
% 299.87/300.60  179600[0:SpR:1075.0,1088.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),y),z))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),y),hAPP(c_Nat_OSuc,z))))*.
% 299.87/300.60  179595[0:SpR:1075.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),x),y))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),x),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  179594[0:SpR:1075.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  179593[0:SpR:1075.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),y))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))*.
% 299.87/300.60  179588[0:SpR:1075.0,1913.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),y))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  179586[0:SpR:1075.0,1079.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Int_Oint)),u),x)),y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x))),y))**.
% 299.87/300.60  179572[0:SpR:1075.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),y))))*.
% 299.87/300.60  179569[0:SpR:1075.0,1017.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  179566[0:SpR:1075.0,1016.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),x)),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))))*.
% 299.87/300.60  179564[0:SpR:1075.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),y))))*.
% 299.87/300.60  179563[0:SpR:1075.0,1074.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.60  179559[0:SpR:1075.0,1073.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),x)),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x))),y))**.
% 299.87/300.60  179558[0:SpR:1075.0,1078.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),x)),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),u),hAPP(c_Nat_OSuc,x))),y))**.
% 299.87/300.60  179557[0:SpR:1075.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),y))))*.
% 299.87/300.60  179556[0:SpR:1075.0,1059.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),x)),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x))),y))**.
% 299.87/300.60  179539[0:SpR:1075.0,1028.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  179524[0:SpR:1075.0,1026.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x)),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y)))*.
% 299.87/300.60  179511[0:SpR:1075.0,1049.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),v),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),v),hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  179509[0:SpR:1075.0,1076.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),w),x)),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),y)))*.
% 299.87/300.60  179484[0:SpR:1075.0,1064.1] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.60  179483[0:SpR:1075.0,1689.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(u)),v),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.60  179479[0:SpR:1075.0,1093.1] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.60  179934[0:Rew:179483.1,179485.1] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),hAPP(c_Nat_OSuc,y))),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(u)),x),hAPP(c_Nat_OSuc,y))))**.
% 299.87/300.60  180195[0:SpL:179332.0,12641.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) equal(u,skf48(c_fequal(x))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),w),v)),x))*.
% 299.87/300.60  181458[0:SpL:1098.1,12538.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,skf48(w))),hAPP(x,skf48(w))))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),skf60(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x))))*.
% 299.87/300.60  181457[0:SpL:1098.1,16218.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,skf47(w))),hAPP(x,skf47(w))))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),skf60(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x))))*.
% 299.87/300.60  181456[0:SpL:1098.1,4192.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(w,c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w),skf60(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w))))*.
% 299.87/300.60  181454[0:SpL:1098.1,4191.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w),skf60(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w))))*.
% 299.87/300.60  181453[0:SpL:1098.1,12380.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,skf57(w))),hAPP(x,skf57(w))))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),skf60(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x))))*.
% 299.87/300.60  181452[0:SpL:1098.1,12183.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,skf60(w))),hAPP(x,skf60(w))))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),skf60(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x))))*.
% 299.87/300.60  181450[0:SpL:1098.1,12641.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,hAPP(c_Int_Onat,w))),hAPP(x,hAPP(c_Int_Onat,w))))* equal(w,skf48(c_fequal(y)))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),v),x),y))*.
% 299.87/300.60  181447[0:SpL:1098.1,384.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),hAPP(c_Int_Onat,skf48(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x)))))*.
% 299.87/300.60  181422[0:SpR:744.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Polynomial_Osmult(u),y)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(z,w)))**.
% 299.87/300.60  181409[0:SpR:1657.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),y))),hAPP(x,y)))*.
% 299.87/300.60  181391[0:SpR:682.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),x),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),y)),hAPP(x,hAPP(c_Nat_OSuc,y))))*.
% 299.87/300.60  181387[0:SpR:601.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w)),x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),y)),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))))*.
% 299.87/300.60  181333[0:SpR:753.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),w))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),y))),hAPP(x,y)))*.
% 299.87/300.60  181320[0:SpR:752.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(z,w)))**.
% 299.87/300.60  181301[0:SpR:748.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Oplus__class_Oplus(u),w)),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(z,x)))**.
% 299.87/300.60  181298[0:SpR:614.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_OpCons(u),x)),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Polynomial_Omonom(u,x,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))**.
% 299.87/300.60  181188[0:SpR:744.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Polynomial_Osmult(u),z)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))**.
% 299.87/300.60  181175[0:SpR:1657.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),y))))*.
% 299.87/300.60  181157[0:SpR:682.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x))),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 299.87/300.60  181153[0:SpR:601.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x),y)))*.
% 299.87/300.60  181099[0:SpR:753.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),x))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),y))))*.
% 299.87/300.60  181086[0:SpR:752.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Oplus__class_Oplus(u),x)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.60  181067[0:SpR:748.2,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Oplus__class_Oplus(u),w)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),c_Groups_Ozero__class_Ozero(u)))**.
% 299.87/300.60  181064[0:SpR:614.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_OpCons(u),y)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),c_Polynomial_Omonom(u,y,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))**.
% 299.87/300.60  181614[0:Rew:1118.1,181565.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf57(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf48(c_fequal(x)))))*.
% 299.87/300.60  181615[0:Rew:1118.1,181560.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,skf47(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 299.87/300.60  181616[0:Rew:1118.1,181557.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))))*.
% 299.87/300.60  181760[0:Rew:1114.1,181723.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf57(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf48(c_fequal(x)))))*.
% 299.87/300.60  181761[0:Rew:1114.1,181718.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,skf47(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)))*.
% 299.87/300.60  181762[0:Rew:1114.1,181715.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))))*.
% 299.87/300.60  181864[0:SpR:1120.3,963.2] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* SkP2(c_Polynomial_OpCons(u),y,w)* SkP1(c_Polynomial_OpCons(u),y,w) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),w))*.
% 299.87/300.60  182367[0:SpL:957.1,1892.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.60  182537[0:SpL:957.1,1890.1] class_Rings_Oring__1(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),u))),c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,u)))* -> equal(c_Int_Oring__1__class_Oof__int(tc_Nat_Onat,v),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 299.87/300.60  182783[0:Res:1706.2,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Int_Onat,v),w)),hAPP(c_Int_Onat,v)))*.
% 299.87/300.60  183348[0:SpR:1129.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))),z),hAPP(hAPP(y,z),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),z))))*.
% 299.87/300.60  183347[0:SpR:1129.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))),y),z),hAPP(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),z)),hAPP(y,z)))*.
% 299.87/300.60  183450[18:MRR:183449.1,111803.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf62(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Int_Onat,w))))*.
% 299.87/300.60  185331[0:SpR:3705.1,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(c_Nat_OSuc,skf52(u,v)))) -> equal(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(w,hAPP(c_Nat_OSuc,skf52(u,v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 299.87/300.60  185300[0:SpR:21749.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x1)),v))),u),hAPP(hAPP(z,u),c_Int_Onat__aux(skf48(c_fequal(x1)),skf44(u,v))))*.
% 299.87/300.60  185299[0:SpR:21749.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(z)),v))),x1),u),hAPP(c_Int_Onat__aux(skf48(c_fequal(z)),skf44(u,v)),hAPP(x1,u)))*.
% 299.87/300.60  185474[0:SpR:21752.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),z),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),x1))),u),hAPP(hAPP(z,u),c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),x1)))*.
% 299.87/300.60  185473[0:SpR:21752.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(w,x,y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),z))),x1),u),hAPP(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),z),hAPP(x1,u)))*.
% 299.87/300.60  185766[0:Res:12637.0,1147.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v))),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),x),hAPP(c_Int_Onat,v))).
% 299.87/300.60  186008[0:Res:576.2,3663.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),x,w)),w)**.
% 299.87/300.60  186194[4:MRR:185917.2,10316.1] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.60  186195[4:MRR:185885.2,10316.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.60  186197[0:Rew:602.0,185992.1] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(hAPP(c_COMBB(y,z,x1),u),v),x,w)),w)**.
% 299.87/300.60  186201[0:Rew:852.1,185982.2,302.1,185982.1,27252.0,185982.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),x,w)),w)**.
% 299.87/300.60  186423[0:Res:576.2,3661.0] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),x,w)),w)**.
% 299.87/300.60  186609[4:MRR:186332.2,10316.1] class_Groups_Olinordered__ab__group__add(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.60  186610[4:MRR:186300.2,10316.1] class_Rings_Oring__1__no__zero__divisors(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w,v)),v)**.
% 299.87/300.60  186612[0:Rew:602.0,186407.1] || hBOOL(hAPP(u,hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(u,hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(hAPP(c_COMBB(y,z,x1),u),v),x,w)),w)**.
% 299.87/300.60  186616[0:Rew:852.1,186397.2,302.1,186397.1,27252.0,186397.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),x,w)),w)**.
% 299.87/300.60  186903[0:SpR:1120.3,1124.3] class_Groups_Ozero(u) class_Rings_Olinordered__idom(u) || equal(v,w)* equal(x,y)* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),y))* equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Polynomial_OpCons(u),x),v))*.
% 299.87/300.60  188038[0:Res:3664.0,12554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.60  188016[0:Res:3664.0,12634.1] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w,v)),v)** hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.60  188009[0:Res:3664.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.60  188006[0:Res:3664.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.60  187974[0:Res:3664.0,870.1] class_Orderings_Oord(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(tc_fun(x,u),y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.60  187920[0:SpL:3664.2,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf68(u,v,w)),w))* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf68(u,v,w)),v))*.
% 299.87/300.60  187850[0:SpR:3664.2,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf68(u,v,w)),v))* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf68(u,v,w)),w))*.
% 299.87/300.60  187844[0:SpR:689.2,3664.0] class_Groups_Ozero(u) || equal(v,w)* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Ocoeff(u,v),y,x)),x)**.
% 299.87/300.60  187842[0:SpR:691.1,3664.0] class_Groups_Ouminus(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),v),x,w)),w)**.
% 299.87/300.60  187800[0:SpR:687.1,3664.0] class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 299.87/300.60  187764[0:SpR:741.1,3664.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.60  187742[0:SpR:686.1,3664.0] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Opoly(u,x),w,v)),v)**.
% 299.87/300.60  187732[0:SpR:690.2,3664.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.60  188611[0:Res:3662.0,12554.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 299.87/300.60  188589[0:Res:3662.0,12634.1] || hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w,v)),v)** hBOOL(hAPP(u,skf48(c_fequal(skf59(u)))))*.
% 299.87/300.60  188582[0:Res:3662.0,875.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),w))*.
% 299.87/300.60  188579[0:Res:3662.0,873.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),w))*.
% 299.87/300.60  188547[0:Res:3662.0,870.1] class_Orderings_Oord(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(tc_fun(x,u),y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 299.87/300.60  188493[0:SpL:3662.2,3713.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf67(u,v,w)),w))* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf67(u,v,w)),v))*.
% 299.87/300.60  188423[0:SpR:3662.2,3714.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf67(u,v,w)),v))* -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf67(u,v,w)),w))*.
% 299.87/300.60  188417[0:SpR:689.2,3662.0] class_Groups_Ozero(u) || equal(v,w)* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Ocoeff(u,v),y,x)),x)**.
% 299.87/300.60  188415[0:SpR:691.1,3662.0] class_Groups_Ouminus(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),v),x,w)),w)**.
% 299.87/300.60  188373[0:SpR:687.1,3662.0] class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 299.87/300.60  188337[0:SpR:741.1,3662.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.60  188315[0:SpR:686.1,3662.0] class_Rings_Oidom(u) ||  -> equal(c_Polynomial_Oorder(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Opoly(u,x),w,v)),v)**.
% 299.87/300.60  188305[0:SpR:690.2,3662.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 299.87/300.60  188815[0:SSi:188798.0,133.1] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 299.87/300.60  188989[0:SpR:1148.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),z),x1))),x2),hAPP(hAPP(y,x2),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,z),x2)),x1)))*.
% 299.87/300.60  188988[0:SpR:1148.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),y),z))),x1),x2),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,y),x2)),z),hAPP(x1,x2)))*.
% 299.87/300.60  189063[0:Rew:1148.1,189038.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf48(w))),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))))),x))*.
% 299.87/300.60  189064[0:Rew:1148.1,189030.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf47(w))),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))))),x))*.
% 299.87/300.60  189065[0:Rew:1148.1,189029.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Oone__class_Oone(tc_Int_Oint))),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))),w))*.
% 299.87/300.60  189066[0:Rew:1148.1,189025.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))),w))*.
% 299.87/300.60  189067[0:Rew:1148.1,189023.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf57(w))),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))))),x))*.
% 299.87/300.60  189068[0:Rew:1148.1,189020.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(w))),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf60(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))))),x))*.
% 299.87/300.60  1507[0:Inp] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(v,w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(u))))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),skf42(x,u,v))))*.
% 299.87/300.60  75685[0:Res:954.2,976.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(u,v)),w),x),y)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),y)))*.
% 299.87/300.60  75688[0:Res:988.2,976.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x),y)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),y)))*.
% 299.87/300.60  66520[0:Res:932.2,920.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))* -> .
% 299.87/300.60  66525[0:Res:934.2,920.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w)))* -> .
% 299.87/300.60  76034[0:Res:988.2,969.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.60  76031[0:Res:954.2,969.1] class_Groups_Oordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),c_Groups_Ozero__class_Ozero(u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w))).
% 299.87/300.60  75689[0:Res:991.2,976.1] class_Lattices_Oboolean__algebra(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x),y)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),y)))*.
% 299.87/300.60  76035[0:Res:991.2,969.1] class_Lattices_Oboolean__algebra(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 299.87/300.60  79491[0:Res:1076.1,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)).
% 299.87/300.60  65813[0:SpR:931.1,742.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1)),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1),hAPP(z,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x1))))*.
% 299.87/300.60  65814[0:SpR:931.1,742.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)))*.
% 300.02/300.60  76711[0:SpR:616.2,963.2] class_Groups_Ozero(u) || equal(v,w) SkP2(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w,y)* SkP1(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v)),w,y) -> hBOOL(hAPP(x,y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),y)).
% 300.02/300.60  76712[0:SpR:617.2,963.2] class_Groups_Ozero(u) || SkP2(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y)* SkP1(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y) -> equal(w,x) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  76795[0:SpR:744.2,963.2] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) SkP2(hAPP(c_Polynomial_Osmult(u),w),v,x)* SkP1(hAPP(c_Polynomial_Osmult(u),w),v,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 300.02/300.60  76807[0:SpR:752.2,963.2] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),w),v,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 300.02/300.60  76805[0:SpR:748.2,963.2] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76922[0:SpR:814.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP1(c_Groups_Ominus__class_Ominus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 300.02/300.60  76975[0:SpR:812.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 300.02/300.60  76976[0:SpR:813.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 300.02/300.60  76977[0:SpR:815.1,963.2] class_Rings_Ocomm__ring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))*.
% 300.02/300.60  77023[0:Res:963.2,940.1] class_Rings_Ocomm__ring__1(u) || SkP2(c_Rings_Odvd__class_Odvd(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP1(c_Rings_Odvd__class_Odvd(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)).
% 300.02/300.60  76741[0:SpR:496.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)* SkP1(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)).
% 300.02/300.60  76773[0:SpR:553.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  76793[0:SpR:12933.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))),v,w) SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))),v,w) -> hBOOL(hAPP(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  77020[0:Res:963.2,938.1] class_Rings_Ocomm__ring__1(u) || SkP2(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)* SkP1(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)).
% 300.02/300.60  69638[0:Res:779.2,3665.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),y))*.
% 300.02/300.60  69639[0:Res:776.2,3665.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),y))*.
% 300.02/300.60  80323[0:Res:1017.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)).
% 300.02/300.60  70648[0:Rew:1685.1,70575.3] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),x)))*.
% 300.02/300.60  80453[0:Res:1016.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)).
% 300.02/300.60  80099[0:Res:1026.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)).
% 300.02/300.60  79940[0:Res:1028.1,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)).
% 300.02/300.60  77019[0:Res:963.2,12958.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u)),skf48(c_fequal(v))) SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),skf48(c_fequal(u)),skf48(c_fequal(v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(c_fequal(u))),skf48(c_fequal(v))))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)).
% 300.02/300.60  79022[4:MRR:79021.0,8759.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.60  62401[0:SpR:21745.1,739.1] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),x,hAPP(c_Nat_OSuc,skf44(v,w))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x),v))**.
% 300.02/300.60  79127[0:SpR:1074.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),y)))**.
% 300.02/300.60  66579[0:SpR:3723.1,739.1] class_Rings_Osemiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),x,c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(w)),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),hAPP(c_Nat_OSuc,x),c_Nat_Osemiring__1__class_Oof__nat(u,y)))**.
% 300.02/300.60  76913[0:SpR:682.0,963.2] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u),hAPP(c_Nat_OSuc,v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v)))*.
% 300.02/300.60  76740[0:SpR:444.1,963.2] class_Groups_Ocomm__monoid__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)).
% 300.02/300.60  69541[0:SpL:615.2,3665.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 300.02/300.60  69597[0:SpL:613.2,3665.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 300.02/300.60  78599[0:SpL:1073.0,968.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Groups_Oone__class_Oone(tc_Int_Oint)))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) equal(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)).
% 300.02/300.60  77030[0:Res:963.2,383.0] || SkP2(u,v,hAPP(c_Int_Onat,skf47(hAPP(u,v))))* SkP1(u,v,hAPP(c_Int_Onat,skf47(hAPP(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Int_Onat,skf47(hAPP(u,v)))))* hBOOL(hAPP(hAPP(u,v),w))*.
% 300.02/300.60  62438[0:SpL:21745.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf48(c_fequal(v))))*.
% 300.02/300.60  41087[0:SpL:690.2,441.0] class_Rings_Ocomm__semiring__1(u) || equal(skf35(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf34(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Oone__class_Oone(u))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))*.
% 300.02/300.60  48322[0:Rew:742.0,48193.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(u,hAPP(c_Int_Onat,w)),hAPP(v,hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(hAPP(c_COMBS(x,y,z),u),v),w))),w)**.
% 300.02/300.60  50538[0:Res:779.2,805.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf62(c_Orderings_Oord__class_Oless(u,v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf62(c_Orderings_Oord__class_Oless(u,v),w),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))*.
% 300.02/300.60  50447[0:Res:776.2,805.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf62(c_Orderings_Oord__class_Oless(u,v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf62(c_Orderings_Oord__class_Oless(u,v),w),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Int_Onat,x)))*.
% 300.02/300.60  50012[0:SpL:748.2,805.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),v)** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x)))*.
% 300.02/300.60  49870[0:SpL:752.2,805.1] class_Groups_Ogroup__add(u) || equal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x)))*.
% 300.02/300.60  48249[0:Res:12638.1,786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Int_Onat,v))).
% 300.02/300.60  73988[0:Res:12638.1,987.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w))),v))*.
% 300.02/300.60  74154[0:Res:12638.1,971.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w))),v))*.
% 300.02/300.60  55743[0:Rew:837.1,55665.1] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w))),w)**.
% 300.02/300.60  58474[0:Res:1649.2,870.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),hAPP(c_Nat_OSuc,skf55(x,c_Orderings_Oord__class_Oless(tc_fun(v,u),w)))))*.
% 300.02/300.60  77716[0:SpL:3724.0,1012.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)).
% 300.02/300.60  65707[0:Res:12638.1,938.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Int_Onat,w))).
% 300.02/300.60  80326[0:Res:1017.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))*.
% 300.02/300.60  79494[0:Res:1076.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),v)))*.
% 300.02/300.60  79760[0:Res:1049.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 300.02/300.60  79943[0:Res:1028.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 300.02/300.60  80102[0:Res:1026.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 300.02/300.60  80456[0:Res:1016.1,735.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)))*.
% 300.02/300.60  41367[0:Res:1649.2,12554.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))),hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))**.
% 300.02/300.60  54524[0:SpL:890.3,12635.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v))*.
% 300.02/300.60  1505[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),u)** -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 300.02/300.60  79107[0:SpR:1074.0,2543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))),c_Int_Onat__aux(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Nat_Onat)))**.
% 300.02/300.60  51376[0:Res:779.2,12635.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(u,v))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(u,v)))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 300.02/300.60  51377[0:Res:776.2,12635.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(u,v))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(u,v)))),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))*.
% 300.02/300.60  67487[0:Res:12638.1,964.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Int_Onat,v))).
% 300.02/300.60  78260[0:SpL:1078.0,966.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)).
% 300.02/300.60  54520[0:SpL:890.3,839.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf62(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  48474[0:SpL:744.2,805.1] class_Rings_Oidom(u) || equal(skf62(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Int_Onat,x)))*.
% 300.02/300.60  170025[0:SpL:10145.1,925.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w))** -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(u,v) equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf50(w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 300.02/300.60  169984[0:SpR:10145.1,739.1] class_Rings_Osemiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),skf50(v))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),v)))**.
% 300.02/300.60  170217[0:Res:1913.2,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),v)))*.
% 300.02/300.60  171756[0:Res:1080.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  171931[0:Res:1077.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  172138[0:Res:1035.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  172258[0:SpL:1093.1,940.1] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))).
% 300.02/300.60  172254[0:SpL:1093.1,938.1] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)).
% 300.02/300.60  172215[0:SpR:1093.1,939.2] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))*.
% 300.02/300.60  172198[0:SpR:1093.1,937.2] class_Rings_Ocomm__ring(u) class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x))*.
% 300.02/300.60  172299[0:SpR:1683.1,739.1] class_Rings_Ocomm__ring(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),x,hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_Osmult(u),w),hAPP(c_Nat_OSuc,x),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y)))**.
% 300.02/300.60  172451[0:SpR:1064.1,739.1] class_Power_Opower(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,y))))**.
% 300.02/300.60  172656[0:SpR:1689.1,739.1] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),y)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,y))))**.
% 300.02/300.60  172945[0:SpL:1065.1,12538.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf48(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf48(v)),w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf48(v)),w)))))*.
% 300.02/300.60  172944[0:SpL:1065.1,16218.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf47(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf47(v)),w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf47(v)),w)))))*.
% 300.02/300.60  172943[0:SpL:1065.1,4192.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))))*.
% 300.02/300.60  172941[0:SpL:1065.1,4191.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)))))*.
% 300.02/300.60  172940[0:SpL:1065.1,12380.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf57(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf57(v)),w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf57(v)),w)))))*.
% 300.02/300.60  172939[0:SpL:1065.1,12183.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),skf60(v)),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf60(v)),w)),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),skf60(v)),w)))))*.
% 300.02/300.60  173089[0:SpR:1091.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(c_Nat_OSuc,x),w))**.
% 300.02/300.60  173805[0:Res:1083.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 300.02/300.60  174238[0:Res:1040.2,735.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)))*.
% 300.02/300.60  174504[0:Res:585.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w)))* -> equal(skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174502[0:Res:579.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)))* -> equal(skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174415[0:SpL:618.2,1006.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf68(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174591[0:Rew:691.1,174487.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf68(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v),x,y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  174833[0:Res:585.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w)))* -> equal(skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174831[0:Res:579.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w)))* -> equal(skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v,w),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174744[0:SpL:618.2,1009.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf67(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174921[0:Rew:691.1,174816.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf67(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v),x,y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  175075[0:Res:1087.2,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 300.02/300.60  175326[0:Res:1088.2,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))*.
% 300.02/300.60  176325[0:Res:585.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> equal(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),y,z)))*.
% 300.02/300.60  176183[0:SpL:618.2,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf41(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),y,z)))*.
% 300.02/300.60  176469[0:Rew:691.1,176284.4] class_Groups_Ouminus(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,skf41(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(z,u)),w),x1,x2))))*.
% 300.02/300.60  48319[0:Rew:753.0,48178.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,v))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))),v).
% 300.02/300.60  76953[0:SpR:753.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)).
% 300.02/300.60  48321[0:Rew:1657.0,48174.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,v))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))),v).
% 300.02/300.60  76949[0:SpR:1657.0,963.2] || SkP2(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) SkP1(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u),v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)).
% 300.02/300.60  178951[0:SpR:1092.2,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),x),y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 300.02/300.60  178863[0:SpR:1092.2,739.1] class_Rings_Oidom(u) class_Rings_Osemiring__1(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,y),w),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x)))*.
% 300.02/300.60  179225[0:SpR:1082.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Nat_OSuc,x),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),w),x,hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,w,z)),y)))*.
% 300.02/300.60  179887[0:SpL:1075.0,938.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Nat_OSuc,y))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),y)))*.
% 300.02/300.60  179743[0:SpR:551.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(u,v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_COMBC(z,x1,x2,u),w)),v),x3)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_COMBC(z,x1,x2,u),w)),v),hAPP(c_Nat_OSuc,x3)))**.
% 300.02/300.60  179731[0:SpR:505.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),x),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179730[0:SpR:506.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),x),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179687[0:SpR:685.2,1075.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_Osmult(u),v)),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_Osmult(u),v)),y),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179636[0:SpR:618.2,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179545[0:SpR:1075.0,937.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y)))* -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Rings_Odvd__class_Odvd(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y))).
% 300.02/300.60  179997[0:SpL:1075.0,1929.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)) equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Nat_Onat)),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 300.02/300.60  180191[0:SpL:179332.0,51176.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),skf49(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)))))*.
% 300.02/300.60  180170[0:SpR:1075.0,179332.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x)),y)),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),c_Int_Onat__aux(skf48(c_fequal(y)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Power_Opower__class_Opower(tc_Int_Oint)),w),x))))**.
% 300.02/300.60  180236[0:SSi:180150.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w),x),u)),v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),c_Int_Onat__aux(skf48(c_fequal(x)),w)))**.
% 300.02/300.60  180622[0:SpR:1700.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(c_Int_Onat,v))),v))),v)**.
% 300.02/300.60  181473[0:SpL:1098.1,735.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(x,y),z)),hAPP(x,y)))*.
% 300.02/300.60  181427[0:SpR:852.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181426[0:SpR:837.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181425[0:SpR:742.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(w,x)),y),hAPP(z,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(hAPP(c_COMBS(x1,x2,x3),w),z),x)),hAPP(y,hAPP(z,x))))*.
% 300.02/300.60  181421[0:SpR:890.3,1098.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Groups_Ominus(v) ||  -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),y),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(y,w)))**.
% 300.02/300.60  181415[0:SpR:736.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))),x),c_Nat_Osemiring__1__class_Oof__nat(u,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,y))),hAPP(x,c_Nat_Osemiring__1__class_Oof__nat(u,y))))*.
% 300.02/300.60  181356[0:SpR:902.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),hAPP(z,x)))*.
% 300.02/300.60  181292[0:SpR:699.2,1098.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),x),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Ozero__class_Ozero(u)),hAPP(x,hAPP(c_Nat_OSuc,y))))**.
% 300.02/300.60  181219[0:SpR:1672.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,y))),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),hAPP(c_Nat_OSuc,y))),hAPP(z,x)))**.
% 300.02/300.60  181193[0:SpR:852.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  181192[0:SpR:837.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),y),z))))*.
% 300.02/300.60  181191[0:SpR:742.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(x,y)),hAPP(z,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(z,y))),hAPP(hAPP(hAPP(c_COMBS(x1,x2,x3),x),z),y)))*.
% 300.02/300.60  181187[0:SpR:890.3,1098.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Groups_Ominus(v) ||  -> equal(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,v)),y),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(y,w)),c_Groups_Ozero__class_Ozero(u)))**.
% 300.02/300.60  181181[0:SpR:736.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))),c_Nat_Osemiring__1__class_Oof__nat(u,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Nat_Osemiring__1__class_Oof__nat(u,y))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,y))))*.
% 300.02/300.60  181122[0:SpR:902.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,x) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Otimes__class_Otimes(u),x)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 300.02/300.60  181058[0:SpR:699.2,1098.1] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Nat_OSuc,y))),c_Groups_Ozero__class_Ozero(u)))**.
% 300.02/300.60  180985[0:SpR:1672.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,z))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,z))))**.
% 300.02/300.60  180955[0:SpR:1098.1,742.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(z,x1))),hAPP(x2,x1)),hAPP(hAPP(y,hAPP(x2,x1)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x3,u)),z),x2),x1)))*.
% 300.02/300.60  180954[0:SpR:1098.1,742.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,z))),x1),hAPP(x2,z)),hAPP(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x3,u)),y),x2),z),hAPP(x1,hAPP(x2,z))))*.
% 300.02/300.60  180951[0:SpR:1098.1,12638.1] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),c_Int_Onat),w))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),w))),w)**.
% 300.02/300.60  181545[0:SpR:1075.0,1118.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),y)),z)),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),hAPP(c_Nat_OSuc,y))),z))**.
% 300.02/300.60  181530[0:SpR:1118.1,12637.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))),x).
% 300.02/300.60  181703[0:SpR:1075.0,1114.1] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),y)),z)),hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),v),hAPP(c_Nat_OSuc,y))),z))**.
% 300.02/300.60  181688[0:SpR:1114.1,12637.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))),x).
% 300.02/300.60  181880[0:SpR:1120.3,12637.0] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,w))* equal(x,y)* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_OpCons(u),y),w))),w)**.
% 300.02/300.60  181865[0:SpR:1120.3,1075.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),y),z)) equal(x1,y) -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),x1),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),y),hAPP(c_Nat_OSuc,z)))*.
% 300.02/300.60  182366[0:SpL:1660.1,1892.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  182365[0:SpL:997.1,1892.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  182415[0:SSi:182380.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),hAPP(c_Nat_OSuc,v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))* -> equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  182543[0:SpL:1659.1,1890.1] class_Rings_Oring(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  182542[0:SpL:999.1,1890.1] class_RealVector_Oreal__normed__algebra(tc_Nat_Onat) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),u))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Nat_Onat),u)))* -> equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  182585[0:SSi:182544.0,83.0,70.0,64.0,99.0,94.0,84.0,82.0,76.0,74.0,72.0,68.0,89.0,69.0,66.0,85.0,78.0,77.0,75.0,1.0,96.0,92.0,71.0,62.0,91.0,100.0,61.0,95.0,87.0,63.0,88.0,97.0,90.0,79.0,67.0,86.0,65.0,93.0,98.0,73.0,81.0,80.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Polynomial_Opoly(tc_Nat_Onat,c_Polynomial_Omonom(tc_Nat_Onat,w,v)),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  184038[0:SSi:183964.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)))))*.
% 300.02/300.60  184296[0:SSi:184232.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(c_Nat_OSuc,v)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w)).
% 300.02/300.60  184533[0:Res:1139.1,1900.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)))*.
% 300.02/300.60  185383[0:SpL:21749.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(skf48(u),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)))))*.
% 300.02/300.60  185375[0:SpL:21749.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(skf47(u),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)))))*.
% 300.02/300.60  185374[0:SpL:21749.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(c_Groups_Oone__class_Oone(tc_Int_Oint),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)))))*.
% 300.02/300.60  185372[0:SpL:21749.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),u)))))*.
% 300.02/300.60  185370[0:SpL:21749.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(skf57(u),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)))))*.
% 300.02/300.60  185367[0:SpL:21749.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(skf60(u),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)))))*.
% 300.02/300.60  185365[0:SpL:21749.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(c_Int_Onat,u),v)))* equal(u,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))*.
% 300.02/300.60  185340[0:SpR:3709.1,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),u))**.
% 300.02/300.60  185275[0:SpR:21749.1,3761.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),u)),c_Int_Onat__aux(skf48(c_fequal(x)),skf44(c_Int_Onat__aux(skf48(c_fequal(u)),v),w)))**.
% 300.02/300.60  185418[0:Rew:276.0,185278.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(c_Nat_OSuc,u),v))),c_Int_Onat__aux(skf48(c_fequal(w)),v)))*.
% 300.02/300.60  185557[0:SpL:21752.1,12538.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(skf48(u),v))),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))))*.
% 300.02/300.60  185549[0:SpL:21752.1,16218.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf47(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(skf47(u),v))),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))))*.
% 300.02/300.60  185548[0:SpL:21752.1,4192.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(c_Groups_Oone__class_Oone(tc_Int_Oint),u))),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))))*.
% 300.02/300.60  185546[0:SpL:21752.1,4191.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(c_Groups_Ozero__class_Ozero(tc_Int_Oint),u))),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))))*.
% 300.02/300.60  185544[0:SpL:21752.1,12380.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(skf57(u),v))),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))))*.
% 300.02/300.60  185541[0:SpL:21752.1,12183.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf60(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(skf60(u),v))),w))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),skf60(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))))*.
% 300.02/300.60  185539[0:SpL:21752.1,12641.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(c_Int_Onat,u),v))),w))* equal(u,skf48(c_fequal(x)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))*.
% 300.02/300.60  185449[0:SpR:21752.1,3761.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x)),c_Int_Onat__aux(skf48(c_fequal(v)),u)),c_Int_Onat__aux(skf48(c_fequal(skf44(c_Int_Onat__aux(skf48(c_fequal(u)),v),w))),x))**.
% 300.02/300.60  185598[0:Rew:276.0,185452.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(c_Nat_OSuc,u),v))),w)),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 300.02/300.60  185755[0:SpL:742.0,1147.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u))),y),hAPP(hAPP(c_Polynomial_Osmult(u),z),x1)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),x1),hAPP(y,hAPP(hAPP(c_Polynomial_Osmult(u),z),x1))))*.
% 300.02/300.60  186076[0:Res:48874.0,3663.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,u)),u)**.
% 300.02/300.60  186059[0:Res:29873.0,3663.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,u)),u)**.
% 300.02/300.60  186025[0:Res:12782.1,3663.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w,v)),v)**.
% 300.02/300.60  186012[0:Res:724.2,3663.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  186011[0:Res:725.2,3663.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  185940[0:SpL:555.1,3663.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)),w)**.
% 300.02/300.60  185916[0:SpL:558.2,3663.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  185915[0:SpL:556.1,3663.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  185889[0:SpL:598.2,3663.0] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 300.02/300.60  185888[0:SpL:597.2,3663.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 300.02/300.60  186204[0:Rew:687.1,185941.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 300.02/300.60  186491[0:Res:48874.0,3661.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,u)),u)**.
% 300.02/300.60  186474[0:Res:29873.0,3661.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,u)),u)**.
% 300.02/300.60  186440[0:Res:12782.1,3661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),w,v)),v)**.
% 300.02/300.60  186427[0:Res:724.2,3661.0] class_Orderings_Olinorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  186426[0:Res:725.2,3661.0] class_Rings_Olinordered__idom(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  186355[0:SpL:555.1,3661.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),v),x,w)),w)**.
% 300.02/300.60  186331[0:SpL:558.2,3661.0] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(u)) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  186330[0:SpL:556.1,3661.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  186304[0:SpL:598.2,3661.0] class_Groups_Oab__group__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 300.02/300.60  186303[0:SpL:597.2,3661.0] class_Groups_Ogroup__add(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),x,w)),w)**.
% 300.02/300.60  186619[0:Rew:687.1,186356.2] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 300.02/300.60  186881[0:SSi:186827.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] ||  -> equal(skf48(c_fequal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)))**.
% 300.02/300.60  187204[0:SSi:187071.0,138.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))))*.
% 300.02/300.60  187206[0:SSi:187010.0,138.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 300.02/300.60  187475[0:SSi:187357.0,126.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x)))*.
% 300.02/300.60  187478[0:SSi:187296.0,126.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 300.02/300.60  188030[0:Res:3664.0,21720.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)),u)** equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))**.
% 300.02/300.60  187996[0:Res:3664.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x,w)),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))*.
% 300.02/300.60  187990[0:Res:3664.0,920.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),y),x,w)),w)**.
% 300.02/300.60  187948[0:Res:3664.0,938.1] class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  187833[0:SpR:744.2,3664.0] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Polynomial_Osmult(u),x),w,v)),v)**.
% 300.02/300.60  187824[0:SpR:1657.0,3664.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.60  187785[0:SpR:753.0,3664.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.60  187775[0:SpR:752.2,3664.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),x),w,v)),v)**.
% 300.02/300.60  187766[0:SpR:748.2,3664.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  187722[0:SpR:448.2,3664.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 300.02/300.60  188603[0:Res:3662.0,21720.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v,u)),u)** equal(hAPP(c_Nat_OSuc,skf44(c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))**.
% 300.02/300.60  188569[0:Res:3662.0,914.0] || equal(u,hAPP(c_Nat_OSuc,v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x,w)),w)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))*.
% 300.02/300.60  188563[0:Res:3662.0,920.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),y),x,w)),w)**.
% 300.02/300.60  188521[0:Res:3662.0,938.1] class_Rings_Ocomm__ring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188406[0:SpR:744.2,3662.0] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Polynomial_Osmult(u),x),w,v)),v)**.
% 300.02/300.60  188397[0:SpR:1657.0,3662.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.60  188358[0:SpR:753.0,3662.0] ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.60  188348[0:SpR:752.2,3662.0] class_Groups_Ogroup__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),x),w,v)),v)**.
% 300.02/300.60  188339[0:SpR:748.2,3662.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  188295[0:SpR:448.2,3662.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Groups_Ouminus__class_Ouminus(u),w,v)),v)**.
% 300.02/300.60  189069[0:Rew:1148.1,189022.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf57(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf48(c_fequal(x)))),w))*.
% 300.02/300.60  189070[0:Rew:1148.1,189017.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,skf47(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)))))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),w))*.
% 300.02/300.60  189071[0:Rew:1148.1,189014.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)))))),x))*.
% 300.02/300.60  1513[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),w))*.
% 300.02/300.60  1512[0:Inp] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),w))*.
% 300.02/300.60  1508[0:Inp] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),w)),hAPP(hAPP(c_Polynomial_OpCons(u),x),y)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),w),y)))*.
% 300.02/300.60  1515[0:Inp] class_Groups_Ocomm__monoid__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),w)),hAPP(hAPP(c_Polynomial_OpCons(u),x),y)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),w),y)))*.
% 300.02/300.60  1511[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),v)).
% 300.02/300.60  76427[0:SpR:1004.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Polynomial_Opoly(u,y)),z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),x2)),hAPP(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,y,x1)),x2),hAPP(z,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),x2))))*.
% 300.02/300.60  76428[0:SpR:1004.1,742.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Polynomial_Opoly(u,z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),x2)),hAPP(hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x1),x2)),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,z,x1)),x2)))*.
% 300.02/300.60  75684[0:Res:934.2,976.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),x)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)))*.
% 300.02/300.60  75679[0:Res:932.2,976.1] class_Groups_Oordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),x)))*.
% 300.02/300.60  48819[0:SpR:746.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Oplus__class_Oplus(u),z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),x1)),x1))*.
% 300.02/300.60  48818[0:SpR:746.1,742.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),x1)),hAPP(x1,hAPP(z,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),x1))))*.
% 300.02/300.60  78725[0:Rew:1073.0,78596.2] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),c_Orderings_Oord__class_OLeast(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))))))*.
% 300.02/300.60  25311[0:SpL:602.0,492.0] || equal(hAPP(u,skf33(hAPP(hAPP(c_COMBB(v,w,x),y),z),u)),hAPP(y,hAPP(z,skf33(hAPP(hAPP(c_COMBB(v,w,x),y),z),u))))* -> equal(u,hAPP(hAPP(c_COMBB(v,w,x),y),z)).
% 300.02/300.60  25309[0:SpL:602.0,492.0] || equal(hAPP(u,hAPP(v,skf33(w,hAPP(hAPP(c_COMBB(x,y,z),u),v)))),hAPP(w,skf33(w,hAPP(hAPP(c_COMBB(x,y,z),u),v))))* -> equal(hAPP(hAPP(c_COMBB(x,y,z),u),v),w).
% 300.02/300.60  55709[0:SpL:837.1,492.0] class_Rings_Oring__1(u) || equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w)),v)),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),skf33(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w)),v))))* -> equal(v,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w))).
% 300.02/300.60  55695[0:SpL:837.1,492.0] class_Rings_Oring__1(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf33(w,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))),hAPP(w,skf33(w,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)))))* -> equal(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w).
% 300.02/300.60  40919[0:SpL:741.1,492.0] class_Groups_Oab__group__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)))* -> equal(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 300.02/300.60  40912[0:SpL:741.1,492.0] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf33(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v).
% 300.02/300.60  42876[0:Rew:691.1,42853.1] class_Groups_Ouminus(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf35(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf34(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v)))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v))*.
% 300.02/300.60  76855[0:SpR:602.0,963.2] || SkP2(hAPP(hAPP(c_COMBB(u,v,w),x),y),z,x1)* SkP1(hAPP(hAPP(c_COMBB(u,v,w),x),y),z,x1) -> hBOOL(hAPP(hAPP(x,hAPP(y,z)),x1)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  76843[0:SpR:691.1,963.2] class_Groups_Ouminus(u) || SkP2(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(v,u)),w),x,y)* SkP1(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(v,u)),w),x,y) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(w,x)),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  76835[0:SpR:902.2,963.2] class_Rings_Oidom(u) || equal(v,w)* SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76919[0:SpR:594.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w)* SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),w) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w))*.
% 300.02/300.60  76965[0:SpR:595.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),w)* SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),w) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),w))*.
% 300.02/300.60  76952[0:SpR:687.1,963.2] class_Rings_Ocomm__ring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),v)* SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)),v) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v))*.
% 300.02/300.60  69676[0:Res:871.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> equal(hAPP(c_Nat_OSuc,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),x))*.
% 300.02/300.60  69686[0:Res:893.2,3665.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  69667[0:Res:864.2,3665.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  69609[0:SpL:742.0,3665.0] || hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(z,x1,x2),u),x),y))*.
% 300.02/300.60  1514[0:Inp] class_Groups_Oordered__comm__monoid__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* equal(v,c_Groups_Ozero__class_Ozero(u)) equal(w,c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),c_Groups_Ozero__class_Ozero(u))**.
% 300.02/300.60  55555[0:SpL:852.1,492.0] class_Rings_Osemiring__1(u) || equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),v)),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),skf33(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),v))))* -> equal(v,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w))).
% 300.02/300.60  55541[0:SpL:852.1,492.0] class_Rings_Osemiring__1(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf33(w,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))),hAPP(w,skf33(w,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))))* -> equal(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w).
% 300.02/300.60  71915[0:SpR:959.1,739.1] class_Rings_Osemiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),x,c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),hAPP(c_Nat_OSuc,x),c_Nat_Osemiring__1__class_Oof__nat(u,y)))**.
% 300.02/300.60  72057[0:SpR:957.1,739.1] class_Rings_Oring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,w)),x,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,x),c_Int_Oring__1__class_Oof__int(u,y)))**.
% 300.02/300.60  72410[0:SpR:955.1,739.1] class_Rings_Oring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,w)),x,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,x),c_Int_Oring__1__class_Oof__int(u,y)))**.
% 300.02/300.60  66064[0:SpR:936.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  72236[0:SpR:956.1,739.1] class_Rings_Oring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,w)),x,c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,x),c_Int_Oring__1__class_Oof__int(u,y)))**.
% 300.02/300.60  65941[0:SpR:941.1,739.1] class_Rings_Ocomm__ring(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  69792[0:Rew:3724.0,69633.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,x)))),w))*.
% 300.02/300.60  77930[0:Rew:1079.0,77862.2] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),c_Orderings_Oord__class_OLeast(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))))))*.
% 300.02/300.60  48864[0:SpL:746.1,735.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)))*.
% 300.02/300.60  41371[0:Res:1649.2,3740.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v))))))*.
% 300.02/300.60  41311[0:SpR:617.2,1649.2] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x)) -> equal(hAPP(c_Nat_OSuc,skf55(x,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)).
% 300.02/300.60  41310[0:SpR:616.2,1649.2] class_Groups_Ozero(u) || equal(hAPP(c_Nat_OSuc,skf55(v,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)))),x)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),v)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(w).
% 300.02/300.60  76471[0:SpL:1004.1,735.0] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x))* -> hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)))*.
% 300.02/300.60  66007[0:Rew:941.1,65943.1] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,w)))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))),w)**.
% 300.02/300.60  66133[0:Rew:936.1,66066.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,w)))) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))),w)**.
% 300.02/300.60  48181[0:SpR:595.1,12638.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(v) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Int_Onat,w))),w))),w)**.
% 300.02/300.60  48149[0:SpR:594.1,12638.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(v) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,w))),w))),w)**.
% 300.02/300.60  77931[0:Rew:294.0,77839.0,1079.0,77839.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))),w).
% 300.02/300.60  66532[0:Res:1649.2,920.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(v,u),hAPP(c_Nat_OSuc,skf55(x,c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w)))),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 300.02/300.60  66952[0:SpR:950.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),hAPP(hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),hAPP(c_Nat_OSuc,z))))*.
% 300.02/300.60  66951[0:SpR:950.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),hAPP(c_Nat_OSuc,z)),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  66950[0:SpR:950.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat)),v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),hAPP(c_Nat_OSuc,x))))**.
% 300.02/300.60  51402[0:Res:788.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v))*.
% 300.02/300.60  64872[0:Res:937.2,12635.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf48(c_fequal(skf58(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))*.
% 300.02/300.60  55744[0:Rew:837.1,55710.3] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)))*.
% 300.02/300.60  55587[0:Rew:852.1,55556.3] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)))*.
% 300.02/300.60  77616[0:Res:12638.1,1030.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Int_Onat,v)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onat,v)))* -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v))),v)**.
% 300.02/300.60  52481[0:Res:788.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  68923[0:Rew:3654.0,68871.1,3724.0,68871.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(x,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  64878[0:Res:937.2,839.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  55745[0:Rew:837.1,55706.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf62(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  55588[0:Rew:852.1,55552.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf62(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  170372[0:Res:576.2,1007.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf68(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170362[0:SpL:689.2,1007.1] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf68(c_Polynomial_Ocoeff(u,v),x,y)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))*.
% 300.02/300.60  170320[0:SpL:558.2,1007.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170304[0:SpL:598.2,1007.1] class_Groups_Oab__group__add(u) || equal(skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170303[0:SpL:597.2,1007.1] class_Groups_Ogroup__add(u) || equal(skf68(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170296[0:SpL:686.1,1007.1] class_Rings_Oidom(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf68(c_Polynomial_Opoly(u,v),w,x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170509[0:Rew:741.1,170312.3,741.1,170312.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  170760[0:Res:576.2,1010.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(v,skf67(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),w,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Orderings_Oord__class_OLeast(u,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170750[0:SpL:689.2,1010.1] class_Groups_Ozero(u) || equal(v,w) hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),skf67(c_Polynomial_Ocoeff(u,v),x,y)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))*.
% 300.02/300.60  170708[0:SpL:558.2,1010.1] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170692[0:SpL:598.2,1010.1] class_Groups_Oab__group__add(u) || equal(skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170691[0:SpL:597.2,1010.1] class_Groups_Ogroup__add(u) || equal(skf67(hAPP(c_Groups_Ominus__class_Ominus(u),v),w,x),v)** hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170684[0:SpL:686.1,1010.1] class_Rings_Oidom(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,skf67(c_Polynomial_Opoly(u,v),w,x),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170898[0:Rew:741.1,170700.3,741.1,170700.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  170984[0:Res:1085.2,969.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))).
% 300.02/300.60  171115[0:Res:1036.2,870.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))*.
% 300.02/300.60  171236[0:Res:1038.2,870.1] class_Rings_Olinordered__idom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))*.
% 300.02/300.60  171743[0:Res:1080.2,969.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Oone__class_Oone(u)))*.
% 300.02/300.60  171916[0:Res:1077.2,969.1] class_Rings_Olinordered__semidom(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),c_Groups_Ozero__class_Ozero(u)))*.
% 300.02/300.60  172130[0:Res:1035.2,870.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_fun(u,v)),w),x)))*.
% 300.02/300.60  172325[0:SpL:1683.1,735.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)))*.
% 300.02/300.60  172302[0:SpR:1683.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Polynomial_Osmult(u),z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x1)),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x1)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),x1)))*.
% 300.02/300.60  172301[0:SpR:1683.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Polynomial_Osmult(u),y)),z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x1)),hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),x1),hAPP(z,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x1))))*.
% 300.02/300.60  172913[0:SpL:1065.1,464.1] class_Groups_Omonoid__mult(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)))))*.
% 300.02/300.60  172884[0:SpR:1065.1,12637.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),w)),v))),v)**.
% 300.02/300.60  173234[0:SpL:1091.1,12538.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(v)),skf48(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173233[0:SpL:1091.1,16218.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf47(v)),skf47(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173232[0:SpL:1091.1,4192.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173230[0:SpL:1091.1,4191.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173229[0:SpL:1091.1,12380.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf57(v)),skf57(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173228[0:SpL:1091.1,12183.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf60(v)),skf60(v)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf60(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173223[0:SpL:1091.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Int_Onat,skf48(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))))))*.
% 300.02/300.60  173153[0:SpR:1091.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))),v)**.
% 300.02/300.60  173091[0:SpR:1091.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Int_Onat,v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 300.02/300.60  173789[0:Res:1083.2,969.1] class_Groups_Olinordered__ab__group__add(u) class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v)),c_Groups_Ozero__class_Ozero(u)))*.
% 300.02/300.60  174230[0:Res:1040.2,870.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w)))*.
% 300.02/300.60  174514[0:Res:694.1,1006.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174483[0:SpL:744.2,1006.0] class_Rings_Oidom(u) || equal(skf68(hAPP(c_Polynomial_Osmult(u),v),w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174446[0:SpL:752.2,1006.0] class_Groups_Ogroup__add(u) || equal(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174441[0:SpL:748.2,1006.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174427[0:SpL:616.2,1006.0] class_Groups_Ozero(u) || equal(skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  174426[0:SpL:617.2,1006.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  174843[0:Res:694.1,1009.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174812[0:SpL:744.2,1009.0] class_Rings_Oidom(u) || equal(skf67(hAPP(c_Polynomial_Osmult(u),v),w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174775[0:SpL:752.2,1009.0] class_Groups_Ogroup__add(u) || equal(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174770[0:SpL:748.2,1009.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)),v)** hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174756[0:SpL:616.2,1009.0] class_Groups_Ozero(u) || equal(skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  174755[0:SpL:617.2,1009.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  176343[0:Res:694.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),skf41(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),y,z)))*.
% 300.02/300.60  176277[0:SpL:744.2,1081.2] class_Rings_Oidom(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))* hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),y),skf41(hAPP(c_Polynomial_Osmult(u),y),z,x1)))*.
% 300.02/300.60  176222[0:SpL:752.2,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),y),z,x1)))*.
% 300.02/300.60  176213[0:SpL:748.2,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)))* hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),w),z,x1)))*.
% 300.02/300.60  176195[0:SpL:616.2,1081.2] class_Groups_Ozero(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* hBOOL(z) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,w)),skf41(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,w)),x1,x2)))*.
% 300.02/300.60  176194[0:SpL:617.2,1081.2] class_Groups_Ozero(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,w)),skf41(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,w)),x1,x2)))*.
% 300.02/300.60  176182[0:SpL:690.2,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),skf41(c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))),y,z)))*.
% 300.02/300.60  52526[0:Rew:753.0,52437.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  51458[0:Rew:753.0,51346.2] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 300.02/300.60  52528[0:Rew:1657.0,52434.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  51460[0:Rew:1657.0,51343.2] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 300.02/300.60  178953[0:SpR:1092.2,12637.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),w))),w)**.
% 300.02/300.60  178865[0:SpR:1092.2,12637.0] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 300.02/300.60  179837[0:SpR:742.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),y),z),hAPP(hAPP(c_Power_Opower_Opower(x1,x2,hAPP(x,z)),hAPP(y,z)),x3)),hAPP(hAPP(c_Power_Opower_Opower(x1,x2,hAPP(x,z)),hAPP(y,z)),hAPP(c_Nat_OSuc,x3)))**.
% 300.02/300.60  179834[0:SpR:744.2,1075.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_Osmult(u),y)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_Osmult(u),y)),v),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179831[0:SpR:12933.0,1075.0] ||  -> equal(hAPP(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u)))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179826[0:SpR:565.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u))),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,x)))**.
% 300.02/300.60  179799[0:SpR:601.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179773[0:SpR:554.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179744[0:SpR:553.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),x),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179732[0:SpR:752.2,1075.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),w)),v),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179713[0:SpR:748.2,1075.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179711[0:SpR:495.1,1075.0] class_Groups_Ozero(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_OpCons(u),skf37(u,v))),skf36(u,v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_OpCons(u),skf37(u,v))),skf36(u,v)),hAPP(c_Nat_OSuc,y)))*.
% 300.02/300.60  179710[0:SpR:614.1,1075.0] class_Groups_Ozero(u) ||  -> equal(hAPP(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_OpCons(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Polynomial_OpCons(u),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179677[0:SpR:616.2,1075.0] class_Groups_Ozero(u) || equal(v,w) -> equal(hAPP(x,hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v))),w),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,x,v))),w),hAPP(c_Nat_OSuc,x1)))*.
% 300.02/300.60  179676[0:SpR:617.2,1075.0] class_Groups_Ozero(u) ||  -> equal(v,w) equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,v))),w),x1)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,z,v))),w),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.60  179635[0:SpR:690.2,1075.0] class_Rings_Ocomm__semiring__1(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Ocoeff(u,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179610[0:SpR:1075.0,1075.0] ||  -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Power_Opower_Opower(u,v,w)),x),x1))),hAPP(hAPP(w,x),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Power_Opower_Opower(u,v,w)),x),hAPP(c_Nat_OSuc,x1))))**.
% 300.02/300.60  179575[0:SpR:1075.0,1685.1] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),y)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179574[0:SpR:1075.0,1686.1] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179538[0:SpR:1075.0,1660.1] class_Rings_Oring(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179537[0:SpR:1075.0,997.1] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  180640[0:SpR:742.0,1700.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u))),y),hAPP(hAPP(c_Polynomial_OpCons(u),z),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),hAPP(y,hAPP(hAPP(c_Polynomial_OpCons(u),z),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u))))),c_Groups_Oone__class_Oone(u))**.
% 300.02/300.60  181442[0:SpL:1098.1,464.1] class_Groups_Ominus(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),hAPP(y,x)))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),w),y),c_Orderings_Oord__class_OLeast(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),w),y))))*.
% 300.02/300.60  181394[0:SpR:21745.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),y),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Nat_OSuc,skf44(v,w))),hAPP(y,v)))*.
% 300.02/300.60  181368[0:SpR:12953.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(w)))),x),skf48(c_fequal(y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y)))),hAPP(x,skf48(c_fequal(y)))))*.
% 300.02/300.60  181264[0:SpR:936.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,x),z))),hAPP(y,z)))*.
% 300.02/300.60  181261[0:SpR:941.1,1098.1] class_Rings_Ocomm__ring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,x),z))),hAPP(y,z)))*.
% 300.02/300.60  181160[0:SpR:21745.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,v)),hAPP(c_Nat_OSuc,skf44(v,w))))*.
% 300.02/300.60  181134[0:SpR:12953.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(x)))),skf48(c_fequal(y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,skf48(c_fequal(y)))),skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),y)))))*.
% 300.02/300.60  181030[0:SpR:936.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,y),z))))*.
% 300.02/300.60  181027[0:SpR:941.1,1098.1] class_Rings_Ocomm__ring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,y),z))))*.
% 300.02/300.60  181617[0:Rew:1118.1,181552.3] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),y)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))))))*.
% 300.02/300.60  181763[0:Rew:1114.1,181710.3] class_Rings_Ocomm__semiring__0(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,x),y)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,x),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))))))*.
% 300.02/300.60  181973[0:SpL:1120.3,492.0] class_Groups_Ozero(u) || equal(v,skf33(hAPP(c_Polynomial_OpCons(u),w),x)) equal(y,w) equal(hAPP(x,skf33(hAPP(c_Polynomial_OpCons(u),w),x)),hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* -> equal(x,hAPP(c_Polynomial_OpCons(u),w)).
% 300.02/300.60  181947[0:SpL:1120.3,492.0] class_Groups_Ozero(u) || equal(v,skf33(w,hAPP(c_Polynomial_OpCons(u),x))) equal(y,x) equal(hAPP(hAPP(c_Polynomial_OpCons(u),y),v),hAPP(w,skf33(w,hAPP(c_Polynomial_OpCons(u),x))))* -> equal(hAPP(c_Polynomial_OpCons(u),x),w).
% 300.02/300.60  181877[0:SpR:1120.3,739.1] class_Groups_Ozero(u) class_Rings_Osemiring__1(v) || equal(w,x) equal(y,z) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),z),hAPP(c_Nat_OSuc,x1),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Polynomial_OpCons(u),z),x1,hAPP(hAPP(c_Polynomial_OpCons(u),y),w)))*.
% 300.02/300.60  182341[0:SpL:1075.0,1892.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x))),u))* -> equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),x),c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  183075[0:Res:12714.2,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),x))*.
% 300.02/300.60  183699[0:MRR:183624.0,45961.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 300.02/300.60  184531[0:Res:1139.1,1898.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v))) -> .
% 300.02/300.60  184474[0:SpR:1075.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x)),y)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y)))*.
% 300.02/300.60  184424[0:SpR:1075.0,1139.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y))))*.
% 300.02/300.60  184814[0:SpL:1075.0,1893.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,y)))* -> equal(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),u),y)).
% 300.02/300.60  185334[0:SpR:3704.0,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),w)),u),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 300.02/300.60  185333[0:SpR:3703.0,21749.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,w))),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))))*.
% 300.02/300.60  185706[0:SpR:1075.0,1146.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),y),z))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),y),hAPP(c_Nat_OSuc,z))))*.
% 300.02/300.60  185745[0:SpL:1075.0,1147.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),x),hAPP(c_Nat_OSuc,y))),z))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Osmult(u)),x),y)),z)).
% 300.02/300.60  185998[0:Res:776.2,3663.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  185997[0:Res:779.2,3663.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  185987[0:SpL:689.2,3663.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Ocoeff(u,v),y,x)),x)**.
% 300.02/300.60  185875[0:SpL:686.1,3663.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(u,v),x,w)),w)**.
% 300.02/300.60  186200[0:Rew:741.1,185900.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 300.02/300.60  186413[0:Res:776.2,3661.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  186412[0:Res:779.2,3661.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Orderings_Oord__class_Oless(u,v),x,w)),w)**.
% 300.02/300.60  186402[0:SpL:689.2,3661.0] class_Groups_Ozero(u) || equal(v,w)* hBOOL(hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Ocoeff(u,v),y,x)),x)**.
% 300.02/300.60  186290[0:SpL:686.1,3661.0] class_Rings_Oidom(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(c_Polynomial_Oorder(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(u,v),x,w)),w)**.
% 300.02/300.60  186615[0:Rew:741.1,186315.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w,v)),v)**.
% 300.02/300.60  186896[0:SpR:1075.0,1124.3] class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) equal(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),v),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),v),hAPP(c_Nat_OSuc,y)))*.
% 300.02/300.60  188011[0:Res:3664.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 300.02/300.60  188007[0:Res:3664.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 300.02/300.60  187995[0:Res:3664.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,x)),w))*.
% 300.02/300.60  187989[0:Res:3664.0,976.1] class_Orderings_Oord(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(y,z)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),z)))*.
% 300.02/300.60  187988[0:Res:3664.0,3680.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),x))).
% 300.02/300.60  187986[0:Res:3664.0,987.1] class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  187971[0:Res:3664.0,971.1] class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  187839[0:SpR:852.1,3664.0] class_Rings_Osemiring__1(u) ||  -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),x,w)),w)**.
% 300.02/300.60  187838[0:SpR:837.1,3664.0] class_Rings_Oring__1(u) ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),x,w)),w)**.
% 300.02/300.60  187823[0:SpR:1098.1,3664.0] class_Groups_Ominus(u) ||  -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),y,x)),x)**.
% 300.02/300.60  188584[0:Res:3662.0,632.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 300.02/300.60  188580[0:Res:3662.0,636.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 300.02/300.60  188568[0:Res:3662.0,974.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,x)),w))*.
% 300.02/300.60  188562[0:Res:3662.0,976.1] class_Orderings_Oord(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_fun(x,u),y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(y,z)),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),z)))*.
% 300.02/300.60  188561[0:Res:3662.0,3680.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),x))).
% 300.02/300.60  188559[0:Res:3662.0,987.1] class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  188544[0:Res:3662.0,971.1] class_Groups_Oordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  188412[0:SpR:852.1,3662.0] class_Rings_Osemiring__1(u) ||  -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),x,w)),w)**.
% 300.02/300.60  188411[0:SpR:837.1,3662.0] class_Rings_Oring__1(u) ||  -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),x,w)),w)**.
% 300.02/300.60  188396[0:SpR:1098.1,3662.0] class_Groups_Ominus(u) ||  -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),y,x)),x)**.
% 300.02/300.60  188981[0:SpR:1148.1,12637.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,w))),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),w))),w)**.
% 300.02/300.60  1517[0:Inp] class_Groups_Ozero(u) ||  -> equal(hAPP(hAPP(hAPP(v,w),x),hAPP(hAPP(hAPP(c_If(y),hAPP(c_fequal(x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),z),c_Polynomial_Opoly__rec(y,u,z,v,x))),c_Polynomial_Opoly__rec(y,u,z,v,hAPP(hAPP(c_Polynomial_OpCons(u),w),x)))**.
% 300.02/300.60  79129[0:SpR:1074.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x1)),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),x1)),hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x1))))*.
% 300.02/300.60  79130[0:SpR:1074.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x1)),hAPP(hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),x1)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),x1))))*.
% 300.02/300.60  1516[0:Inp] class_Groups_Ozero(u) ||  -> equal(c_Polynomial_OAbs__poly(u,hAPP(c_COMBC(tc_Nat_Onat,u,u,hAPP(c_COMBC(tc_Nat_Onat,u,tc_fun(u,u),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(u,tc_fun(u,u)),tc_Nat_Onat),c_If(u)),c_fequal(v))),w)),c_Groups_Ozero__class_Ozero(u))),c_Polynomial_Omonom(u,w,v))**.
% 300.02/300.60  39312[0:SpL:616.2,441.0] class_Groups_Ozero(u) || equal(skf35(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),w) equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),skf34(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))),v)** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))*.
% 300.02/300.60  39270[0:SpL:617.2,441.0] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),skf34(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))),c_Groups_Ozero__class_Ozero(u))** -> equal(skf35(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w))),w) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)))*.
% 300.02/300.60  26594[0:Rew:12933.0,26567.0] || equal(skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf35(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))))))),skf48(c_fequal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf34(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(c_fequal(u))))*.
% 300.02/300.60  25328[0:Rew:602.0,25305.0] || equal(hAPP(u,hAPP(v,skf35(hAPP(hAPP(c_COMBB(w,x,y),u),v)))),hAPP(u,hAPP(v,skf34(hAPP(hAPP(c_COMBB(w,x,y),u),v)))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(z,x1,hAPP(hAPP(c_COMBB(w,x,y),u),v))*.
% 300.02/300.60  40928[0:Rew:741.1,40911.1] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 300.02/300.60  45103[0:SpL:753.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u))))* -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))).
% 300.02/300.60  45093[0:SpL:753.0,492.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf33(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))* -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v).
% 300.02/300.60  44965[0:SpL:1657.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),u))))* -> equal(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v))).
% 300.02/300.60  44955[0:SpL:1657.0,492.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf33(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v).
% 300.02/300.60  76964[0:SpR:12636.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(c_fequal(skf56(u,v)))) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,skf48(c_fequal(skf56(u,v)))) -> hBOOL(v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(c_fequal(skf56(u,v)))))*.
% 300.02/300.60  76825[0:SpR:742.0,963.2] || SkP2(hAPP(u,v),hAPP(w,v),x)* SkP1(hAPP(u,v),hAPP(w,v),x) -> hBOOL(hAPP(hAPP(hAPP(hAPP(c_COMBS(y,z,x1),u),w),v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(w,v)),x)).
% 300.02/300.60  76758[0:SpR:594.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w,x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),w,x) -> hBOOL(hAPP(v,x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76804[0:SpR:595.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),w,x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),w,x) -> hBOOL(hAPP(v,x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76799[0:SpR:495.1,963.2] class_Groups_Ozero(u) || SkP2(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),skf36(u,v),w)* SkP1(hAPP(c_Polynomial_OpCons(u),skf37(u,v)),skf36(u,v),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf36(u,v)),w)).
% 300.02/300.60  76742[0:SpR:554.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)).
% 300.02/300.60  76774[0:SpR:741.1,963.2] class_Groups_Oab__group__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  71336[0:SpR:997.1,739.1] class_RealVector_Oreal__normed__algebra(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  71065[0:SpR:1660.1,739.1] class_Rings_Oring(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  70079[0:SpR:1686.1,739.1] class_Groups_Oab__group__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  70526[0:SpR:1685.1,739.1] class_Groups_Ogroup__add(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),w))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  60653[0:SpR:3762.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(c_Nat_OSuc,x),c_Int_Onat__aux(skf48(c_fequal(y)),w)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),y)))*.
% 300.02/300.60  76800[0:SpR:565.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v)* SkP1(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),v)).
% 300.02/300.60  62436[0:SpL:21745.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))))),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 300.02/300.60  76822[0:SpR:890.3,963.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v,w)* SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v,w) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  56963[0:Res:1649.2,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(u,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u)))),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u))),c_Int_Onat__aux(skf48(c_fequal(w)),u))*.
% 300.02/300.60  76801[0:SpR:614.1,963.2] class_Groups_Ozero(u) || SkP2(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w)* SkP1(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),w) -> hBOOL(hAPP(c_Polynomial_Omonom(u,v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w)).
% 300.02/300.60  76846[0:SpR:3736.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(u)),v),w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(u)),v),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)).
% 300.02/300.60  58904[0:Res:1649.2,879.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))),v))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v))),v).
% 300.02/300.60  47522[0:SpL:616.2,805.1] class_Groups_Ozero(u) || equal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,y)))*.
% 300.02/300.60  47523[0:SpL:617.2,805.1] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf62(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(c_Int_Onat,y)))*.
% 300.02/300.60  41375[0:Res:1649.2,695.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))*.
% 300.02/300.60  79245[0:SpL:1074.0,735.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)))*.
% 300.02/300.60  54508[0:SpL:890.3,441.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),skf34(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))),c_Groups_Ozero__class_Ozero(u))** -> equal(skf35(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)))*.
% 300.02/300.60  55060[0:Res:12638.1,894.1] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v))).
% 300.02/300.60  55139[0:Res:12638.1,865.1] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,v))),v))),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Int_Onat,v))).
% 300.02/300.60  57646[0:SpR:902.2,12638.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Int_Onat,w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),w))),w)**.
% 300.02/300.60  75694[0:Res:1649.2,976.1] class_Orderings_Oord(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(w,y)),hAPP(hAPP(c_Nat_OSuc,skf55(x,c_Orderings_Oord__class_Oless__eq(tc_fun(v,u),w))),y)))*.
% 300.02/300.60  66800[0:SpR:2543.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Int_Onat),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))))*.
% 300.02/300.60  66801[0:SpR:2543.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Int_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),hAPP(hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 300.02/300.60  66134[0:Rew:936.1,66105.3] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)))*.
% 300.02/300.60  66008[0:Rew:941.1,65982.3] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf48(c_fequal(skf58(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)))*.
% 300.02/300.60  66135[0:Rew:936.1,66100.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf62(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  66009[0:Rew:941.1,65977.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf62(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  68925[0:Rew:3654.0,68872.2,3724.0,68872.2,3614.0,68872.0,2525.0,68872.0,3724.0,68872.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(x,v)))*.
% 300.02/300.60  170380[0:Res:12782.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  170377[0:Res:585.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf68(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  170335[0:SpL:609.2,1007.1] class_Rings_Oring__no__zero__divisors(u) || equal(skf68(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170507[0:Rew:852.1,170358.3,302.1,170358.1,27252.0,170358.1,852.1,170358.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  170768[0:Res:12782.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(c_Int_Onat,skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),v,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,skf48(c_fequal(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  170765[0:Res:585.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf67(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v,w),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  170723[0:SpL:609.2,1010.1] class_Rings_Oring__no__zero__divisors(u) || equal(skf67(hAPP(c_Groups_Otimes__class_Otimes(u),v),w,x),c_Groups_Ozero__class_Ozero(u))** hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170896[0:Rew:852.1,170746.3,302.1,170746.1,27252.0,170746.1,852.1,170746.1] class_Rings_Osemiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  170989[0:Res:1085.2,920.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w)))* -> .
% 300.02/300.60  171748[0:Res:1080.2,920.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Oone__class_Oone(tc_fun(u,v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_fun(u,v)),w),x)),c_Groups_Oone__class_Oone(tc_fun(u,v))))* -> .
% 300.02/300.60  171921[0:Res:1077.2,920.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(hAPP(c_Power_Opower__class_Opower(tc_fun(u,v)),w),x)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))* -> .
% 300.02/300.60  172264[0:SpL:1093.1,735.0] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.60  172263[0:SpL:1093.1,970.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.60  172262[0:SpL:1093.1,973.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v)).
% 300.02/300.60  172261[0:SpL:1093.1,986.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.60  172260[0:SpL:1093.1,989.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v)).
% 300.02/300.60  172259[0:SpL:1093.1,992.1] class_Rings_Ocomm__ring(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v)).
% 300.02/300.60  172253[0:SpL:1093.1,919.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 300.02/300.60  172252[0:SpL:1093.1,933.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 300.02/300.60  172251[0:SpL:1093.1,973.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),x),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172250[0:SpL:1093.1,971.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.60  172249[0:SpL:1093.1,917.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172247[0:SpL:1093.1,989.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),x),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172246[0:SpL:1093.1,992.1] class_Rings_Ocomm__ring(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),x),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172245[0:SpL:1093.1,987.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.60  172244[0:SpL:1093.1,935.1] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172224[0:SpR:1093.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),z),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Polynomial_Osmult(u),z),x1)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),x1)))*.
% 300.02/300.60  172223[0:SpR:1093.1,742.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),y),hAPP(hAPP(c_Polynomial_Osmult(u),z),x1)),hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),x1),hAPP(y,hAPP(hAPP(c_Polynomial_Osmult(u),z),x1))))*.
% 300.02/300.60  172218[0:SpR:1093.1,972.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.60  172217[0:SpR:1093.1,988.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.60  172216[0:SpR:1093.1,991.2] class_Rings_Ocomm__ring(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.60  172203[0:SpR:1093.1,1685.1] class_Rings_Ocomm__ring(u) class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Polynomial_Osmult(u),w),x))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)),v))**.
% 300.02/300.60  172202[0:SpR:1093.1,1686.1] class_Rings_Ocomm__ring(u) class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) ||  -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x))**.
% 300.02/300.60  172201[0:SpR:1093.1,972.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172200[0:SpR:1093.1,988.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172199[0:SpR:1093.1,991.2] class_Rings_Ocomm__ring(u) class_Lattices_Oboolean__algebra(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),x)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172197[0:SpR:1093.1,918.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172196[0:SpR:1093.1,932.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172195[0:SpR:1093.1,916.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 300.02/300.60  172193[0:SpR:1093.1,934.2] class_Rings_Ocomm__ring(u) class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))*.
% 300.02/300.60  172501[0:SpL:1064.1,735.0] class_Power_Opower(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  172454[0:SpR:1064.1,742.0] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1)),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),hAPP(c_Nat_OSuc,x1))))*.
% 300.02/300.60  172453[0:SpR:1064.1,742.0] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),x1)),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,x1)),hAPP(z,hAPP(hAPP(c_Power_Opower__class_Opower(u),y),x1))))*.
% 300.02/300.60  172706[0:SpL:1689.1,735.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  172659[0:SpR:1689.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1)),hAPP(hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1)),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),hAPP(c_Nat_OSuc,x1))))*.
% 300.02/300.60  172658[0:SpR:1689.1,742.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),x1)),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,x1)),hAPP(z,hAPP(hAPP(c_Power_Opower__class_Opower(u),y),x1))))*.
% 300.02/300.60  173795[0:Res:1083.2,920.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w)),c_Groups_Ozero__class_Ozero(tc_fun(u,v))))* -> .
% 300.02/300.60  174506[0:Res:740.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174835[0:Res:740.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  176379[0:Res:48874.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf41(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(tc_Int_Oint))),x,y)))*.
% 300.02/300.60  176362[0:Res:29873.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Oone__class_Oone(tc_Int_Oint))),x,y)))*.
% 300.02/300.60  176317[0:Res:724.2,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* equal(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),skf41(c_Orderings_Oord__class_Oless(u,y),z,x1)))*.
% 300.02/300.60  176316[0:Res:725.2,1081.2] class_Rings_Olinordered__idom(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y))* equal(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),skf41(c_Orderings_Oord__class_Oless(u,y),z,x1)))*.
% 300.02/300.60  179283[0:SpL:1082.1,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w),y)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)))*.
% 300.02/300.60  179228[0:SpR:1082.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(u),z)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x1),x2)),hAPP(hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(u),x1),x2)),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,z,x2)),x1)))*.
% 300.02/300.60  179227[0:SpR:1082.1,742.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),z),hAPP(hAPP(c_Power_Opower__class_Opower(u),x1),x2)),hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,x2)),x1),hAPP(z,hAPP(hAPP(c_Power_Opower__class_Opower(u),x1),x2))))*.
% 300.02/300.60  179850[0:SpR:602.0,1075.0] ||  -> equal(hAPP(hAPP(u,hAPP(v,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(hAPP(c_COMBB(z,x1,x2),u),v)),w),x3)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(hAPP(c_COMBB(z,x1,x2),u),v)),w),hAPP(c_Nat_OSuc,x3)))**.
% 300.02/300.60  179841[0:SpR:691.1,1075.0] class_Groups_Ouminus(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(z,u)),v)),w),x1)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(z,u)),v)),w),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.60  179768[0:SpR:902.2,1075.0] class_Rings_Oidom(u) || equal(v,w) -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179552[0:SpR:1075.0,3709.1] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),x))) equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),x))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),hAPP(c_Nat_OSuc,x))),u)**.
% 300.02/300.60  180192[0:SpL:179332.0,384.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),hAPP(c_Int_Onat,skf48(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v))))))*.
% 300.02/300.60  180232[0:Rew:1079.0,180183.0] ||  -> equal(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(x)),w))))**.
% 300.02/300.60  180158[0:SpR:179332.0,12637.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),w),v)),u))),u)**.
% 300.02/300.60  180650[0:SpL:1700.1,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),y),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),x))*.
% 300.02/300.60  180883[0:Rew:997.1,180861.2] class_RealVector_Oreal__normed__algebra(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Oone__class_Oone(u)) equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))).
% 300.02/300.60  181407[0:SpR:814.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),z)),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 300.02/300.60  181406[0:SpR:1686.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181405[0:SpR:1685.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x))),hAPP(y,z)))*.
% 300.02/300.60  181400[0:SpR:3724.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(x)),z))),hAPP(y,z)))*.
% 300.02/300.60  181358[0:SpR:1660.1,1098.1] class_Rings_Oring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181357[0:SpR:997.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181310[0:SpR:812.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),z)),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 300.02/300.60  181309[0:SpR:815.1,1098.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),z)),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 300.02/300.60  181308[0:SpR:813.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),z)),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 300.02/300.60  181257[0:SpR:745.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),x),c_Polynomial_Omonom(u,y,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),y),z)),hAPP(x,c_Polynomial_Omonom(u,y,z))))*.
% 300.02/300.60  181173[0:SpR:814.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z)))*.
% 300.02/300.60  181172[0:SpR:1686.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z))))*.
% 300.02/300.60  181171[0:SpR:1685.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),y))))*.
% 300.02/300.60  181166[0:SpR:3724.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(y)),z))))*.
% 300.02/300.60  181124[0:SpR:1660.1,1098.1] class_Rings_Oring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))))*.
% 300.02/300.60  181123[0:SpR:997.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))))*.
% 300.02/300.60  181076[0:SpR:812.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z)))*.
% 300.02/300.60  181075[0:SpR:815.1,1098.1] class_Rings_Ocomm__ring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z)))*.
% 300.02/300.60  181074[0:SpR:813.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z)))*.
% 300.02/300.60  181023[0:SpR:745.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,y,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Polynomial_Omonom(u,y,z))),c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),y),z)))*.
% 300.02/300.60  180970[0:SpR:955.1,1098.1] class_Rings_Oring__1(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),w),x)),hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),y),x)),hAPP(c_Int_Oring__1__class_Oof__int(tc_fun(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),w),y)),x))**.
% 300.02/300.60  180968[0:SpR:1686.1,1098.1] class_Groups_Oab__group__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),w),y)),hAPP(x,y)))*.
% 300.02/300.60  180967[0:SpR:1685.1,1098.1] class_Groups_Ogroup__add(tc_fun(u,v)) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),x)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(u,v)),x),y)),hAPP(w,y)))*.
% 300.02/300.60  180964[0:SpR:1075.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ominus__class_Ominus(tc_fun(z,u))),v),x1),w)),hAPP(hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ominus__class_Ominus(tc_fun(z,u))),v),hAPP(c_Nat_OSuc,x1)),w))**.
% 300.02/300.60  180901[0:SpR:1098.1,12637.0] class_Groups_Ominus(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,hAPP(c_Int_Onat,w))),hAPP(x,hAPP(c_Int_Onat,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),w))),w)**.
% 300.02/300.60  181955[0:SpL:1120.3,3665.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* equal(y,z)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),x1))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),z),x1))*.
% 300.02/300.60  181881[0:SpR:1120.3,12638.1] class_Groups_Ozero(u) || equal(v,hAPP(c_Int_Onat,w))* equal(x,y)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* equal(skf48(c_fequal(skf62(hAPP(c_Polynomial_OpCons(u),y),w))),w)**.
% 300.02/300.60  184529[0:Res:1139.1,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)).
% 300.02/300.60  185352[0:SpL:21749.1,1012.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(u,c_Int_Onat__aux(skf48(c_fequal(w)),v)).
% 300.02/300.60  185721[0:Res:1146.2,735.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),w))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Polynomial_Osmult(u),x),w),y)),hAPP(hAPP(c_Polynomial_Osmult(u),x),w)))*.
% 300.02/300.60  186198[0:Rew:691.1,185985.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),v),x,w)),w)**.
% 300.02/300.60  186613[0:Rew:691.1,186400.2] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(y,u)),v),x,w)),w)**.
% 300.02/300.60  187096[0:Res:1144.2,735.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)))*.
% 300.02/300.60  187369[0:Res:1145.2,735.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)))*.
% 300.02/300.60  188046[0:Res:3664.0,1928.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 300.02/300.60  188024[0:Res:3664.0,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),v,u)),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),w))*.
% 300.02/300.60  188019[0:Res:3664.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(w,v,u)),u)** hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 300.02/300.60  187981[0:Res:3664.0,1043.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 300.02/300.60  187980[0:Res:3664.0,1063.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),x))*.
% 300.02/300.60  187979[0:Res:3664.0,1062.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Orderings_Oord__class_Oless__eq(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  187978[0:Res:3664.0,1042.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Orderings_Oord__class_Oless__eq(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  187963[0:Res:3664.0,1051.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 300.02/300.60  187962[0:Res:3664.0,1045.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 300.02/300.60  187961[0:Res:3664.0,1050.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Orderings_Oord__class_Oless(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  187960[0:Res:3664.0,1044.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Orderings_Oord__class_Oless(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  187950[0:Res:3664.0,1089.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  187949[0:Res:3664.0,1090.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  187943[0:SpL:3664.2,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf68(v,w,x)))* equal(x,c_Int_Onat__aux(skf48(c_fequal(u)),y))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),y))*.
% 300.02/300.60  187937[0:SpL:3664.2,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> hBOOL(hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf68(y,u,x)))*.
% 300.02/300.60  187899[0:SpR:3664.2,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),skf68(w,v,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))**.
% 300.02/300.60  187747[0:SpR:936.1,3664.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.60  187744[0:SpR:941.1,3664.0] class_Rings_Ocomm__ring(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.60  188619[0:Res:3662.0,1928.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),w)).
% 300.02/300.60  188597[0:Res:3662.0,1053.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),v,u)),u)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),x),w))*.
% 300.02/300.60  188592[0:Res:3662.0,735.0] ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(w,v,u)),u)** hBOOL(hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 300.02/300.60  188554[0:Res:3662.0,1043.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 300.02/300.60  188553[0:Res:3662.0,1063.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,y),x))*.
% 300.02/300.60  188552[0:Res:3662.0,1062.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Orderings_Oord__class_Oless__eq(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  188551[0:Res:3662.0,1042.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Orderings_Oord__class_Oless__eq(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  188536[0:Res:3662.0,1051.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 300.02/300.60  188535[0:Res:3662.0,1045.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,y),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,y),x))*.
% 300.02/300.60  188534[0:Res:3662.0,1050.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Orderings_Oord__class_Oless(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  188533[0:Res:3662.0,1044.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Orderings_Oord__class_Oless(u,w),y,x)),x)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.60  188523[0:Res:3662.0,1089.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188522[0:Res:3662.0,1090.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188516[0:SpL:3662.2,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf67(v,w,x)))* equal(x,c_Int_Onat__aux(skf48(c_fequal(u)),y))* -> hBOOL(hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),y))*.
% 300.02/300.60  188510[0:SpL:3662.2,3769.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),v),x)* -> hBOOL(hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),skf67(y,u,x)))*.
% 300.02/300.60  188472[0:SpR:3662.2,21752.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> hBOOL(hAPP(w,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),v)) equal(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),skf67(w,v,x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),u))**.
% 300.02/300.60  188320[0:SpR:936.1,3662.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.60  188317[0:SpR:941.1,3662.0] class_Rings_Ocomm__ring(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.60  188998[0:SpR:1075.0,1148.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u))),v),z)),hAPP(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u))),v),hAPP(c_Nat_OSuc,z))),w))**.
% 300.02/300.60  189072[0:Rew:1148.1,189019.3] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),y))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),z))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),z)),y))*.
% 300.02/300.60  189073[0:Rew:1148.1,189008.3] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),x)),y))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),y))))),y))*.
% 300.02/300.60  1528[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),w),hAPP(hAPP(c_Polynomial_OpCons(u),v),x)))**.
% 300.02/300.60  1527[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),x),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),x)),w))**.
% 300.02/300.60  1520[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  1524[0:Inp] class_Groups_Ozero(u) || equal(hAPP(hAPP(hAPP(v,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),w),w) -> equal(c_Polynomial_Opoly__rec(x,u,w,v,hAPP(hAPP(c_Polynomial_OpCons(u),y),z)),hAPP(hAPP(hAPP(v,y),z),c_Polynomial_Opoly__rec(x,u,w,v,z)))*.
% 300.02/300.60  1521[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x)))* -> equal(v,w).
% 300.02/300.60  42375[0:SpL:687.1,492.0] class_Rings_Ocomm__ring__1(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf33(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v)))* -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))).
% 300.02/300.60  42367[0:SpL:687.1,492.0] class_Rings_Ocomm__ring__1(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))),hAPP(v,skf33(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))* -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v).
% 300.02/300.60  42390[0:Rew:687.1,42366.1] class_Rings_Ocomm__ring__1(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf35(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))),hAPP(c_Groups_Ouminus__class_Ouminus(u),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))))*.
% 300.02/300.60  1522[0:Inp] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),v)))*.
% 300.02/300.60  1523[0:Inp] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(v,w) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))*.
% 300.02/300.60  76856[0:SpR:742.0,963.2] || SkP2(hAPP(hAPP(c_COMBS(u,v,w),x),y),z,x1)* SkP1(hAPP(hAPP(c_COMBS(u,v,w),x),y),z,x1) -> hBOOL(hAPP(hAPP(hAPP(x,z),hAPP(y,z)),x1))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.60  76906[0:SpR:994.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Osmult(u),v,c_Polynomial_Omonom(u,w,x)) SkP1(c_Polynomial_Osmult(u),v,c_Polynomial_Omonom(u,w,x)) -> hBOOL(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),c_Polynomial_Omonom(u,w,x))).
% 300.02/300.60  76963[0:SpR:878.1,963.2] class_Groups_Ozero(u) || SkP2(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u),c_Polynomial_Omonom(u,v,w))* SkP1(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u),c_Polynomial_Omonom(u,v,w)) -> hBOOL(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(u)),c_Polynomial_Omonom(u,v,w)))*.
% 300.02/300.60  76824[0:SpR:837.1,963.2] class_Rings_Oring__1(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x)* SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x) -> hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76998[0:SpR:999.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 300.02/300.60  76999[0:SpR:1659.1,963.2] class_Rings_Oring(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 300.02/300.60  76788[0:SpR:1657.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w) SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  76791[0:SpR:687.1,963.2] class_Rings_Ocomm__ring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  76792[0:SpR:753.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w) SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  76796[0:SpR:601.0,963.2] || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v),w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),w)).
% 300.02/300.60  76920[0:SpR:1685.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)).
% 300.02/300.60  76921[0:SpR:1686.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)).
% 300.02/300.60  77000[0:SpR:997.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)).
% 300.02/300.60  77001[0:SpR:1660.1,963.2] class_Rings_Oring(u) || SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)).
% 300.02/300.60  69604[0:SpL:902.2,3665.0] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),y))*.
% 300.02/300.60  80321[0:Res:1017.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),w)))*.
% 300.02/300.60  80451[0:Res:1016.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u)),x)* -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),u),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),v)))*.
% 300.02/300.60  80097[0:Res:1026.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v)),x)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),v),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),u)))*.
% 300.02/300.60  79938[0:Res:1028.1,21751.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(skf44(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x)* -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w),c_Int_Onat__aux(skf48(c_fequal(x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w)))*.
% 300.02/300.60  76823[0:SpR:852.1,963.2] class_Rings_Osemiring__1(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x)* SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x) -> hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76664[0:SpR:1672.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),v,x)* SkP1(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),v,x) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 300.02/300.60  69524[0:SpL:1672.1,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x))) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y)) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x)),y))*.
% 300.02/300.60  47582[0:Res:694.1,805.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(c_Int_Onat,w)))*.
% 300.02/300.60  71472[0:Rew:997.1,71338.1] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 300.02/300.60  71188[0:Rew:1660.1,71067.1] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 300.02/300.60  70181[0:Rew:1686.1,70085.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 300.02/300.60  70649[0:Rew:1685.1,70532.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,w)),v)))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))),w).
% 300.02/300.60  66766[0:SpR:2543.1,12638.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) equal(skf48(c_fequal(skf62(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))**.
% 300.02/300.60  66768[0:SpR:2543.1,808.2] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))**.
% 300.02/300.60  1519[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),u)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)).
% 300.02/300.60  68731[0:Rew:3749.0,68701.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 300.02/300.60  68730[0:Rew:3749.0,68707.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf62(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  169987[0:SpR:10145.1,742.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),z)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),z),skf50(u))),hAPP(hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),z),skf50(u))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),z),u)))*.
% 300.02/300.60  169986[0:SpR:10145.1,742.0] ||  -> equal(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y)),z),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),skf50(u))),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),u),hAPP(z,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),y),skf50(u)))))*.
% 300.02/300.60  170503[0:Rew:691.1,170360.3,691.1,170360.1] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf68(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v),x,y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))*.
% 300.02/300.60  170893[0:Rew:691.1,170748.3,691.1,170748.1] class_Groups_Ouminus(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,skf67(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(w,u)),v),x,y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))*.
% 300.02/300.60  170988[0:Res:1085.2,976.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),w),c_Groups_Ozero__class_Ozero(tc_fun(u,v)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w),x)),hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)))*.
% 300.02/300.60  171747[0:Res:1080.2,976.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Oone__class_Oone(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Oone__class_Oone(tc_fun(u,v)),x)),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_fun(u,v)),w),y),x)))*.
% 300.02/300.60  171920[0:Res:1077.2,976.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)),hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_fun(u,v)),w),y),x)))*.
% 300.02/300.60  173201[0:SpL:1091.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),c_Orderings_Oord__class_OLeast(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))))))*.
% 300.02/300.60  173794[0:Res:1083.2,976.1] class_Groups_Olinordered__ab__group__add(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Ozero__class_Ozero(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),x)),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),w),w),x)))*.
% 300.02/300.60  174495[0:Res:776.2,1006.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf68(c_Orderings_Oord__class_Oless(u,v),w,x)))* -> equal(skf68(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174494[0:Res:779.2,1006.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf68(c_Orderings_Oord__class_Oless(u,v),w,x)))* -> equal(skf68(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174482[0:SpL:890.3,1006.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf68(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174824[0:Res:776.2,1009.0] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf67(c_Orderings_Oord__class_Oless(u,v),w,x)))* -> equal(skf67(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174823[0:Res:779.2,1009.0] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf67(c_Orderings_Oord__class_Oless(u,v),w,x)))* -> equal(skf67(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174811[0:SpL:890.3,1009.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf67(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),v,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  176298[0:Res:776.2,1081.2] class_Orderings_Olinorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)))* -> equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf41(c_Orderings_Oord__class_Oless(u,w),z,x1)))*.
% 300.02/300.60  176297[0:Res:779.2,1081.2] class_Orderings_Oorder(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)))* -> equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,w),skf41(c_Orderings_Oord__class_Oless(u,w),z,x1)))*.
% 300.02/300.60  176276[0:SpL:890.3,1081.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),skf41(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),y,z)))*.
% 300.02/300.60  176263[0:SpL:3732.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))),v)),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))),v)),y,z)))*.
% 300.02/300.60  176200[0:SpL:313.1,1081.2] class_Lattices_Oab__semigroup__idem__mult(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 300.02/300.60  179910[0:SpL:1075.0,767.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)),w))* -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x),w).
% 300.02/300.60  179833[0:SpR:890.3,1075.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179827[0:SpR:736.1,1075.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))),c_Nat_Osemiring__1__class_Oof__nat(u,v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u))),c_Nat_Osemiring__1__class_Oof__nat(u,v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179816[0:SpR:594.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),y))),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),y))),y),hAPP(c_Nat_OSuc,z)))*.
% 300.02/300.60  179803[0:SpR:682.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),hAPP(c_Nat_OSuc,v)),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),hAPP(c_Nat_OSuc,v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179715[0:SpR:595.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y))),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y))),y),hAPP(c_Nat_OSuc,z)))*.
% 300.02/300.60  179704[0:SpR:699.2,1075.0] class_Power_Opower(u) class_Rings_Osemiring__0(u) ||  -> equal(hAPP(c_Groups_Ozero__class_Ozero(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),hAPP(c_Nat_OSuc,x)),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u))),hAPP(c_Nat_OSuc,x)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179702[0:SpR:741.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179671[0:SpR:745.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),c_Polynomial_Omonom(u,v,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179573[0:SpR:1075.0,3724.0] ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179523[0:SpR:1075.0,3704.0] ||  -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x))),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x)))**.
% 300.02/300.60  180203[0:SpL:179332.0,12538.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),w),v)),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf48(u)),w),v)))))*.
% 300.02/300.60  180202[0:SpL:179332.0,16218.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),w),v)),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf47(u)),w),v)))))*.
% 300.02/300.60  180199[0:SpL:179332.0,4191.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Int_Onat__aux(skf48(c_fequal(u)),v))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v),u)),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v),u)))))*.
% 300.02/300.60  180198[0:SpL:179332.0,12380.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),w),v)),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf57(u)),w),v)))))*.
% 300.02/300.60  180197[0:SpL:179332.0,12183.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),w),v)),skf60(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),skf60(u)),w),v)))))*.
% 300.02/300.60  181428[0:SpR:1079.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181424[0:SpR:1091.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),y)),hAPP(x,y)))*.
% 300.02/300.60  181423[0:SpR:1065.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),y))),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),hAPP(c_Nat_OSuc,y))),hAPP(z,x)))**.
% 300.02/300.60  181388[0:SpR:12636.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)),y),skf48(c_fequal(skf56(v,w)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(y,skf48(c_fequal(skf56(v,w))))))*.
% 300.02/300.60  181370[0:SpR:1059.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181369[0:SpR:1078.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181355[0:SpR:1092.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),z),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),hAPP(z,x)))*.
% 300.02/300.60  181329[0:SpR:1073.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))),y),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),z))),hAPP(y,z)))*.
% 300.02/300.60  181323[0:SpR:1091.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),x)),hAPP(y,x)))*.
% 300.02/300.60  181312[0:SpR:3723.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,x))),y),c_Nat_Osemiring__1__class_Oof__nat(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(x)),z))),hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,z))))*.
% 300.02/300.60  181300[0:SpR:878.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))),x),c_Polynomial_Omonom(u,y,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Polynomial_Omonom(u,y,hAPP(c_Nat_OSuc,z))),hAPP(x,c_Polynomial_Omonom(u,y,z))))*.
% 300.02/300.60  181267[0:SpR:1092.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),hAPP(c_Groups_Otimes__class_Otimes(u),w)),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x)),hAPP(z,w)))*.
% 300.02/300.60  181194[0:SpR:1079.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,z)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  181190[0:SpR:1091.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),y)))*.
% 300.02/300.60  181189[0:SpR:1065.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,z))))**.
% 300.02/300.60  181154[0:SpR:12636.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)),skf48(c_fequal(skf56(v,w)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,skf48(c_fequal(skf56(v,w))))),w))*.
% 300.02/300.60  181136[0:SpR:1059.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  181135[0:SpR:1078.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),z))))*.
% 300.02/300.60  181121[0:SpR:1092.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Otimes__class_Otimes(u),x)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))*.
% 300.02/300.60  181095[0:SpR:1073.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),y))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z))))*.
% 300.02/300.60  181089[0:SpR:1091.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),y)))*.
% 300.02/300.60  181078[0:SpR:3723.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,y))),c_Nat_Osemiring__1__class_Oof__nat(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Nat_Osemiring__1__class_Oof__nat(u,z))),c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(y)),z))))*.
% 300.02/300.60  181066[0:SpR:878.1,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))),c_Polynomial_Omonom(u,y,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Polynomial_Omonom(u,y,z))),c_Polynomial_Omonom(u,y,hAPP(c_Nat_OSuc,z))))*.
% 300.02/300.60  181033[0:SpR:1092.2,1098.1] class_Rings_Oidom(u) class_Groups_Ominus(v) || equal(w,hAPP(c_Groups_Ouminus__class_Ouminus(u),x)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,v)),z),hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(z,w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x)))*.
% 300.02/300.60  180947[0:SpR:1098.1,739.1] class_Groups_Ominus(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),y,hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),w),x1),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),hAPP(c_Nat_OSuc,y),hAPP(x1,x)))**.
% 300.02/300.60  180896[0:SpR:1098.1,963.2] class_Groups_Ominus(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x,y)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x,y) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(x,y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  181965[0:SpL:1120.3,839.0] class_Groups_Ozero(u) || equal(v,skf62(hAPP(c_Polynomial_OpCons(u),w),x))* equal(y,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(c_Int_Onat,z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  181960[0:SpL:1120.3,12635.0] class_Groups_Ozero(u) || equal(v,skf48(c_fequal(skf58(hAPP(c_Polynomial_OpCons(u),w)))))* equal(x,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),y)) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),y))*.
% 300.02/300.60  181946[0:SpL:1120.3,441.0] class_Groups_Ozero(u) || equal(v,skf35(hAPP(c_Polynomial_OpCons(u),w))) equal(x,w) equal(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),hAPP(hAPP(c_Polynomial_OpCons(u),w),skf34(hAPP(c_Polynomial_OpCons(u),w))))* -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(y,z,hAPP(c_Polynomial_OpCons(u),w))*.
% 300.02/300.60  182375[0:SpL:1059.0,1892.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.60  182858[0:SpR:2543.1,1134.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,v)),c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))).
% 300.02/300.60  183078[0:Res:12714.2,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  183068[0:Res:12714.2,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v))*.
% 300.02/300.60  183328[0:SpR:1129.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Nat_Onat)),hAPP(c_Int_Onat,u)),x))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Nat_Onat)),hAPP(c_Int_Onat,u)),hAPP(c_Nat_OSuc,x)))**.
% 300.02/300.60  183454[18:MRR:183453.1,111803.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf67(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))*.
% 300.02/300.60  183457[18:MRR:183456.1,111803.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf68(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w))))* -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))*.
% 300.02/300.60  183960[0:SpR:1078.0,1141.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)))))*.
% 300.02/300.60  184228[0:SpL:1078.0,1142.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w)).
% 300.02/300.60  185294[0:SpR:21749.1,12637.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(c_Int_Onat,u),v))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u))),u)**.
% 300.02/300.60  185420[0:Rew:284.0,185295.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),v)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(c_Int_Onat,u),v))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u))),u)**.
% 300.02/300.60  185468[0:SpR:21752.1,12637.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(c_Int_Onat,u),v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))),u)**.
% 300.02/300.60  185603[0:Rew:284.0,185469.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(c_Int_Onat,u),v))),w)) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u))),u)**.
% 300.02/300.60  185662[0:Res:1131.2,870.1] class_Rings_Olinordered__semidom(tc_fun(u,v)) class_Orderings_Oord(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_fun(u,v),c_Groups_Oone__class_Oone(tc_fun(u,v))),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(u,v),c_Groups_Oone__class_Oone(tc_fun(u,v))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_fun(u,v)),w),hAPP(c_Nat_OSuc,x))))*.
% 300.02/300.60  186039[0:Res:694.1,3663.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.60  185914[0:SpL:752.2,3663.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  185913[0:SpL:505.1,3663.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.60  185912[0:SpL:506.1,3663.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.60  185902[0:SpL:748.2,3663.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  185879[0:SpL:616.2,3663.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(w) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),y,x)),x)**.
% 300.02/300.60  185878[0:SpL:617.2,3663.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),y,x)),x)**.
% 300.02/300.60  186454[0:Res:694.1,3661.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.60  186329[0:SpL:752.2,3661.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  186328[0:SpL:505.1,3661.0] class_Groups_Ogroup__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.60  186327[0:SpL:506.1,3661.0] class_Groups_Oab__group__add(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.60  186317[0:SpL:748.2,3661.0] class_Groups_Ogroup__add(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),x,w)),w)**.
% 300.02/300.60  186294[0:SpL:616.2,3661.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(w) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),y,x)),x)**.
% 300.02/300.60  186293[0:SpL:617.2,3661.0] class_Groups_Ozero(u) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,w,v)),y,x)),x)**.
% 300.02/300.60  188036[0:Res:3664.0,12726.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf48(c_fequal(w)))*.
% 300.02/300.60  188025[0:Res:3664.0,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 300.02/300.60  187822[0:SpR:1686.1,3664.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.60  187821[0:SpR:1685.1,3664.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)**.
% 300.02/300.60  187819[0:SpR:3724.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x,w)),w)**.
% 300.02/300.60  187804[0:SpR:1660.1,3664.0] class_Rings_Oring(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.60  187803[0:SpR:997.1,3664.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.60  187779[0:SpR:613.2,3664.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.60  187752[0:SpR:615.2,3664.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Oone__class_Oone(u)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.60  188609[0:Res:3662.0,12726.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),skf48(c_fequal(w)))*.
% 300.02/300.60  188598[0:Res:3662.0,767.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w).
% 300.02/300.60  188395[0:SpR:1686.1,3662.0] class_Groups_Oab__group__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.60  188394[0:SpR:1685.1,3662.0] class_Groups_Ogroup__add(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),w,v)),v)**.
% 300.02/300.60  188392[0:SpR:3724.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x,w)),w)**.
% 300.02/300.60  188377[0:SpR:1660.1,3662.0] class_Rings_Oring(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.60  188376[0:SpR:997.1,3662.0] class_RealVector_Oreal__normed__algebra(u) ||  -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.60  188352[0:SpR:613.2,3662.0] class_Groups_Olinordered__ab__group__add(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(c_Groups_Ozero__class_Ozero(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.60  188325[0:SpR:615.2,3662.0] class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Groups_Oone__class_Oone(u)) -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.60  188816[0:SSi:188799.0,122.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,x,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 300.02/300.60  1532[0:Inp] class_Rings_Osemiring(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),x)),w)),y))**.
% 300.02/300.60  73075[0:SpR:1661.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),y),c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))),hAPP(hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)))*.
% 300.02/300.60  73074[0:SpR:1661.1,742.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(v,w,x),c_Groups_Ouminus__class_Ouminus(u)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1))),hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),x1)))))*.
% 300.02/300.60  73047[0:SpR:1661.1,866.2] class_Rings_Oring(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 300.02/300.60  73154[0:SpL:1661.1,867.1] class_Rings_Oring(u) class_Rings_Olinordered__idom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),c_Groups_Ozero__class_Ozero(u))).
% 300.02/300.60  73046[0:SpR:1661.1,891.2] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),c_Groups_Ozero__class_Ozero(u))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 300.02/300.60  73153[0:SpL:1661.1,892.1] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),c_Groups_Ozero__class_Ozero(u))).
% 300.02/300.60  73044[0:SpR:1661.1,864.2] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 300.02/300.60  73151[0:SpL:1661.1,865.1] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))).
% 300.02/300.60  73042[0:SpR:1661.1,893.2] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 300.02/300.60  73149[0:SpL:1661.1,894.1] class_Rings_Oring(u) class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))).
% 300.02/300.60  65981[0:SpL:941.1,492.0] class_Rings_Ocomm__ring(u) || equal(hAPP(v,skf33(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),skf33(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),v))))* -> equal(v,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))).
% 300.02/300.60  65964[0:SpL:941.1,492.0] class_Rings_Ocomm__ring(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf33(w,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))),hAPP(w,skf33(w,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))* -> equal(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w).
% 300.02/300.60  66104[0:SpL:936.1,492.0] class_Groups_Oab__group__add(u) || equal(hAPP(v,skf33(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),skf33(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),v))))* -> equal(v,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))).
% 300.02/300.60  66087[0:SpL:936.1,492.0] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf33(w,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))),hAPP(w,skf33(w,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))* -> equal(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w).
% 300.02/300.60  76821[0:SpR:699.2,963.2] class_Power_Opower(u) class_Rings_Osemiring__0(u) || SkP2(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v),w)* SkP1(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(u)),hAPP(c_Nat_OSuc,v),w) -> hBOOL(hAPP(c_Groups_Ozero__class_Ozero(u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w)).
% 300.02/300.60  76749[0:SpR:21745.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u,w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u,w) -> hBOOL(hAPP(hAPP(c_Nat_OSuc,skf44(u,v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),w)).
% 300.02/300.60  77007[0:SpR:3761.0,963.2] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u,c_Int_Onat__aux(skf48(c_fequal(v)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),w))).
% 300.02/300.60  76752[0:SpR:682.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v),w)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Nat_OSuc,v),w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,v)),w)).
% 300.02/300.60  68805[0:SpR:3724.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  76978[0:SpR:3723.1,963.2] class_Rings_Osemiring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))* SkP1(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 300.02/300.60  76811[0:SpR:736.1,963.2] class_Rings_Osemiring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Nat_Osemiring__1__class_Oof__nat(u,v),w) -> hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Nat_OSuc,v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(u,v)),w)).
% 300.02/300.60  69555[0:SpL:21745.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))* hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))) equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),x))*.
% 300.02/300.60  62474[0:Rew:62458.1,62473.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))),v))* hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u)) -> hBOOL(hAPP(c_Nat_OSuc,v)) hBOOL(hAPP(c_Nat_OSuc,skf52(skf55(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))),v))).
% 300.02/300.60  76061[0:Res:1649.2,969.1] class_Orderings_Opreorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v))))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,v)))),v))*.
% 300.02/300.60  73989[0:Res:1649.2,987.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))),v))*.
% 300.02/300.60  74155[0:Res:1649.2,971.1] class_Groups_Oordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))),v))*.
% 300.02/300.60  55746[0:Rew:837.1,55666.2,837.1,55666.1] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)))))))*.
% 300.02/300.60  57418[0:SpR:1672.1,12638.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Int_Onat,v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(c_Int_Onat,v),w)),v))),v)**.
% 300.02/300.60  47228[0:Res:1649.2,12726.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),v)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(hAPP(c_Nat_OSuc,skf55(u,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),skf48(c_fequal(v)))*.
% 300.02/300.60  1530[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  71473[0:Rew:997.1,71396.3] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 300.02/300.60  71189[0:Rew:1660.1,71125.3] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 300.02/300.60  70650[0:Rew:1685.1,70586.3] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)))*.
% 300.02/300.60  70182[0:Rew:1686.1,70139.3] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 300.02/300.60  1529[0:Inp] || hBOOL(hAPP(u,v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) -> hBOOL(hAPP(u,skf53(u,y)))* hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),w))))*.
% 300.02/300.60  67842[0:SSi:67833.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))),u))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),u).
% 300.02/300.60  52476[0:Res:871.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v)))* -> equal(skf62(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  71474[0:Rew:997.1,71391.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  71190[0:Rew:1660.1,71120.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  70651[0:Rew:1685.1,70581.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,x)),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  70183[0:Rew:1686.1,70134.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  73166[0:SpL:1661.1,735.0] class_Rings_Oring(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))*.
% 300.02/300.60  170356[0:SpL:744.2,1007.1] class_Rings_Oidom(u) || equal(skf68(hAPP(c_Polynomial_Osmult(u),v),w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170319[0:SpL:752.2,1007.1] class_Groups_Ogroup__add(u) || equal(skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170314[0:SpL:748.2,1007.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)),v)** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170524[4:MRR:170523.0,8759.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  170744[0:SpL:744.2,1010.1] class_Rings_Oidom(u) || equal(skf67(hAPP(c_Polynomial_Osmult(u),v),w,x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))** hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170707[0:SpL:752.2,1010.1] class_Groups_Ogroup__add(u) || equal(skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170702[0:SpL:748.2,1010.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),v),w,x)),v)** hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170913[4:MRR:170912.0,8759.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  173379[0:Rew:1190.1,173099.3] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),c_Groups_Oone__class_Oone(u))**.
% 300.02/300.60  173090[0:SpR:1091.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),v,w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.60  173382[0:SSi:173381.0,121.1] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))))*.
% 300.02/300.60  173384[0:Rew:1091.1,173154.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))),v)**.
% 300.02/300.60  174512[0:Res:788.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174492[0:Res:937.2,1006.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174593[0:Rew:852.1,174485.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174594[0:Rew:837.1,174484.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174841[0:Res:788.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174821[0:Res:937.2,1009.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174923[0:Rew:852.1,174814.2] class_Rings_Osemiring__1(u) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),w,x))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174924[0:Rew:837.1,174813.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  175596[0:Res:12638.1,1089.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))),x)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Int_Onat,x))).
% 300.02/300.60  175878[0:Res:12638.1,1090.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))),x)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(c_Int_Onat,x))).
% 300.02/300.60  176340[0:Res:788.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf41(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Oone__class_Oone(tc_Int_Oint))),y,z)))*.
% 300.02/300.60  176290[0:Res:937.2,1081.2] class_Rings_Ocomm__ring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),skf41(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z,x1)))*.
% 300.02/300.60  176471[0:Rew:852.1,176282.4] class_Rings_Osemiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),w),skf41(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,w)),z,x1))))*.
% 300.02/300.60  176472[0:Rew:837.1,176281.4] class_Rings_Oring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),skf41(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,w)),z,x1))))*.
% 300.02/300.60  176473[0:Rew:1657.0,176269.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),y,z))))*.
% 300.02/300.60  176475[0:Rew:753.0,176232.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),v)),y,z))))*.
% 300.02/300.60  174927[0:Rew:753.0,174781.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174597[0:Rew:753.0,174452.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174925[0:Rew:1657.0,174804.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  174595[0:Rew:1657.0,174475.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  178952[0:SpR:1092.2,963.2] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),w),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  178864[0:SpR:1092.2,963.2] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),v,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 300.02/300.60  179922[0:SpL:1075.0,735.0] || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y))) -> hBOOL(hAPP(hAPP(w,x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y),z)),hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y)))*.
% 300.02/300.60  179921[0:SpL:1075.0,1089.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),hAPP(c_Nat_OSuc,z))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),x),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),z)))*.
% 300.02/300.60  179920[0:SpL:1075.0,1090.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),hAPP(c_Nat_OSuc,z))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),y),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),z)))*.
% 300.02/300.60  179865[0:SpL:1075.0,855.1] class_Rings_Olinordered__idom(u) || c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),hAPP(c_Nat_OSuc,y)))* -> c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),y)) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_OpCons(u)),x),y),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 300.02/300.60  179851[0:SpR:742.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(u,v),hAPP(w,v)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(hAPP(c_COMBS(z,x1,x2),u),w)),v),x3)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(hAPP(c_COMBS(z,x1,x2),u),w)),v),hAPP(c_Nat_OSuc,x3)))**.
% 300.02/300.60  179839[0:SpR:852.1,1075.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179838[0:SpR:837.1,1075.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179821[0:SpR:1657.0,1075.0] ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179819[0:SpR:814.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179766[0:SpR:687.1,1075.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u)))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179745[0:SpR:753.0,1075.0] ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179722[0:SpR:812.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179721[0:SpR:815.1,1075.0] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179720[0:SpR:813.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179665[0:SpR:816.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179633[0:SpR:1672.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w))),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w))),v),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179612[0:SpR:1075.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),x),hAPP(y,z)),hAPP(hAPP(c_Power_Opower_Opower(x1,x2,y),z),x3)),hAPP(hAPP(x,hAPP(hAPP(c_Power_Opower_Opower(x1,x2,y),z),x3)),hAPP(hAPP(c_Power_Opower_Opower(x1,x2,y),z),hAPP(c_Nat_OSuc,x3))))*.
% 300.02/300.60  179611[0:SpR:1075.0,742.0] ||  -> equal(hAPP(hAPP(hAPP(c_COMBS(u,v,w),hAPP(x,y)),z),hAPP(hAPP(c_Power_Opower_Opower(x1,x2,x),y),x3)),hAPP(hAPP(hAPP(c_Power_Opower_Opower(x1,x2,x),y),hAPP(c_Nat_OSuc,x3)),hAPP(z,hAPP(hAPP(c_Power_Opower_Opower(x1,x2,x),y),x3))))*.
% 300.02/300.60  179599[0:SpR:1075.0,1079.0] ||  -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Power_Opower__class_Opower(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179541[0:SpR:1075.0,1059.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179540[0:SpR:1075.0,1078.0] ||  -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179512[0:SpR:1075.0,1073.0] ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),y))),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  180189[0:SpL:179332.0,464.1] class_Orderings_Owellorder(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Int_Onat__aux(skf48(c_fequal(w)),x))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),x),w)),c_Orderings_Oord__class_OLeast(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),x),w)))))*.
% 300.02/300.60  180886[0:SSi:180865.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),c_Groups_Oone__class_Oone(tc_Int_Oint))** -> equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),c_Groups_Oone__class_Oone(tc_Int_Oint)) equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))).
% 300.02/300.60  181408[0:SpR:955.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,x))),y),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),x),z))),hAPP(y,c_Int_Oring__1__class_Oof__int(u,z))))*.
% 300.02/300.60  181360[0:SpR:959.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,x))),y),c_Nat_Osemiring__1__class_Oof__nat(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),x),z))),hAPP(y,c_Nat_Osemiring__1__class_Oof__nat(u,z))))*.
% 300.02/300.60  181359[0:SpR:957.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,x))),y),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),z))),hAPP(y,c_Int_Oring__1__class_Oof__int(u,z))))*.
% 300.02/300.60  181313[0:SpR:956.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,x))),y),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),z))),hAPP(y,c_Int_Oring__1__class_Oof__int(u,z))))*.
% 300.02/300.60  181311[0:SpR:747.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),z),hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),z))))*.
% 300.02/300.60  181265[0:SpR:1700.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y))),z),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Groups_Oone__class_Oone(u)),hAPP(z,y)))**.
% 300.02/300.60  181251[0:SpR:816.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),y)),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z))))*.
% 300.02/300.60  181210[0:SpR:179332.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),x),y))),z),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),w),c_Int_Onat__aux(skf48(c_fequal(y)),x))),hAPP(z,w)))**.
% 300.02/300.60  181174[0:SpR:955.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,y))),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Int_Oring__1__class_Oof__int(u,z))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),y),z))))*.
% 300.02/300.60  181126[0:SpR:959.1,1098.1] class_Rings_Osemiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,y))),c_Nat_Osemiring__1__class_Oof__nat(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Nat_Osemiring__1__class_Oof__nat(u,z))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),y),z))))*.
% 300.02/300.60  181125[0:SpR:957.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,y))),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Int_Oring__1__class_Oof__int(u,z))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),z))))*.
% 300.02/300.60  181079[0:SpR:956.1,1098.1] class_Rings_Oring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,y))),c_Int_Oring__1__class_Oof__int(u,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Int_Oring__1__class_Oof__int(u,z))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z))))*.
% 300.02/300.60  181077[0:SpR:747.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),z))),z))*.
% 300.02/300.60  181031[0:SpR:1700.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),y),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),z))),z),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,z)),c_Groups_Oone__class_Oone(u)))**.
% 300.02/300.60  181017[0:SpR:816.1,1098.1] class_Groups_Oab__group__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),z),y)))*.
% 300.02/300.60  180976[0:SpR:179332.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),y),z))),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,x)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),x),c_Int_Onat__aux(skf48(c_fequal(z)),y))))**.
% 300.02/300.60  180905[0:SpR:1098.1,1098.1] class_Groups_Ominus(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),z),x1)),x2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,x2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(z,x2)),hAPP(x1,x2))))*.
% 300.02/300.60  180903[0:SpR:1098.1,1098.1] class_Groups_Ominus(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),z)),x1),x2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,x2)),hAPP(z,x2))),hAPP(x1,x2)))*.
% 300.02/300.60  181534[0:SpR:1118.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),y),z))),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,x1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),hAPP(c_Polynomial_Opoly(u,z),x1))))*.
% 300.02/300.60  181533[0:SpR:1118.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),x),y))),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Polynomial_Opoly(u,y),x1))),hAPP(z,x1)))*.
% 300.02/300.60  181692[0:SpR:1114.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),y),z))),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,x1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),hAPP(c_Polynomial_Ocoeff(u,z),x1))))*.
% 300.02/300.60  181691[0:SpR:1114.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),x),y))),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),hAPP(c_Polynomial_Ocoeff(u,y),x1))),hAPP(z,x1)))*.
% 300.02/300.60  181884[0:SpR:1120.3,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) || equal(w,x) equal(y,z) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x1,v)),x2),hAPP(c_Polynomial_OpCons(u),z)),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x2,x)),hAPP(hAPP(c_Polynomial_OpCons(u),y),w)))*.
% 300.02/300.60  181883[0:SpR:1120.3,1098.1] class_Groups_Ozero(u) class_Groups_Ominus(v) || equal(w,x) equal(y,z) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x1,v)),hAPP(c_Polynomial_OpCons(u),z)),x2),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Polynomial_OpCons(u),y),w)),hAPP(x2,x)))*.
% 300.02/300.60  181882[0:SpR:1120.3,1649.2] class_Groups_Ozero(u) || equal(v,hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Polynomial_OpCons(u),x))))* equal(y,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),w)) -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),v))*.
% 300.02/300.60  183339[0:SpR:1129.1,739.1] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,v)),w,hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),x))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w),x))**.
% 300.02/300.60  183316[0:SpR:1129.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) SkP2(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u),v) SkP1(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u),v) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v)).
% 300.02/300.60  185670[0:Res:1131.2,735.0] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))))*.
% 300.02/300.60  186884[0:SSi:186825.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))),w)* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),skf48(c_fequal(w)))*.
% 300.02/300.60  188015[0:Res:3664.0,824.1] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w,v)),v)** equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))**.
% 300.02/300.60  188013[0:Res:3664.0,894.1] class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188008[0:Res:3664.0,21751.0] || equal(skf44(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w,v)),v)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 300.02/300.60  187994[0:Res:3664.0,865.1] class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  187985[0:Res:3664.0,879.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)** equal(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)).
% 300.02/300.60  187951[0:Res:3664.0,1147.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),y)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  187849[0:SpR:742.0,3664.0] ||  -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(hAPP(c_COMBS(y,z,x1),u),x),w,v)),v)**.
% 300.02/300.60  187840[0:SpR:1079.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.60  187806[0:SpR:1059.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),x,w)),w)**.
% 300.02/300.60  187805[0:SpR:1078.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.60  187782[0:SpR:1073.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.60  188588[0:Res:3662.0,824.1] class_Rings_Oring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w,v)),v)** equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))**.
% 300.02/300.60  188586[0:Res:3662.0,894.1] class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188581[0:Res:3662.0,21751.0] || equal(skf44(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),w,v)),v)** equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),c_Int_Onat__aux(skf48(c_fequal(x)),u))*.
% 300.02/300.60  188567[0:Res:3662.0,865.1] class_Groups_Olinordered__ab__group__add(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188558[0:Res:3662.0,879.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)** equal(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)).
% 300.02/300.60  188524[0:Res:3662.0,1147.1] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),x),y)),w,v)),v)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.60  188422[0:SpR:742.0,3662.0] ||  -> hBOOL(hAPP(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(hAPP(c_COMBS(y,z,x1),u),x),w,v)),v)**.
% 300.02/300.60  188413[0:SpR:1079.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.60  188379[0:SpR:1059.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),x,w)),w)**.
% 300.02/300.60  188378[0:SpR:1078.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.60  188355[0:SpR:1073.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.60  1725[0:Rew:219.0,1548.1] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 300.02/300.60  55748[0:Rew:837.1,55694.1] class_Rings_Oring__1(u) || equal(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf35(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf34(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)))*.
% 300.02/300.60  71395[0:SpL:997.1,492.0] class_RealVector_Oreal__normed__algebra(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf33(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))))* -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 300.02/300.60  71124[0:SpL:1660.1,492.0] class_Rings_Oring(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf33(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))))* -> equal(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 300.02/300.60  70585[0:SpL:1685.1,492.0] class_Groups_Ogroup__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf33(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)),w)))* -> equal(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 300.02/300.60  70138[0:SpL:1686.1,492.0] class_Groups_Oab__group__add(u) || equal(hAPP(v,skf33(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf33(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v))))* -> equal(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))).
% 300.02/300.60  70567[0:SpL:1685.1,492.0] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))),w)),hAPP(v,skf33(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),v).
% 300.02/300.60  70120[0:SpL:1686.1,492.0] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf33(w,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w).
% 300.02/300.60  71377[0:SpL:997.1,492.0] class_RealVector_Oreal__normed__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf33(w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))* -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w).
% 300.02/300.60  71106[0:SpL:1660.1,492.0] class_Rings_Oring(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf33(w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))* -> equal(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w).
% 300.02/300.60  76923[0:SpR:955.1,963.2] class_Rings_Oring__1(u) || SkP2(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* SkP1(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 300.02/300.60  76979[0:SpR:956.1,963.2] class_Rings_Oring__1(u) || SkP2(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* SkP1(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 300.02/300.60  77003[0:SpR:957.1,963.2] class_Rings_Oring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w))* SkP1(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v),c_Int_Oring__1__class_Oof__int(u,w)) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w)))*.
% 300.02/300.60  76707[0:SpR:745.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w),x) SkP1(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),c_Polynomial_Omonom(u,v,w),x) -> hBOOL(hAPP(c_Polynomial_Omonom(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),v),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Omonom(u,v,w)),x)).
% 300.02/300.60  76710[0:SpR:941.1,963.2] class_Rings_Ocomm__ring(u) || SkP2(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x) SkP1(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76713[0:SpR:936.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x) SkP1(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  1534[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  1535[0:Inp] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),c_Groups_Oone__class_Oone(u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.60  68924[0:Rew:3614.0,68812.1,2525.0,68812.1,3724.0,68812.1,3724.0,68812.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))))*.
% 300.02/300.60  55591[0:Rew:852.1,55540.1] class_Rings_Osemiring__1(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf35(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))),c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),v),skf34(hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Power_Opower__class_Opower(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)))*.
% 300.02/300.60  77836[0:SpR:1079.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),x,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  78196[0:SpR:1078.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  78855[0:SpR:1059.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  78553[0:SpR:1073.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),y))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(c_Nat_OSuc,x),y))**.
% 300.02/300.60  77002[0:SpR:959.1,963.2] class_Rings_Osemiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w))* SkP1(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v),c_Nat_Osemiring__1__class_Oof__nat(u,w)) -> hBOOL(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w)))*.
% 300.02/300.60  1924[0:Rew:1878.0,1533.3] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x)),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)))*.
% 300.02/300.60  66010[0:Rew:941.1,65944.2,941.1,65944.1] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Nat_OSuc,skf55(w,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))))*.
% 300.02/300.60  66136[0:Rew:936.1,66067.2,936.1,66067.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Nat_OSuc,skf55(w,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))))))*.
% 300.02/300.60  55747[0:Rew:837.1,55707.3,837.1,55707.1] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf62(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.60  65708[0:Res:1649.2,938.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))*.
% 300.02/300.60  52356[0:Res:871.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(skf48(c_fequal(skf58(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u))))),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v))*.
% 300.02/300.60  51510[0:Res:1649.2,824.1] class_Rings_Oring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))))),c_Int_Oring__1__class_Oof__int(u,hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))**.
% 300.02/300.60  68922[0:Rew:3724.0,68876.2] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)))*.
% 300.02/300.60  170368[0:Res:776.2,1007.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf68(c_Orderings_Oord__class_Oless(u,v),w,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf68(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170367[0:Res:779.2,1007.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf68(c_Orderings_Oord__class_Oless(u,v),w,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf68(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170756[0:Res:776.2,1010.1] class_Orderings_Olinorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf67(c_Orderings_Oord__class_Oless(u,v),w,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf67(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  170755[0:Res:779.2,1010.1] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),skf67(c_Orderings_Oord__class_Oless(u,v),w,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf67(c_Orderings_Oord__class_Oless(u,v),w,x),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.60  172248[0:SpL:1093.1,865.1] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172243[0:SpL:1093.1,894.1] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))).
% 300.02/300.60  172237[0:SpL:1093.1,867.1] class_Rings_Ocomm__ring(u) class_Rings_Olinordered__idom(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 300.02/300.60  172236[0:SpL:1093.1,892.1] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))).
% 300.02/300.60  172194[0:SpR:1093.1,864.2] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.60  172192[0:SpR:1093.1,893.2] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.60  172183[0:SpR:1093.1,866.2] class_Rings_Ocomm__ring(u) class_Rings_Olinordered__idom(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172182[0:SpR:1093.1,891.2] class_Rings_Ocomm__ring(u) class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(u)) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(u),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.60  172882[0:SpR:1065.1,739.1] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),y,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),hAPP(c_Nat_OSuc,x))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),hAPP(c_Nat_OSuc,y),w))**.
% 300.02/300.60  173380[0:Rew:556.1,173092.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Int_Onat,v)))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 300.02/300.60  174599[0:Rew:936.1,174428.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf68(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174600[0:Rew:941.1,174425.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf68(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174929[0:Rew:936.1,174757.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf67(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174930[0:Rew:941.1,174754.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf67(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  176221[0:SpL:505.1,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),y,z)))*.
% 300.02/300.60  176220[0:SpL:506.1,1081.2] class_Groups_Oab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),y,z)))*.
% 300.02/300.60  176476[0:Rew:936.1,176196.4] class_Groups_Oab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),skf41(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),z,x1))))*.
% 300.02/300.60  176477[0:Rew:941.1,176193.4] class_Rings_Ocomm__ring(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,w),skf41(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),z,x1))))*.
% 300.02/300.60  45143[0:Rew:753.0,45071.1,753.0,45071.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))))*.
% 300.02/300.60  44996[0:Rew:1657.0,44931.1,1657.0,44931.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))))))*.
% 300.02/300.60  178954[0:SpR:1092.2,12638.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,w)),w))),w)**.
% 300.02/300.60  178866[0:SpR:1092.2,12638.1] class_Rings_Oidom(u) || equal(hAPP(c_Int_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Int_Onat,v)),v))),v)**.
% 300.02/300.60  179915[0:SpL:1075.0,925.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),hAPP(c_Nat_OSuc,y)))** -> equal(u,x) equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),x),y),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)).
% 300.02/300.60  179806[0:SpR:21745.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Nat_OSuc,skf44(u,v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))),u),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))),u),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179800[0:SpR:12636.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf48(c_fequal(skf56(u,v)))),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u)),skf48(c_fequal(skf56(u,v)))),hAPP(c_Nat_OSuc,y)))*.
% 300.02/300.60  179780[0:SpR:12953.0,1075.0] ||  -> equal(hAPP(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u)))),skf48(c_fequal(v))),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u)))),skf48(c_fequal(v))),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179767[0:SpR:1092.2,1075.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),w)),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179735[0:SpR:1091.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),v)),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.60  179680[0:SpR:1092.2,1075.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),v),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  180645[0:SpL:1700.1,51176.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)),skf49(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)))))*.
% 300.02/300.60  180887[0:Rew:1704.1,180863.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),w),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),c_Groups_Oone__class_Oone(u)) equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))).
% 300.02/300.60  181397[0:SpR:3761.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w)),x),c_Int_Onat__aux(skf48(c_fequal(y)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),c_Int_Onat__aux(skf48(c_fequal(z)),y))),hAPP(x,c_Int_Onat__aux(skf48(c_fequal(y)),z))))*.
% 300.02/300.60  181366[0:SpR:1659.1,1098.1] class_Rings_Oring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z))),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 300.02/300.60  181365[0:SpR:999.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z))),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))))*.
% 300.02/300.60  181282[0:SpR:994.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_Osmult(u),x)),y),c_Polynomial_Omonom(u,z,x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z),x1)),hAPP(y,c_Polynomial_Omonom(u,z,x1))))*.
% 300.02/300.60  181245[0:SpR:947.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,x)),y),hAPP(c_Polynomial_Opoly(u,z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,x,z)),x1)),hAPP(y,hAPP(c_Polynomial_Opoly(u,z),x1))))*.
% 300.02/300.60  181163[0:SpR:3761.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x)),c_Int_Onat__aux(skf48(c_fequal(y)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,c_Int_Onat__aux(skf48(c_fequal(y)),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(z)),y))))*.
% 300.02/300.60  181132[0:SpR:1659.1,1098.1] class_Rings_Oring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))))*.
% 300.02/300.60  181131[0:SpR:999.1,1098.1] class_RealVector_Oreal__normed__algebra(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(u),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),z))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))))*.
% 300.02/300.60  181048[0:SpR:994.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_Osmult(u),y)),c_Polynomial_Omonom(u,z,x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,c_Polynomial_Omonom(u,z,x1))),c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z),x1)))*.
% 300.02/300.60  181011[0:SpR:947.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,y)),hAPP(c_Polynomial_Opoly(u,z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Polynomial_Opoly(u,z),x1))),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,y,z)),x1)))*.
% 300.02/300.60  180898[0:SpR:1098.1,739.1] class_Groups_Ominus(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),y),z,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,x1)),hAPP(y,x1))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),y),hAPP(c_Nat_OSuc,z),x1))**.
% 300.02/300.60  181525[0:SpR:1118.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),z))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(c_Nat_OSuc,y),z))**.
% 300.02/300.60  181685[0:SpR:1114.1,739.1] class_Rings_Ocomm__semiring__0(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,x),z))),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),hAPP(c_Nat_OSuc,y),z))**.
% 300.02/300.60  181966[0:SpL:1120.3,805.1] class_Groups_Ozero(u) || equal(v,skf62(hAPP(c_Polynomial_OpCons(u),w),x))* equal(y,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(c_Int_Onat,z)))*.
% 300.02/300.60  181878[0:SpR:1120.3,963.2] class_Groups_Ozero(u) || equal(v,w)* equal(x,y)* SkP2(hAPP(c_Polynomial_OpCons(u),y),w,z)* SkP1(hAPP(c_Polynomial_OpCons(u),y),w,z) -> hBOOL(hAPP(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),z))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),z)).
% 300.02/300.60  182198[0:SpL:936.1,1115.1] class_Groups_Oab__group__add(u) class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),v,u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,w),skf40(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),v,u))))* -> equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)).
% 300.02/300.60  182184[0:SpL:936.1,1115.1] class_Groups_Oab__group__add(u) class_Groups_Ozero(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf40(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),u))),hAPP(c_Polynomial_Ocoeff(u,w),skf40(w,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),u)))* -> equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v),w).
% 300.02/300.60  182216[0:Obv:182190.0] class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(hAPP(hAPP(c_Polynomial_OpCons(u),w),x),v,u)),hAPP(c_Nat_Onat_Onat__case(u,w,c_Polynomial_Ocoeff(u,x)),skf40(hAPP(hAPP(c_Polynomial_OpCons(u),w),x),v,u)))* -> equal(v,hAPP(hAPP(c_Polynomial_OpCons(u),w),x)).
% 300.02/300.60  182217[0:Obv:182176.0] class_Groups_Ozero(u) || equal(hAPP(c_Nat_Onat_Onat__case(u,v,c_Polynomial_Ocoeff(u,w)),skf40(x,hAPP(hAPP(c_Polynomial_OpCons(u),v),w),u)),hAPP(c_Polynomial_Ocoeff(u,x),skf40(x,hAPP(hAPP(c_Polynomial_OpCons(u),v),w),u)))* -> equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),w),x).
% 300.02/300.60  183346[0:SpR:1129.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,v))),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,y)),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),y))))*.
% 300.02/300.60  183345[0:SpR:1129.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,v))),x),y),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),y))),hAPP(x,y)))*.
% 300.02/300.60  184005[0:Res:1141.1,964.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))*.
% 300.02/300.60  185298[0:SpR:21749.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(z)),w))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,v)),c_Int_Onat__aux(skf48(c_fequal(z)),skf44(v,w))))*.
% 300.02/300.60  185297[0:SpR:21749.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(y)),w))),z),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Onat__aux(skf48(c_fequal(y)),skf44(v,w))),hAPP(z,v)))*.
% 300.02/300.60  185290[0:SpR:21749.1,742.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),w)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(hAPP(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),w)))*.
% 300.02/300.60  185472[0:SpR:21752.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),y),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),z))),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,v)),c_Int_Onat__aux(skf48(c_fequal(skf44(v,w))),z)))*.
% 300.02/300.60  185471[0:SpR:21752.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),y))),z),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Onat__aux(skf48(c_fequal(skf44(v,w))),y)),hAPP(z,v)))*.
% 300.02/300.60  185599[0:Rew:3749.0,185464.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(u,c_Int_Onat__aux(skf48(c_fequal(v)),w))),v)) -> equal(hAPP(hAPP(hAPP(c_COMBS(x,y,z),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),v)))*.
% 300.02/300.60  186216[0:Rew:3724.0,185963.1,3614.0,185963.0,2525.0,185963.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x,w)),w)**.
% 300.02/300.60  186631[0:Rew:3724.0,186378.1,3614.0,186378.0,2525.0,186378.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x,w)),w)**.
% 300.02/300.60  186809[0:Res:1143.1,976.1] class_Rings_Olinordered__ring(tc_fun(u,v)) class_Orderings_Oord(v) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(v,hAPP(c_Groups_Ozero__class_Ozero(tc_fun(u,v)),w)),hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_fun(u,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_fun(u,v)),x),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_fun(u,v)),y),y)),w)))*.
% 300.02/300.60  186882[0:Rew:1190.1,186782.2,1190.1,186782.2,1190.1,186782.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)))))))*.
% 300.02/300.60  186885[0:SSi:186818.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] class_Rings_Oring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w)))),c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),w))))**.
% 300.02/300.60  186886[0:SSi:186812.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),v)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)).
% 300.02/300.60  187846[0:SpR:1118.1,3664.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.60  187845[0:SpR:1114.1,3664.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.60  187841[0:SpR:1120.3,3664.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* equal(y,z)* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Polynomial_OpCons(u),z),x,w)),w)**.
% 300.02/300.60  187748[0:SpR:1700.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)**.
% 300.02/300.60  188419[0:SpR:1118.1,3662.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.60  188418[0:SpR:1114.1,3662.0] class_Rings_Ocomm__semiring__0(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.60  188414[0:SpR:1120.3,3662.0] class_Groups_Ozero(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* equal(y,z)* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),y),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Polynomial_OpCons(u),z),x,w)),w)**.
% 300.02/300.60  188321[0:SpR:1700.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(c_Groups_Oone__class_Oone(u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),w,v)),v)**.
% 300.02/300.60  188987[0:SpR:1148.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),y),z))),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,x1)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,y),x1)),z)))*.
% 300.02/300.60  188986[0:SpR:1148.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),x),y))),z),x1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,x),x1)),y)),hAPP(z,x1)))*.
% 300.02/300.60  189074[0:SSi:189009.0,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x),c_Groups_Ozero__class_Ozero(u))** equal(c_Polynomial_Oorder(u,w,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) -> equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 300.02/300.60  1538[0:Inp] class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),w)))* -> equal(v,x) equal(w,y).
% 300.02/300.60  1723[0:Rew:1073.0,1537.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),x))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),y),v)),x))))*.
% 300.02/300.60  1722[0:Rew:1073.0,1536.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),v)),y))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),y))).
% 300.02/300.60  76761[0:SpR:814.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 300.02/300.60  76814[0:SpR:812.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 300.02/300.60  76815[0:SpR:813.1,963.2] class_Groups_Oab__group__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 300.02/300.60  76816[0:SpR:815.1,963.2] class_Rings_Ocomm__ring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 300.02/300.60  76759[0:SpR:1685.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76760[0:SpR:1686.1,963.2] class_Groups_Oab__group__add(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76839[0:SpR:997.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76840[0:SpR:1660.1,963.2] class_Rings_Oring(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.60  76997[0:SpR:931.1,963.2] class_Lattices_Oab__semigroup__idem__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))* SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)))*.
% 300.02/300.60  21766[0:Rew:21719.1,21239.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(w,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),x))),y))* -> equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))),w),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))),y))*.
% 300.02/300.60  21757[0:Rew:21719.1,21230.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),x),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),y))* -> equal(x,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),y))*.
% 300.02/300.60  76826[0:SpR:12953.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v)),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),skf48(c_fequal(u))),skf48(c_fequal(v)),w) -> hBOOL(hAPP(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(c_fequal(v))),w)).
% 300.02/300.60  78726[0:Rew:1073.0,78556.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))),w).
% 300.02/300.60  66011[0:Rew:941.1,65978.3,941.1,65978.1] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf62(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.60  66137[0:Rew:936.1,66101.3,936.1,66101.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf62(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.60  64879[0:Res:937.2,805.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf62(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(c_Int_Onat,x)))*.
% 300.02/300.60  77042[0:Res:963.2,839.0] || SkP2(u,v,skf62(hAPP(u,v),w))* SkP1(u,v,skf62(hAPP(u,v),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf62(hAPP(u,v),w)))* hBOOL(hAPP(hAPP(u,v),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.60  167604[0:Rew:414.0,167444.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))),w).
% 300.02/300.60  170300[0:SpL:616.2,1007.1] class_Groups_Ozero(u) || equal(skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))*.
% 300.02/300.60  170299[0:SpL:617.2,1007.1] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf68(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))*.
% 300.02/300.60  170688[0:SpL:616.2,1010.1] class_Groups_Ozero(u) || equal(skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(v) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))*.
% 300.02/300.60  170687[0:SpL:617.2,1010.1] class_Groups_Ozero(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> equal(skf67(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),x,y),w)** hBOOL(hAPP(c_Polynomial_Ocoeff(u,c_Polynomial_Omonom(u,v,w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))*.
% 300.02/300.60  172291[0:SpR:1683.1,963.2] class_Rings_Ocomm__ring(u) || SkP2(c_Polynomial_Osmult(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) SkP1(c_Polynomial_Osmult(u),v,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)) -> hBOOL(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w))).
% 300.02/300.60  172938[0:SpL:1065.1,3665.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x))) equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)),y))*.
% 300.02/300.60  173227[0:SpL:1091.1,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),x))*.
% 300.02/300.60  173196[0:SpL:1091.1,3665.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 300.02/300.60  174598[0:Rew:3749.0,174511.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  174928[0:Rew:3749.0,174840.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.60  175587[0:Res:963.2,1089.1] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* SkP1(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),x)).
% 300.02/300.60  175869[0:Res:963.2,1090.1] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* SkP1(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),x)).
% 300.02/300.60  78357[0:Rew:1078.0,78199.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))),w).
% 300.02/300.60  167899[0:Rew:412.0,167763.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,w))))* equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))),w).
% 300.02/300.60  47675[0:Rew:753.0,47552.2,753.0,47552.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(c_Int_Onat,w))))*.
% 300.02/300.60  47676[0:Rew:1657.0,47549.2,1657.0,47549.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(c_Int_Onat,w))))*.
% 300.02/300.60  179029[0:SpL:1092.2,3665.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),y))*.
% 300.02/300.60  178991[0:SpL:1092.2,3665.0] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))* equal(v,c_Int_Onat__aux(skf48(c_fequal(w)),y)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),y))*.
% 300.02/300.60  179889[0:SpL:1075.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),x)))* hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),x)))*.
% 300.02/300.60  179885[0:SpL:1075.0,1900.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)))* hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)))*.
% 300.02/300.60  179870[0:SpL:1075.0,1003.1] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),y),hAPP(c_Nat_OSuc,z)))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_OpCons(u)),y),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 300.02/300.60  179862[0:SpL:1075.0,1003.1] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Polynomial_OpCons(u),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),y),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),y),hAPP(c_Nat_OSuc,z)))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(w,x,c_Polynomial_Osmult(u)),y),z),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 300.02/300.60  179712[0:SpR:878.1,1075.0] class_Groups_Ozero(u) ||  -> equal(hAPP(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))),c_Polynomial_Omonom(u,v,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u))),c_Polynomial_Omonom(u,v,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179678[0:SpR:936.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179675[0:SpR:941.1,1075.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.60  179659[0:SpR:947.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,v)),hAPP(c_Polynomial_Opoly(u,w),x)),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,v)),hAPP(c_Polynomial_Opoly(u,w),x)),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.60  181362[0:SpR:931.1,1098.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z)),hAPP(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),z))))*.
% 300.02/300.60  181128[0:SpR:931.1,1098.1] class_Lattices_Oab__semigroup__idem__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z)))*.
% 300.02/300.60  180953[0:SpR:1098.1,1098.1] class_Groups_Ominus(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(y,z))),hAPP(x1,z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(x1,z))),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x2,u)),y),x1),z)))*.
% 300.02/300.60  180952[0:SpR:1098.1,1098.1] class_Groups_Ominus(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,y))),z),hAPP(x1,y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x2,u)),x),x1),y)),hAPP(z,hAPP(x1,y))))*.
% 300.02/300.60  181619[0:Rew:1118.1,181531.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,x))))* equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))),x).
% 300.02/300.60  181765[0:Rew:1114.1,181689.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,x))))* equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))),x).
% 300.02/300.60  181969[0:SpL:1120.3,1009.0] class_Groups_Ozero(u) || equal(v,skf67(hAPP(c_Polynomial_OpCons(u),w),x,y))* equal(z,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),z),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x1),x2)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x1),x2)).
% 300.02/300.60  181967[0:SpL:1120.3,1006.0] class_Groups_Ozero(u) || equal(v,skf68(hAPP(c_Polynomial_OpCons(u),w),x,y))* equal(z,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),z),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x1),x2)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x1),x2)).
% 300.02/300.60  181879[0:SpR:1120.3,1075.0] class_Groups_Ozero(u) || equal(v,w) equal(x,y) -> equal(hAPP(hAPP(hAPP(c_Polynomial_OpCons(u),x),v),hAPP(hAPP(c_Power_Opower_Opower(z,x1,hAPP(c_Polynomial_OpCons(u),y)),w),x2)),hAPP(hAPP(c_Power_Opower_Opower(z,x1,hAPP(c_Polynomial_OpCons(u),y)),w),hAPP(c_Nat_OSuc,x2)))**.
% 300.02/300.60  183082[0:Res:12714.2,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v,w)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  183080[0:Res:12714.2,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf48(c_fequal(skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),v,w)))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Int_Onat,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.60  183399[0:SpL:1129.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(v,skf33(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v)),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf33(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v))))* -> equal(v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))).
% 300.02/300.60  183442[0:Rew:1129.1,183388.3] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 300.02/300.60  183375[0:SpL:1129.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf33(v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))),hAPP(v,skf33(v,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)))))* -> equal(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v).
% 300.02/300.60  184004[0:Res:1141.1,1030.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* -> .
% 300.02/300.60  185368[0:SpL:21749.1,50956.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))*.
% 300.02/300.60  185291[0:SpR:21749.1,739.1] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),w)),y,c_Int_Onat__aux(skf48(c_fequal(x)),skf44(v,w))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),w)),hAPP(c_Nat_OSuc,y),v))**.
% 300.02/300.60  185600[0:Rew:3749.0,185542.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf46(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))*.
% 300.02/300.60  185465[0:SpR:21752.1,739.1] class_Rings_Osemiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v),w)) -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y,c_Int_Onat__aux(skf48(c_fequal(skf44(v,w))),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x)),hAPP(c_Nat_OSuc,y),v))**.
% 300.02/300.60  186036[0:Res:788.1,3663.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w,v)),v)**.
% 300.02/300.60  186033[0:Res:893.2,3663.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.60  186014[0:Res:864.2,3663.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.61  185995[0:Res:937.2,3663.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186202[0:Rew:837.1,185981.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),x,w)),w)**.
% 300.02/300.61  186203[0:Rew:1657.0,185967.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.61  185964[0:SpL:594.1,3663.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x,w)),w)**.
% 300.02/300.61  185943[0:SpL:902.2,3663.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x,w)),w)**.
% 300.02/300.61  186205[0:Rew:753.0,185923.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.61  185904[0:SpL:595.1,3663.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x,w)),w)**.
% 300.02/300.61  186451[0:Res:788.1,3661.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),w,v)),v)**.
% 300.02/300.61  186448[0:Res:893.2,3661.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.61  186429[0:Res:864.2,3661.0] class_Groups_Olinordered__ab__group__add(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w,v)),v)**.
% 300.02/300.61  186410[0:Res:937.2,3661.0] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186617[0:Rew:837.1,186396.2] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),x,w)),w)**.
% 300.02/300.61  186618[0:Rew:1657.0,186382.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.61  186379[0:SpL:594.1,3661.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x,w)),w)**.
% 300.02/300.61  186358[0:SpL:902.2,3661.0] class_Rings_Oidom(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x,w)),w)**.
% 300.02/300.61  186620[0:Rew:753.0,186338.1] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),w,v)),v)**.
% 300.02/300.61  186319[0:SpL:595.1,3661.0] class_Groups_Ogroup__add(u) || hBOOL(v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x,w)),w)**.
% 300.02/300.61  188051[0:Res:3664.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 300.02/300.61  188047[0:Res:3664.0,1900.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 300.02/300.61  187982[0:Res:3664.0,969.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 300.02/300.61  187832[0:SpR:1129.1,3664.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),w,v)),v)**.
% 300.02/300.61  187802[0:SpR:902.2,3664.0] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),x,w)),w)**.
% 300.02/300.61  187727[0:SpR:1672.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x)),w,v)),v)**.
% 300.02/300.61  188624[0:Res:3662.0,964.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 300.02/300.61  188620[0:Res:3662.0,1900.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)** hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))).
% 300.02/300.61  188555[0:Res:3662.0,969.1] class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Orderings_Oord__class_Oless__eq(u,x),w,v)),v)** hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x))*.
% 300.02/300.61  188405[0:SpR:1129.1,3662.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),w,v)),v)**.
% 300.02/300.61  188375[0:SpR:902.2,3662.0] class_Rings_Oidom(u) || equal(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),x,w)),w)**.
% 300.02/300.61  188300[0:SpR:1672.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),x)),w,v)),v)**.
% 300.02/300.61  188817[0:SSi:188779.0,18.0,7.0,17.0,6.0,59.0,50.0,34.0,33.0,25.0,23.0,21.0,12.0,42.0,29.0,16.0,14.0,9.0,52.0,36.0,27.0,26.0,24.0,13.0,2.0,54.0,49.0,46.0,20.0,4.0,57.0,44.0,60.0,3.0,51.0,39.0,5.0,40.0,55.0,47.0,43.0,37.0,41.0,28.0,10.0,38.0,53.0,8.0,11.0,48.0,35.0,19.0,45.0,56.0,15.0,22.0,32.0,30.0,31.0,58.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) equal(c_Polynomial_Oorder(tc_Int_Oint,u,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Int_Oint))).
% 300.02/300.61  188985[0:SpR:1148.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),y)),x,w)),w)**.
% 300.02/300.61  188984[0:SpR:1148.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),y)),x,w)),w)**.
% 300.02/300.61  73062[0:SpR:1661.1,734.3] class_Rings_Oring(tc_Polynomial_Opoly(u)) class_Rings_Olinordered__idom(u) ||  -> c_Polynomial_Opos__poly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)))* equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) c_Polynomial_Opos__poly(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),v),w)).
% 300.02/300.61  1541[0:Inp] class_Rings_Oidom(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),hAPP(c_Nat_OSuc,c_Polynomial_Oorder(u,v,w)))),w))* -> equal(w,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))).
% 300.02/300.61  45144[0:Rew:753.0,45092.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf35(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf34(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 300.02/300.61  44997[0:Rew:1657.0,44954.0] || equal(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)))*.
% 300.02/300.61  76918[0:SpR:3724.0,963.2] || SkP2(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w) SkP1(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w))*.
% 300.02/300.61  1923[0:Rew:1878.0,1540.3] class_Rings_Olinordered__semidom(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),x))* equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),x),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))* -> equal(v,w).
% 300.02/300.61  77043[0:Res:963.2,805.1] || SkP2(u,v,skf62(hAPP(u,v),w))* SkP1(u,v,skf62(hAPP(u,v),w)) hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf62(hAPP(u,v),w)))* hBOOL(hAPP(hAPP(u,v),hAPP(c_Int_Onat,x)))*.
% 300.02/300.61  45611[0:Res:1649.2,786.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),hAPP(c_Nat_OSuc,skf55(v,c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint)))))))*.
% 300.02/300.61  79018[0:Rew:1059.0,78940.2] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 300.02/300.61  78727[0:Rew:1073.0,78636.2] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf48(c_fequal(skf58(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))*.
% 300.02/300.61  77932[0:Rew:1079.0,77887.2] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf48(c_fequal(skf58(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))*.
% 300.02/300.61  67488[0:Res:1649.2,964.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))))*.
% 300.02/300.61  78728[0:Rew:1073.0,78631.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  77933[0:Rew:1079.0,77882.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf62(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  62472[0:Rew:284.0,62444.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),u))* hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Nat_OSuc,skf44(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Int_Onat,w)))*.
% 300.02/300.61  170387[0:Res:694.1,1007.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.61  170775[0:Res:694.1,1010.1] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.61  173151[0:SpR:1091.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(c_Nat_OSuc,w),x))**.
% 300.02/300.61  174601[0:Rew:1686.1,174474.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174602[0:Rew:1685.1,174473.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174603[0:Rew:1660.1,174465.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174604[0:Rew:997.1,174464.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174931[0:Rew:1686.1,174803.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174932[0:Rew:1685.1,174802.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174933[0:Rew:1660.1,174794.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174934[0:Rew:997.1,174793.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  176478[0:Rew:1686.1,176268.4] class_Groups_Oab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z,x1))))*.
% 300.02/300.61  176479[0:Rew:1685.1,176267.4] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),z,x1)),y)))*.
% 300.02/300.61  176480[0:Rew:1660.1,176250.4] class_Rings_Oring(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z,x1))))*.
% 300.02/300.61  176481[0:Rew:997.1,176249.4] class_RealVector_Oreal__normed__algebra(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z,x1))))*.
% 300.02/300.61  78358[0:Rew:1078.0,78282.2] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf48(c_fequal(skf58(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))*.
% 300.02/300.61  78359[0:Rew:1078.0,78277.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  179119[0:SSi:179118.1,121.1] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 300.02/300.61  179121[0:SSi:179120.1,121.1] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)) -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))*.
% 300.02/300.61  179892[0:SpL:1075.0,1012.0] || equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),x)),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))** -> equal(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),w),x),w).
% 300.02/300.61  179888[0:SpL:1075.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),x)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),x)))* hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Int_Oint)),w),hAPP(c_Nat_OSuc,x))) -> .
% 300.02/300.61  179883[0:SpL:1075.0,1898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),x)))* hBOOL(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))) -> .
% 300.02/300.61  179818[0:SpR:1686.1,1075.0] class_Groups_Oab__group__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179817[0:SpR:1685.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))),v),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179809[0:SpR:3761.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),c_Int_Onat__aux(skf48(c_fequal(w)),v)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u)),c_Int_Onat__aux(skf48(c_fequal(w)),v)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179778[0:SpR:1659.1,1075.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179777[0:SpR:999.1,1075.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179770[0:SpR:1660.1,1075.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179769[0:SpR:997.1,1075.0] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179724[0:SpR:3723.1,1075.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Nat_Osemiring__1__class_Oof__nat(u,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Nat_Osemiring__1__class_Oof__nat(u,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179695[0:SpR:994.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),hAPP(hAPP(c_Power_Opower_Opower(y,z,hAPP(c_Polynomial_Osmult(u),v)),c_Polynomial_Omonom(u,w,x)),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,hAPP(c_Polynomial_Osmult(u),v)),c_Polynomial_Omonom(u,w,x)),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.61  179657[0:SpR:2543.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),x)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Int_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),hAPP(c_Nat_OSuc,x)))**.
% 300.02/300.61  180196[0:SpL:179332.0,3665.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))) equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),y)) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x),w)),y))*.
% 300.02/300.61  180657[0:SpL:1700.1,12538.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf48(w))),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf48(w))))))*.
% 300.02/300.61  180656[0:SpL:1700.1,16218.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf47(w))),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf47(w))))))*.
% 300.02/300.61  180655[0:SpL:1700.1,4192.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Oone__class_Oone(tc_Int_Oint))),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Oone__class_Oone(tc_Int_Oint))))))*.
% 300.02/300.61  180653[0:SpL:1700.1,4191.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))*.
% 300.02/300.61  180652[0:SpL:1700.1,12380.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf57(w))),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf57(w))))))*.
% 300.02/300.61  180651[0:SpL:1700.1,12183.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf60(w))),skf60(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),skf60(w))))))*.
% 300.02/300.61  180646[0:SpL:1700.1,384.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)),hAPP(c_Int_Onat,skf48(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w))))))*.
% 300.02/300.61  181451[0:SpL:1098.1,3665.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),z))* -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x1,u)),v),y),z))*.
% 300.02/300.61  181307[0:SpR:746.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Oplus__class_Oplus(u),x)),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),z),hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),z))))*.
% 300.02/300.61  181283[0:SpR:1683.1,1098.1] class_Rings_Ocomm__ring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Polynomial_Osmult(u),x)),y),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),x)),z)),hAPP(y,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z))))*.
% 300.02/300.61  181244[0:SpR:1004.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Polynomial_Opoly(u,x)),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,x,z)),x1)),hAPP(y,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1))))*.
% 300.02/300.61  181073[0:SpR:746.1,1098.1] class_Groups_Ogroup__add(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),z))),z))*.
% 300.02/300.61  181049[0:SpR:1683.1,1098.1] class_Rings_Ocomm__ring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Polynomial_Osmult(u),y)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),z))),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),z)))*.
% 300.02/300.61  181010[0:SpR:1004.1,1098.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Polynomial_Opoly(u,y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),x1))),hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,y,z)),x1)))*.
% 300.02/300.61  180911[0:SpR:1098.1,963.2] class_Groups_Ominus(u) || SkP2(c_Groups_Ominus__class_Ominus(u),hAPP(v,w),hAPP(x,w))* SkP1(c_Groups_Ominus__class_Ominus(u),hAPP(v,w),hAPP(x,w)) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(y,u)),v),x),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(v,w)),hAPP(x,w)))*.
% 300.02/300.61  181620[0:Rew:1118.1,181572.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  181621[0:Rew:1118.1,181567.3] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf48(c_fequal(skf58(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)))*.
% 300.02/300.61  181766[0:Rew:1114.1,181730.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf62(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,y))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  181767[0:Rew:1114.1,181725.3] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf48(c_fequal(skf58(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)))*.
% 300.02/300.61  183998[0:Res:1141.1,735.0] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))*.
% 300.02/300.61  185767[0:Res:12638.1,1147.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> equal(skf48(c_fequal(skf62(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))),x)** hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(c_Int_Onat,x))).
% 300.02/300.61  185754[0:SpL:1075.0,1147.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),x),y)),hAPP(c_Nat_OSuc,z))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),y),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),x),y)),z)))*.
% 300.02/300.61  185993[0:SpL:742.0,3663.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* equal(c_Int_Onat__aux(skf48(c_fequal(x1)),skf68(hAPP(hAPP(c_COMBS(w,x,y),u),v),x1,z)),z)**.
% 300.02/300.61  186210[0:Rew:936.1,185880.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.61  186211[0:Rew:941.1,185877.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.61  186219[0:Rew:1079.0,185983.1,294.0,185983.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.61  186408[0:SpL:742.0,3661.0] || hBOOL(hAPP(hAPP(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(w,x,y),u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1)))* equal(c_Int_Onat__aux(skf48(c_fequal(x1)),skf67(hAPP(hAPP(c_COMBS(w,x,y),u),v),x1,z)),z)**.
% 300.02/300.61  186625[0:Rew:936.1,186295.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.61  186626[0:Rew:941.1,186292.2] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),x,w)),w)**.
% 300.02/300.61  186634[0:Rew:1079.0,186398.1,294.0,186398.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.61  188050[0:Res:3664.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v,u)),u)**.
% 300.02/300.61  188045[0:Res:3664.0,1898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)**.
% 300.02/300.61  187818[0:SpR:21745.1,3664.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v,u)),u)**.
% 300.02/300.61  187708[0:SpR:3724.0,3664.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(u,x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 300.02/300.61  188623[0:Res:3662.0,1030.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),w),v,u)),u)**.
% 300.02/300.61  188618[0:Res:3662.0,1898.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),w),v,u)),u)**.
% 300.02/300.61  188391[0:SpR:21745.1,3662.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,w)),v,u)),u)**.
% 300.02/300.61  188281[0:SpR:3724.0,3662.0] ||  -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),x)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(u,x,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))**.
% 300.02/300.61  188976[0:SpR:1148.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x)),y,hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),z)),x)),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x)),hAPP(c_Nat_OSuc,y),z))**.
% 300.02/300.61  189075[0:Rew:1148.1,188982.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,x))),w)) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x))),x)**.
% 300.02/300.61  66012[0:Rew:941.1,65963.1] class_Rings_Ocomm__ring(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf35(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf34(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.61  66138[0:Rew:936.1,66086.1] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf35(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf34(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)))*.
% 300.02/300.61  1544[0:Inp] class_Rings_Oring(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),z))* -> equal(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),v)),w)),z))*.
% 300.02/300.61  1543[0:Inp] class_Rings_Oring(u) || equal(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),y)),z))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)),z))*.
% 300.02/300.61  76802[0:SpR:878.1,963.2] class_Groups_Ozero(u) || SkP2(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Polynomial_Omonom(u,v,w),x)* SkP1(hAPP(c_Polynomial_OpCons(u),c_Groups_Ozero__class_Ozero(u)),c_Polynomial_Omonom(u,v,w),x) -> hBOOL(hAPP(c_Polynomial_Omonom(u,v,hAPP(c_Nat_OSuc,w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Omonom(u,v,w)),x)).
% 300.02/300.61  76705[0:SpR:816.1,963.2] class_Groups_Oab__group__add(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x)* SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),v),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x))*.
% 300.02/300.61  79097[0:SpR:1074.0,963.2] || SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))).
% 300.02/300.61  76803[0:SpR:12636.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v)) SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(u,v))),w)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf48(c_fequal(skf56(u,v))),w) -> hBOOL(hAPP(v,w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf48(c_fequal(skf56(u,v)))),w)).
% 300.02/300.61  78522[0:SpR:1073.0,963.2] || SkP2(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w) SkP1(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v),w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w)).
% 300.02/300.61  76757[0:SpR:3724.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x) SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.61  77037[0:Res:963.2,3665.0] || SkP2(u,v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))* SkP1(u,v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)) equal(w,c_Int_Onat__aux(skf48(c_fequal(x)),y))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* hBOOL(hAPP(hAPP(u,v),y))*.
% 300.02/300.61  78830[0:SpR:1059.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w)).
% 300.02/300.61  76817[0:SpR:3723.1,963.2] class_Rings_Osemiring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x) -> hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(u,w)),x)).
% 300.02/300.61  77826[0:SpR:1079.0,963.2] || SkP2(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w) SkP1(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w)).
% 300.02/300.61  68365[0:Rew:3753.0,68333.2,3749.0,68333.2,3753.0,68333.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(c_Nat_OSuc,skf55(w,c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))))*.
% 300.02/300.61  71475[0:Rew:997.1,71339.2,997.1,71339.1] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))*.
% 300.02/300.61  71191[0:Rew:1660.1,71068.2,1660.1,71068.1] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))*.
% 300.02/300.61  70184[0:Rew:1686.1,70086.2,1686.1,70086.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))))))*.
% 300.02/300.61  47591[0:Res:788.1,805.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf62(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onat,w)))*.
% 300.02/300.61  77934[0:Rew:294.0,77840.1,1079.0,77840.1,1079.0,77840.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))))))*.
% 300.02/300.61  70652[0:Rew:1685.1,70533.2,1685.1,70533.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),w))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),w))))),w)))*.
% 300.02/300.61  77034[0:Res:963.2,12635.0] || SkP2(u,v,skf48(c_fequal(skf58(hAPP(u,v)))))* SkP1(u,v,skf48(c_fequal(skf58(hAPP(u,v))))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf48(c_fequal(skf58(hAPP(u,v))))))* hBOOL(hAPP(hAPP(u,v),w))*.
% 300.02/300.61  77617[0:Res:1649.2,1030.2] || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))),u))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_OSuc,skf55(v,hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u)))))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))).
% 300.02/300.61  172411[0:SpR:1064.1,963.2] class_Power_Opower(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))* SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.61  172615[0:SpR:1689.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))* SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)))*.
% 300.02/300.61  172841[0:SpR:1065.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),v)* SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),v) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),v))*.
% 300.02/300.61  174505[0:Res:871.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v,w)))* -> equal(skf68(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v,w),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  174605[0:Rew:3724.0,174472.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174834[0:Res:871.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v,w)))* -> equal(skf67(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),v,w),hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  174935[0:Rew:3724.0,174801.1] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  176266[0:SpL:594.1,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))),skf41(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))),z,x1)))*.
% 300.02/300.61  176215[0:SpL:595.1,1081.2] class_Groups_Ogroup__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(w) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))),z,x1)))*.
% 300.02/300.61  176482[0:Rew:3724.0,176265.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),z,x1))))*.
% 300.02/300.61  78171[0:SpR:1078.0,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w) SkP1(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v),w) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w)).
% 300.02/300.61  179163[0:SpR:1082.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x))* SkP1(c_Groups_Otimes__class_Otimes(u),v,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,x)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)))*.
% 300.02/300.61  179820[0:SpR:955.1,1075.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179774[0:SpR:931.1,1075.0] class_Lattices_Oab__semigroup__idem__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179772[0:SpR:959.1,1075.0] class_Rings_Osemiring__1(u) ||  -> equal(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Nat_Osemiring__1__class_Oof__nat(u,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v))),c_Nat_Osemiring__1__class_Oof__nat(u,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179771[0:SpR:957.1,1075.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179725[0:SpR:956.1,1075.0] class_Rings_Oring__1(u) ||  -> equal(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v))),c_Int_Oring__1__class_Oof__int(u,w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179658[0:SpR:1004.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.61  179583[0:SpR:1075.0,2543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w)))* -> equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_OSuc,w))),c_Int_Onat__aux(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Oplus__class_Oplus(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)),w),c_Groups_Oone__class_Oone(tc_Nat_Onat))).
% 300.02/300.61  180154[0:SpR:179332.0,739.1] class_Rings_Osemiring__1(u) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w),x)),y,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Int_Onat__aux(skf48(c_fequal(x)),w))),c_Nat_Osemiring__1__class_Oof__nat__aux(u,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w),x)),hAPP(c_Nat_OSuc,y),v))**.
% 300.02/300.61  180638[0:SpR:1075.0,1700.1] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y)),c_Groups_Oone__class_Oone(u))**.
% 300.02/300.61  181386[0:SpR:1074.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),z))),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z))))*.
% 300.02/300.61  181367[0:SpR:1082.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,x,x1)),z)),hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1))))*.
% 300.02/300.61  181364[0:SpR:1064.1,1098.1] class_Power_Opower(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),hAPP(c_Nat_OSuc,z))),hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(u),x),z))))*.
% 300.02/300.61  181363[0:SpR:1689.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),hAPP(c_Groups_Otimes__class_Otimes(u),x)),y),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),hAPP(c_Nat_OSuc,z))),hAPP(y,hAPP(hAPP(c_Power_Opower__class_Opower(u),x),z))))*.
% 300.02/300.61  181258[0:SpR:1093.1,1098.1] class_Rings_Ocomm__ring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),x),hAPP(hAPP(c_Polynomial_Osmult(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),z)),hAPP(x,hAPP(hAPP(c_Polynomial_Osmult(u),y),z))))*.
% 300.02/300.61  181243[0:SpR:2543.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),c_Int_Onat),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))))*.
% 300.02/300.61  181152[0:SpR:1074.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),z))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),x),z))))*.
% 300.02/300.61  181133[0:SpR:1082.1,1098.1] class_Rings_Ocomm__semiring__1(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Power_Opower__class_Opower(u),z),x1))),hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,y,x1)),z)))*.
% 300.02/300.61  181130[0:SpR:1064.1,1098.1] class_Power_Opower(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z))),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,z))))*.
% 300.02/300.61  181129[0:SpR:1689.1,1098.1] class_Groups_Omonoid__mult(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),hAPP(c_Groups_Otimes__class_Otimes(u),y)),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Power_Opower__class_Opower(u),y),z))),hAPP(hAPP(c_Power_Opower__class_Opower(u),y),hAPP(c_Nat_OSuc,z))))*.
% 300.02/300.61  181024[0:SpR:1093.1,1098.1] class_Rings_Ocomm__ring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),y),z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(hAPP(c_Polynomial_Osmult(u),y),z))),hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),z)))*.
% 300.02/300.61  181009[0:SpR:2543.1,1098.1] class_Groups_Ominus(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,u)),x),c_Int_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(x,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),v))),c_Int_Onat__aux(v,c_Groups_Oone__class_Oone(tc_Nat_Onat))))*.
% 300.02/300.61  180902[0:SpR:1098.1,12638.1] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(c_Int_Onat,y))),hAPP(x,hAPP(c_Int_Onat,y))))* equal(skf48(c_fequal(skf62(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y))),y)**.
% 300.02/300.61  182387[0:Res:963.2,1892.1] || SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u) SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),u) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),u))* equal(v,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  182557[0:Res:963.2,1890.1] || SkP2(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v) SkP1(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v),v) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),v))* equal(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  183340[0:SpR:1129.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) SkP2(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w) SkP1(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)),v,w) -> hBOOL(hAPP(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.61  185369[0:SpL:21749.1,12569.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf48(c_fequal(w))))*.
% 300.02/300.61  185366[0:SpL:21749.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(x)),skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w)))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(x)),w)),y))*.
% 300.02/300.61  185601[0:Rew:3749.0,185543.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf57(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf48(c_fequal(w))))*.
% 300.02/300.61  185540[0:SpL:21752.1,3665.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))),x))* equal(u,c_Int_Onat__aux(skf48(c_fequal(v)),y))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y))*.
% 300.02/300.61  185984[0:SpL:1120.3,3663.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(w,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf68(hAPP(c_Polynomial_OpCons(u),x),z,y)),y)**.
% 300.02/300.61  185856[0:SpL:1672.1,3663.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),x,w)),w)**.
% 300.02/300.61  186399[0:SpL:1120.3,3661.0] class_Groups_Ozero(u) || equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) equal(w,x)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf67(hAPP(c_Polynomial_OpCons(u),x),z,y)),y)**.
% 300.02/300.61  186271[0:SpL:1672.1,3661.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v)),x,w)),w)**.
% 300.02/300.61  189076[0:Rew:1148.1,189031.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,y))),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  189077[0:Rew:1148.1,189024.3] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf48(c_fequal(skf58(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))))),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),w))*.
% 300.02/300.61  1549[0:Inp] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y)),x)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x)))**.
% 300.02/300.61  76745[0:SpR:994.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(hAPP(c_Polynomial_Osmult(u),v),c_Polynomial_Omonom(u,w,x),y) SkP1(hAPP(c_Polynomial_Osmult(u),v),c_Polynomial_Omonom(u,w,x),y) -> hBOOL(hAPP(c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Omonom(u,w,x)),y)).
% 300.02/300.61  76702[0:SpR:947.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Opoly(u,v),hAPP(c_Polynomial_Opoly(u,w),x),y) SkP1(c_Polynomial_Opoly(u,v),hAPP(c_Polynomial_Opoly(u,w),x),y) -> hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Opcompose(u,v,w)),x),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Polynomial_Opoly(u,w),x)),y)).
% 300.02/300.61  76762[0:SpR:955.1,963.2] class_Rings_Oring__1(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x) -> hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),v),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,w)),x)).
% 300.02/300.61  76818[0:SpR:956.1,963.2] class_Rings_Oring__1(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x) -> hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,w)),x)).
% 300.02/300.61  76842[0:SpR:957.1,963.2] class_Rings_Oring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Int_Oring__1__class_Oof__int(u,v)),c_Int_Oring__1__class_Oof__int(u,w),x) -> hBOOL(hAPP(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Oring__1__class_Oof__int(u,w)),x)).
% 300.02/300.61  76837[0:SpR:999.1,963.2] class_RealVector_Oreal__normed__algebra(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 300.02/300.61  76838[0:SpR:1659.1,963.2] class_Rings_Oring(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(u),w),x) -> hBOOL(hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),w)),x)).
% 300.02/300.61  78554[0:SpR:1073.0,963.2] || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x) SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.61  78197[0:SpR:1078.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.61  62447[0:SpL:21745.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),u))* equal(hAPP(v,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),hAPP(c_Nat_OSuc,skf44(skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),u)))* -> equal(v,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))).
% 300.02/300.61  62430[0:SpL:21745.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))),v))* equal(hAPP(c_Nat_OSuc,skf44(skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v))),v)),hAPP(u,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,v)),u).
% 300.02/300.61  68875[0:SpL:3724.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),c_Int_Onat__aux(skf48(c_fequal(w)),skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),u))))* -> equal(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w))).
% 300.02/300.61  68858[0:SpL:3724.0,492.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf33(w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w).
% 300.02/300.61  78856[0:SpR:1059.0,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w,x) SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.61  77837[0:SpR:1079.0,963.2] || SkP2(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x) SkP1(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.61  76841[0:SpR:959.1,963.2] class_Rings_Osemiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),c_Nat_Osemiring__1__class_Oof__nat(u,v)),c_Nat_Osemiring__1__class_Oof__nat(u,w),x) -> hBOOL(hAPP(c_Nat_Osemiring__1__class_Oof__nat(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_Osemiring__1__class_Oof__nat(u,w)),x)).
% 300.02/300.61  71476[0:Rew:997.1,71392.3,997.1,71392.1] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  71192[0:Rew:1660.1,71121.3,1660.1,71121.1] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  70185[0:Rew:1686.1,70135.3,1686.1,70135.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  77935[0:Rew:1079.0,77883.2,294.0,77883.0,1079.0,77883.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf62(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  70653[0:Rew:1685.1,70582.3,1685.1,70582.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf62(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Int_Onat,x)),v)))*.
% 300.02/300.61  62443[0:SpL:21745.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v)),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(c_Int_Onat,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  170508[0:Rew:837.1,170357.3,837.1,170357.1] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf68(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170897[0:Rew:837.1,170745.3,837.1,170745.1] class_Rings_Oring__1(u) || hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),skf67(hAPP(c_Power_Opower__class_Opower(u),c_Int_Oring__1__class_Oof__int(u,v)),w,x))))* -> hBOOL(c_Int_Oring__1__class_Oof__int(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  172883[0:SpR:1065.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),v,x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),v,x) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),x)).
% 300.02/300.61  176288[0:SpL:742.0,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(v,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),hAPP(y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x))))* -> hBOOL(hAPP(hAPP(hAPP(c_COMBS(z,x1,x2),v),y),skf41(hAPP(hAPP(c_COMBS(z,x1,x2),v),y),x3,x4)))*.
% 300.02/300.61  176226[0:SpL:613.2,1081.2] class_Groups_Olinordered__ab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Ozero__class_Ozero(u)) hBOOL(c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 300.02/300.61  176199[0:SpL:615.2,1081.2] class_Rings_Oring__1__no__zero__divisors(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),c_Groups_Oone__class_Oone(u)) hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 300.02/300.61  179812[0:SpR:3724.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179723[0:SpR:747.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),v)),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),y),v)),hAPP(c_Nat_OSuc,z)))*.
% 300.02/300.61  179719[0:SpR:746.1,1075.0] class_Groups_Ogroup__add(u) ||  -> equal(hAPP(v,hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),v)),z)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Oplus__class_Oplus(u),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),y)),v)),hAPP(c_Nat_OSuc,z)))*.
% 300.02/300.61  179696[0:SpR:1683.1,1075.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Polynomial_Osmult(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Polynomial_Osmult(u),v)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179672[0:SpR:1093.1,1075.0] class_Rings_Ocomm__ring(u) ||  -> equal(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179565[0:SpR:1075.0,21745.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),x)),w))* -> equal(hAPP(c_Nat_OSuc,skf44(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),x),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),hAPP(c_Nat_OSuc,w)),hAPP(c_Nat_OSuc,x))).
% 300.02/300.61  180643[0:SpL:1700.1,464.1] class_Rings_Ocomm__semiring__1(u) class_Orderings_Owellorder(v) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x)),c_Orderings_Oord__class_OLeast(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x)))))*.
% 300.02/300.61  180899[0:SpR:1098.1,963.2] class_Groups_Ominus(u) || SkP2(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y,z)* SkP1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y,z) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y)),hAPP(x,y)),z))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  181578[0:SpL:1118.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Opoly(u,x),skf33(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v))))* -> equal(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))).
% 300.02/300.61  181554[0:SpL:1118.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf33(x,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))),hAPP(x,skf33(x,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))* -> equal(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x).
% 300.02/300.61  181528[0:SpR:1118.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y) SkP1(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  181736[0:SpL:1114.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(v,skf33(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,x),skf33(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)),v))))* -> equal(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),w),x))).
% 300.02/300.61  181712[0:SpL:1114.1,492.0] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf33(x,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))),hAPP(x,skf33(x,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))* -> equal(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x).
% 300.02/300.61  181686[0:SpR:1114.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y) SkP1(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  181970[0:SpL:1120.3,1010.1] class_Groups_Ozero(u) || equal(v,skf67(hAPP(c_Polynomial_OpCons(u),w),x,y))* equal(z,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),z),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x1),x2)))*.
% 300.02/300.61  181968[0:SpL:1120.3,1007.1] class_Groups_Ozero(u) || equal(v,skf68(hAPP(c_Polynomial_OpCons(u),w),x,y))* equal(z,w)* hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),z),v))* -> hBOOL(hAPP(hAPP(c_Polynomial_OpCons(u),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x1),x2)))*.
% 300.02/300.61  182511[0:SpL:1075.0,1890.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),hAPP(c_Nat_OSuc,x))),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),w),x)))* -> equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  183341[0:SpR:1129.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> equal(hAPP(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.61  185757[0:Res:963.2,1147.1] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x)* SkP1(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),x)).
% 300.02/300.61  186212[0:Rew:1686.1,185966.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186213[0:Rew:1685.1,185965.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186214[0:Rew:1660.1,185945.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186215[0:Rew:997.1,185944.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  185942[0:SpL:1092.2,3663.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x,w)),w)**.
% 300.02/300.61  185883[0:SpL:1092.2,3663.0] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x,w)),w)**.
% 300.02/300.61  186627[0:Rew:1686.1,186381.2] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186628[0:Rew:1685.1,186380.2] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),v)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186629[0:Rew:1660.1,186360.2] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186630[0:Rew:997.1,186359.2] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),x,w)),w)**.
% 300.02/300.61  186357[0:SpL:1092.2,3661.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x,w)),w)**.
% 300.02/300.61  186298[0:SpL:1092.2,3661.0] class_Rings_Oidom(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),x,w)),w)**.
% 300.02/300.61  187035[0:SpR:1075.0,1144.2] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y))))*.
% 300.02/300.61  186974[0:SpR:1075.0,1144.2] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y),c_Groups_Ozero__class_Ozero(u)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),y))),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Groups_Otimes__class_Otimes(u)),x),hAPP(c_Nat_OSuc,y))))*.
% 300.02/300.61  188049[0:Res:3664.0,1890.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v,u)),u)** equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  188048[0:Res:3664.0,1892.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)),v,u)),u)** equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  187835[0:SpR:1091.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 300.02/300.61  187834[0:SpR:1065.1,3664.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)),w,v)),v)**.
% 300.02/300.61  187801[0:SpR:1092.2,3664.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),x,w)),w)**.
% 300.02/300.61  187778[0:SpR:1091.1,3664.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.61  187750[0:SpR:1092.2,3664.0] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.61  188622[0:Res:3662.0,1890.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))),v,u)),u)** equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  188621[0:Res:3662.0,1892.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)),v,u)),u)** equal(w,c_Groups_Oone__class_Oone(tc_Nat_Onat)).
% 300.02/300.61  188408[0:SpR:1091.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 300.02/300.61  188407[0:SpR:1065.1,3662.0] class_Groups_Omonoid__mult(u) ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),hAPP(c_Nat_OSuc,x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),x)),w,v)),v)**.
% 300.02/300.61  188374[0:SpR:1092.2,3662.0] class_Rings_Oidom(u) || equal(v,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)),x,w)),w)**.
% 300.02/300.61  188351[0:SpR:1091.1,3662.0] class_Rings_Ocomm__semiring__1(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.61  188323[0:SpR:1092.2,3662.0] class_Rings_Oidom(u) || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w),hAPP(c_Groups_Ouminus__class_Ouminus(u),x))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)),w,v)),v)**.
% 300.02/300.61  78281[0:SpL:1078.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),u))))* -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))).
% 300.02/300.61  78262[0:SpL:1078.0,492.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf33(w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))* -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w).
% 300.02/300.61  78616[0:SpL:1073.0,492.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf33(w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))* -> equal(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w).
% 300.02/300.61  78635[0:SpL:1073.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf33(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),u))))* -> equal(u,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))).
% 300.02/300.61  70654[0:Rew:1685.1,70566.1] class_Groups_Ogroup__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf35(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf34(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))),v)))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 300.02/300.61  70186[0:Rew:1686.1,70119.1] class_Groups_Oab__group__add(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf35(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf34(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 300.02/300.61  71477[0:Rew:997.1,71376.1] class_RealVector_Oreal__normed__algebra(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf35(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 300.02/300.61  71193[0:Rew:1660.1,71105.1] class_Rings_Oring(u) || equal(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf35(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf34(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)))*.
% 300.02/300.61  76973[0:SpR:747.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w))* SkP1(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)) -> hBOOL(w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)))*.
% 300.02/300.61  76974[0:SpR:746.1,963.2] class_Groups_Ogroup__add(u) || SkP2(c_Groups_Oplus__class_Oplus(u),v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w))* SkP1(c_Groups_Oplus__class_Oplus(u),v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)) -> hBOOL(w) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)))*.
% 300.02/300.61  76848[0:SpR:3761.0,963.2] || SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w),x) SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(v)),w)),x)).
% 300.02/300.61  78920[0:SpL:1059.0,492.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf33(w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))),hAPP(w,skf33(w,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))))* -> equal(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)),w).
% 300.02/300.61  77867[0:SpL:1079.0,492.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf33(w,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))),hAPP(w,skf33(w,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))))* -> equal(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w).
% 300.02/300.61  78939[0:SpL:1059.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),skf33(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),u))))* -> equal(u,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))).
% 300.02/300.61  77886[0:SpL:1079.0,492.0] || equal(hAPP(u,skf33(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),u)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),skf33(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),u))))* -> equal(u,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w))).
% 300.02/300.61  66765[0:SpR:2543.1,12637.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) -> hBOOL(hAPP(v,c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(skf48(c_fequal(skf62(v,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u))**.
% 300.02/300.61  62448[0:SpL:21745.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))))),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))))),u))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),v)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v))*.
% 300.02/300.61  1726[0:Rew:414.0,1550.0] || hBOOL(hAPP(u,v)) hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf53(u,w))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) -> hBOOL(hAPP(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),x),w))))*.
% 300.02/300.61  169951[0:SpR:10145.1,963.2] || SkP2(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v))) SkP1(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v))) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v))))*.
% 300.02/300.61  170365[0:Res:937.2,1007.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf68(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  170514[0:Rew:936.1,170301.3,936.1,170301.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf68(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170515[0:Rew:941.1,170298.3,941.1,170298.1] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf68(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170520[0:Rew:3724.0,170345.2,3614.0,170345.0,2525.0,170345.0,3724.0,170345.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170753[0:Res:937.2,1010.1] class_Rings_Ocomm__ring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),skf67(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  170903[0:Rew:936.1,170689.3,936.1,170689.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),skf67(c_Polynomial_Ocoeff(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Ocoeff(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170904[0:Rew:941.1,170686.3,941.1,170686.1] class_Rings_Ocomm__ring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),skf67(c_Polynomial_Opoly(u,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170909[0:Rew:3724.0,170733.2,3614.0,170733.0,2525.0,170733.0,3724.0,170733.0] || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  172885[0:SpR:1065.1,12638.1] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),hAPP(c_Nat_OSuc,w))) equal(skf48(c_fequal(skf62(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Int_Onat,v)),w)),v))),v)**.
% 300.02/300.61  174606[0:Rew:1079.0,174486.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf68(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174609[0:Rew:1073.0,174449.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174936[0:Rew:1079.0,174815.1] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf67(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174939[0:Rew:1073.0,174778.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  176483[0:Rew:1079.0,176283.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),skf41(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),v),w)),z,x1))))*.
% 300.02/300.61  176264[0:SpL:21745.1,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x))* hBOOL(hAPP(c_Nat_OSuc,skf44(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x)),skf41(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,x)),y,z)))*.
% 300.02/300.61  176484[0:Rew:1059.0,176253.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),w),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),z,x1))))*.
% 300.02/300.61  176486[0:Rew:1073.0,176229.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),w),skf41(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),z,x1))))*.
% 300.02/300.61  176485[0:Rew:1078.0,176252.3] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),skf41(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),z,x1))))*.
% 300.02/300.61  174938[0:Rew:1078.0,174795.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174608[0:Rew:1078.0,174466.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  170901[0:Rew:45054.0,170900.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))*.
% 300.02/300.61  170512[0:Rew:45054.0,170511.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))*.
% 300.02/300.61  170899[0:Rew:1657.0,170736.2,1657.0,170736.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))*.
% 300.02/300.61  170510[0:Rew:1657.0,170348.2,1657.0,170348.0] || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),u)),v,w))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))*.
% 300.02/300.61  179840[0:SpR:1079.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179835[0:SpR:1065.1,1075.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))),v),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w))),v),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179798[0:SpR:1074.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179782[0:SpR:1059.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179781[0:SpR:1078.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179779[0:SpR:1082.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,w)),x),hAPP(hAPP(c_Power_Opower_Opower(y,z,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),x),w)),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.61  179776[0:SpR:1064.1,1075.0] class_Power_Opower(u) ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179775[0:SpR:1689.1,1075.0] class_Groups_Omonoid__mult(u) ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Otimes__class_Otimes(u),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179741[0:SpR:1073.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),w),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))),w),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  179664[0:SpR:1661.1,1075.0] class_Rings_Oring(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  181284[0:SpR:1075.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),hAPP(w,x)),y),hAPP(hAPP(c_Power_Opower_Opower(z,x1,w),x),x2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Power_Opower_Opower(z,x1,w),x),hAPP(c_Nat_OSuc,x2))),hAPP(y,hAPP(hAPP(c_Power_Opower_Opower(z,x1,w),x),x2))))*.
% 300.02/300.61  181250[0:SpR:1661.1,1098.1] class_Rings_Oring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),c_Groups_Ouminus__class_Ouminus(u)),x),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z)),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z)))))*.
% 300.02/300.61  181050[0:SpR:1075.0,1098.1] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),hAPP(x,y)),hAPP(hAPP(c_Power_Opower_Opower(z,x1,x),y),x2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,hAPP(hAPP(c_Power_Opower_Opower(z,x1,x),y),x2))),hAPP(hAPP(c_Power_Opower_Opower(z,x1,x),y),hAPP(c_Nat_OSuc,x2))))*.
% 300.02/300.61  181016[0:SpR:1661.1,1098.1] class_Rings_Oring(u) class_Groups_Ominus(v) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(w,v)),x),c_Groups_Ouminus__class_Ouminus(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(v),hAPP(x,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),z)))*.
% 300.02/300.61  180949[0:SpR:1098.1,1075.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(v,u)),w),x),y),hAPP(hAPP(c_Power_Opower_Opower(z,x1,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y))),hAPP(x,y)),x2)),hAPP(hAPP(c_Power_Opower_Opower(z,x1,hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(w,y))),hAPP(x,y)),hAPP(c_Nat_OSuc,x2)))**.
% 300.02/300.61  180900[0:SpR:1098.1,1075.0] class_Groups_Ominus(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w)),hAPP(hAPP(c_Power_Opower_Opower(y,z,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x1,u)),v),x)),w),x2)),hAPP(hAPP(c_Power_Opower_Opower(y,z,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x1,u)),v),x)),w),hAPP(c_Nat_OSuc,x2)))**.
% 300.02/300.61  181622[0:Rew:1118.1,181576.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.61  181623[0:Rew:1118.1,181574.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.61  181529[0:SpR:1118.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))),x),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))),x),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.61  181768[0:Rew:1114.1,181734.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf67(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.61  181769[0:Rew:1114.1,181732.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf68(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.61  181687[0:SpR:1114.1,1075.0] class_Rings_Ocomm__semiring__0(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))),x),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))),x),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.61  182201[0:SpL:1114.1,1115.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ozero(u) || equal(hAPP(c_Polynomial_Ocoeff(u,v),skf40(hAPP(hAPP(c_Polynomial_Osmult(u),w),x),v,u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(c_Polynomial_Ocoeff(u,x),skf40(hAPP(hAPP(c_Polynomial_Osmult(u),w),x),v,u))))* -> equal(v,hAPP(hAPP(c_Polynomial_Osmult(u),w),x)).
% 300.02/300.61  182187[0:SpL:1114.1,1115.1] class_Rings_Ocomm__semiring__0(u) class_Groups_Ozero(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf40(x,hAPP(hAPP(c_Polynomial_Osmult(u),v),w),u))),hAPP(c_Polynomial_Ocoeff(u,x),skf40(x,hAPP(hAPP(c_Polynomial_Osmult(u),v),w),u)))* -> equal(hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x).
% 300.02/300.61  183451[0:Rew:1129.1,183374.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) equal(hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf35(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))),hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),skf34(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,u)))*.
% 300.02/300.61  185364[0:SpL:21749.1,383.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))))),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))*.
% 300.02/300.61  185292[0:SpR:21749.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u,x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v)),u,x) -> hBOOL(hAPP(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 300.02/300.61  185604[0:Rew:3749.0,185538.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))))),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(hAPP(c_Int_Onat,skf47(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))*.
% 300.02/300.61  185466[0:SpR:21752.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) SkP2(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u,x)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u,x) -> hBOOL(hAPP(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 300.02/300.61  187847[0:SpR:1098.1,3664.0] class_Groups_Ominus(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),v),y),x,w)),w)**.
% 300.02/300.61  187716[0:SpR:179332.0,3664.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x),w)),v,u)),u)**.
% 300.02/300.61  188420[0:SpR:1098.1,3662.0] class_Groups_Ominus(u) ||  -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))),hAPP(y,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)) equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),v),y),x,w)),w)**.
% 300.02/300.61  188289[0:SpR:179332.0,3662.0] ||  -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),c_Int_Onat__aux(skf48(c_fequal(w)),x))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),x),w)),v,u)),u)**.
% 300.02/300.61  1551[0:Inp] class_Rings_Ocomm__ring__1(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))))),c_Polynomial_Osynthetic__div(u,w,v))),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Polynomial_Opoly(u,w),v)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))),w)**.
% 300.02/300.61  173152[0:SpR:1091.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v,w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v,w) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),w)).
% 300.02/300.61  174493[0:Res:963.2,1006.0] || SkP2(u,v,skf68(hAPP(u,v),w,x))* SkP1(u,v,skf68(hAPP(u,v),w,x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf68(hAPP(u,v),w,x)))* hBOOL(hAPP(hAPP(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  174822[0:Res:963.2,1009.0] || SkP2(u,v,skf67(hAPP(u,v),w,x))* SkP1(u,v,skf67(hAPP(u,v),w,x)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf67(hAPP(u,v),w,x)))* hBOOL(hAPP(hAPP(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  175597[0:Res:1649.2,1089.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(c_Nat_OSuc,skf55(x,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))))*.
% 300.02/300.61  175879[0:Res:1649.2,1090.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),w),hAPP(c_Nat_OSuc,skf55(x,hAPP(c_Rings_Odvd__class_Odvd(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))))))*.
% 300.02/300.61  176291[0:Res:963.2,1081.2] class_Rings_Osemiring__0(u) class_Rings_Odvd(u) || SkP2(v,w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y))* SkP1(v,w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)))* hBOOL(hAPP(hAPP(v,w),skf41(hAPP(v,w),z,x1)))*.
% 300.02/300.61  179607[0:SpR:1075.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),hAPP(c_Nat_OSuc,y)),hAPP(hAPP(c_Power_Opower_Opower(z,x1,hAPP(w,x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y)),x2)),hAPP(hAPP(c_Power_Opower_Opower(z,x1,hAPP(w,x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,w),x),y)),hAPP(c_Nat_OSuc,x2)))**.
% 300.02/300.61  179471[0:SpR:1075.0,963.2] || SkP2(u,v,hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y))* SkP1(u,v,hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y)) -> hBOOL(hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),hAPP(c_Nat_OSuc,y))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y)))*.
% 300.02/300.61  180948[0:SpR:1098.1,963.2] class_Groups_Ominus(u) || SkP2(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w),y)* SkP1(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,w)),hAPP(x,w),y) -> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(z,u)),v),x),w),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(x,w)),y)).
% 300.02/300.61  185293[0:SpR:21749.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(u,v)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v))),u),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),v))),u),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  185467[0:SpR:21752.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(c_Int_Onat__aux(skf48(c_fequal(skf44(u,v))),w),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w))),u),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w))),u),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  186807[0:Res:1143.1,879.1] class_Rings_Olinordered__ring(u) class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),c_Groups_Ozero__class_Ozero(u)))* -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),c_Groups_Ozero__class_Ozero(u)).
% 300.02/300.61  187817[0:SpR:21752.1,3664.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x)),v,u)),u)**.
% 300.02/300.61  188390[0:SpR:21752.1,3662.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)),w)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(skf44(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v),w))),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),v)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(w)),x)),v,u)),u)**.
% 300.02/300.61  188979[0:SpR:1148.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x,y) SkP1(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x,y) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),x)),w),y))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  189078[0:Rew:1148.1,189035.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x,y))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.61  189079[0:Rew:1148.1,189033.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x,y))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))),w))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,z),x1)).
% 300.02/300.61  1565[0:Inp] class_Rings_Oordered__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 300.02/300.61  1564[0:Inp] class_Rings_Oordered__semiring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 300.02/300.61  1563[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 300.02/300.61  1562[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 300.02/300.61  1561[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 300.02/300.61  1560[0:Inp] class_Rings_Olinordered__semiring__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),v)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)))*.
% 300.02/300.61  1556[0:Inp] class_Rings_Ocomm__ring(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w))),z)))* -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),z))).
% 300.02/300.61  1557[0:Inp] class_Rings_Ocomm__ring(u) class_Rings_Odvd(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),w)) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),x),y))) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),w))),y)))*.
% 300.02/300.61  76701[0:SpR:1004.1,963.2] class_Rings_Ocomm__semiring__0(u) || SkP2(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),y)* SkP1(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x),y) -> hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,v,w)),x),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),w),x)),y)).
% 300.02/300.61  76836[0:SpR:931.1,963.2] class_Lattices_Oab__semigroup__idem__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)).
% 300.02/300.61  62429[0:SpL:21745.1,441.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),u)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))),hAPP(c_Nat_OSuc,skf44(skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u))),u)))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(v,w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)))*.
% 300.02/300.61  21767[0:Rew:21719.1,21240.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),x))),y))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))),w)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))),y)))*.
% 300.02/300.61  21768[0:Rew:21719.1,21241.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),x))),y))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),x))),w)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),x))),y)))*.
% 300.02/300.61  21758[0:Rew:21719.1,21231.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),y))).
% 300.02/300.61  21759[0:Rew:21719.1,21232.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),y)))**.
% 300.02/300.61  21760[0:Rew:21719.1,21233.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),y))).
% 300.02/300.61  21762[0:Rew:21719.1,21234.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),x)),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),y)))*.
% 300.02/300.61  21761[0:Rew:21719.1,21235.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),x)),y)).
% 300.02/300.61  21763[0:Rew:21719.1,21236.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) -> equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),y)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),x)),y))**.
% 300.02/300.61  21765[0:Rew:21719.1,21237.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),x)),y)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),y)))*.
% 300.02/300.61  21764[0:Rew:21719.1,21238.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),w))),x)),c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),w))),y)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Int_Onat__aux(skf48(c_fequal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),skf44(u,v)),w))),x)),y)).
% 300.02/300.61  76700[0:SpR:2543.1,963.2] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) SkP2(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v) SkP1(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u),v) -> hBOOL(hAPP(c_Int_Onat__aux(u,c_Groups_Oone__class_Oone(tc_Nat_Onat)),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),u)),v))*.
% 300.02/300.61  170385[0:Res:788.1,1007.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf68(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.61  170522[0:Rew:284.0,170344.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w)),u))* hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Nat_OSuc,skf44(skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.61  170773[0:Res:788.1,1010.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),skf67(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),v,w)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.61  170911[0:Rew:284.0,170732.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w)),u))* hBOOL(hAPP(c_Nat_OSuc,u)) hBOOL(hAPP(c_Nat_OSuc,skf44(skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))*.
% 300.02/300.61  172300[0:SpR:1683.1,963.2] class_Rings_Ocomm__ring(u) || SkP2(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),x) SkP1(hAPP(c_Polynomial_Osmult(u),v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),w)),x)).
% 300.02/300.61  173101[0:SpR:1091.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),v)* SkP1(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),v) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),v))*.
% 300.02/300.61  176337[0:Res:893.2,1081.2] class_Groups_Olinordered__ab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),skf41(c_Orderings_Oord__class_Oless__eq(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),y,z)))*.
% 300.02/300.61  176319[0:Res:864.2,1081.2] class_Groups_Olinordered__ab__group__add(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),skf41(c_Orderings_Oord__class_Oless(u,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x))),y,z)))*.
% 300.02/300.61  176248[0:SpL:902.2,1081.2] class_Rings_Oidom(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || equal(w,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y))* hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),x),y)),z,x1)))*.
% 300.02/300.61  179836[0:SpR:1091.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),v),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),v),y)),hAPP(hAPP(c_Power_Opower_Opower(w,x,hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),v),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.61  180156[0:SpR:179332.0,963.2] || SkP2(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)),u,x)* SkP1(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v),w)),u,x) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(w)),v)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),x)).
% 300.02/300.61  181624[0:Rew:1118.1,181532.2,1118.1,181532.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Nat_OSuc,skf55(x,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))))*.
% 300.02/300.61  181770[0:Rew:1114.1,181690.2,1114.1,181690.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),x))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Nat_OSuc,skf55(x,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))))))*.
% 300.02/300.61  186217[0:Rew:1118.1,185989.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.61  186218[0:Rew:1114.1,185988.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.61  186220[0:Rew:1078.0,185946.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.61  186221[0:Rew:1073.0,185920.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.61  186632[0:Rew:1118.1,186404.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.61  186633[0:Rew:1114.1,186403.2] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))))* equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),y,x)),x)**.
% 300.02/300.61  186635[0:Rew:1078.0,186361.1] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.61  186636[0:Rew:1073.0,186335.1] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x))))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),x,w)),w)**.
% 300.02/300.61  186820[0:Res:1143.1,735.0] class_Rings_Olinordered__ring(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))))*.
% 300.02/300.61  189037[0:SpL:1148.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(v,skf33(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x)),v)),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,w),skf33(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x)),v))),x))* -> equal(v,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),w),x))).
% 300.02/300.61  189011[0:SpL:1148.1,492.0] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf33(w,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))))),x),hAPP(w,skf33(w,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)))))* -> equal(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)),w).
% 300.02/300.61  188980[0:SpR:1148.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))),w),x1)),hAPP(hAPP(c_Power_Opower_Opower(y,z,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x))),w),hAPP(c_Nat_OSuc,x1)))**.
% 300.02/300.61  76812[0:SpR:747.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w),x) -> hBOOL(hAPP(w,x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),w)),x)).
% 300.02/300.61  78729[0:Rew:1073.0,78557.1,1073.0,78557.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))))*.
% 300.02/300.61  167607[0:Rew:414.0,167445.1,1073.0,167445.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w))) -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))))))*.
% 300.02/300.61  170366[0:Res:963.2,1007.1] || SkP2(u,v,skf68(hAPP(u,v),w,x))* SkP1(u,v,skf68(hAPP(u,v),w,x)) hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf68(hAPP(u,v),w,x)))* hBOOL(hAPP(hAPP(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  170516[0:Rew:1686.1,170347.3,1686.1,170347.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170517[0:Rew:1685.1,170346.3,1685.1,170346.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf68(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),v)))*.
% 300.02/300.61  170518[0:Rew:1660.1,170338.3,1660.1,170338.1] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170519[0:Rew:997.1,170337.3,997.1,170337.1] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170521[0:Rew:1079.0,170359.2,294.0,170359.0,1079.0,170359.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf68(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170754[0:Res:963.2,1010.1] || SkP2(u,v,skf67(hAPP(u,v),w,x))* SkP1(u,v,skf67(hAPP(u,v),w,x)) hBOOL(hAPP(hAPP(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,v),skf67(hAPP(u,v),w,x)))* hBOOL(hAPP(hAPP(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  170905[0:Rew:1686.1,170735.3,1686.1,170735.1] class_Groups_Oab__group__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170906[0:Rew:1685.1,170734.3,1685.1,170734.1] class_Groups_Ogroup__add(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),skf67(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x)),v)))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)),v)))*.
% 300.02/300.61  170907[0:Rew:1660.1,170726.3,1660.1,170726.1] class_Rings_Oring(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170908[0:Rew:997.1,170725.3,997.1,170725.1] class_RealVector_Oreal__normed__algebra(u) || hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w,x))))* -> hBOOL(hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170910[0:Rew:1079.0,170747.2,294.0,170747.0,1079.0,170747.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf67(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  172222[0:SpR:1093.1,963.2] class_Rings_Ocomm__ring(u) || SkP2(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x) SkP1(c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Polynomial_Osmult(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)).
% 300.02/300.61  174471[0:SpL:21745.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w)),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  174800[0:SpL:21745.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w)),u))* hBOOL(hAPP(c_Nat_OSuc,skf44(skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),v,w),u))) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,x),y)).
% 300.02/300.61  167902[0:Rew:412.0,167764.1,1078.0,167764.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))))*.
% 300.02/300.61  78360[0:Rew:1078.0,78200.1,1078.0,78200.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),w))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Nat_OSuc,skf55(w,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))))))*.
% 300.02/300.61  180159[0:SpR:179332.0,12638.1] || hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),c_Int_Onat__aux(skf48(c_fequal(w)),v))) equal(skf48(c_fequal(skf62(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onat,u)),v),w)),u))),u)**.
% 300.02/300.61  180157[0:SpR:179332.0,1075.0] ||  -> equal(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),c_Int_Onat__aux(skf48(c_fequal(v)),w)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v))),u),z)),hAPP(hAPP(c_Power_Opower_Opower(x,y,c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),w),v))),u),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  180619[0:SpR:1700.1,739.1] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__1(v) ||  -> equal(c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x)),hAPP(c_Nat_OSuc,y),x),c_Nat_Osemiring__1__class_Oof__nat__aux(v,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),w),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),x)),y,c_Groups_Oone__class_Oone(u)))*.
% 300.02/300.61  181625[0:Rew:1118.1,181573.3,1118.1,181573.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(c_Int_Onat,y))))*.
% 300.02/300.61  181771[0:Rew:1114.1,181731.3,1114.1,181731.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf62(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(c_Int_Onat,y))))*.
% 300.02/300.61  185990[0:SpL:1098.1,3663.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf68(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w),z,y)),y)**.
% 300.02/300.61  186405[0:SpL:1098.1,3661.0] class_Groups_Ominus(u) || hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(w,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* equal(c_Int_Onat__aux(skf48(c_fequal(z)),skf67(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(x,u)),v),w),z,y)),y)**.
% 300.02/300.61  186804[0:Res:1143.1,969.1] class_Rings_Olinordered__ring(u) class_Orderings_Opreorder(u) ||  -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,c_Groups_Ozero__class_Ozero(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w)))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),w))),c_Groups_Ozero__class_Ozero(u)))*.
% 300.02/300.61  189080[0:Rew:1148.1,189027.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))),w)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),y,x)),x)**.
% 300.02/300.61  189081[0:Rew:1148.1,189026.2] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),x),y))),w)) equal(c_Int_Onat__aux(skf48(c_fequal(y)),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),y,x)),x)**.
% 300.02/300.61  189082[0:Rew:1148.1,188983.2,1148.1,188983.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),w)),x)) -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Nat_OSuc,skf55(w,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),x)))))),x))*.
% 300.02/300.61  1571[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),z)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y)),w)),x)),z)).
% 300.02/300.61  1567[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),z)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),y)),w)),x)),z)).
% 300.02/300.61  1570[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)),y)),z)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),z)))*.
% 300.02/300.61  1566[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),x)),y)),z)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),y)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),x)),z)))*.
% 300.02/300.61  1572[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),y)),z))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)),z)))*.
% 300.02/300.61  1568[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),w),x)),y)),z))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),x),y)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)),z)))*.
% 300.02/300.61  1573[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),z)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),v)),w)),z))).
% 300.02/300.61  1569[0:Inp] class_Rings_Oordered__ring(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),w)),z)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),y),v)),w)),z))).
% 300.02/300.61  79128[0:SpR:1074.0,963.2] || SkP2(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w),x) SkP1(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),w)),x))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),w)),x)).
% 300.02/300.61  78730[0:Rew:1073.0,78632.2,1073.0,78632.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  167608[0:Rew:1073.0,167525.2,414.0,167525.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf62(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  172452[0:SpR:1064.1,963.2] class_Power_Opower(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x)).
% 300.02/300.61  172657[0:SpR:1689.1,963.2] class_Groups_Omonoid__mult(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w),x) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),hAPP(c_Nat_OSuc,w)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(u),v),w)),x)).
% 300.02/300.61  176180[0:SpL:1672.1,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),hAPP(c_Nat_OSuc,y))) -> hBOOL(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),y)),skf41(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x),y)),z,x1)))*.
% 300.02/300.61  78361[0:Rew:1078.0,78278.2,1078.0,78278.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  167903[0:Rew:1078.0,167838.2,412.0,167838.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf62(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(c_Int_Onat,x))))*.
% 300.02/300.61  179226[0:SpR:1082.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x),y)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x),y) -> hBOOL(hAPP(hAPP(c_Polynomial_Opoly(u,c_Polynomial_Omonom(u,v,x)),w),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(u),w),x)),y)).
% 300.02/300.61  185978[0:SpL:1065.1,3663.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)),x,w)),w)**.
% 300.02/300.61  186393[0:SpL:1065.1,3661.0] class_Groups_Omonoid__mult(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,v))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v)),x,w)),w)**.
% 300.02/300.61  189083[0:Rew:1148.1,189032.3,1148.1,189032.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf62(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(c_Int_Onat,y))),w))*.
% 300.02/300.61  68926[0:Rew:3724.0,68857.0] || equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),c_Int_Onat__aux(skf48(c_fequal(v)),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),u),v)))*.
% 300.02/300.61  176225[0:SpL:1091.1,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),skf41(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y,z)))*.
% 300.02/300.61  181626[0:Rew:1118.1,181553.1] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf35(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf34(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.61  181772[0:Rew:1114.1,181711.1] class_Rings_Ocomm__semiring__0(u) || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf35(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf34(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)))*.
% 300.02/300.61  185768[0:Res:1649.2,1147.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x)) -> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),w),hAPP(c_Nat_OSuc,skf55(x,hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_Osmult(u),v),w))))))*.
% 300.02/300.61  185979[0:SpL:1091.1,3663.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf68(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 300.02/300.61  186394[0:SpL:1091.1,3661.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),v),w)))* equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf67(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),w,v)),v)**.
% 300.02/300.61  76813[0:SpR:746.1,963.2] class_Groups_Ogroup__add(u) || SkP2(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x)* SkP1(hAPP(c_Groups_Oplus__class_Oplus(u),v),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w),x) -> hBOOL(hAPP(w,x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),w)),x)).
% 300.02/300.61  169985[0:SpR:10145.1,963.2] || SkP2(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),w)* SkP1(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v)),w) -> equal(v,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) hBOOL(hAPP(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),u),skf50(v))),w)).
% 300.02/300.61  180623[0:SpR:1700.1,12638.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(c_Int_Onat,w))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) -> hBOOL(c_Groups_Oone__class_Oone(u)) equal(skf48(c_fequal(skf62(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),hAPP(c_Int_Onat,w))),w))),w)**.
% 300.02/300.61  185422[0:Rew:284.0,185296.2,276.0,185296.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),w)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),w)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(hAPP(c_Nat_OSuc,skf55(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),w)))*.
% 300.02/300.61  185614[0:Rew:3749.0,185470.3,284.0,185470.2,276.0,185470.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,skf55(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),v)) hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u)) -> hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),w)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(c_Nat_OSuc,skf55(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),v)))*.
% 300.02/300.61  78362[0:Rew:1078.0,78261.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf35(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf34(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)))*.
% 300.02/300.61  78731[0:Rew:1073.0,78615.0] || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf35(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf34(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)))*.
% 300.02/300.61  76706[0:SpR:1661.1,963.2] class_Rings_Oring(u) || SkP2(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x)* SkP1(c_Groups_Ouminus__class_Ouminus(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w)),x) -> hBOOL(hAPP(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),w))),x))*.
% 300.02/300.61  79023[0:Rew:1059.0,78919.0] || equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf35(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf34(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),u),v)))*.
% 300.02/300.61  77936[0:Rew:1079.0,77866.0] || equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf35(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),v),skf34(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v))))))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),u),v)))*.
% 300.02/300.61  176279[0:SpL:1091.1,1081.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u))),y,z)))*.
% 300.02/300.61  179606[0:SpR:1075.0,963.2] || SkP2(hAPP(u,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y),z)* SkP1(hAPP(u,v),hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y),z) -> hBOOL(hAPP(hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),hAPP(c_Nat_OSuc,y)),z)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(w,x,u),v),y)),z)).
% 300.02/300.61  180620[0:SpR:1700.1,963.2] class_Rings_Ocomm__semiring__1(u) || SkP2(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)),w,x)* SkP1(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),w)),w,x) -> hBOOL(hAPP(c_Groups_Oone__class_Oone(u),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,w),x)).
% 300.02/300.61  181627[0:Rew:1118.1,181577.3,1118.1,181577.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))*.
% 300.02/300.61  181628[0:Rew:1118.1,181575.3,1118.1,181575.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Opoly(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))*.
% 300.02/300.61  181773[0:Rew:1114.1,181735.3,1114.1,181735.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf67(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))*.
% 300.02/300.61  181774[0:Rew:1114.1,181733.3,1114.1,181733.1] class_Rings_Ocomm__semiring__0(u) || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),skf68(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Polynomial_Osmult(u),v),w)),x,y))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),hAPP(c_Polynomial_Ocoeff(u,w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))))*.
% 300.02/300.61  185376[0:SpL:21749.1,839.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  185262[0:SpR:21749.1,1075.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y)),x)) -> equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y),x)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.61  185421[0:Rew:284.0,185377.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Int_Onat,x)))*.
% 300.02/300.61  185605[0:Rew:3749.0,185550.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Int_Onat,x)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))).
% 300.02/300.61  185606[0:Rew:3749.0,185436.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y)),w)) -> equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf44(hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),y),w)),hAPP(hAPP(c_Power_Opower_Opower(u,v,c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(w)),x)),hAPP(c_Nat_OSuc,y)))**.
% 300.02/300.61  185612[0:Rew:3749.0,185551.2,284.0,185551.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf62(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(c_Int_Onat,x)))*.
% 300.02/300.61  185845[0:SpL:179332.0,3663.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(u)),v))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),u)),x,w)),w)**.
% 300.02/300.61  186260[0:SpL:179332.0,3661.0] || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Int_Onat__aux(skf48(c_fequal(u)),v))) -> hBOOL(hAPP(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),u)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Opoly(tc_Int_Oint,c_Polynomial_Omonom(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),v),u)),x,w)),w)**.
% 300.02/300.61  1584[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),x)),u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),y)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,x),y)).
% 300.02/300.61  1585[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),x)),v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),y)),w)))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,y),x)).
% 300.02/300.61  170526[0:Rew:1073.0,170322.2,414.0,170322.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf68(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170915[0:Rew:1073.0,170710.2,414.0,170710.0] || hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),skf67(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170914[0:Rew:1078.0,170727.2,412.0,170727.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf67(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  170525[0:Rew:1078.0,170339.2,412.0,170339.0] || hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v))) hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),skf68(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),v)),w,x))))* -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z))))*.
% 300.02/300.61  180621[0:SpR:1700.1,1075.0] class_Rings_Ocomm__semiring__1(u) ||  -> equal(hAPP(c_Groups_Oone__class_Oone(u),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y))),y),z)),hAPP(hAPP(c_Power_Opower_Opower(v,w,c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),x),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),y))),y),hAPP(c_Nat_OSuc,z)))**.
% 300.02/300.61  180888[0:Rew:1190.1,180874.2] class_Rings_Ocomm__semiring__1(u) class_Rings_Oring__1__no__zero__divisors(u) || equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)))),c_Groups_Oone__class_Oone(u))** -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),c_Groups_Oone__class_Oone(u)),c_Groups_Oone__class_Oone(u)),hAPP(c_Groups_Ouminus__class_Ouminus(u),c_Groups_Oone__class_Oone(u))).
% 300.02/300.61  184263[0:Res:963.2,1142.0] || SkP2(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))) SkP1(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),v),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),w))))* hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),u),v)).
% 300.02/300.61  185371[0:SpL:21749.1,12635.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))))),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))))),v)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))*.
% 300.02/300.61  185607[0:Rew:3749.0,185545.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))))),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf48(c_fequal(skf58(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))))),u)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w))*.
% 300.02/300.61  189084[0:Rew:1148.1,189010.1] class_Rings_Ocomm__semiring__1(u) || equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf35(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))),w),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf34(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w))))),w))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(x,y,c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)))*.
% 300.02/300.61  189085[0:Rew:1148.1,189036.3,1148.1,189036.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf67(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x,y))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))),w))*.
% 300.02/300.61  189086[0:Rew:1148.1,189034.3,1148.1,189034.1] class_Rings_Ocomm__semiring__1(u) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),w)) hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),skf68(c_Polynomial_Opoly(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),v),w)),x,y))),w))* -> hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(c_Polynomial_Opoly(u,v),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),z),x1))),w))*.
% 300.02/300.61  1727[0:Rew:1383.1,1588.1] class_RealVector_Oreal__normed__algebra(u) ||  -> equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),v),w)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),y)),y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),x),y))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),v),x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),w),y)))**.
% 300.02/300.61  185382[0:SpL:21749.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),v)) equal(hAPP(w,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w),v)))* -> equal(w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))).
% 300.02/300.61  185358[0:SpL:21749.1,492.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),w)) equal(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w))),w)),hAPP(u,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u).
% 300.02/300.61  185608[0:Rew:3749.0,185556.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),u)) equal(hAPP(w,skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w)),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf33(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w),u)))* -> equal(w,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))).
% 300.02/300.61  185609[0:Rew:3749.0,185532.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))),v)) equal(c_Int_Onat__aux(skf48(c_fequal(w)),skf44(skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w))),v)),hAPP(u,skf33(u,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)))))* -> equal(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(v)),w)),u).
% 300.02/300.61  176278[0:SpL:1065.1,1081.2] class_Groups_Omonoid__mult(u) class_Rings_Osemiring__0(v) class_Rings_Odvd(v) || hBOOL(hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),hAPP(c_Nat_OSuc,y))) -> hBOOL(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y)),skf41(hAPP(c_Groups_Otimes__class_Otimes(u),hAPP(hAPP(c_Power_Opower__class_Opower(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(v),w),x)),y)),z,x1)))*.
% 300.02/300.61  185380[0:SpL:21749.1,1009.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  185378[0:SpL:21749.1,1006.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  185610[0:Rew:3749.0,185554.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  185611[0:Rew:3749.0,185552.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat,y),z)).
% 300.02/300.61  185881[0:SpL:1700.1,3663.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf68(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x,w)),w)**.
% 300.02/300.61  186296[0:SpL:1700.1,3661.0] class_Rings_Ocomm__semiring__1(u) || hBOOL(c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),w),x)))* equal(c_Int_Onat__aux(skf48(c_fequal(x)),skf67(c_Polynomial_Ocoeff(u,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),v),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(u)))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),x,w)),w)**.
% 300.02/300.61  185423[0:Rew:284.0,185381.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  185424[0:Rew:284.0,185379.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),v)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  185615[0:Rew:3749.0,185555.2,284.0,185555.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf67(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  185616[0:Rew:3749.0,185553.2,284.0,185553.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x)),u)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(u)),v)) hBOOL(c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf68(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),w,x),u)))* -> hBOOL(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),y),z)))*.
% 300.02/300.61  185357[0:SpL:21749.1,441.0] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),v)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),c_Int_Onat__aux(skf48(c_fequal(u)),skf44(skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),v)))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 300.02/300.61  185613[0:Rew:3749.0,185531.1] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),u)) equal(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)),skf34(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))),c_Int_Onat__aux(skf48(c_fequal(v)),skf44(skf35(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v))),u)))** -> c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(w,x,hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Int_Onat__aux(skf48(c_fequal(u)),v)))*.
% 300.02/300.61  1586[0:Inp] class_Rings_Olinordered__semiring__1__strict(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,x),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),z)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),y),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x))),w))*.
% 300.02/300.61  1587[0:Inp] class_Rings_Olinordered__semiring__1(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,v),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,x),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),y)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,c_Groups_Ozero__class_Ozero(u)),z)) equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),z),y),c_Groups_Oone__class_Oone(u)) -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(u,hAPP(hAPP(c_Groups_Oplus__class_Oplus(u),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),z),v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),y),x))),w))*.
% 300.02/300.61  1589[0:Inp] class_Rings_Oidom(u) ||  -> equal(c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot),hAPP(c_COMBC(tc_Nat_Onat,tc_Polynomial_Opoly(u),tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_Polynomial_Opoly(u),tc_fun(tc_Polynomial_Opoly(u),tc_HOL_Obool),tc_Nat_Onat),c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(u))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Polynomial_Opoly(u),tc_Nat_Onat),hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_Polynomial_OpCons(u),hAPP(c_Groups_Ouminus__class_Ouminus(u),v)),hAPP(hAPP(c_Polynomial_OpCons(u),c_Groups_Oone__class_Oone(u)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)))))),c_Nat_OSuc))),w))),c_Polynomial_Oorder(u,v,w))**.
% 300.02/300.61  1591[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,u),v)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,w),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),w)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),y)),x)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),z)),u),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),w),y)),x))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,y),z))*.
% 300.02/300.61  1590[0:Inp] || hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,u),v))* hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,w),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),x)) hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),u)) hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),y)),w)))* equal(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),v),z)),x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),u),y)),w))* -> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,z),y))*.
% 300.02/300.61  1592[0:Inp] class_Rings_Ocomm__semiring__0(u) ||  -> equal(c_Polynomial_Opoly__rec(tc_Polynomial_Opoly(u),u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u)),tc_fun(tc_Polynomial_Opoly(u),tc_fun(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u))),u),c_COMBK(tc_fun(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u)),tc_Polynomial_Opoly(u))),hAPP(hAPP(c_COMBB(tc_fun(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u)),tc_fun(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u)),u),hAPP(c_COMBS(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u)),hAPP(hAPP(c_COMBB(tc_Polynomial_Opoly(u),tc_fun(tc_Polynomial_Opoly(u),tc_Polynomial_Opoly(u)),tc_Polynomial_Opoly(u)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(u))),hAPP(c_Polynomial_Osmult(u),v)))),c_Polynomial_OpCons(u))),w),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(u,w,v))**.
% 300.02/300.61  1593[0:Inp] class_Orderings_Oorder(u) || c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,u,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),v)* -> c_Orderings_Oorder_Omono(tc_Nat_Onat,u,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v).
% 300.02/300.61  1594[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),skf66(v,u)),skf65(v,u)))* -> c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,u,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),v)*.
% 300.02/300.61  1595[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(c_Orderings_Oord__class_Oless(u,hAPP(v,skf65(v,u))),hAPP(v,skf66(v,u))))* -> c_Orderings_Oorder_Ostrict__mono(tc_Nat_Onat,u,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool,c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),v)*.
% 300.02/300.61  1596[0:Inp] class_Orderings_Oorder(u) || hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),v)Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------