TSTP Solution File: SWV883-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV883-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Wed Jul 20 21:45:29 EDT 2022
% Result : Timeout 300.07s 300.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV883-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 04:50:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 300.07/300.44
% 300.07/300.44 SPASS V 3.9
% 300.07/300.44 SPASS beiseite: Ran out of time.
% 300.07/300.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 300.07/300.44 SPASS derived 213230 clauses, backtracked 81 clauses, performed 21 splits and kept 35552 clauses.
% 300.07/300.44 SPASS allocated 225040 KBytes.
% 300.07/300.44 SPASS spent 0:05:00.09 on the problem.
% 300.07/300.44 0:00:00.06 for the input.
% 300.07/300.44 0:00:00.00 for the FLOTTER CNF translation.
% 300.07/300.44 0:00:03.51 for inferences.
% 300.07/300.44 0:00:00.01 for the backtracking.
% 300.07/300.44 0:4:54.18 for the reduction.
% 300.07/300.44
% 300.07/300.44
% 300.07/300.44 The set of clauses at termination is :
% 300.07/300.44 80026[7:Rew:77105.0,78990.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.44 223448[17:Res:195.1,219833.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || equal(c_HOL_Oplus__class_Oplus(v_G,c_HOL_Oone__class_Oone(tc_bool),tc_bool),v_U)** -> .
% 300.07/300.44 259892[21:SSi:259888.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oinsert(u,v_U,v),v_U),v_G,tc_bool)* -> .
% 300.07/300.44 259848[21:SpR:258638.0,67291.0] || -> c_lessequals(v_G,hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_bool)*.
% 300.07/300.44 258638[21:Spt:207440.0] || -> equal(hAPP(v_U,v_U),v_G)**.
% 300.07/300.44 255194[19:Rew:255036.0,682.0] || -> equal(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),c_Suc(v_G))** c_in(u,v_U,tc_Com_Opname).
% 300.07/300.44 258555[20:Rew:256972.0,258531.0] || c_HOL_Oord__class_Oless(v_G,v_G,tc_bool)* -> .
% 300.07/300.44 258351[20:SSi:258347.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),v_G,tc_bool)* -> .
% 300.07/300.44 258387[20:Res:258317.0,203159.0] || -> c_lessequals(v_G,hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),tc_nat)*.
% 300.07/300.44 258318[20:Res:258180.0,89277.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),tc_bool)*.
% 300.07/300.44 255193[19:Rew:255036.0,703.1] || c_lessequals(u,v_U,tc_fun(tc_Com_Opname,tc_bool)) -> c_lessequals(c_Finite__Set_Ocard(u,tc_Com_Opname),v_G,tc_nat)*.
% 300.07/300.44 258317[20:Res:258180.0,89294.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),tc_nat)*.
% 300.07/300.44 258225[20:Res:258181.0,82519.0] || equal(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),v_U)** -> .
% 300.07/300.44 258185[20:SpR:256972.0,67291.0] || -> c_lessequals(v_G,hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_bool)*.
% 300.07/300.44 258180[20:SpR:256972.0,735.0] || -> c_in(v_G,c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),u)*.
% 300.07/300.44 258181[20:SpR:256972.0,2172.0] || -> hBOOL(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G))*.
% 300.07/300.44 256973[20:Rew:256972.0,738.0] || -> hBOOL(v_G)*.
% 300.07/300.44 256972[20:Spt:207438.0] || -> equal(hAPP(v_U,v_pn),v_G)**.
% 300.07/300.44 256281[19:Obv:255182.0] || -> c_Fun_Oinj__on(v_mgt__call,v_U,tc_Com_Opname,t_a)*.
% 300.07/300.44 255039[19:Rew:255036.0,685.0] || -> c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v),v_G,tc_nat)*.
% 300.07/300.44 255036[19:Spt:207429.0] || -> equal(c_Finite__Set_Ocard(v_U,tc_Com_Opname),v_G)**.
% 300.07/300.44 763[0:Res:464.2,625.0] || c_lessequals(u,v_G,tc_fun(t_a,tc_bool)) c_in(hAPP(v_mgt__call,v_pn),u,t_a)* -> .
% 300.07/300.44 203401[18:Rew:203026.0,157438.0] || -> c_lessequals(v_G,hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat)*.
% 300.07/300.44 675[0:Res:620.0,406.2] class_Orderings_Olinorder(tc_Com_Opname) || c_in(u,v_U,tc_Com_Opname) -> c_lessequals(u,c_Finite__Set_Olinorder__class_OMax(v_U,tc_Com_Opname),tc_Com_Opname)*.
% 300.07/300.44 203400[18:Rew:203026.0,157395.0] || -> c_lessequals(v_G,hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat)*.
% 300.07/300.44 203398[18:Rew:203026.0,111741.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 674[0:Res:620.0,405.2] class_Orderings_Olinorder(tc_Com_Opname) || c_in(u,v_U,tc_Com_Opname) -> c_lessequals(c_Finite__Set_Olinorder__class_OMin(v_U,tc_Com_Opname),u,tc_Com_Opname)*.
% 300.07/300.44 99161[0:SpR:496.0,541.0] || -> c_in(hAPP(u,v),c_Set_Oimage(u,c_Set_Oinsert(v,w,x),x,y),y)*.
% 300.07/300.44 99157[0:SpR:496.0,493.0] || -> hBOOL(hAPP(c_Set_Oimage(u,c_Set_Oinsert(v,w,x),x,y),hAPP(u,v)))*.
% 300.07/300.44 120442[7:SpL:451.1,77117.0] || c_Finite__Set_Ofinite(u,v) equal(c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),v_U)** -> .
% 300.07/300.44 120243[7:SpR:451.1,77115.0] || c_Finite__Set_Ofinite(u,v) -> c_HOL_Oord__class_Oless(v_U,c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),tc_nat)*.
% 300.07/300.44 245511[18:Rew:245340.1,227922.0] || equal(u,v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.44 67293[0:SSi:67266.0,612.0,616.0,613.0,617.0,614.0,615.0] || -> c_lessequals(hAPP(c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)),x),hAPP(u,x),tc_bool)*.
% 300.07/300.44 245473[18:Rew:245286.1,203696.0] || equal(u,v) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.44 203388[18:Rew:203026.0,99096.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oinsert(u,v,w),u),v_G,tc_nat)* -> .
% 300.07/300.44 203387[18:Rew:203026.0,89317.0] || equal(c_Suc(hAPP(c_Set_Oinsert(u,v,w),u)),v_G)** -> .
% 300.07/300.44 203386[18:Rew:203026.0,89301.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(c_Set_Oinsert(u,v,w),u)),tc_nat)*.
% 300.07/300.44 62383[0:SSi:62185.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_lessequals(w,v,tc_nat)* c_HOL_Oord__class_Oless(u,w,tc_nat)*.
% 300.07/300.44 203261[18:Rew:203026.0,43976.1] || -> equal(u,v) c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 251361[17:Res:242753.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),v)** -> .
% 300.07/300.44 250314[18:Res:203312.0,12188.0] || -> c_HOL_Oord__class_Oless(v_G,u,tc_nat) c_lessequals(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.44 245521[18:Rew:245340.1,244661.0] || equal(u,v_G) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.44 61658[0:SSi:61460.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_lessequals(u,w,tc_nat)* c_HOL_Oord__class_Oless(w,v,tc_nat)*.
% 300.07/300.44 242800[17:Res:199715.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),u)** -> .
% 300.07/300.44 242753[17:SpR:37.0,199715.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),u,tc_nat),tc_nat)*.
% 300.07/300.44 234528[18:Res:7124.0,205025.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v_G,u,tc_nat).
% 300.07/300.44 207405[18:Rew:203026.0,204845.1] || hBOOL(u) -> equal(v_G,u) c_HOL_Oord__class_Oless(v_G,u,tc_nat)*.
% 300.07/300.44 39167[5:MRR:18181.0,39137.1] || equal(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat))*+ -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w)*.
% 300.07/300.44 203382[18:Rew:203026.0,113249.1] class_Orderings_Oorder(u) || c_HOL_Oord__class_Oless(tc_fun(v,u),v_G,tc_nat)* -> .
% 300.07/300.44 203381[18:Rew:203026.0,113509.1] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(tc_fun(v,u),v_G,tc_nat)* -> .
% 300.07/300.44 203380[18:Rew:203026.0,113690.1] class_HOL_Oord(u) || c_HOL_Oord__class_Oless(tc_fun(v,u),v_G,tc_nat)* -> .
% 300.07/300.44 203379[18:Rew:203026.0,113872.1] class_Orderings_Obot(u) || c_HOL_Oord__class_Oless(tc_fun(v,u),v_G,tc_nat)* -> .
% 300.07/300.44 13291[0:SpL:37.0,113.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(v,w,tc_nat))* -> equal(u,w).
% 300.07/300.44 203378[18:Rew:203026.0,114068.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_HOL_Oord__class_Oless(tc_fun(v,u),v_G,tc_nat)* -> .
% 300.07/300.44 203377[18:Rew:203026.0,113245.1] class_Orderings_Oorder(u) || equal(c_Suc(tc_fun(v,u)),v_G)** -> .
% 300.07/300.44 12188[0:SpL:225.0,367.0] || c_lessequals(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(u,w,tc_nat)* c_lessequals(w,v,tc_nat)*.
% 300.07/300.44 203376[18:Rew:203026.0,113392.1] class_Orderings_Opreorder(u) || equal(c_Suc(tc_fun(v,u)),v_G)** -> .
% 300.07/300.44 203375[18:Rew:203026.0,113584.1] class_HOL_Oord(u) || equal(c_Suc(tc_fun(v,u)),v_G)** -> .
% 300.07/300.44 203374[18:Rew:203026.0,113868.1] class_Orderings_Obot(u) || equal(c_Suc(tc_fun(v,u)),v_G)** -> .
% 300.07/300.44 203373[18:Rew:203026.0,114064.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Suc(tc_fun(v,u)),v_G)** -> .
% 300.07/300.44 12118[0:SpR:225.0,369.1] || c_lessequals(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(w,v,tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.44 203372[18:Rew:203026.0,113229.1] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(tc_fun(v,u)),tc_nat)*.
% 300.07/300.44 203371[18:Rew:203026.0,113376.1] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(tc_fun(v,u)),tc_nat)*.
% 300.07/300.44 203370[18:Rew:203026.0,113568.1] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(tc_fun(v,u)),tc_nat)*.
% 300.07/300.44 203369[18:Rew:203026.0,113852.1] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(tc_fun(v,u)),tc_nat)*.
% 300.07/300.44 12115[0:SpR:225.0,33.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(w,v,tc_nat)* c_HOL_Oord__class_Oless(u,w,tc_nat)*.
% 300.07/300.44 203368[18:Rew:203026.0,114048.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(tc_fun(v,u)),tc_nat)*.
% 300.07/300.44 203274[18:Rew:203026.0,48233.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.44 203260[18:Rew:203026.0,77145.1] || -> equal(v_U,u) c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 203259[18:Rew:203026.0,173863.1] || hBOOL(u) -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 12100[0:SpR:225.0,384.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),v)**.
% 300.07/300.44 203243[18:Rew:203026.0,77345.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_U)** c_lessequals(u,v,tc_nat)*.
% 300.07/300.44 203236[18:Rew:203026.0,39103.0] || equal(u,v_G) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.44 203235[18:Rew:203026.0,39323.0] || equal(u,v_G) equal(c_Suc(c_Suc(v)),u)* -> .
% 300.07/300.44 203209[18:Rew:203026.0,77184.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u,tc_nat)*.
% 300.07/300.44 7802[0:Res:556.0,352.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u,tc_nat)*.
% 300.07/300.44 203207[18:Rew:203026.0,77182.0] || equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u)** -> equal(u,v_U).
% 300.07/300.44 203184[18:Rew:203026.0,77146.1] || -> equal(v_U,u) c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 203183[18:Rew:203026.0,174913.1] || hBOOL(u) -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 203180[18:Rew:203026.0,77183.1] || -> equal(u,v_U) c_lessequals(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),u,tc_nat)*.
% 300.07/300.44 4152[0:Res:82.1,203.0] || -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u) c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 246501[18:Res:199718.0,203164.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat)),tc_nat)*.
% 300.07/300.44 246406[18:Res:219746.0,203164.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 203164[18:Rew:203026.0,6260.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.44 203162[18:Rew:203026.0,25738.1] || equal(c_Suc(u),v)*+ -> c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.44 4151[0:Res:82.1,204.0] || -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 203156[18:Rew:203026.0,121955.1] || equal(tc_fun(u,tc_bool),v)*+ -> c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.44 203155[18:Rew:203026.0,6134.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.44 203154[18:Rew:203026.0,25759.1] || equal(c_Suc(c_Suc(u)),v)*+ -> c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.44 203153[18:Rew:203026.0,7175.0] || c_lessequals(c_Suc(u),v_G,tc_nat)*+ -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.44 229610[18:Rew:229609.1,18092.1] || c_lessequals(c_Suc(u),v,tc_nat)*+ -> equal(c_Suc(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat)),v)**.
% 300.07/300.44 203148[18:Rew:203026.0,6233.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 203089[18:Rew:203026.0,25742.0] || equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.44 203088[18:Rew:203026.0,28844.0] || equal(c_Suc(u),v_G) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.44 203087[18:Rew:203026.0,28876.0] || equal(c_Suc(u),v_G)**+ equal(c_Suc(v),u)* -> .
% 300.07/300.44 206120[18:Rew:203026.0,34118.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(v_G,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 203055[18:Rew:203026.0,77260.1] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** c_lessequals(v_G,u,tc_nat).
% 300.07/300.44 203054[18:Rew:203026.0,115468.1] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_lessequals(v_G,u,tc_nat).
% 300.07/300.44 203047[18:Rew:203026.0,7062.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)*+ c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.44 203046[18:Rew:203026.0,39216.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)*+ equal(c_Suc(v),u)* -> .
% 300.07/300.44 206119[18:Rew:203026.0,33235.0] || c_HOL_Oord__class_Oless(v_G,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat).
% 300.07/300.44 243266[17:SpL:37.0,242799.0] || equal(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),v_U)** -> .
% 300.07/300.44 243187[17:SpR:37.0,242781.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),tc_nat)*.
% 300.07/300.44 243122[17:SpR:37.0,242780.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),tc_bool)*.
% 300.07/300.44 243050[18:SpR:37.0,242775.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),tc_nat)*.
% 300.07/300.44 206026[18:Rew:203026.0,35611.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u),tc_nat)* -> c_lessequals(v,v_G,tc_nat).
% 300.07/300.44 242799[17:Res:199715.0,77209.1] || equal(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),v_U)** -> .
% 300.07/300.44 242781[17:Res:199715.0,77253.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.44 242780[17:Res:199715.0,86355.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_bool)*.
% 300.07/300.44 242775[18:Res:199715.0,203159.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.44 205963[18:Rew:203026.0,35156.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u),tc_nat)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.44 199715[17:Res:198711.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.44 241625[18:Res:219779.1,203159.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 241010[18:MRR:240180.1,47976.0] || equal(u,v_G) -> c_lessequals(c_Suc(v_G),c_Suc(u),tc_nat)*.
% 300.07/300.44 238175[18:SpL:205502.0,25821.0] || c_lessequals(c_Suc(c_Suc(u)),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> .
% 300.07/300.44 205636[18:Rew:203026.0,28679.0] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u),tc_nat),c_HOL_Ominus__class_Ominus(v,v_G,tc_nat))**.
% 300.07/300.44 231765[18:Res:202509.1,203159.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 225527[18:SSi:225521.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)*+ c_HOL_Oord__class_Oless(v_G,u,tc_bool)* -> .
% 300.07/300.44 241828[18:Res:225159.0,223826.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.44 241810[18:Res:203485.0,223826.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_bool)* -> .
% 300.07/300.44 205579[18:Rew:203026.0,15985.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)*.
% 300.07/300.44 223826[18:SpL:207444.1,95852.0] || c_lessequals(v_G,u,tc_nat)*+ c_lessequals(u,v_U,tc_bool)* -> .
% 300.07/300.44 223443[18:SSi:223438.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_G,u,tc_bool)* -> .
% 300.07/300.44 219779[17:Res:219746.0,77320.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 219778[17:Res:219746.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.44 205575[18:Rew:203026.0,33239.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat).
% 300.07/300.44 219777[17:Res:219746.0,89259.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.44 239415[18:MRR:239344.2,43104.0] || equal(u,v_G) -> equal(c_Suc(u),c_Suc(v_G))*.
% 300.07/300.44 207400[18:Rew:203026.0,203515.1] || equal(u,v_G) -> c_lessequals(c_Suc(u),c_Suc(v_G),tc_nat)*.
% 300.07/300.44 205568[18:Rew:203026.0,32214.1] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)*.
% 300.07/300.44 207399[18:Rew:203026.0,203225.1] || equal(v_G,u) -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 207397[18:Rew:203026.0,203091.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* -> equal(c_Suc(u),v_G).
% 300.07/300.44 207396[18:Rew:203026.0,203086.1] || -> equal(c_Suc(u),v_G) c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 207395[18:Rew:203026.0,203071.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_U)** equal(c_Suc(u),v_G).
% 300.07/300.44 205503[18:Rew:203026.0,29179.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))**.
% 300.07/300.44 203431[18:Rew:203026.0,164317.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oinsert(u,v_U,v),v_U),v_G,tc_nat)* -> .
% 300.07/300.44 203430[18:Rew:203026.0,164280.0] || equal(c_Suc(hAPP(c_Set_Oinsert(u,v_U,v),v_U)),v_G)** -> .
% 300.07/300.44 203429[18:Rew:203026.0,164264.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(c_Set_Oinsert(u,v_U,v),v_U)),tc_nat)*.
% 300.07/300.44 203394[18:Rew:203026.0,158088.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),v_G,tc_nat)* -> .
% 300.07/300.44 205502[18:Rew:203026.0,28706.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))**.
% 300.07/300.44 203393[18:Rew:203026.0,158051.0] || equal(c_Suc(hAPP(c_Set_Oinsert(u,v_U,v),v_pn)),v_G)** -> .
% 300.07/300.44 203392[18:Rew:203026.0,158035.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(c_Set_Oinsert(u,v_U,v),v_pn)),tc_nat)*.
% 300.07/300.44 203366[18:Rew:203026.0,115488.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.44 203365[18:Rew:203026.0,115438.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.44 205417[18:Rew:203026.0,32471.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(v,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)*.
% 300.07/300.44 203364[18:Rew:203026.0,115361.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat)),v_G)** -> .
% 300.07/300.44 203363[18:Rew:203026.0,115344.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat)),tc_nat)*.
% 300.07/300.44 203362[18:Rew:203026.0,115219.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),tc_nat)*.
% 300.07/300.44 203361[18:Rew:203026.0,115063.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),v_G)** -> .
% 300.07/300.44 205416[18:Rew:203026.0,32747.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v),tc_nat)*.
% 300.07/300.44 203342[18:Rew:203026.0,93100.0] || -> c_lessequals(v_G,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_nat)*.
% 300.07/300.44 203341[18:Rew:203026.0,92875.1] || c_lessequals(u,v_U,tc_bool)* c_HOL_Oord__class_Oless(v_G,u,tc_bool) -> .
% 300.07/300.44 203326[18:Rew:203026.0,77136.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)*.
% 300.07/300.44 203325[18:Rew:203026.0,110999.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)*.
% 300.07/300.44 205415[18:Rew:203026.0,32953.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(c_HOL_Oplus__class_Oplus(v,u,tc_nat),c_Suc(v),tc_nat)*.
% 300.07/300.44 203324[18:Rew:203026.0,77135.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),v_G)** -> equal(v_U,u).
% 300.07/300.44 203323[18:Rew:203026.0,111015.1] || hBOOL(u) equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),v_G)** -> .
% 300.07/300.44 203322[18:Rew:203026.0,77134.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> equal(v_U,u).
% 300.07/300.44 203321[18:Rew:203026.0,111548.1] || hBOOL(u) c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.44 205338[18:Rew:203026.0,93348.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v),tc_nat)* -> c_lessequals(u,v_G,tc_nat).
% 300.07/300.44 203202[18:Rew:203026.0,77346.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),tc_nat),v_U)**.
% 300.07/300.44 203198[18:Rew:203026.0,168046.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),tc_nat)*.
% 300.07/300.44 203197[18:Rew:203026.0,25826.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),u,tc_nat)* -> .
% 300.07/300.44 205155[18:Rew:203026.0,35641.1] || c_lessequals(c_Suc(u),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.07/300.44 203196[18:Rew:203026.0,168002.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))),tc_nat)*.
% 300.07/300.44 203195[18:Rew:203026.0,164151.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))),tc_nat)*.
% 300.07/300.44 203192[18:Rew:203026.0,25803.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))),u)** -> .
% 300.07/300.44 203189[18:Rew:203026.0,16184.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),u,tc_nat)* -> .
% 300.07/300.44 205079[18:Rew:203026.0,35186.1] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.44 203182[18:Rew:203026.0,117038.0] || equal(c_Suc(tc_fun(u,tc_bool)),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))* -> .
% 300.07/300.44 203181[18:Rew:203026.0,116646.0] || c_HOL_Oord__class_Oless(tc_fun(u,tc_bool),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> .
% 300.07/300.44 203143[18:Rew:203026.0,77298.1] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 205025[18:Rew:203026.0,93019.1] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.44 203135[18:Rew:203026.0,164236.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat))),tc_nat)*.
% 300.07/300.44 203126[18:Rew:203026.0,77186.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.44 203125[18:Rew:203026.0,77185.0] || c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v_G),tc_nat)* -> equal(u,v_U).
% 300.07/300.44 203124[18:Rew:203026.0,77147.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G))** -> equal(v_U,u).
% 300.07/300.44 204863[18:Rew:203026.0,31616.0] || c_HOL_Oord__class_Oless(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(c_Suc(v),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 203123[18:Rew:203026.0,86573.1] || hBOOL(u) equal(c_Suc(c_Suc(u)),c_Suc(v_G))** -> .
% 300.07/300.44 203077[18:Rew:203026.0,77294.1] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)** -> equal(c_Suc(u),v_G).
% 300.07/300.44 203076[18:Rew:203026.0,77297.0] || equal(c_Suc(u),v_G) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)**.
% 300.07/300.44 203075[18:Rew:203026.0,77303.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 204862[18:Rew:203026.0,31832.0] || c_HOL_Oord__class_Oless(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(c_Suc(v),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 203074[18:Rew:203026.0,79599.1] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)* equal(c_Suc(u),v_G).
% 300.07/300.44 203037[18:Rew:203026.0,77296.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.44 202944[17:Res:200985.1,77320.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 202943[17:Res:200985.1,77327.0] || equal(v_G,u) equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)** -> .
% 300.07/300.44 202942[17:Res:200985.1,89259.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.44 202771[17:Res:200070.1,35057.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.44 204373[18:Rew:203026.0,93017.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v),tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.44 202686[17:Res:200069.1,35057.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.44 202591[17:Res:200068.1,35057.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 202509[17:Res:200068.0,77320.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 202508[17:Res:200068.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,v_G,tc_nat)*.
% 300.07/300.44 204368[18:Rew:203026.0,100624.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(v,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)*.
% 300.07/300.44 202507[17:Res:200068.0,89259.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.44 231268[18:Res:225159.0,202455.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.44 231256[18:Res:225072.1,202455.0] || c_lessequals(u,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.44 202455[17:SpL:632.1,202111.0] || c_lessequals(v_G,u,tc_nat)*+ c_lessequals(u,v_U,tc_nat)* -> .
% 300.07/300.44 204292[18:Rew:203026.0,32435.0] || c_lessequals(v_G,u,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),v,tc_nat)*.
% 300.07/300.44 225332[18:Res:225159.0,3384.1] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.44 217944[18:Rew:203297.0,217934.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat)),v_G)** -> .
% 300.07/300.44 213816[18:Res:207254.0,25748.1] || equal(c_Suc(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)))),c_Suc(v_G))** -> .
% 300.07/300.44 204291[18:Rew:203026.0,32777.0] || c_lessequals(v_G,u,tc_nat) -> c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 204290[18:Rew:203026.0,32983.0] || c_lessequals(v_G,u,tc_nat) -> c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 203353[18:Rew:203026.0,111323.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 204092[18:Rew:203026.0,78036.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 204017[18:Rew:203026.0,29152.0] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v),tc_nat),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))**.
% 300.07/300.44 203320[18:Rew:203026.0,90823.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),v_G,tc_nat)* -> .
% 300.07/300.44 203319[18:Rew:203026.0,90637.0] || -> c_lessequals(v_G,hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_nat)*.
% 300.07/300.44 203943[18:Rew:203026.0,16002.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.07/300.44 203318[18:Rew:203026.0,88254.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool))),v_G)** -> .
% 300.07/300.44 203317[18:Rew:203026.0,88238.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool))),tc_nat)*.
% 300.07/300.44 203940[18:Rew:203026.0,32178.1] || c_lessequals(u,c_Suc(v),tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)*.
% 300.07/300.44 203892[18:Rew:203026.0,15989.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat) -> .
% 300.07/300.44 203265[18:Rew:203026.0,34707.0] || c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),v_G,tc_nat)* -> .
% 300.07/300.44 203264[18:Rew:203026.0,34698.0] || equal(c_Suc(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname)),v_G)** -> .
% 300.07/300.44 203263[18:Rew:203026.0,34695.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname)),tc_nat)*.
% 300.07/300.44 203891[18:Rew:203026.0,16003.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.44 203538[18:Rew:203026.0,80017.0] || equal(u,v_G) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** equal(v,v_U).
% 300.07/300.44 203101[18:Rew:203026.0,25785.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),c_Suc(c_Suc(v_G)))** -> .
% 300.07/300.44 203100[18:Rew:203026.0,10662.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(v_G)),c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.44 207492[18:Rew:203026.0,205366.2] || c_lessequals(u,v_G,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> equal(v_G,u).
% 300.07/300.44 203099[18:Rew:203026.0,4141.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_Suc(v_G)),tc_nat)* -> .
% 300.07/300.44 203846[18:Rew:203026.0,77707.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_lessequals(u,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)* -> .
% 300.07/300.44 203316[18:Rew:203026.0,89302.0] || -> c_lessequals(v_G,hAPP(c_Set_Oinsert(u,v,w),u),tc_nat)*.
% 300.07/300.44 203417[18:Rew:203026.0,15982.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)*.
% 300.07/300.44 203358[18:Rew:203026.0,113230.1] class_Orderings_Oorder(u) || -> c_lessequals(v_G,tc_fun(v,u),tc_nat)*.
% 300.07/300.44 203357[18:Rew:203026.0,113377.1] class_Orderings_Opreorder(u) || -> c_lessequals(v_G,tc_fun(v,u),tc_nat)*.
% 300.07/300.44 203356[18:Rew:203026.0,113569.1] class_HOL_Oord(u) || -> c_lessequals(v_G,tc_fun(v,u),tc_nat)*.
% 300.07/300.44 203355[18:Rew:203026.0,113853.1] class_Orderings_Obot(u) || -> c_lessequals(v_G,tc_fun(v,u),tc_nat)*.
% 300.07/300.44 203211[18:Rew:203026.0,15970.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.44 203354[18:Rew:203026.0,114049.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_lessequals(v_G,tc_fun(v,u),tc_nat)*.
% 300.07/300.44 203237[18:Rew:203026.0,39067.0] || equal(u,v_G) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.44 203176[18:Rew:203026.0,12734.0] || -> c_HOL_Oord__class_Oless(v_G,u,tc_nat) c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.44 225267[18:Res:225072.1,3384.1] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.44 207455[18:Rew:203026.0,206040.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> equal(c_Suc(v),v_G).
% 300.07/300.44 225159[18:Res:199718.0,203159.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.44 225072[18:Res:219746.0,203159.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.44 203159[18:Rew:203026.0,6306.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.44 203157[18:Rew:203026.0,25739.1] || equal(c_Suc(u),v)*+ -> c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.44 207452[18:Rew:203026.0,204925.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> equal(c_Suc(u),v_G).
% 300.07/300.44 203149[18:Rew:203026.0,6259.1] || -> c_lessequals(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 203090[18:Rew:203026.0,25743.0] || equal(c_Suc(u),v_G) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.44 203067[18:Rew:203026.0,6708.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_lessequals(v_G,u,tc_nat).
% 300.07/300.44 203049[18:Rew:203026.0,6295.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.44 207444[18:Rew:203026.0,203645.0] || c_lessequals(v_G,u,tc_nat) -> equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),u)**.
% 300.07/300.44 219833[17:SSi:219826.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(u,v_U) c_HOL_Oord__class_Oless(v_G,u,tc_bool)* -> .
% 300.07/300.44 219811[18:Rew:203297.0,219787.0] || equal(c_Suc(u),v_G) -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.44 207394[18:Rew:203026.0,203226.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G)** -> equal(v_G,u).
% 300.07/300.44 207393[18:Rew:203026.0,203092.1] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 203208[18:Rew:203026.0,77710.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u,tc_nat)*.
% 300.07/300.44 207392[18:Rew:203026.0,203050.1] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> equal(c_Suc(u),v_G).
% 300.07/300.44 203419[18:Rew:203026.0,164265.0] || -> c_lessequals(v_G,hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat)*.
% 300.07/300.44 203390[18:Rew:203026.0,158036.0] || -> c_lessequals(v_G,hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat)*.
% 300.07/300.44 203360[18:Rew:203026.0,115345.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat)*.
% 300.07/300.44 203206[18:Rew:203026.0,77712.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u)** -> .
% 300.07/300.44 203359[18:Rew:203026.0,115220.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.44 203273[18:Rew:203026.0,77139.1] || -> equal(v_U,u) c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 203272[18:Rew:203026.0,111000.1] || hBOOL(u) -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.44 203244[18:Rew:203026.0,79856.1] || -> equal(u,v_U) equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_U)**.
% 300.07/300.44 203418[18:Rew:203026.0,15964.0] || -> c_lessequals(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.44 203239[18:Rew:203026.0,37593.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.44 203217[18:Rew:203026.0,122621.1] || c_lessequals(u,v_U,tc_bool)* equal(v_G,u) -> .
% 300.07/300.44 203199[18:Rew:203026.0,16127.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),u,tc_nat)* -> .
% 300.07/300.44 203191[18:Rew:203026.0,25825.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),tc_nat)*.
% 300.07/300.44 203414[18:Rew:203026.0,13295.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u))** -> equal(v_G,v).
% 300.07/300.44 203190[18:Rew:203026.0,25807.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),u)** -> .
% 300.07/300.44 203188[18:Rew:203026.0,16052.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),tc_nat)*.
% 300.07/300.44 203178[18:Rew:203026.0,25767.0] || equal(c_Suc(c_Suc(u)),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))* -> .
% 300.07/300.44 203177[18:Rew:203026.0,13454.0] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> .
% 300.07/300.44 203216[18:Rew:203026.0,13528.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v))** -> equal(v_G,u).
% 300.07/300.44 203120[18:Rew:203026.0,77188.1] || -> equal(u,v_U) c_lessequals(c_Suc(v_G),c_Suc(u),tc_nat)*.
% 300.07/300.44 203110[18:Rew:203026.0,5444.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(u)),u,tc_nat),c_Suc(v_G))**.
% 300.07/300.44 203078[18:Rew:203026.0,77233.1] || c_lessequals(u,v_U,tc_nat)* -> equal(c_Suc(u),v_G).
% 300.07/300.44 203073[18:Rew:203026.0,122592.1] || c_lessequals(u,v_U,tc_bool)* -> equal(c_Suc(u),v_G).
% 300.07/300.44 203210[18:Rew:203026.0,25822.1] || equal(u,c_Suc(v))*+ -> equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v)*.
% 300.07/300.44 203059[18:Rew:203026.0,77299.1] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.44 203036[18:Rew:203026.0,122305.1] || c_lessequals(u,v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.44 200984[17:SpL:143013.1,200113.0] || c_lessequals(u,v_U,tc_nat)* equal(v_G,u) -> .
% 300.07/300.44 200643[17:SpL:632.1,200458.0] || c_lessequals(v_G,u,tc_nat)* equal(u,v_U) -> .
% 300.07/300.44 207415[18:Rew:203026.0,203034.1] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),u)**.
% 300.07/300.44 200505[17:SpR:632.1,200176.0] || c_lessequals(v_G,u,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,u,tc_bool).
% 300.07/300.44 198756[17:SSi:198747.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(v_G,u,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,u,tc_nat).
% 300.07/300.44 198755[17:SSi:198746.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.44 198729[17:SSi:198720.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(v_G,u,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,u,tc_bool).
% 300.07/300.44 203410[18:Rew:203026.0,78075.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> equal(u,v_U).
% 300.07/300.44 219784[17:Res:219746.0,77209.1] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.44 219746[17:Res:77448.1,198728.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.44 219745[17:Res:79381.1,198728.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.44 198728[17:SSi:198719.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.44 203409[18:Rew:203026.0,78402.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> equal(v,v_U).
% 300.07/300.44 203348[18:Rew:203026.0,110944.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.44 203347[18:Rew:203026.0,110871.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat)),v_G)** -> .
% 300.07/300.44 203035[18:Rew:203026.0,77254.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.44 203346[18:Rew:203026.0,110855.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat)),tc_nat)*.
% 300.07/300.44 203308[18:Rew:203026.0,88239.0] || -> c_lessequals(v_G,c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.07/300.44 203262[18:Rew:203026.0,34696.0] || -> c_lessequals(v_G,c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat)*.
% 300.07/300.44 207398[18:Rew:203026.0,203172.0] || -> equal(u,v_G) c_HOL_Oord__class_Oless(v_G,u,tc_nat)* equal(u,v_U).
% 300.07/300.44 203132[18:Rew:203026.0,123729.0] || c_HOL_Oord__class_Oless(c_Suc(tc_fun(u,tc_bool)),c_Suc(v_G),tc_nat)* -> .
% 300.07/300.44 203130[18:Rew:203026.0,123584.0] || -> c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(c_Suc(tc_fun(u,tc_bool))),tc_nat)*.
% 300.07/300.44 203121[18:Rew:203026.0,95972.0] || equal(c_Suc(c_Suc(tc_fun(u,tc_bool))),c_Suc(v_G))** -> .
% 300.07/300.44 203098[18:Rew:203026.0,4116.0] || -> c_lessequals(c_Suc(c_Suc(v_G)),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.44 203200[18:Rew:203026.0,77189.1] || -> equal(u,v_U) equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),u)**.
% 300.07/300.44 203097[18:Rew:203026.0,4065.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),c_Suc(v_G),tc_nat)* -> .
% 300.07/300.44 199718[17:Res:198711.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.44 199717[17:Res:198711.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),v_U)** -> .
% 300.07/300.44 199716[17:Res:198711.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),tc_bool)*.
% 300.07/300.44 203168[18:Rew:203026.0,6716.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.44 203475[18:Rew:203026.0,191187.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),v_U)**.
% 300.07/300.44 203158[18:Rew:203026.0,7242.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.07/300.44 203048[18:Rew:203026.0,6344.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.44 203228[18:Rew:203026.0,22947.0] || -> equal(c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),v_G)**.
% 300.07/300.44 203151[18:Rew:203026.0,77150.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* -> equal(v_U,u).
% 300.07/300.44 203391[18:Rew:203026.0,403.2] || c_Finite__Set_Ofinite(u,v) c_in(w,u,v) -> equal(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(w,x,v),tc_fun(v,tc_bool)),v),c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(u,x,tc_fun(v,tc_bool)),v),v_G,tc_nat))* c_in(w,x,v).
% 300.07/300.44 203389[18:Rew:203026.0,47753.1] v_wt(u) || equal(c_Finite__Set_Ocard(v,t_a),v_G) c_lessequals(v,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) -> hBOOL(hAPP(hAPP(v_P,v),c_Set_Oinsert(v_mgt(u),v_G,t_a)))*.
% 300.07/300.44 203068[18:Rew:203026.0,6296.1] || -> c_lessequals(u,v,tc_nat)* c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.44 207385[18:Rew:203026.0,203069.0] || -> equal(c_Suc(u),v_G) c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.44 203238[18:Rew:203026.0,29697.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),c_Suc(v),tc_nat)*.
% 300.07/300.44 203384[18:Rew:203026.0,120490.1] || c_Finite__Set_Ofinite(u,v) -> equal(c_Suc(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),v_G,tc_nat)),c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v))**.
% 300.07/300.44 203187[18:Rew:203026.0,16053.0] || -> c_lessequals(u,c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),tc_nat)*.
% 300.07/300.44 203145[18:Rew:203026.0,77152.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)* equal(v_U,u).
% 300.07/300.44 203144[18:Rew:203026.0,82503.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 203083[18:Rew:203026.0,77151.0] || equal(c_Suc(u),v_G)** -> equal(v_U,u).
% 300.07/300.44 203340[18:Rew:203026.0,667.2] || c_Finite__Set_Ofinite(u,v) c_in(w,u,v)*+ -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(u,v),v_G,tc_nat),c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.44 203082[18:Rew:203026.0,77173.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.44 203081[18:Rew:203026.0,77214.1] || equal(u,v_U) -> equal(c_Suc(u),v_G)**.
% 300.07/300.44 203080[18:Rew:203026.0,82538.1] || hBOOL(u) equal(c_Suc(u),v_G)** -> .
% 300.07/300.44 203079[18:Rew:203026.0,86357.1] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* equal(c_Suc(u),v_G).
% 300.07/300.44 203383[18:Rew:203026.0,120489.1] || c_Finite__Set_Ofinite(u,v) -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),v_G,tc_nat),c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.44 203039[18:Rew:203026.0,83163.1] || hBOOL(u) c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> .
% 300.07/300.44 207266[18:Rew:203026.0,201761.0] || c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_G,tc_nat)* -> .
% 300.07/300.44 207255[18:Rew:203026.0,199738.0] || equal(c_Suc(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),v_G)** -> .
% 300.07/300.44 207254[18:Rew:203026.0,199722.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))),tc_nat)*.
% 300.07/300.44 203204[18:Rew:203026.0,77191.1] || -> equal(u,v_U) equal(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)),c_HOL_Oplus__class_Oplus(u,v,tc_nat))**.
% 300.07/300.44 203385[18:Rew:203026.0,123741.0] || c_lessequals(c_Suc(tc_fun(u,tc_bool)),v_G,tc_nat)* -> .
% 300.07/300.44 203367[18:Rew:203026.0,116840.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,tc_fun(u,tc_bool),tc_nat),v_U)**.
% 300.07/300.44 203344[18:Rew:203026.0,110856.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.44 203267[18:Rew:203026.0,47782.0] || -> equal(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_G,t_a),t_a),v_G)**.
% 300.07/300.44 207499[18:Rew:203026.0,203232.2,203026.0,203232.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> equal(u,v_G) equal(v,v_G).
% 300.07/300.44 203131[18:Rew:203026.0,123731.0] || -> c_lessequals(c_Suc(v_G),c_Suc(tc_fun(u,tc_bool)),tc_nat)*.
% 300.07/300.44 203111[18:Rew:203026.0,25775.0] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v_G))** -> .
% 300.07/300.44 203096[18:Rew:203026.0,2760.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(v_G),tc_nat)* -> .
% 300.07/300.44 203095[18:Rew:203026.0,2714.0] || -> c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.44 207460[18:Rew:203026.0,203230.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> equal(u,v_G) equal(u,v_U).
% 300.07/300.44 207459[18:Rew:203026.0,203229.2] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> equal(v,v_U) equal(v,v_G).
% 300.07/300.44 203231[18:Rew:203026.0,79991.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> equal(v,v_U) equal(u,v_U).
% 300.07/300.44 203063[18:Rew:203026.0,77217.0] || -> c_lessequals(v_G,u,tc_nat)* equal(u,v_U).
% 300.07/300.44 203062[18:Rew:203026.0,82504.1] || hBOOL(u) -> c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.44 203033[18:Rew:203026.0,1228.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),u,tc_nat),v_G)**.
% 300.07/300.44 203485[18:Rew:203026.0,199723.0] || -> c_lessequals(v_G,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat)*.
% 300.07/300.44 203150[18:Rew:203026.0,662.0] || -> equal(c_Finite__Set_Ocard(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),v),v_G)**.
% 300.07/300.44 203315[18:Rew:203026.0,95938.0] || c_HOL_Oord__class_Oless(tc_fun(u,tc_bool),v_G,tc_nat)* -> .
% 300.07/300.44 203314[18:Rew:203026.0,95934.0] || equal(c_Suc(tc_fun(u,tc_bool)),v_G)** -> .
% 300.07/300.44 203313[18:Rew:203026.0,95918.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(tc_fun(u,tc_bool)),tc_nat)*.
% 300.07/300.44 203302[18:Rew:203026.0,77218.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_Suc(u),tc_nat),v_U)**.
% 300.07/300.44 203070[18:Rew:203026.0,100.1] class_Ring__and__Field_Osemiring__1(u) || -> equal(c_Nat_Osemiring__1__class_Oof__nat(v_G,u),c_HOL_Oone__class_Oone(u))**.
% 300.07/300.44 203094[18:Rew:203026.0,2642.0] || -> c_lessequals(c_Suc(v_G),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.44 203093[18:Rew:203026.0,1695.0] || c_lessequals(c_Suc(c_Suc(u)),v_G,tc_nat)* -> .
% 300.07/300.44 203043[18:Rew:203026.0,77215.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> equal(u,v_U).
% 300.07/300.44 203030[18:Rew:203026.0,18.0] || -> equal(c_HOL_Oplus__class_Oplus(u,v_G,tc_nat),c_Suc(u))**.
% 300.07/300.44 203312[18:Rew:203026.0,95919.0] || -> c_lessequals(v_G,tc_fun(u,tc_bool),tc_nat)*.
% 300.07/300.44 203028[18:Rew:203026.0,278.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v_G,tc_nat),u)**.
% 300.07/300.44 203214[18:Rew:203026.0,24114.0] || equal(c_Suc(c_Suc(u)),v_G)** -> .
% 300.07/300.44 203032[18:Rew:203026.0,1203.0] || c_HOL_Oord__class_Oless(c_Suc(u),v_G,tc_nat)* -> .
% 300.07/300.44 203031[18:Rew:203026.0,1191.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.44 203027[18:Rew:203026.0,19.0] || -> equal(c_HOL_Oplus__class_Oplus(v_G,u,tc_nat),c_Suc(u))**.
% 300.07/300.44 203029[18:Rew:203026.0,1173.0] || -> c_lessequals(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.44 203266[18:Rew:203026.0,37054.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(v_G,tc_nat),v_G)**.
% 300.07/300.44 203297[18:Rew:203026.0,77111.0] || -> equal(c_Suc(v_U),v_G)**.
% 300.07/300.44 203026[18:Spt:199069.0] || -> equal(c_HOL_Oone__class_Oone(tc_nat),v_G)**.
% 300.07/300.44 200987[17:SpL:77202.1,200113.0] || equal(u,v_U) equal(v_G,u)* -> .
% 300.07/300.44 200986[17:SpL:151561.1,200113.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)*.
% 300.07/300.44 200985[17:SpL:153907.1,200113.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.44 4150[0:Res:82.1,265.0] || -> equal(u,c_Suc(v)) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* c_lessequals(u,v,tc_nat).
% 300.07/300.44 200070[17:SpR:77202.1,198730.0] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,v_G,tc_nat)*.
% 300.07/300.44 200069[17:SpR:151561.1,198730.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* c_HOL_Oord__class_Oless(u,v_G,tc_nat)*.
% 300.07/300.44 200068[17:SpR:153907.1,198730.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(u,v_G,tc_nat)*.
% 300.07/300.44 116783[0:SSi:116754.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)* c_lessequals(c_HOL_Oplus__class_Oplus(v,w,tc_nat),w,tc_nat)*+ -> .
% 300.07/300.44 201763[17:Res:199723.0,77230.1] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_nat)* -> .
% 300.07/300.44 116447[0:SSi:116419.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat)*+ c_HOL_Oord__class_Oless(w,v,tc_nat)* -> .
% 300.07/300.44 100868[7:MRR:100867.2,77116.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat)* -> .
% 300.07/300.44 76749[0:SSi:75993.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 63285[0:SSi:63117.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.44 62872[0:SSi:62702.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.44 199725[17:Res:198711.0,77209.1] || equal(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U)** -> .
% 300.07/300.44 62871[0:SSi:62679.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_HOL_Oord__class_Oless(u,w,tc_nat).
% 300.07/300.44 198711[17:Res:198689.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat)*.
% 300.07/300.44 199496[17:Res:122305.1,199059.0] || c_lessequals(v_G,v_U,tc_bool)* -> .
% 300.07/300.44 61112[0:SSi:60951.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.44 34611[0:Rew:37.0,34505.0,4.0,34505.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 199061[17:Res:198738.0,77230.1] || c_lessequals(v_G,v_U,tc_nat)* -> .
% 300.07/300.44 34610[0:Rew:29929.0,34609.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 198727[17:Res:198702.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,v_G,tc_nat)*.
% 300.07/300.44 198702[17:SpR:47735.0,198689.0] || -> c_HOL_Oord__class_Oless(v_U,v_G,tc_bool)*.
% 300.07/300.44 198689[17:Spt:198688.0,79920.0] || -> c_HOL_Oord__class_Oless(v_U,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_bool)*.
% 300.07/300.44 77360[7:Rew:77105.0,54799.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),u,tc_nat),v_U)** -> .
% 300.07/300.44 30833[0:SpR:5.0,360.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 197953[5:MRR:197893.0,42985.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(v),tc_nat)*.
% 300.07/300.44 196993[0:Rew:519.0,196821.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(v),tc_nat)*.
% 300.07/300.44 197236[5:MRR:197235.0,42985.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),v,tc_nat)*.
% 300.07/300.44 29944[0:SpR:4.0,361.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 196757[0:MRR:196592.0,182798.1] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat),v,tc_nat)*.
% 300.07/300.44 196502[0:MRR:196316.0,175038.1] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),tc_nat),v,tc_nat)*.
% 300.07/300.44 196400[0:SpR:519.0,196015.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat)*.
% 300.07/300.44 196015[0:SpR:18.0,29550.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 29550[0:SpR:380.0,556.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 7568[0:Res:494.1,366.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(v,c_Suc(w),tc_nat).
% 300.07/300.44 77353[7:Rew:77105.0,38604.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),tc_nat),v_U)**.
% 300.07/300.44 7536[0:SpL:322.0,366.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_lessequals(v,w,tc_nat).
% 300.07/300.44 7278[0:Res:494.1,367.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(u,c_Suc(w),tc_nat).
% 300.07/300.44 7247[0:SpL:323.0,367.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_lessequals(u,w,tc_nat).
% 300.07/300.44 7134[0:Res:310.1,32.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat).
% 300.07/300.44 79899[7:Rew:77105.0,77131.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U,tc_nat)* -> equal(v_U,u).
% 300.07/300.44 7133[0:Res:266.1,32.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat).
% 300.07/300.44 7106[0:SpL:323.0,32.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_HOL_Oord__class_Oless(u,w,tc_nat).
% 300.07/300.44 6970[0:Res:368.1,270.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.44 185771[7:Res:111954.0,77230.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.44 6969[0:Res:368.1,495.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.44 6947[0:SpR:322.0,368.1] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.07/300.44 6745[0:Res:369.1,270.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.44 6744[0:Res:369.1,495.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.44 6721[0:SpR:323.0,369.1] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.07/300.44 6565[0:Res:33.1,311.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.44 6545[0:SpR:323.0,33.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.07/300.44 6365[0:Res:34.1,311.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.44 6347[0:SpR:322.0,34.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.07/300.44 114587[7:Res:79995.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_nat),tc_bool)*.
% 300.07/300.44 114562[10:Res:110851.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.44 6157[0:Res:374.1,265.0] || c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.44 112047[10:Res:77292.1,111978.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.44 185970[10:Res:122305.1,111977.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.44 6143[0:SpR:519.0,374.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.44 3829[0:SpL:1367.1,121.1] class_Ring__and__Field_Osemiring__1(u) class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Ozero__class_Ozero(u),u)* -> .
% 300.07/300.44 111318[10:Res:110851.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 110690[7:Res:79995.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_nat),tc_nat)*.
% 300.07/300.44 79965[7:Rew:77105.0,78796.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v_U)** -> equal(w,v_U).
% 300.07/300.44 78444[7:Rew:77105.0,22842.1] || c_lessequals(c_Suc(u),c_Suc(v),tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.07/300.44 101765[7:Res:77292.1,101466.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_nat),v_U)** -> .
% 300.07/300.44 184510[7:Res:122305.1,100133.0] || c_lessequals(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),v_U,tc_bool)* -> .
% 300.07/300.44 78443[7:Rew:77105.0,22843.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) -> c_lessequals(c_Suc(u),c_Suc(v),tc_nat)*.
% 300.07/300.44 79948[7:Rew:77105.0,78400.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v_U)** -> equal(v,v_U).
% 300.07/300.44 77500[7:Rew:77105.0,54308.0] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),v,tc_nat)*.
% 300.07/300.44 65945[0:SSi:65944.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat))*.
% 300.07/300.44 175066[0:Res:1638.0,64371.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_lessequals(w,u,tc_nat).
% 300.07/300.44 175058[5:Res:39025.1,64371.0] || equal(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat))*+ -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.44 175038[0:Res:485.1,64371.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_lessequals(w,u,tc_nat).
% 300.07/300.44 175362[7:SpL:77202.1,173881.1] || equal(u,v_U)*+ hBOOL(v)* equal(v,u)* -> .
% 300.07/300.44 48242[0:SSi:48213.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.44 175361[7:SpL:151561.1,173881.1] || hBOOL(u)* equal(u,v)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.44 175360[7:SpL:153907.1,173881.1] || hBOOL(u)* equal(u,v)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.44 173811[7:SpR:77202.1,172418.1] || equal(u,v_U) hBOOL(v) -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.44 173810[7:SpR:151561.1,172418.1] || hBOOL(u)+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.07/300.44 173809[7:SpR:153907.1,172418.1] || hBOOL(u)+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.07/300.44 181671[10:Res:180519.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),v)** -> .
% 300.07/300.44 181553[7:Res:174913.1,77230.1] || hBOOL(u) c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.44 181448[7:Res:173863.1,77230.1] || hBOOL(u) c_lessequals(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.44 180569[10:Res:172472.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),u)** -> .
% 300.07/300.44 180519[10:SpR:37.0,172472.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),u,tc_nat),tc_nat)*.
% 300.07/300.44 79351[7:Rew:77105.0,65901.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat),v_U)**.
% 300.07/300.44 180855[10:SpL:37.0,180568.0] || equal(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),v_U)** -> .
% 300.07/300.44 180710[10:SpR:37.0,180548.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),tc_nat)*.
% 300.07/300.44 180642[10:SpR:37.0,180547.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),tc_bool)*.
% 300.07/300.44 180568[10:Res:172472.0,77209.1] || equal(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.44 180548[10:Res:172472.0,77253.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 180547[10:Res:172472.0,86355.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.44 172472[10:Res:110697.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.44 122288[7:MRR:122262.0,122262.1,62656.1,47775.0] || c_HOL_Oord__class_Oless(v_U,c_Finite__Set_Ocard(u,t_a),tc_nat) -> c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool))*.
% 300.07/300.44 178993[7:MRR:178944.1,77119.0] || c_lessequals(c_Set_Oinsert(u,v_G,t_a),v_G,tc_fun(t_a,tc_bool))* -> .
% 300.07/300.44 731[0:Res:624.0,150.0] || -> c_in(v_pn,u,tc_Com_Opname) c_in(v_pn,c_HOL_Ominus__class_Ominus(v_U,u,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)*.
% 300.07/300.44 178219[0:MRR:178201.2,461.0] class_Ring__and__Field_Oordered__semidom(u) class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || -> c_lessequals(v,v,u)*.
% 300.07/300.44 178185[0:Res:531.1,93347.1] class_Orderings_Obot(u) class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || -> c_lessequals(v,v,u)*.
% 300.07/300.44 93347[0:Obv:93339.0] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(v,v,u)*+ -> c_lessequals(w,w,u)*.
% 300.07/300.44 92841[0:Obv:92837.0] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_HOL_Oord__class_Oless(v,v,u)*+ -> c_HOL_Oord__class_Oless(w,w,u)*.
% 300.07/300.44 65136[0:Res:579.1,262.0] class_Finite__Set_Ofinite_Ofinite(u) || c_Fun_Oinj__on(v,w,x,u)* -> c_Finite__Set_Ofinite(w,x).
% 300.07/300.44 49173[0:Res:526.0,535.0] || -> c_lessequals(u,c_Set_Oinsert(v,c_Set_Oinsert(w,u,x),x),tc_fun(x,tc_bool))*.
% 300.07/300.44 15396[0:Obv:15392.0] class_Orderings_Olinorder(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_lessequals(v,w,u)*.
% 300.07/300.44 10188[0:Res:474.1,544.0] || c_in(u,v,w) -> hBOOL(hAPP(c_Set_Oinsert(x,v,w),u))*.
% 300.07/300.44 93346[0:SSi:93297.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v,tc_nat)*+ -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.44 175286[7:Res:173805.1,39066.1] || hBOOL(u) equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)** -> .
% 300.07/300.44 173881[7:Res:172418.1,39066.1] || hBOOL(u) equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)** -> .
% 300.07/300.44 173805[7:SpR:37.0,172418.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 174671[7:SpL:37.0,173880.1] || hBOOL(u) equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> .
% 300.07/300.44 64371[0:SSi:64168.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.44 174556[7:SpR:37.0,173860.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.44 173961[7:SpR:37.0,173859.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)*.
% 300.07/300.44 173880[7:Res:172418.1,77209.1] || hBOOL(u) equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U)** -> .
% 300.07/300.44 173860[7:Res:172418.1,77253.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 36957[5:Rew:100.1,36956.1,22616.0,36956.1] class_Ring__and__Field_Osemiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(u),c_HOL_Ozero__class_Ozero(u),u),c_HOL_Oone__class_Oone(u))**.
% 300.07/300.44 173859[7:Res:172418.1,86355.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_bool)*.
% 300.07/300.44 172418[7:Res:77449.1,31646.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.44 35671[0:Res:369.1,355.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat)*+ -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.44 33281[0:Res:205.1,32.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.44 31646[0:Res:215.1,32.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(w,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.44 21074[0:Res:556.0,460.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.44 15384[0:Res:531.1,185.2] class_Orderings_Obot(u) class_Orderings_Olinorder(u) || c_HOL_Oord__class_Oless(v,c_Orderings_Obot__class_Obot(u),u)* -> .
% 300.07/300.44 15118[0:SSi:15099.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)),tc_fun(w,tc_bool))* -> .
% 300.07/300.44 15103[0:Res:531.1,287.2] class_Orderings_Obot(u) class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,c_Orderings_Obot__class_Obot(u),u)* -> .
% 300.07/300.44 7576[0:Res:358.1,366.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(v,w,tc_nat).
% 300.07/300.44 7286[0:Res:358.1,367.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(u,w,tc_nat).
% 300.07/300.44 168612[16:Res:122305.1,164317.0] || c_lessequals(hAPP(c_Set_Oinsert(u,v_U,v),v_U),v_U,tc_bool)* -> .
% 300.07/300.44 7124[0:Res:328.1,32.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.07/300.44 164260[16:Res:164090.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),tc_nat)*.
% 300.07/300.44 6133[0:SpR:385.0,374.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(v,w,tc_nat).
% 300.07/300.44 164259[16:Res:164090.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),v_U)** -> .
% 300.07/300.44 164258[16:Res:164090.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),tc_bool)*.
% 300.07/300.44 4524[0:SpL:574.1,530.0] || c_in(u,v,w)* equal(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)))*+ -> .
% 300.07/300.44 1856[0:SpR:1367.1,124.1] class_Ring__and__Field_Osemiring__1(u) class_Ring__and__Field_Oordered__semidom(u) || -> c_lessequals(c_HOL_Ozero__class_Ozero(u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.44 113176[7:MRR:113175.2,461.0] class_Ring__and__Field_Oring__1(u) class_OrderedGroup_Oab__group__add(u) || -> equal(c_Nat_Osemiring__1__class_Oof__nat(v_U,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.44 113174[7:MRR:113173.2,461.0] class_Ring__and__Field_Oring__1(u) class_OrderedGroup_Ogroup__add(u) || -> equal(c_Nat_Osemiring__1__class_Oof__nat(v_U,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.44 102603[7:MRR:102497.0,461.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.44 78836[7:Rew:77105.0,29575.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_nat),v_U)**.
% 300.07/300.44 78404[7:Rew:77105.0,22836.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(u))** -> equal(v,v_U).
% 300.07/300.44 79909[7:Rew:77105.0,78098.1] || c_lessequals(u,v,tc_nat)* equal(v,v_U) -> equal(u,v_U).
% 300.07/300.44 48234[0:SSi:48201.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.44 164319[16:Res:164265.0,77230.1] || c_lessequals(hAPP(c_Set_Oinsert(u,v_U,v),v_U),v_U,tc_nat)* -> .
% 300.07/300.44 164267[16:Res:164090.0,77209.1] || equal(hAPP(c_Set_Oinsert(u,v_U,v),v_U),v_U)** -> .
% 300.07/300.44 164090[16:Res:164066.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat)*.
% 300.07/300.44 164066[16:Res:67291.0,163041.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_bool)*.
% 300.07/300.44 66830[0:SSi:66754.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_Finite__Set_Ofinite(u,tc_nat) c_in(c_Suc(c_Finite__Set_Olinorder__class_OMax(u,tc_nat)),u,tc_nat)* -> .
% 300.07/300.44 65893[0:SSi:65825.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* -> .
% 300.07/300.44 77330[7:Rew:77105.0,51883.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.44 161750[7:Res:157438.0,77230.1] || c_lessequals(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_U,tc_nat)* -> .
% 300.07/300.44 65892[0:SSi:65824.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* -> .
% 300.07/300.44 161716[7:Res:157395.0,77230.1] || c_lessequals(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_U,tc_nat)* -> .
% 300.07/300.44 160439[7:Res:111741.0,77230.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.44 65888[0:SSi:65666.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.44 156996[7:Con:156995.3] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ozero__class_Ozero(tc_bool),tc_nat)* equal(c_HOL_Ozero__class_Ozero(tc_bool),v_U).
% 300.07/300.44 151216[7:Res:135079.2,60.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || equal(c_HOL_Oone__class_Oone(tc_bool),v_U) -> equal(c_HOL_Ozero__class_Ozero(tc_bool),v_U)**.
% 300.07/300.44 65886[0:SSi:65613.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.44 448[0:Inp] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(w,x) c_lessequals(c_Set_Oimage(y,u,v,x),w,tc_fun(x,tc_bool))*+ c_lessequals(c_Set_Oimage(z,w,x,v),u,tc_fun(v,tc_bool))* c_Fun_Oinj__on(y,u,v,x) c_Fun_Oinj__on(z,w,x,v) -> equal(c_Finite__Set_Ocard(u,v),c_Finite__Set_Ocard(w,x)).
% 300.07/300.44 346[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool))*+ c_lessequals(x,v,tc_fun(w,tc_bool))* c_Fun_Oinj__on(y,v,w,z)* -> equal(c_HOL_Ominus__class_Ominus(c_Set_Oimage(y,u,w,z),c_Set_Oimage(y,x,w,z),tc_fun(z,tc_bool)),c_Set_Oimage(y,c_HOL_Ominus__class_Ominus(u,x,tc_fun(w,tc_bool)),w,z))**.
% 300.07/300.44 386[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || c_Finite__Set_Ofinite(v,w) c_in(x,v,w) -> equal(c_HOL_Oplus__class_Oplus(hAPP(y,x),c_Finite__Set_Osetsum(y,c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),w,u),u),c_Finite__Set_Osetsum(y,v,w,u))**.
% 300.07/300.44 399[0:Inp] class_OrderedGroup_Oab__group__add(u) || c_Finite__Set_Ofinite(v,w) c_in(x,v,w) -> equal(c_Finite__Set_Osetsum(y,c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),w,u),c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(y,v,w,u),hAPP(y,x),u))*.
% 300.07/300.44 400[0:Inp] class_Ring__and__Field_Oring(u) || c_Finite__Set_Ofinite(v,w) c_in(x,v,w) -> equal(c_Finite__Set_Osetsum(y,c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),w,u),c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(y,v,w,u),hAPP(y,x),u))*.
% 300.07/300.44 157334[0:MRR:157333.0,157333.1,309.0,500.0] || -> c_Fun_Oinj__on(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),w,x)*.
% 300.07/300.44 115868[0:MRR:115857.0,523.0] || -> c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),w,x,v),x)*.
% 300.07/300.44 104040[0:MRR:104028.0,523.0] || -> c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v,w),v,tc_fun(w,tc_bool)),w)*.
% 300.07/300.44 99200[5:SpL:496.0,47978.0] || equal(c_Set_Oimage(u,c_Set_Oinsert(v,w,x),x,y),v_G)** -> .
% 300.07/300.44 236[0:Inp] class_OrderedGroup_Oab__group__add(u) || c_Finite__Set_Ofinite(v,w) c_lessequals(x,v,tc_fun(w,tc_bool)) -> equal(c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(y,v,w,u),c_Finite__Set_Osetsum(y,x,w,u),u),c_Finite__Set_Osetsum(y,c_HOL_Ominus__class_Ominus(v,x,tc_fun(w,tc_bool)),w,u))**.
% 300.07/300.44 158654[7:Res:122305.1,158088.0] || c_lessequals(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),v_U,tc_bool)* -> .
% 300.07/300.44 158031[7:Res:158007.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),tc_nat)*.
% 300.07/300.44 158030[7:Res:158007.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),v_U)** -> .
% 300.07/300.44 158029[7:Res:158007.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),tc_bool)*.
% 300.07/300.44 158090[7:Res:158036.0,77230.1] || c_lessequals(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),v_U,tc_nat)* -> .
% 300.07/300.44 261[0:Inp] || hBOOL(hAPP(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)))) hBOOL(hAPP(u,c_Set_Oinsert(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(w,u,v),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(w,u,v),v)))*+ c_Finite__Set_Ofinite(x,v) c_lessequals(x,w,tc_fun(v,tc_bool))* -> hBOOL(hAPP(u,x))*.
% 300.07/300.44 158038[7:Res:158007.0,77209.1] || equal(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),v_U)** -> .
% 300.07/300.44 158007[7:Res:157848.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat)*.
% 300.07/300.44 157848[7:Res:67291.0,83854.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_bool)*.
% 300.07/300.44 669[0:Rew:259.0,401.3] || c_Finite__Set_Ofinite(u,v) c_in(w,u,v) c_in(x,u,v) -> c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(w,c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),v),tc_fun(v,tc_bool)),v),c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.44 67291[0:SSi:67264.0,612.0,616.0,613.0,617.0,614.0,615.0] || -> c_lessequals(hAPP(u,v),hAPP(c_Set_Oinsert(w,u,x),v),tc_bool)*.
% 300.07/300.44 157732[7:Res:156919.1,77209.1] || equal(c_Set_Oinsert(u,v,w),v_U)** -> c_in(u,v_U,w).
% 300.07/300.44 156951[7:Res:83430.0,77209.1] || equal(u,v_U) -> equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.44 156919[7:Res:79890.0,78165.0] || -> c_in(u,v_U,v) c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,w,v),tc_nat)*.
% 300.07/300.44 234[0:Inp] || c_in(u,v,w) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),x,tc_fun(w,tc_bool))* -> c_in(u,x,w) c_HOL_Oord__class_Oless(v,c_Set_Oinsert(u,x,w),tc_fun(w,tc_bool)).
% 300.07/300.44 157609[5:Res:122533.0,47806.0] || -> equal(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_G,v_G,u,t_a,t_a),v_G)**.
% 300.07/300.44 122533[5:MRR:122514.0,936.0] || -> c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(u,v_G,v,w,t_a),u,tc_fun(w,tc_bool))*.
% 300.07/300.44 90193[7:SpL:574.1,82567.0] || c_in(u,v,w)* equal(hAPP(v,u),v_U) -> .
% 300.07/300.44 89294[7:SpR:574.1,79565.0] || c_in(u,v,w)*+ -> c_HOL_Oord__class_Oless(v_U,hAPP(v,u),tc_nat)*.
% 300.07/300.44 233[0:Inp] || c_in(u,v,w) c_HOL_Oord__class_Oless(v,c_Set_Oinsert(u,x,w),tc_fun(w,tc_bool)) -> c_in(u,x,w) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),x,tc_fun(w,tc_bool))*.
% 300.07/300.44 157368[7:Res:157220.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat)*.
% 300.07/300.44 157257[7:Res:157219.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat)*.
% 300.07/300.44 157220[7:Res:99564.0,89277.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_bool)*.
% 300.07/300.44 157332[5:MRR:157331.0,157331.1,47780.0,500.0] || -> c_Fun_Oinj__on(u,c_Set_Oinsert(v,v_G,t_a),t_a,w)*.
% 300.07/300.44 253[0:Inp] || c_Fun_Oinj__on(u,v,w,x) -> c_in(hAPP(u,y),c_Set_Oimage(u,c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(y,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),w,x),x)* c_Fun_Oinj__on(u,c_Set_Oinsert(y,v,w),w,x).
% 300.07/300.44 157219[7:Res:99494.0,89277.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_bool)*.
% 300.07/300.44 89277[7:SpR:574.1,79404.0] || c_in(u,v,w)*+ -> c_HOL_Oord__class_Oless(v_U,hAPP(v,u),tc_bool)*.
% 300.07/300.44 86482[7:Res:86356.1,352.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.44 83430[7:SSi:83424.0,612.0,616.0,613.0,617.0,614.0,615.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.44 248[0:Inp] || hBOOL(hAPP(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)))) c_Finite__Set_Ofinite(w,v) c_lessequals(w,x,tc_fun(v,tc_bool))* c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(x,u,v),c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(x,u,v),v)*+ -> hBOOL(hAPP(u,w))*.
% 300.07/300.44 79890[7:Rew:77105.0,79486.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,v,w),tc_bool)* c_in(u,v_U,w).
% 300.07/300.44 79380[7:Rew:77105.0,73183.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.44 77248[7:Rew:77105.0,22852.2] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.44 77195[7:Rew:77105.0,22716.0] || equal(u,v_U) -> equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.44 423[0:Inp] || c_in(u,v,w)* c_lessequals(c_Set_Oimage(x,v,w,y),hAPP(z,c_Set_Oimage(x,v,w,y)),tc_fun(y,tc_bool))*+ -> c_in(hAPP(x,u),c_Inductive_Ocomplete__lattice__class_Ogfp(z,tc_fun(y,tc_bool)),y)*.
% 300.07/300.44 151259[7:Res:141733.1,77209.1] || equal(c_Set_Oinsert(u,v,w),v_U)** -> hBOOL(hAPP(v_U,u)).
% 300.07/300.44 143013[7:SpR:99801.1,385.0] || c_lessequals(u,v_U,tc_nat) -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)**.
% 300.07/300.44 153991[7:SpR:153803.1,384.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v)**.
% 300.07/300.44 153907[7:SpR:153803.1,37.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)**.
% 300.07/300.44 444[0:Inp] || c_in(u,v,w) c_lessequals(c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),x,tc_fun(w,tc_bool))* -> c_lessequals(v,c_Set_Oinsert(u,x,w),tc_fun(w,tc_bool)).
% 300.07/300.44 153803[7:MRR:153754.2,203.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)**.
% 300.07/300.44 151644[7:SpR:151466.1,384.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v)**.
% 300.07/300.44 151561[7:SpR:151466.1,37.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)**.
% 300.07/300.44 443[0:Inp] || c_in(u,v,w) c_lessequals(v,c_Set_Oinsert(u,x,w),tc_fun(w,tc_bool)) -> c_lessequals(c_HOL_Ominus__class_Ominus(v,c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),x,tc_fun(w,tc_bool))*.
% 300.07/300.44 151900[7:SpL:151466.1,1567.0] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.44 151466[7:MRR:151415.2,203.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)**.
% 300.07/300.44 252[0:Inp] || c_in(hAPP(u,v),c_Set_Oimage(u,c_HOL_Ominus__class_Ominus(w,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(x,tc_bool)),x),tc_fun(x,tc_bool)),x,y),y)* c_Fun_Oinj__on(u,c_Set_Oinsert(v,w,x),x,y) -> .
% 300.07/300.44 141733[7:Res:79891.0,78165.0] || -> hBOOL(hAPP(v_U,u)) c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,v,w),tc_nat)*.
% 300.07/300.44 135079[7:Res:79882.0,77209.1] || equal(u,v_U) -> equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.44 130608[7:Res:79872.1,86355.0] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.44 114586[7:Res:79565.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),tc_bool)*.
% 300.07/300.44 110689[7:Res:79565.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),tc_nat)*.
% 300.07/300.44 108621[7:SpL:77189.1,86354.0] || equal(u,v)*+ -> equal(u,v_U)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.44 101744[7:Res:77292.1,101465.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),v_U)** -> .
% 300.07/300.44 143593[7:SpL:100083.1,1567.0] || c_lessequals(u,v_U,tc_nat) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.44 232[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || c_Finite__Set_Ofinite(v,w) -> equal(c_Finite__Set_Osetsum(x,c_Set_Oinsert(y,v,w),w,u),c_HOL_Oplus__class_Oplus(hAPP(x,y),c_Finite__Set_Osetsum(x,v,w,u),u))* c_in(y,v,w).
% 300.07/300.44 100083[7:Rew:77123.0,99956.1,77120.0,99956.1] || c_lessequals(u,v_U,tc_nat) -> equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)**.
% 300.07/300.44 99801[7:Rew:77122.0,99718.1,77120.0,99718.1] || c_lessequals(u,v_U,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v)**.
% 300.07/300.44 142935[7:Res:122305.1,99096.0] || c_lessequals(hAPP(c_Set_Oinsert(u,v,w),u),v_U,tc_bool)* -> .
% 300.07/300.44 417[0:Inp] class_Orderings_Oorder(u) || c_lessequals(v,w,tc_nat) c_lessequals(hAPP(x,c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(x,u)),hAPP(x,c_Suc(c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1(x,u))),u)*+ -> c_lessequals(hAPP(x,v),hAPP(x,w),u)*.
% 300.07/300.44 98974[7:SpR:77201.1,79549.0] || equal(u,v_U)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)* equal(u,v)*.
% 300.07/300.44 95602[7:SpR:225.0,79861.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_bool)* equal(v_U,v).
% 300.07/300.44 440[0:Inp] || hBOOL(hAPP(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))))+ c_Finite__Set_Ofinite(w,v) c_lessequals(w,x,tc_fun(v,tc_bool))* -> hBOOL(hAPP(u,w))* c_in(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__1(x,u,v),x,v)*.
% 300.07/300.44 80108[7:Rew:77105.0,80107.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* c_lessequals(u,v,tc_nat).
% 300.07/300.44 79722[7:Rew:77105.0,73784.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_bool)* c_lessequals(u,v,tc_nat).
% 300.07/300.44 79555[7:Rew:77105.0,73523.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.44 79554[7:Rew:77105.0,73525.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.44 343[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool)) c_lessequals(x,y,tc_fun(w,tc_bool)) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,y,tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(v,x,tc_fun(w,tc_bool)),tc_fun(w,tc_bool))*.
% 300.07/300.44 79891[7:Rew:77105.0,79487.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,v,w),tc_bool)* hBOOL(hAPP(v_U,u)).
% 300.07/300.44 79391[7:Rew:77105.0,73180.1] || hBOOL(u)+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_bool)*.
% 300.07/300.44 79884[7:Rew:77105.0,79376.2] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* equal(v,u)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.44 418[0:Inp] || hBOOL(hAPP(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))))*+ c_Finite__Set_Ofinite(w,v) c_lessequals(w,x,tc_fun(v,tc_bool))* -> hBOOL(hAPP(u,w))* hBOOL(hAPP(u,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(x,u,v)))*.
% 300.07/300.44 79883[7:Rew:77105.0,78305.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.44 78164[7:Rew:77105.0,73368.1] || hBOOL(u)+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_bool)*.
% 300.07/300.44 79882[7:Rew:77105.0,77435.1] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.44 47768[5:Rew:47735.0,47759.1] || hBOOL(hAPP(hAPP(v_P,c_Set_Oinsert(hAPP(v_mgt__call,u),v,t_a)),c_Set_Oinsert(v_mgt(c_Option_Othe(c_Com_Obody(u),tc_Com_Ocom)),v_G,t_a)))* -> hBOOL(hAPP(hAPP(v_P,v),c_Set_Oinsert(hAPP(v_mgt__call,u),v_G,t_a))).
% 300.07/300.44 77347[7:Rew:77105.0,58015.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U)** c_lessequals(v,u,tc_nat).
% 300.07/300.44 77314[7:Rew:77105.0,38599.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)** c_lessequals(v,u,tc_nat).
% 300.07/300.44 77310[7:Rew:77105.0,33893.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.07/300.44 77309[7:Rew:77105.0,41822.1] || -> c_lessequals(u,c_Suc(v),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.07/300.44 453[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(c_Set_Oimage(w,x,y,v),u,tc_fun(v,tc_bool))* c_Fun_Oinj__on(w,x,y,v) -> c_lessequals(c_Finite__Set_Ocard(x,y),c_Finite__Set_Ocard(u,v),tc_nat).
% 300.07/300.44 77282[7:Rew:77105.0,22930.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) equal(c_HOL_Ominus__class_Ominus(v,c_Suc(u),tc_nat),v_U)**.
% 300.07/300.44 77281[7:Rew:77105.0,50137.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> equal(v,u).
% 300.07/300.44 77275[7:Rew:77105.0,22695.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat)* -> equal(v_U,v).
% 300.07/300.44 77271[7:Rew:77105.0,22701.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.44 419[0:Inp] || hBOOL(hAPP(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))))*+ c_Finite__Set_Ofinite(w,v) c_lessequals(w,x,tc_fun(v,tc_bool))* -> hBOOL(hAPP(u,w))* c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__induct__1__2(x,u,v),v)*.
% 300.07/300.44 77270[7:Rew:77105.0,22702.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.44 77259[7:Rew:77105.0,38584.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.44 77258[7:Rew:77105.0,39210.1] || equal(c_Suc(u),v) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.44 77255[7:Rew:77105.0,57898.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) c_lessequals(c_Suc(v),u,tc_nat)*.
% 300.07/300.45 47767[5:Rew:47735.0,47754.1] v_wt(u) || hBOOL(hAPP(hAPP(v_P,v),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(v,v_P,v_U,v_mgt__call)),v_G,t_a)))*+ -> hBOOL(hAPP(hAPP(v_P,v),c_Set_Oinsert(v_mgt(u),v_G,t_a)))*.
% 300.07/300.45 77242[7:Rew:77105.0,22684.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)**+ -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 77241[7:Rew:77105.0,22685.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)**+ -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 79877[7:Rew:77105.0,77199.1] || equal(u,v_U)*+ equal(v,v_U)* -> equal(v,u)*.
% 300.07/300.45 79876[7:Rew:77105.0,77198.2] || equal(u,v_U)*+ equal(v,u)* -> equal(v,v_U)*.
% 300.07/300.45 431[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(c_Set_Oimage(w,u,v,v),u,tc_fun(v,tc_bool))* c_Fun_Oinj__on(w,u,v,v) -> equal(c_Set_Oimage(w,u,v,v),u).
% 300.07/300.45 79875[7:Rew:77105.0,77197.2] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v,v_U).
% 300.07/300.45 79874[7:Rew:77105.0,77194.2] || equal(u,v_U)*+ -> equal(v,u)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 77181[7:Rew:77105.0,53534.0] || -> equal(u,v_U) c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 77180[7:Rew:77105.0,56895.0] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),u,tc_nat)*.
% 300.07/300.45 272[0:Inp] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(u,v,w,x),c_Set_Oimage(u,y,w,x),tc_fun(x,tc_bool)),c_Set_Oimage(u,c_HOL_Ominus__class_Ominus(v,y,tc_fun(w,tc_bool)),w,x),tc_fun(x,tc_bool))*.
% 300.07/300.45 77179[7:Rew:77105.0,57592.0] || -> equal(u,v_U) c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 77178[7:Rew:77105.0,57788.1] || equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),u)** -> equal(u,v_U).
% 300.07/300.45 79873[7:Rew:77105.0,77166.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v) c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.45 79872[7:Rew:77105.0,77163.1] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.45 505[0:Inp] || equal(c_Set_Oinsert(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),w),c_Set_Oinsert(x,c_Set_Oinsert(y,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),w))* -> equal(v,y) equal(v,x).
% 300.07/300.45 77143[7:Rew:77105.0,22665.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 79870[7:Rew:77105.0,77141.2] || equal(u,v)*+ -> equal(v_U,u)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 125001[10:Res:24120.1,124930.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),tc_fun(v,tc_bool),tc_nat),c_Suc(u))** -> .
% 300.07/300.45 124930[10:Res:205.1,124245.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(c_Suc(u),tc_fun(v,tc_bool),tc_nat),tc_nat)* -> .
% 300.07/300.45 507[0:Inp] || equal(c_Set_Oinsert(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),w),c_Set_Oinsert(x,c_Set_Oinsert(y,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),w))* -> equal(u,x) equal(v,x).
% 300.07/300.45 124723[10:Res:123196.1,39066.1] || c_lessequals(u,v_U,tc_bool)* equal(tc_fun(v,tc_bool),u)*+ -> .
% 300.07/300.45 124245[10:Res:123984.0,3384.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 123631[10:Res:121205.0,327.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 123196[10:SpL:225.0,122657.0] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 441[0:Inp] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) c_lessequals(w,v,tc_fun(u,tc_bool)) -> equal(w,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))) c_lessequals(c_Finite__Set_Olinorder__class_OMax(w,u),c_Finite__Set_Olinorder__class_OMax(v,u),u)*.
% 300.07/300.45 121341[10:Res:121135.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),c_Suc(u))** -> .
% 300.07/300.45 121303[10:SpR:322.0,121135.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),tc_nat)*.
% 300.07/300.45 121255[10:Res:121134.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat)),c_Suc(v))** -> .
% 300.07/300.45 442[0:Inp] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) c_lessequals(w,v,tc_fun(u,tc_bool)) -> equal(w,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))) c_lessequals(c_Finite__Set_Olinorder__class_OMin(v,u),c_Finite__Set_Olinorder__class_OMin(w,u),u)*.
% 300.07/300.45 124071[10:SpL:37.0,123647.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),u,tc_nat)* -> .
% 300.07/300.45 123984[10:SpR:37.0,123633.0] || -> c_lessequals(c_Suc(u),c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 123647[10:Res:121205.0,3437.1] || c_lessequals(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),v,tc_nat)* -> .
% 300.07/300.45 123633[10:Res:121205.0,265.0] || -> c_lessequals(c_Suc(u),c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),u,tc_nat),tc_nat)*.
% 300.07/300.45 449[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(u,w,tc_fun(v,tc_bool)) -> equal(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(w,v),c_Finite__Set_Ocard(u,v),tc_nat),c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(w,u,tc_fun(v,tc_bool)),v))**.
% 300.07/300.45 477[0:Inp] || c_lessequals(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool))* -> equal(u,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool))) equal(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w)).
% 300.07/300.45 121205[10:SpR:323.0,121134.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),u,tc_nat)),tc_nat)*.
% 300.07/300.45 429[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(u,c_Set_Oimage(w,x,y,v),tc_fun(v,tc_bool)) -> equal(c_Set_Oimage(w,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(x,u,w,y,v),y,v),u)**.
% 300.07/300.45 122666[11:Res:122305.1,113249.1] class_Orderings_Oorder(u) || c_lessequals(tc_fun(v,u),v_U,tc_bool)* -> .
% 300.07/300.45 122665[12:Res:122305.1,113509.1] class_Orderings_Opreorder(u) || c_lessequals(tc_fun(v,u),v_U,tc_bool)* -> .
% 300.07/300.45 145[0:Inp] || equal(hAPP(u,v),hAPP(u,w))*+ c_in(v,x,y)* c_in(w,x,y)* c_Fun_Oinj__on(u,x,y,z)* -> equal(v,w).
% 300.07/300.45 122664[13:Res:122305.1,113690.1] class_HOL_Oord(u) || c_lessequals(tc_fun(v,u),v_U,tc_bool)* -> .
% 300.07/300.45 122663[14:Res:122305.1,113872.1] class_Orderings_Obot(u) || c_lessequals(tc_fun(v,u),v_U,tc_bool)* -> .
% 300.07/300.45 122662[15:Res:122305.1,114068.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_lessequals(tc_fun(v,u),v_U,tc_bool)* -> .
% 300.07/300.45 122213[7:Rew:77124.0,122151.1] || c_lessequals(u,v_U,tc_bool)*+ c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 44[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Ozero__class_Ozero(u))**+ c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u)* c_lessequals(c_HOL_Ozero__class_Ozero(u),w,u)* -> equal(w,c_HOL_Ozero__class_Ozero(u)).
% 300.07/300.45 122210[7:Rew:77123.0,122140.1] || c_lessequals(u,v_U,tc_bool)*+ equal(u,c_Suc(v))* -> .
% 300.07/300.45 122657[10:Res:122305.1,115488.0] || c_lessequals(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 122656[10:Res:122305.1,115438.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 122648[7:Res:122305.1,77134.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* -> equal(v_U,u).
% 300.07/300.45 45[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Ozero__class_Ozero(u))**+ c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u)* c_lessequals(c_HOL_Ozero__class_Ozero(u),w,u)* -> equal(v,c_HOL_Ozero__class_Ozero(u)).
% 300.07/300.45 122647[7:Res:122305.1,111548.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* hBOOL(u) -> .
% 300.07/300.45 122585[7:Res:122305.1,77296.0] || c_lessequals(u,v_U,tc_bool)* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.45 338[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool)) c_lessequals(v,x,tc_fun(w,tc_bool)) -> equal(c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(x,u,tc_fun(w,tc_bool)),tc_fun(w,tc_bool)),u)**.
% 300.07/300.45 122667[7:Res:122305.1,90823.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_bool)* -> .
% 300.07/300.45 122644[7:Res:122305.1,34707.0] || c_lessequals(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),v_U,tc_bool)* -> .
% 300.07/300.45 258[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)),c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(x,v,w),tc_fun(w,tc_bool)))**.
% 300.07/300.45 122650[10:Res:122305.1,110944.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 122804[0:AED:315.0,122801.1] class_OrderedGroup_Ogroup__add(tc_fun(u,tc_bool)) || -> .
% 300.07/300.45 122586[7:Res:122305.1,83163.1] || c_lessequals(u,v_U,tc_bool)* hBOOL(u) -> .
% 300.07/300.45 432[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(u,c_Set_Oimage(w,x,y,v),tc_fun(v,tc_bool))*+ -> c_lessequals(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(x,u,w,y,v),x,tc_fun(y,tc_bool))*.
% 300.07/300.45 122206[7:Rew:77124.0,122010.1] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 239[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(w,u,tc_fun(v,tc_bool)) c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(w,v),c_Finite__Set_Ocard(u,v),tc_nat)* -> c_HOL_Oord__class_Oless(w,u,tc_fun(v,tc_bool)).
% 300.07/300.45 122199[7:Rew:77124.0,122008.1] || c_lessequals(u,v_U,tc_bool)*+ -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 120896[7:MRR:120851.1,77259.0] || c_lessequals(u,v_U,tc_bool) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 120010[7:Res:114191.1,77209.1] || equal(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v_U)** -> c_Finite__Set_Ofinite(v_U,v).
% 300.07/300.45 121339[10:Res:121135.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),u)** -> .
% 300.07/300.45 121253[10:Res:121134.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),v)** -> .
% 300.07/300.45 121135[10:AED:315.0,121104.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 121134[10:AED:315.0,121103.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),u,tc_nat),tc_nat)*.
% 300.07/300.45 115287[10:SpL:632.1,115171.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* equal(v,v_U) -> .
% 300.07/300.45 115247[10:SpR:632.1,115139.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 114985[10:Res:95936.1,39066.1] || c_lessequals(u,v_U,tc_nat)* equal(tc_fun(v,tc_bool),u)*+ -> .
% 300.07/300.45 114782[7:SpL:37.0,95861.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> equal(v,v_U).
% 300.07/300.45 114599[11:Res:113221.1,89259.0] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_bool)*.
% 300.07/300.45 114598[12:Res:113368.1,89259.0] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_bool)*.
% 300.07/300.45 114597[13:Res:113560.1,89259.0] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_bool)*.
% 300.07/300.45 114596[14:Res:113741.1,89259.0] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_bool)*.
% 300.07/300.45 23[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_Set_Ovimage(u,v,w,x),c_Set_Ovimage(u,y,w,x),tc_fun(w,tc_bool)),c_Set_Ovimage(u,c_HOL_Ominus__class_Ominus(v,y,tc_fun(x,tc_bool)),w,x))**.
% 300.07/300.45 114595[15:Res:114040.1,89259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_bool)*.
% 300.07/300.45 114191[7:Res:79898.0,78165.0] || -> c_Finite__Set_Ofinite(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Set_Oimage(v,v_U,tc_Com_Opname,u),tc_nat)*.
% 300.07/300.45 659[0:Rew:90.1,120.1,90.1,120.1] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(x,y,u),u),u),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(x,c_HOL_Oplus__class_Oplus(w,y,u),u),u))*.
% 300.07/300.45 114044[15:Res:114040.1,77320.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 114043[15:Res:114040.1,77327.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),v_U)** -> .
% 300.07/300.45 28[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(v,w,u) c_lessequals(c_HOL_Ozero__class_Ozero(u),x,u) -> c_lessequals(v,c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 113848[14:Res:113741.1,77320.0] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 113847[14:Res:113741.1,77327.0] class_Orderings_Obot(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),v_U)** -> .
% 300.07/300.45 29[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(v,w,u) c_lessequals(c_HOL_Ozero__class_Ozero(u),x,u) -> c_lessequals(v,c_HOL_Oplus__class_Oplus(w,x,u),u)*.
% 300.07/300.45 113564[13:Res:113560.1,77320.0] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 98[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_HOL_Oord__class_Oless(v,w,u) c_lessequals(c_HOL_Ozero__class_Ozero(u),x,u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 113563[13:Res:113560.1,77327.0] class_HOL_Oord(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),v_U)** -> .
% 300.07/300.45 21[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(v,w,u) c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),x,u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 113372[12:Res:113368.1,77320.0] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 113371[12:Res:113368.1,77327.0] class_Orderings_Opreorder(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),v_U)** -> .
% 300.07/300.45 164[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || c_lessequals(v,w,u)* c_lessequals(x,c_HOL_Oplus__class_Oplus(y,v,u),u)*+ -> c_lessequals(x,c_HOL_Oplus__class_Oplus(y,w,u),u)*.
% 300.07/300.45 113225[11:Res:113221.1,77320.0] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 113224[11:Res:113221.1,77327.0] class_Orderings_Oorder(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),v_U)** -> .
% 300.07/300.45 95937[10:SSi:95928.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.07/300.45 179[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add(u) || c_lessequals(v,w,u) c_lessequals(x,y,u) -> c_lessequals(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,y,u),u)*.
% 300.07/300.45 137[0:Inp] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) || c_HOL_Oord__class_Oless(v,w,u) c_lessequals(x,y,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,y,u),u)*.
% 300.07/300.45 136[0:Inp] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) || c_lessequals(v,w,u) c_HOL_Oord__class_Oless(x,y,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,y,u),u)*.
% 300.07/300.45 115340[10:Res:115194.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 115339[10:Res:115194.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 115338[10:Res:115194.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 188[0:Inp] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) || c_HOL_Oord__class_Oless(v,w,u) c_HOL_Oord__class_Oless(x,y,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,y,u),u)*.
% 300.07/300.45 115215[10:Res:115046.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 115213[10:Res:115046.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 115867[5:MRR:115848.0,936.0] || -> c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(u,v_G,v,w,t_a),w)*.
% 300.07/300.45 430[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(u,c_Set_Oimage(w,x,y,v),tc_fun(v,tc_bool))*+ -> c_Finite__Set_Ofinite(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(x,u,w,y,v),y)*.
% 300.07/300.45 115043[10:Res:77292.1,114958.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 115704[10:Res:115318.0,39066.1] || equal(tc_fun(u,tc_bool),v)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 115622[10:Res:115288.1,39066.1] || equal(u,v_U) equal(tc_fun(v,tc_bool),u)* -> .
% 300.07/300.45 115547[10:Res:115248.0,39066.1] || equal(tc_fun(u,tc_bool),v)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 242[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,v,w),x,tc_fun(w,tc_bool)),c_Set_Oinsert(u,c_HOL_Ominus__class_Ominus(v,x,tc_fun(w,tc_bool)),w))** c_in(u,x,w).
% 300.07/300.45 115318[10:SpR:225.0,115194.0] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat).
% 300.07/300.45 115288[10:SpL:225.0,115171.0] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 115248[10:SpR:225.0,115139.0] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_bool).
% 300.07/300.45 51[0:Inp] || c_OrderedGroup_Oab__semigroup__mult(u,v)*+ -> equal(hAPP(hAPP(u,w),hAPP(hAPP(u,x),y)),hAPP(hAPP(u,x),hAPP(hAPP(u,w),y)))*.
% 300.07/300.45 114959[10:Res:95936.1,203.0] || c_lessequals(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 115194[10:SpR:37.0,115046.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat)*.
% 300.07/300.45 115171[10:SpL:37.0,115045.0] || equal(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),v_U)** -> .
% 300.07/300.45 50[0:Inp] || c_OrderedGroup_Oab__semigroup__mult(u,v)*+ -> equal(hAPP(hAPP(u,hAPP(hAPP(u,w),x)),y),hAPP(hAPP(u,w),hAPP(hAPP(u,x),y)))**.
% 300.07/300.45 115139[10:SpR:37.0,115044.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_bool)*.
% 300.07/300.45 115046[10:Res:77174.0,114958.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 115045[10:Res:77216.1,114958.0] || equal(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),v_U)** -> .
% 300.07/300.45 115044[10:Res:86356.1,114958.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_bool)*.
% 300.07/300.45 11[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u) c_lessequals(c_HOL_Ozero__class_Ozero(u),w,u) -> c_lessequals(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,w,u),u)*.
% 300.07/300.45 114958[10:Res:95936.1,204.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 95936[10:SSi:95927.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v_U,tc_nat) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 95900[10:SSi:95891.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 114849[10:SSi:114836.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(tc_fun(u,tc_bool),v_U,tc_bool)* -> .
% 300.07/300.45 110[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),v,u) c_lessequals(c_HOL_Ozero__class_Ozero(u),w,u) -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,w,u),u)*.
% 300.07/300.45 95899[10:SSi:95890.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_bool)*.
% 300.07/300.45 95861[7:SpL:77191.1,95852.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> equal(u,v_U).
% 300.07/300.45 95854[7:SSi:95848.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_bool)* -> .
% 300.07/300.45 89259[7:SSi:89249.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.07/300.45 109[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u) c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),w,u) -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,w,u),u)*.
% 300.07/300.45 79771[7:Rew:77105.0,74303.1] || equal(c_Suc(u),v)*+ -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.07/300.45 79765[7:Rew:77105.0,74085.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 79898[7:Rew:77105.0,79518.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oimage(u,v_U,tc_Com_Opname,v),tc_bool)* c_Finite__Set_Ofinite(v_U,v).
% 300.07/300.45 114069[15:Res:114049.1,77230.1] class_Complete__Lattice_Ocomplete__lattice(u) || c_lessequals(tc_fun(v,u),v_U,tc_nat)* -> .
% 300.07/300.45 76[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),v,u) c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),w,u) -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,w,u),u)*.
% 300.07/300.45 114051[15:Res:114040.1,77209.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(tc_fun(v,u),v_U)** -> .
% 300.07/300.45 114040[15:Res:114031.1,78165.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_nat)*.
% 300.07/300.45 114031[15:Spt:79897.0,79897.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_bool)*.
% 300.07/300.45 216[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_lessequals(v,c_HOL_Ozero__class_Ozero(u),u) c_lessequals(w,c_HOL_Ozero__class_Ozero(u),u) -> c_lessequals(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 113873[14:Res:113853.1,77230.1] class_Orderings_Obot(u) || c_lessequals(tc_fun(v,u),v_U,tc_nat)* -> .
% 300.07/300.45 113855[14:Res:113741.1,77209.1] class_Orderings_Obot(u) || equal(tc_fun(v,u),v_U)** -> .
% 300.07/300.45 113741[14:Res:113732.1,78165.0] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_nat)*.
% 300.07/300.45 63[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_HOL_Oord__class_Oless(v,c_HOL_Ozero__class_Ozero(u),u) c_lessequals(w,c_HOL_Ozero__class_Ozero(u),u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 113732[14:Spt:79896.0,79896.1] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_bool)*.
% 300.07/300.45 113691[13:Res:113569.1,77230.1] class_HOL_Oord(u) || c_lessequals(tc_fun(v,u),v_U,tc_nat)* -> .
% 300.07/300.45 113571[13:Res:113560.1,77209.1] class_HOL_Oord(u) || equal(tc_fun(v,u),v_U)** -> .
% 300.07/300.45 62[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_lessequals(v,c_HOL_Ozero__class_Ozero(u),u) c_HOL_Oord__class_Oless(w,c_HOL_Ozero__class_Ozero(u),u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 113560[13:Res:113551.1,78165.0] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_nat)*.
% 300.07/300.45 113551[13:Spt:79895.0,79895.1] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_bool)*.
% 300.07/300.45 113510[12:Res:113377.1,77230.1] class_Orderings_Opreorder(u) || c_lessequals(tc_fun(v,u),v_U,tc_nat)* -> .
% 300.07/300.45 108[0:Inp] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_HOL_Oord__class_Oless(v,c_HOL_Ozero__class_Ozero(u),u) c_HOL_Oord__class_Oless(w,c_HOL_Ozero__class_Ozero(u),u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 113379[12:Res:113368.1,77209.1] class_Orderings_Opreorder(u) || equal(tc_fun(v,u),v_U)** -> .
% 300.07/300.45 113368[12:Res:113359.1,78165.0] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_nat)*.
% 300.07/300.45 113359[12:Spt:79894.0,79894.1] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_bool)*.
% 300.07/300.45 113250[11:Res:113230.1,77230.1] class_Orderings_Oorder(u) || c_lessequals(tc_fun(v,u),v_U,tc_nat)* -> .
% 300.07/300.45 518[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(w,u,tc_fun(v,tc_bool)) c_lessequals(c_Finite__Set_Ocard(u,v),c_Finite__Set_Ocard(w,v),tc_nat)* -> equal(w,u).
% 300.07/300.45 113232[11:Res:113221.1,77209.1] class_Orderings_Oorder(u) || equal(tc_fun(v,u),v_U)** -> .
% 300.07/300.45 113221[11:Res:113212.1,78165.0] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_nat)*.
% 300.07/300.45 113212[11:Spt:79893.0,79893.1] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_U,tc_fun(v,u),tc_bool)*.
% 300.07/300.45 434[0:Inp] class_Ring__and__Field_Oring__1(u) || c_lessequals(v,w,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(w,u),c_Nat_Osemiring__1__class_Oof__nat(v,u),u),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(w,v,tc_nat),u))**.
% 300.07/300.45 79409[7:Rew:77105.0,73182.0] || -> c_in(v_U,c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_Com_Opname,v),v)*.
% 300.07/300.45 77327[7:Rew:77105.0,48023.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U) -> .
% 300.07/300.45 112077[7:Res:110995.1,86355.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 554[0:Inp] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(w,v,tc_nat))* c_lessequals(v,u,tc_nat) c_lessequals(v,w,tc_nat) -> equal(u,w).
% 300.07/300.45 111712[7:Res:77292.1,111549.1] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** hBOOL(u) -> .
% 300.07/300.45 110995[7:Res:110642.1,77320.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 111978[10:Res:111323.0,77230.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 111950[7:Res:110694.0,86355.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_bool)*.
% 300.07/300.45 421[0:Inp] || c_in(hAPP(u,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v,w,u,x,y)),w,y)* -> c_lessequals(c_Set_Oimage(u,v,x,y),w,tc_fun(y,tc_bool)).
% 300.07/300.45 110694[7:Res:87461.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.45 424[0:Inp] || c_in(hAPP(u,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v,w,u,x,y)),w,y)* -> c_lessequals(c_Set_Oimage(u,v,x,y),w,tc_fun(y,tc_bool)).
% 300.07/300.45 537[0:Inp] || c_in(u,v,w)* c_lessequals(c_Set_Oimage(x,v,w,y),z,tc_fun(y,tc_bool))*+ -> c_in(hAPP(x,u),z,y)*.
% 300.07/300.45 111549[7:Res:111000.1,77230.1] || hBOOL(u) c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 478[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || equal(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ominus__class_Ominus(x,y,u))* c_lessequals(w,v,u) -> c_lessequals(y,x,u).
% 300.07/300.45 111319[10:Res:110851.0,86355.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 110968[10:Res:77292.1,110945.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 289[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || equal(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ominus__class_Ominus(x,y,u))* c_HOL_Oord__class_Oless(x,y,u) -> c_HOL_Oord__class_Oless(v,w,u).
% 300.07/300.45 110851[10:Res:110697.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 94[0:Inp] class_OrderedGroup_Oab__group__add(u) || equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u),c_HOL_Oplus__class_Oplus(w,y,u))* -> equal(c_HOL_Oplus__class_Oplus(v,x,u),y).
% 300.07/300.45 110996[7:Res:110642.1,86355.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.45 334[0:Inp] class_HOL_Oord(u) || c_lessequals(v,w,tc_fun(x,u))*+ -> c_lessequals(w,v,tc_fun(x,u))* c_HOL_Oord__class_Oless(v,w,tc_fun(x,u)).
% 300.07/300.45 110642[7:Res:77449.1,77320.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 110945[10:Res:110856.0,77230.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 246[0:Inp] || c_in(u,v,w)* c_lessequals(v,hAPP(x,v),tc_fun(w,tc_bool))*+ -> c_in(u,c_Inductive_Ocomplete__lattice__class_Ogfp(x,tc_fun(w,tc_bool)),w)*.
% 300.07/300.45 110852[10:Res:110697.0,86355.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_bool)*.
% 300.07/300.45 110697[10:Res:95898.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 77320[7:Rew:77105.0,48022.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.07/300.45 427[0:Inp] || -> equal(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))) equal(c_Set_Oimage(c_COMBK(w,x,v),u,v,x),c_Set_Oinsert(w,c_Orderings_Obot__class_Obot(tc_fun(x,tc_bool)),x))**.
% 300.07/300.45 77319[7:Rew:77105.0,48293.1] || equal(c_Suc(u),v)*+ -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.07/300.45 77318[7:Rew:77105.0,49871.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)*+ -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 77313[7:Rew:77105.0,40992.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 77291[7:Rew:77105.0,48423.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)**+ equal(c_Suc(v),u)* -> .
% 300.07/300.45 437[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(v,u,tc_nat)),w,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(v),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat))**.
% 300.07/300.45 77288[7:Rew:77105.0,35053.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 77280[7:Rew:77105.0,22700.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat),v_U)**.
% 300.07/300.45 77279[7:Rew:77105.0,22698.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat),v_U)**.
% 300.07/300.45 79879[7:Rew:77105.0,77276.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> equal(v_U,v).
% 300.07/300.45 438[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(w,u,tc_nat),c_Suc(v),tc_nat),c_HOL_Ominus__class_Ominus(w,c_Suc(c_HOL_Ominus__class_Ominus(v,u,tc_nat)),tc_nat))**.
% 300.07/300.45 79878[7:Rew:77105.0,77225.1] || c_lessequals(u,v_U,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 566[0:Inp] || c_in(u,v,w) -> equal(c_Set_Oinsert(hAPP(x,u),c_Set_Oimage(x,v,w,y),y),c_Set_Oimage(x,v,w,y))**.
% 300.07/300.45 571[0:Inp] || equal(c_Set_Oinsert(u,v,w),c_Set_Oinsert(u,x,w))* -> equal(v,x) c_in(u,v,w) c_in(u,x,w).
% 300.07/300.45 79871[7:Rew:77105.0,77144.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 435[0:Inp] || c_Finite__Set_Ofinite(u,v) equal(c_Finite__Set_Ocard(c_Set_Oimage(w,u,v,x),x),c_Finite__Set_Ocard(u,v))** -> c_Fun_Oinj__on(w,u,v,x).
% 300.07/300.45 446[0:Inp] || c_in(u,v,w)*+ -> equal(c_Set_Oimage(c_COMBK(x,y,w),v,w,y),c_Set_Oinsert(x,c_Orderings_Obot__class_Obot(tc_fun(y,tc_bool)),y))**.
% 300.07/300.45 345[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool)) -> c_lessequals(c_Set_Ovimage(x,u,y,w),c_Set_Ovimage(x,v,y,w),tc_fun(y,tc_bool))*.
% 300.07/300.45 480[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool)) -> c_lessequals(c_Set_Oimage(x,u,w,y),c_Set_Oimage(x,v,w,y),tc_fun(y,tc_bool))*.
% 300.07/300.45 200[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(v,w,u) c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),x,u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 105345[7:Res:93100.0,77230.1] || c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 491[0:Inp] || c_in(u,v,w) c_lessequals(x,v,tc_fun(w,tc_bool)) -> c_lessequals(c_Set_Oinsert(u,x,w),v,tc_fun(w,tc_bool))*.
% 300.07/300.45 243[0:Inp] || c_in(u,v,w) -> equal(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(u,x,w),v,tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(x,v,tc_fun(w,tc_bool)))**.
% 300.07/300.45 47755[5:Rew:47735.0,456.1] v_wt(u) || -> hBOOL(hAPP(hAPP(v_P,v),c_Set_Oinsert(v_mgt(u),v_G,t_a)))* c_in(v_sko__local__Xassms__3__1(v,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname).
% 300.07/300.45 428[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(u,c_Set_Oimage(w,u,v,v),tc_fun(v,tc_bool))* -> c_Fun_Oinj__on(w,u,v,v).
% 300.07/300.45 78102[7:Rew:77105.0,22833.0] || -> equal(c_Finite__Set_Ocard(u,v),v_U) equal(c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),c_Suc(c_Finite__Set_Ocard(u,v)))** c_in(w,u,v).
% 300.07/300.45 412[0:Inp] || c_in(u,c_Set_Ovimage(v,c_Set_Oinsert(w,c_Orderings_Obot__class_Obot(tc_fun(x,tc_bool)),x),y,x),y)* -> equal(hAPP(v,u),w).
% 300.07/300.45 568[0:Inp] || c_lessequals(u,c_Set_Oinsert(v,w,x),tc_fun(x,tc_bool))* -> c_in(v,u,x) c_lessequals(u,w,tc_fun(x,tc_bool)).
% 300.07/300.45 660[0:MRR:415.2,464.0] || c_lessequals(u,v,tc_fun(w,tc_bool)) -> c_in(x,v,w) c_HOL_Oord__class_Oless(u,c_Set_Oinsert(x,v,w),tc_fun(w,tc_bool))*.
% 300.07/300.45 254[0:Inp] || c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,w,x),tc_fun(x,tc_bool)),x)* -> c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(u,w,tc_fun(x,tc_bool)),x).
% 300.07/300.45 255[0:Inp] || c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)),w) -> c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(x,v,w),tc_fun(w,tc_bool)),w)*.
% 300.07/300.45 466[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool))*+ c_lessequals(v,x,tc_fun(w,tc_bool))* -> c_lessequals(u,x,tc_fun(w,tc_bool))*.
% 300.07/300.45 80102[7:Rew:77105.0,80101.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),tc_nat)*.
% 300.07/300.45 340[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_fun(w,tc_bool))*+ c_lessequals(v,x,tc_fun(w,tc_bool))* -> c_HOL_Oord__class_Oless(u,x,tc_fun(w,tc_bool))*.
% 300.07/300.45 79774[7:Rew:77105.0,74324.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),tc_bool)*.
% 300.07/300.45 339[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool))*+ c_HOL_Oord__class_Oless(v,x,tc_fun(w,tc_bool))* -> c_HOL_Oord__class_Oless(u,x,tc_fun(w,tc_bool))*.
% 300.07/300.45 79405[7:Rew:77105.0,71471.0] || -> hBOOL(hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_Com_Opname,v),v_U))*.
% 300.07/300.45 9[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_fun(w,tc_bool))*+ c_HOL_Oord__class_Oless(v,x,tc_fun(w,tc_bool))* -> c_HOL_Oord__class_Oless(u,x,tc_fun(w,tc_bool))*.
% 300.07/300.45 79881[7:Rew:77105.0,77370.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)* equal(v_U,u).
% 300.07/300.45 77343[7:Rew:77105.0,54793.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),v_U)** -> .
% 300.07/300.45 77312[7:Rew:77105.0,38603.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat),v_U)**.
% 300.07/300.45 18187[0:MRR:550.0,18100.2] || c_lessequals(u,v,tc_nat) c_lessequals(c_HOL_Ominus__class_Ominus(w,u,tc_nat),c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)* -> c_lessequals(w,v,tc_nat).
% 300.07/300.45 12192[0:MRR:396.0,12118.2] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(w,u,tc_nat),c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(w,v,tc_nat).
% 300.07/300.45 79880[7:Rew:77105.0,77293.1] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 363[0:Inp] || c_lessequals(u,v,tc_nat) c_lessequals(w,x,tc_nat) -> c_lessequals(c_HOL_Oplus__class_Oplus(u,w,tc_nat),c_HOL_Oplus__class_Oplus(v,x,tc_nat),tc_nat)*.
% 300.07/300.45 101466[7:Res:90637.0,77230.1] || c_lessequals(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),v_U,tc_nat)* -> .
% 300.07/300.45 101465[7:Res:89302.0,77230.1] || c_lessequals(hAPP(c_Set_Oinsert(u,v,w),u),v_U,tc_nat)* -> .
% 300.07/300.45 189[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(w,x,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,w,tc_nat),c_HOL_Oplus__class_Oplus(v,x,tc_nat),tc_nat)*.
% 300.07/300.45 283[0:Inp] || c_lessequals(u,v,tc_nat) c_lessequals(w,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat) -> c_lessequals(c_HOL_Oplus__class_Oplus(w,u,tc_nat),v,tc_nat)*.
% 300.07/300.45 280[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(w,u,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,w,tc_nat),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 79869[7:Rew:77105.0,77137.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 377[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(u,w,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(w,v,tc_nat),c_HOL_Ominus__class_Ominus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 79868[7:Rew:77105.0,77133.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** -> equal(v_U,u).
% 300.07/300.45 100456[7:Res:77292.1,100202.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),v_U)** -> .
% 300.07/300.45 100202[7:Res:77232.1,90823.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_nat)* -> .
% 300.07/300.45 387[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat),c_HOL_Oplus__class_Oplus(w,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat))**.
% 300.07/300.45 389[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(w,u,tc_nat),v,tc_nat),c_HOL_Ominus__class_Ominus(w,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat))**.
% 300.07/300.45 87432[7:Res:195.1,78165.0] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oone__class_Oone(tc_bool),tc_bool),tc_nat)*.
% 300.07/300.45 388[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(v,u,tc_nat),w,tc_nat))**.
% 300.07/300.45 99609[7:Res:99606.0,82519.0] || equal(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_U)** -> .
% 300.07/300.45 99606[0:Res:99564.0,544.0] || -> hBOOL(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)))*.
% 300.07/300.45 99564[0:Res:420.0,982.0] || -> c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),v_U,tc_Com_Opname)*.
% 300.07/300.45 420[0:Inp] || -> c_lessequals(c_Set_Oimage(u,v,w,x),y,tc_fun(x,tc_bool))* c_in(c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v,y,u,w,x),v,w)*.
% 300.07/300.45 79750[7:Rew:77105.0,73877.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_bool)*.
% 300.07/300.45 99539[7:Res:99536.0,82519.0] || equal(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_U)** -> .
% 300.07/300.45 99536[0:Res:99494.0,544.0] || -> hBOOL(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)))*.
% 300.07/300.45 99494[0:Res:422.0,982.0] || -> c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),v_U,tc_Com_Opname)*.
% 300.07/300.45 422[0:Inp] || -> c_lessequals(c_Set_Oimage(u,v,w,x),y,tc_fun(x,tc_bool))* c_in(c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v,y,u,w,x),v,w)*.
% 300.07/300.45 79408[7:Rew:77105.0,73181.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oone__class_Oone(tc_bool),tc_bool),tc_bool)*.
% 300.07/300.45 99203[5:Rew:99186.0,411.0] || -> c_in(u,c_Set_Ovimage(v,c_Set_Oimage(v,c_Set_Oinsert(u,v_G,t_a),t_a,w),x,w),x)*.
% 300.07/300.45 77326[7:Rew:77105.0,48716.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_nat)*.
% 300.07/300.45 496[0:Inp] || -> equal(c_Set_Oimage(u,c_Set_Oinsert(v,w,x),x,y),c_Set_Oinsert(hAPP(u,v),c_Set_Oimage(u,w,x,y),y))*.
% 300.07/300.45 77307[7:Rew:77105.0,37178.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),v_U)** -> .
% 300.07/300.45 545[0:Inp] || c_Finite__Set_Ofinite(u,v) -> equal(c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),c_Suc(c_Finite__Set_Ocard(u,v)))** c_in(w,u,v).
% 300.07/300.45 79549[7:Rew:77105.0,73782.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(v,u).
% 300.07/300.45 77278[7:Rew:77105.0,22696.1] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* equal(v_U,v).
% 300.07/300.45 77277[7:Rew:77105.0,22697.1] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(v_U,v).
% 300.07/300.45 77273[7:Rew:77105.0,43927.1] || -> equal(u,v) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 114[0:Inp] class_Int_Onumber__ring(u) class_Ring__and__Field_Oidom(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(v,x,u))* -> equal(w,x).
% 300.07/300.45 77263[7:Rew:77105.0,22689.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** c_HOL_Oord__class_Oless(v,u,tc_nat).
% 300.07/300.45 77262[7:Rew:77105.0,38586.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** c_lessequals(v,u,tc_nat).
% 300.07/300.45 77261[7:Rew:77105.0,38651.1] || equal(u,v) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 77240[7:Rew:77105.0,43569.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(v,u).
% 300.07/300.45 482[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool)) -> c_lessequals(c_Set_Oinsert(x,u,w),c_Set_Oinsert(x,v,w),tc_fun(w,tc_bool))*.
% 300.07/300.45 77203[7:Rew:77105.0,22633.0] || equal(u,v_U) -> equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v)**.
% 300.07/300.45 77202[7:Rew:77105.0,22634.0] || equal(u,v_U) -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)**.
% 300.07/300.45 77201[7:Rew:77105.0,22636.0] || equal(u,v_U) -> equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)**.
% 300.07/300.45 77200[7:Rew:77105.0,22638.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)** -> equal(u,v_U).
% 300.07/300.45 577[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(w,u,tc_fun(v,tc_bool)) -> c_lessequals(c_Finite__Set_Ocard(w,v),c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.45 96385[7:Rew:77124.0,96256.1] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 95702[7:MRR:95658.0,77259.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 79601[7:Rew:77105.0,73534.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 347[0:Inp] || c_Finite__Set_Ofinite(u,v) c_HOL_Oord__class_Oless(w,u,tc_fun(v,tc_bool)) -> c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(w,v),c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.45 96014[10:Res:77292.1,96004.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v_U)** -> .
% 300.07/300.45 96004[10:Res:77232.1,95938.0] || c_lessequals(tc_fun(u,tc_bool),v_U,tc_nat)* -> .
% 300.07/300.45 407[0:Inp] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> equal(v,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))) c_in(c_Finite__Set_Olinorder__class_OMax(v,u),v,u)*.
% 300.07/300.45 95921[10:Res:95898.0,77209.1] || equal(tc_fun(u,tc_bool),v_U)** -> .
% 300.07/300.45 95898[10:Res:95889.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,tc_fun(u,tc_bool),tc_nat)*.
% 300.07/300.45 408[0:Inp] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) -> equal(v,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool))) c_in(c_Finite__Set_Olinorder__class_OMin(v,u),v,u)*.
% 300.07/300.45 95889[10:Spt:79863.0] || -> c_HOL_Oord__class_Oless(v_U,tc_fun(u,tc_bool),tc_bool)*.
% 300.07/300.45 95852[7:SSi:95841.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(c_Suc(u),v_U,tc_bool)* -> .
% 300.07/300.45 79395[7:Rew:77105.0,75991.0] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_bool)*.
% 300.07/300.45 38[0:Inp] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,x,tc_nat))*+ c_HOL_Oord__class_Oless(w,v,tc_nat)* -> c_HOL_Oord__class_Oless(u,x,tc_nat)*.
% 300.07/300.45 79387[7:Rew:77105.0,75992.1] || c_lessequals(c_Suc(u),v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 79862[7:Rew:77105.0,78303.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(v,v_U).
% 300.07/300.45 79861[7:Rew:77105.0,77371.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(v_U,u).
% 300.07/300.45 77308[7:Rew:77105.0,37339.0] || -> equal(c_Finite__Set_Osetsum(c_COMBK(v_U,tc_nat,u),v,u,tc_nat),v_U)**.
% 300.07/300.45 557[0:Inp] || equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),c_Set_Oinsert(w,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v))* -> equal(u,w).
% 300.07/300.45 77305[7:Rew:77105.0,48230.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 94935[7:Res:77292.1,92088.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)** hBOOL(u) -> .
% 300.07/300.45 664[0:Obv:12.1] class_OrderedGroup_Opordered__comm__monoid__add(u) || c_lessequals(c_HOL_Ozero__class_Ozero(u),c_HOL_Ozero__class_Ozero(u),u) -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(u),c_HOL_Ozero__class_Ozero(u),u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 77292[7:Rew:77105.0,48231.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 77268[7:Rew:77105.0,22683.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat),v_U)**.
% 300.07/300.45 77267[7:Rew:77105.0,22681.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat),v_U)**.
% 300.07/300.45 77249[7:Rew:77105.0,41139.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.07/300.45 341[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool))*+ c_Fun_Oinj__on(x,v,w,y)* -> c_Fun_Oinj__on(x,u,w,y)*.
% 300.07/300.45 77231[7:Rew:77105.0,26654.0] || c_lessequals(u,v_U,tc_nat)*+ c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 77228[7:Rew:77105.0,30363.0] || c_lessequals(u,v_U,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 77226[7:Rew:77105.0,39213.0] || c_lessequals(u,v_U,tc_nat)*+ equal(c_Suc(v),u)* -> .
% 300.07/300.45 77207[7:Rew:77105.0,22635.0] || equal(u,v_U) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 150[0:Inp] || c_in(u,v,w) -> c_in(u,x,w) c_in(u,c_HOL_Ominus__class_Ominus(v,x,tc_fun(w,tc_bool)),w)*.
% 300.07/300.45 79857[7:Rew:77105.0,77205.1] || equal(u,v_U) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 79855[7:Rew:77105.0,77165.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** c_HOL_Oord__class_Oless(v_U,u,tc_nat).
% 300.07/300.45 79854[7:Rew:77105.0,77149.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 79853[7:Rew:77105.0,77148.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 172[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(v,x,u),u)* -> c_lessequals(w,x,u).
% 300.07/300.45 174[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(x,w,u),u)* -> c_lessequals(v,x,u).
% 300.07/300.45 80007[7:Rew:77105.0,80006.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_nat)*.
% 300.07/300.45 79731[7:Rew:77105.0,73813.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_bool)*.
% 300.07/300.45 209[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(x,w,u),u)* -> c_HOL_Oord__class_Oless(v,x,u).
% 300.07/300.45 212[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(v,x,u),u)* -> c_HOL_Oord__class_Oless(w,x,u).
% 300.07/300.45 77342[7:Rew:77105.0,54782.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),v_U)** -> .
% 300.07/300.45 77311[7:Rew:77105.0,38602.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat),v_U)**.
% 300.07/300.45 173[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(v,w,u) -> c_lessequals(c_HOL_Oplus__class_Oplus(x,v,u),c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 92088[7:Res:77232.1,83163.1] || c_lessequals(u,v_U,tc_nat)* hBOOL(u) -> .
% 300.07/300.45 175[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_lessequals(v,w,u) -> c_lessequals(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,x,u),u)*.
% 300.07/300.45 79859[7:Rew:77105.0,77227.1] || c_lessequals(u,v_U,tc_nat)* -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.45 170[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add(u) || c_lessequals(v,w,u) -> c_lessequals(c_HOL_Oplus__class_Oplus(x,v,u),c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 171[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add(u) || c_lessequals(v,w,u) -> c_lessequals(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,x,u),u)*.
% 300.07/300.45 208[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,x,u),u)*.
% 300.07/300.45 79852[7:Rew:77105.0,77138.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 211[0:Inp] class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(x,v,u),c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 82806[7:Res:79384.0,82519.0] || equal(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),v_U)** -> .
% 300.07/300.45 79995[7:Con:79994.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_nat)*.
% 300.07/300.45 90632[9:Spt:79866.1] || -> c_Finite__Set_Ofinite(v_U,t_a)*.
% 300.07/300.45 79410[7:Rew:77105.0,73234.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_bool)*.
% 300.07/300.45 207[0:Inp] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,x,u),c_HOL_Oplus__class_Oplus(w,x,u),u)*.
% 300.07/300.45 77285[7:Rew:77105.0,34708.0] || c_lessequals(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),v_U,tc_nat)* -> .
% 300.07/300.45 210[0:Inp] class_OrderedGroup_Opordered__cancel__ab__semigroup__add(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(x,v,u),c_HOL_Oplus__class_Oplus(x,w,u),u)*.
% 300.07/300.45 82567[7:Res:493.0,82519.0] || equal(hAPP(c_Set_Oinsert(u,v,w),u),v_U)** -> .
% 300.07/300.45 2[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u),c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,x,u),u))*.
% 300.07/300.45 79565[7:Rew:77105.0,73291.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,v,w),u),tc_nat)*.
% 300.07/300.45 79404[7:Rew:77105.0,73190.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,v,w),u),tc_bool)*.
% 300.07/300.45 89211[7:Res:79847.1,86355.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v_U,u,tc_bool)*.
% 300.07/300.45 86355[7:Res:79375.1,7062.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 6[0:Inp] class_OrderedGroup_Oab__group__add(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u),c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,x,u),u))*.
% 300.07/300.45 86354[7:Res:79375.1,39216.0] || equal(c_Suc(u),v)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 79397[7:Rew:77105.0,71246.0] || c_lessequals(u,v_U,tc_bool)*+ -> c_lessequals(u,v,tc_bool)*.
% 300.07/300.45 79392[7:Rew:77105.0,71242.1] || c_HOL_Oord__class_Oless(u,v,tc_bool)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 80230[7:Rew:77105.0,77256.1] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**+ equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U)** -> equal(u,v).
% 300.07/300.45 88241[7:Res:87461.0,77209.1] || equal(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),v_U)** -> .
% 300.07/300.45 87461[7:Res:80043.0,78165.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.07/300.45 87585[8:Spt:87456.0] || -> v_wt(v_U)*.
% 300.07/300.45 78165[7:Rew:77105.0,73255.1] || c_HOL_Oord__class_Oless(u,v,tc_bool)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 77253[7:Rew:77105.0,22692.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 77252[7:Rew:77105.0,25737.1] || equal(c_Suc(u),v)*+ -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 77315[7:Rew:77105.0,22855.2] || c_Finite__Set_Ofinite(u,v) -> equal(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))) c_HOL_Oord__class_Oless(v_U,c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.45 77247[7:Rew:77105.0,22677.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),v_U)**.
% 300.07/300.45 77245[7:Rew:77105.0,25798.1] || equal(c_Suc(u),v)* equal(v,v_U) -> .
% 300.07/300.45 77234[7:Rew:77105.0,22663.0] || c_lessequals(u,v_U,tc_nat)*+ -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 77210[7:Rew:77105.0,22639.0] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 77219[7:Rew:77105.0,22834.1] || c_Finite__Set_Ofinite(u,v) equal(c_Finite__Set_Ocard(u,v),v_U)**+ -> equal(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)))*.
% 300.07/300.45 77209[7:Rew:77105.0,22640.0] || equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 77171[7:Rew:77105.0,22653.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat).
% 300.07/300.45 77251[7:Rew:77105.0,22853.2] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_Nat_Osemiring__1__class_Oof__nat(v,u),u)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.07/300.45 86356[7:Res:79375.1,6295.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 77250[7:Rew:77105.0,22854.1] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(v_U,v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_Nat_Osemiring__1__class_Oof__nat(v,u),u)*.
% 300.07/300.45 79849[7:Rew:77105.0,77372.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)* equal(v_U,u).
% 300.07/300.45 77257[7:Rew:77105.0,50240.1] class_OrderedGroup_Opordered__ab__group__add(tc_nat) || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 77237[7:Rew:77105.0,22699.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(u))),tc_nat),v_U)**.
% 300.07/300.45 79848[7:Rew:77105.0,77196.1] || equal(u,v_U) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)**.
% 300.07/300.45 79847[7:Rew:77105.0,77164.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.45 79846[7:Rew:77105.0,77142.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)** -> equal(v_U,u).
% 300.07/300.45 77167[7:Rew:77105.0,22650.0] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),u,tc_nat)*.
% 300.07/300.45 79845[7:Rew:77105.0,77140.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 80043[7:MRR:80042.0,624.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_bool)*.
% 300.07/300.45 79604[7:Rew:77105.0,73376.0] || -> c_HOL_Oord__class_Oless(v_U,c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_bool)*.
% 300.07/300.45 77266[7:Rew:77105.0,22694.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 77265[7:Rew:77105.0,22690.1] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 77264[7:Rew:77105.0,22691.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 77284[7:Rew:77105.0,34462.0] || -> c_HOL_Oord__class_Oless(v_U,c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat)*.
% 300.07/300.45 77246[7:Rew:77105.0,22680.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u)** -> equal(v,v_U).
% 300.07/300.45 77283[7:Rew:77105.0,34350.0] || equal(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),v_U)** -> .
% 300.07/300.45 79860[7:Rew:77105.0,77243.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(v,v_U).
% 300.07/300.45 79381[7:Rew:77105.0,71254.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_lessequals(u,v,tc_bool)*.
% 300.07/300.45 83414[7:Res:77448.1,77.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oone__class_Oone(tc_bool),tc_nat)*.
% 300.07/300.45 77448[7:Rew:77105.0,73249.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_lessequals(u,v,tc_bool)*.
% 300.07/300.45 77216[7:Rew:77105.0,22641.0] || equal(u,v_U) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 79858[7:Rew:77105.0,77211.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(u,v_U).
% 300.07/300.45 77174[7:Rew:77105.0,22654.1] || -> c_lessequals(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat).
% 300.07/300.45 79386[7:Rew:77105.0,71253.0] || -> c_in(v_U,c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),u)*.
% 300.07/300.45 79383[7:Rew:77105.0,71243.0] || -> equal(hAPP(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v),v_U)**.
% 300.07/300.45 77236[7:Rew:77105.0,22674.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)**.
% 300.07/300.45 83003[7:SSi:82994.0,612.0,616.0,613.0,617.0,614.0,615.0] || -> equal(c_Orderings_Obot__class_Obot(tc_bool),v_U)**.
% 300.07/300.45 79844[7:Rew:77105.0,77373.0] || c_lessequals(u,v_U,tc_bool)* -> equal(v_U,u).
% 300.07/300.45 77221[7:Rew:77105.0,22682.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(u)),tc_nat),v_U)**.
% 300.07/300.45 77235[7:Rew:77105.0,22673.1] class_Ring__and__Field_Osemiring__1(u) || -> equal(c_Nat_Osemiring__1__class_Oof__nat(v_U,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 79843[7:Rew:77105.0,77153.0] || c_lessequals(u,v_U,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 79384[7:Rew:77105.0,71248.0] || -> hBOOL(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U))*.
% 300.07/300.45 79385[7:Rew:77105.0,71252.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oone__class_Oone(tc_bool),tc_bool)*.
% 300.07/300.45 77220[7:Rew:77105.0,22658.1] || -> c_Finite__Set_Ofinite(u,v) equal(c_Finite__Set_Ocard(u,v),v_U)**.
% 300.07/300.45 82519[7:Res:77449.1,39066.1] || hBOOL(u)* equal(u,v_U) -> .
% 300.07/300.45 79382[7:Rew:77105.0,71249.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)*.
% 300.07/300.45 79841[7:Rew:77105.0,77721.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v_U,u,tc_bool)*.
% 300.07/300.45 77449[7:Rew:77105.0,73222.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.45 77127[7:Rew:77105.0,22631.0] || -> equal(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),u),v_U)**.
% 300.07/300.45 79840[7:Rew:77105.0,77154.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,u,tc_nat)*.
% 300.07/300.45 77126[7:Rew:77105.0,22675.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(u),tc_nat),v_U)**.
% 300.07/300.45 77125[7:Rew:77105.0,22629.0] || -> equal(c_HOL_Ominus__class_Ominus(u,u,tc_nat),v_U)**.
% 300.07/300.45 77124[7:Rew:77105.0,22628.0] || -> equal(c_HOL_Oplus__class_Oplus(u,v_U,tc_nat),u)**.
% 300.07/300.45 77123[7:Rew:77105.0,22627.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v_U,tc_nat),u)**.
% 300.07/300.45 77121[7:Rew:77105.0,22678.0] || c_lessequals(c_Suc(u),v_U,tc_nat)* -> .
% 300.07/300.45 77122[7:Rew:77105.0,22626.0] || -> equal(c_HOL_Oplus__class_Oplus(v_U,u,tc_nat),u)**.
% 300.07/300.45 77366[7:Rew:77105.0,73219.0] || -> c_HOL_Oord__class_Oless(v_U,c_Suc(u),tc_bool)*.
% 300.07/300.45 77120[7:Rew:77105.0,22630.0] || -> equal(c_HOL_Ominus__class_Ominus(v_U,u,tc_nat),v_U)**.
% 300.07/300.45 77365[7:Rew:77105.0,71245.0] || c_HOL_Oord__class_Oless(u,v_U,tc_bool)* -> .
% 300.07/300.45 77362[7:Rew:77105.0,71241.0] || -> equal(hAPP(v_G,u),v_U)**.
% 300.07/300.45 77117[7:Rew:77105.0,22622.0] || equal(c_Suc(u),v_U)** -> .
% 300.07/300.45 77116[7:Rew:77105.0,22621.0] || c_HOL_Oord__class_Oless(u,v_U,tc_nat)* -> .
% 300.07/300.45 77115[7:Rew:77105.0,22620.0] || -> c_HOL_Oord__class_Oless(v_U,c_Suc(u),tc_nat)*.
% 300.07/300.45 77300[7:Rew:77105.0,36429.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(v_U,tc_nat),v_U)**.
% 300.07/300.45 77112[7:Rew:77105.0,22617.0] || -> equal(c_Finite__Set_Ocard(v_G,t_a),v_U)**.
% 300.07/300.45 77364[7:Rew:77105.0,71251.0] || -> c_lessequals(v_U,u,tc_bool)*.
% 300.07/300.45 77109[7:Rew:77105.0,22614.0] || -> equal(c_HOL_Ozero__class_Ozero(tc_nat),v_U)**.
% 300.07/300.45 77108[7:Rew:77105.0,22613.0] || -> equal(c_Orderings_Obot__class_Obot(tc_nat),v_U)**.
% 300.07/300.45 77110[7:Rew:77105.0,22615.0] || -> c_lessequals(v_U,u,tc_nat)*.
% 300.07/300.45 77363[7:Rew:77105.0,71250.0] || hBOOL(v_U)* -> .
% 300.07/300.45 77105[7:Spt:73215.1] || -> equal(v_na,v_U)**.
% 300.07/300.45 650[0:Rew:90.1,88.1,90.1,88.1] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(x,w,u),u))*.
% 300.07/300.45 89[0:Inp] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u),c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,x,u),u))*.
% 300.07/300.45 3[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v,w,u),x,u),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u))**.
% 300.07/300.45 90[0:Inp] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v,w,u),x,u),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u))**.
% 300.07/300.45 1[0:Inp] class_OrderedGroup_Oab__semigroup__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(v,w,u),x,u),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,x,u),u))**.
% 300.07/300.45 67345[0:SpR:95.0,67289.0] || -> c_lessequals(u,u,tc_bool)*.
% 300.07/300.45 536[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(w,c_Set_Oimage(x,u,v,y),tc_fun(y,tc_bool))* -> c_Finite__Set_Ofinite(w,y).
% 300.07/300.45 586[0:Inp] class_HOL_Oord(u) || c_lessequals(v,w,tc_fun(x,u))*+ -> c_lessequals(hAPP(v,y),hAPP(w,y),u)*.
% 300.07/300.45 406[0:Inp] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) c_in(w,v,u) -> c_lessequals(w,c_Finite__Set_Olinorder__class_OMax(v,u),u)*.
% 300.07/300.45 405[0:Inp] class_Orderings_Olinorder(u) || c_Finite__Set_Ofinite(v,u) c_in(w,v,u) -> c_lessequals(c_Finite__Set_Olinorder__class_OMin(v,u),w,u)*.
% 300.07/300.45 65885[0:SSi:65665.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 65884[0:SSi:65612.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 223[0:Inp] class_Ring__and__Field_Osemiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_Nat_Osemiring__1__class_Oof__nat(w,u),u),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u))**.
% 300.07/300.45 96[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)),v,tc_fun(w,tc_bool)),c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)))**.
% 300.07/300.45 262[0:Inp] || c_Finite__Set_Ofinite(c_Set_Oimage(u,v,w,x),x)* c_Fun_Oinj__on(u,v,w,x) -> c_Finite__Set_Ofinite(v,w).
% 300.07/300.45 398[0:Inp] || c_Fun_Oinj__on(u,v,w,x) -> equal(c_Finite__Set_Ocard(c_Set_Oimage(u,v,w,x),x),c_Finite__Set_Ocard(v,w))**.
% 300.07/300.45 488[0:Inp] class_Orderings_Oorder(u) || c_lessequals(v,w,u)*+ c_lessequals(x,v,u)* -> c_lessequals(x,w,u)*.
% 300.07/300.45 487[0:Inp] class_Orderings_Opreorder(u) || c_lessequals(v,w,u)*+ c_lessequals(w,x,u)* -> c_lessequals(v,x,u)*.
% 300.07/300.45 63075[5:SpR:574.1,63056.0] || c_in(u,v,w)*+ -> c_HOL_Oord__class_Oless(v_G,v,tc_fun(t_a,tc_bool))*.
% 300.07/300.45 63061[5:Res:2172.0,62658.0] || -> c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(u,v_U,tc_Com_Opname,v),tc_fun(t_a,tc_bool))*.
% 300.07/300.45 168[0:Inp] class_Orderings_Oorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_lessequals(x,v,u)* -> c_HOL_Oord__class_Oless(x,w,u)*.
% 300.07/300.45 63056[5:Res:493.0,62658.0] || -> c_HOL_Oord__class_Oless(v_G,c_Set_Oinsert(u,v,w),tc_fun(t_a,tc_bool))*.
% 300.07/300.45 63053[5:Res:738.0,62658.0] || -> c_HOL_Oord__class_Oless(v_G,v_U,tc_fun(t_a,tc_bool))*.
% 300.07/300.45 62658[5:MRR:62637.2,47789.0] || hBOOL(hAPP(u,v))*+ -> c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool))*.
% 300.07/300.45 165[0:Inp] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_lessequals(w,x,u)* -> c_HOL_Oord__class_Oless(v,x,u)*.
% 300.07/300.45 62656[5:MRR:62641.0,936.0] || -> c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool))* c_Finite__Set_Ofinite(u,t_a).
% 300.07/300.45 167[0:Inp] class_Orderings_Oorder(u) || c_lessequals(v,w,u)*+ c_HOL_Oord__class_Oless(x,v,u)* -> c_HOL_Oord__class_Oless(x,w,u)*.
% 300.07/300.45 61712[0:MRR:668.1,61711.1] || c_HOL_Oord__class_Oless(u,v,tc_fun(w,tc_bool)) -> c_HOL_Oord__class_Oless(u,c_Set_Oinsert(x,v,w),tc_fun(w,tc_bool))*.
% 300.07/300.45 166[0:Inp] class_Orderings_Opreorder(u) || c_lessequals(v,w,u)*+ c_HOL_Oord__class_Oless(w,x,u)* -> c_HOL_Oord__class_Oless(v,x,u)*.
% 300.07/300.45 8[0:Inp] class_Orderings_Oorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_HOL_Oord__class_Oless(x,v,u)* -> c_HOL_Oord__class_Oless(x,w,u)*.
% 300.07/300.45 10[0:Inp] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_HOL_Oord__class_Oless(w,x,u)* -> c_HOL_Oord__class_Oless(v,x,u)*.
% 300.07/300.45 60456[0:SpR:40529.0,21950.0] || -> hBOOL(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_Com_Opname),v_pn))*.
% 300.07/300.45 60450[0:SpR:40529.0,21935.0] || -> c_in(v_pn,c_Set_Oinsert(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_Com_Opname),tc_Com_Opname)*.
% 300.07/300.45 40529[0:SpR:737.0,542.0] || -> equal(c_Set_Oinsert(v_pn,c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),c_Set_Oinsert(u,v_U,tc_Com_Opname))**.
% 300.07/300.45 288[0:Inp] || -> equal(c_Set_Ovimage(c_COMBK(u,v,w),x,w,v),c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)))** c_in(u,x,v).
% 300.07/300.45 335[0:Inp] class_HOL_Oord(u) || c_HOL_Oord__class_Oless(v,w,tc_fun(x,u)) c_lessequals(w,v,tc_fun(x,u))* -> .
% 300.07/300.45 202[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_lessequals(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u),u)* -> c_lessequals(v,c_HOL_Ozero__class_Ozero(u),u).
% 300.07/300.45 25800[5:Res:24120.1,3084.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))))),u)** -> .
% 300.07/300.45 55[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u),u)* -> c_HOL_Oord__class_Oless(v,c_HOL_Ozero__class_Ozero(u),u).
% 300.07/300.45 56[0:Inp] class_Ring__and__Field_Oordered__idom(u) || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u),u)* -> c_HOL_Oord__class_Oless(v,c_HOL_Ozero__class_Ozero(u),u).
% 300.07/300.45 16[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_lessequals(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,v,u),u)* -> c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u).
% 300.07/300.45 140[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,v,u),u)* -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),v,u).
% 300.07/300.45 15[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_lessequals(c_HOL_Ozero__class_Ozero(u),v,u) -> c_lessequals(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,v,u),u)*.
% 300.07/300.45 141[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),v,u) -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(v,v,u),u)*.
% 300.07/300.45 201[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_lessequals(v,c_HOL_Ozero__class_Ozero(u),u) -> c_lessequals(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 54[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || c_HOL_Oord__class_Oless(v,c_HOL_Ozero__class_Ozero(u),u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 57[0:Inp] class_Ring__and__Field_Oordered__idom(u) || c_HOL_Oord__class_Oless(v,c_HOL_Ozero__class_Ozero(u),u) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 55443[0:Obv:55442.2] class_Int_Onumber__ring(tc_fun(u,tc_bool)) class_Ring__and__Field_Oidom(tc_fun(u,tc_bool)) || -> .
% 300.07/300.45 515[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool))*+ c_lessequals(v,u,tc_fun(w,tc_bool))* -> equal(u,v).
% 300.07/300.45 55431[5:Obv:55430.2] class_Int_Onumber__ring(tc_nat) class_Ring__and__Field_Oidom(tc_nat) || -> .
% 300.07/300.45 297[0:Inp] class_Int_Onumber__ring(u) class_Ring__and__Field_Oidom(u) || equal(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u))** -> equal(v,w).
% 300.07/300.45 41[0:Inp] class_Int_Onumber__ring(u) class_Ring__and__Field_Oidom(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),v)** -> equal(w,c_HOL_Ozero__class_Ozero(u)).
% 300.07/300.45 54992[5:Obv:54991.0] || -> equal(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)))**.
% 300.07/300.45 55010[5:MRR:55009.0,1113.0] || -> c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_fun(tc_Com_Opname,tc_bool))*.
% 300.07/300.45 533[0:Inp] || equal(c_Set_Oimage(u,v,w,x),c_Orderings_Obot__class_Obot(tc_fun(x,tc_bool)))** -> equal(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool))).
% 300.07/300.45 22[0:Inp] || c_Fun_Oinj__on(u,v,w,x) -> c_Fun_Oinj__on(u,c_HOL_Ominus__class_Ominus(v,y,tc_fun(w,tc_bool)),w,x)*.
% 300.07/300.45 178[0:Inp] class_Orderings_Opreorder(u) || c_lessequals(v,w,u)*+ -> c_lessequals(w,v,u)* c_HOL_Oord__class_Oless(v,w,u).
% 300.07/300.45 464[0:Inp] || c_in(u,v,w)* c_lessequals(v,x,tc_fun(w,tc_bool))*+ -> c_in(u,x,w)*.
% 300.07/300.45 144[0:Inp] || c_in(u,v,w)* c_HOL_Oord__class_Oless(v,x,tc_fun(w,tc_bool))*+ -> c_in(u,x,w)*.
% 300.07/300.45 116[0:Inp] class_OrderedGroup_Ocancel__semigroup__add(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(v,x,u))* -> equal(w,x).
% 300.07/300.45 117[0:Inp] class_OrderedGroup_Ocancel__semigroup__add(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(x,w,u))* -> equal(v,x).
% 300.07/300.45 50244[5:MRR:49359.2,50243.1] class_OrderedGroup_Opordered__ab__group__add(tc_fun(t_a,tc_bool)) || c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool))* -> .
% 300.07/300.45 47747[5:Rew:47735.0,921.0] || c_in(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),hAPP(v_P,v_G),u)* -> .
% 300.07/300.45 115[0:Inp] class_OrderedGroup_Ocancel__ab__semigroup__add(u) || equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(v,x,u))* -> equal(w,x).
% 300.07/300.45 333[0:Inp] class_HOL_Oord(u) || c_HOL_Oord__class_Oless(v,w,tc_fun(x,u)) -> c_lessequals(v,w,tc_fun(x,u))*.
% 300.07/300.45 578[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(w,u,v,x),x),c_Finite__Set_Ocard(u,v),tc_nat)*.
% 300.07/300.45 51163[5:Res:50511.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)**+ -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 50915[5:SpR:37.0,39079.1] || equal(u,v) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 50560[5:Res:35691.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u)**+ -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 50511[0:SpR:37.0,35691.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 39137[5:Res:39025.1,367.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)*+ -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 39136[5:Res:39025.1,366.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)*+ -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 39079[5:MRR:38993.1,22615.0] || equal(u,v) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 512[0:Inp] class_Orderings_Oorder(u) || c_lessequals(v,w,u)*+ c_lessequals(w,v,u)* -> equal(v,w).
% 300.07/300.45 35691[0:Res:12730.1,355.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 29824[0:SpR:225.0,29121.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_HOL_Ominus__class_Ominus(v,w,tc_nat),u,tc_nat)*.
% 300.07/300.45 50262[5:Res:543.1,47794.0] || hBOOL(hAPP(c_Set_Oinsert(u,v_G,t_a),v))* -> equal(v,u).
% 300.07/300.45 50415[5:MRR:50414.1,22621.0] class_OrderedGroup_Opordered__ab__group__add(tc_nat) || -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 240[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || c_lessequals(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)* -> c_lessequals(v,w,u).
% 300.07/300.45 47794[5:SpL:47735.0,538.0] || c_in(u,c_Set_Oinsert(v,v_G,t_a),t_a)* -> equal(u,v).
% 300.07/300.45 47786[5:SpR:47735.0,68.1] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,v_G,t_a,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 190[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)* -> c_HOL_Oord__class_Oless(v,w,u).
% 300.07/300.45 169[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || c_lessequals(v,hAPP(w,v),u)*+ -> c_lessequals(v,c_Inductive_Ocomplete__lattice__class_Ogfp(w,u),u)*.
% 300.07/300.45 241[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || c_lessequals(v,w,u) -> c_lessequals(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 49383[5:MRR:49382.2,22621.0] class_OrderedGroup_Opordered__ab__group__add(tc_nat) || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> .
% 300.07/300.45 191[0:Inp] class_OrderedGroup_Opordered__ab__group__add(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u),u)*.
% 300.07/300.45 535[0:Inp] || c_lessequals(c_Set_Oinsert(u,v,w),x,tc_fun(w,tc_bool))* -> c_lessequals(v,x,tc_fun(w,tc_bool)).
% 300.07/300.45 534[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool)) -> c_lessequals(u,c_Set_Oinsert(x,v,w),tc_fun(w,tc_bool))*.
% 300.07/300.45 302[0:Inp] || c_Finite__Set_Ofinite(u,v) c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(w,u,tc_fun(v,tc_bool)),v)* -> c_Finite__Set_Ofinite(w,v).
% 300.07/300.45 337[0:Inp] || c_lessequals(u,v,tc_fun(w,tc_bool))* -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_fun(w,tc_bool)).
% 300.07/300.45 250[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_Nat_Osemiring__1__class_Oof__nat(w,u),u)* -> c_lessequals(v,w,tc_nat).
% 300.07/300.45 47778[5:SpR:47735.0,257.1] class_Orderings_Olinorder(t_a) || -> equal(c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(u,v_G,t_a),t_a),u)**.
% 300.07/300.45 47777[5:SpR:47735.0,260.1] class_Orderings_Olinorder(t_a) || -> equal(c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(u,v_G,t_a),t_a),u)**.
% 300.07/300.45 47973[5:SpL:95.0,47969.0] || hBOOL(u) equal(c_COMBK(u,v,w),v_G)** -> .
% 300.07/300.45 47785[5:SpR:47735.0,304.0] || -> equal(c_Set_Ovimage(u,v_G,v,t_a),c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)))**.
% 300.07/300.45 193[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_Nat_Osemiring__1__class_Oof__nat(w,u),u)* -> c_HOL_Oord__class_Oless(v,w,tc_nat).
% 300.07/300.45 47784[5:SpR:47735.0,576.0] || -> equal(c_Set_Oimage(u,v_G,t_a,v),c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)))**.
% 300.07/300.45 47806[5:Rew:47776.0,781.1] || c_lessequals(u,v_G,tc_fun(t_a,tc_bool))* -> equal(v_G,u).
% 300.07/300.45 249[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_lessequals(v,w,tc_nat) -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_Nat_Osemiring__1__class_Oof__nat(w,u),u)*.
% 300.07/300.45 48040[5:SpL:574.1,47978.0] || c_in(u,v,w)* equal(v,v_G) -> .
% 300.07/300.45 47983[5:Res:2172.0,47969.0] || equal(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v_G)** -> .
% 300.07/300.45 47978[5:Res:493.0,47969.0] || equal(c_Set_Oinsert(u,v,w),v_G)** -> .
% 300.07/300.45 47976[5:Res:738.0,47969.0] || equal(v_G,v_U)** -> .
% 300.07/300.45 192[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(v,w,tc_nat) -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_Nat_Osemiring__1__class_Oof__nat(w,u),u)*.
% 300.07/300.45 47969[5:Res:543.1,47853.0] || hBOOL(hAPP(u,v))* equal(u,v_G) -> .
% 300.07/300.45 47842[5:SSi:47839.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || -> equal(u,v_G) c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool))*.
% 300.07/300.45 471[0:Inp] || hBOOL(hAPP(u,v))* c_lessequals(u,w,tc_fun(x,tc_bool))*+ -> hBOOL(hAPP(w,v))*.
% 300.07/300.45 47781[5:SpR:47735.0,308.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_fun(t_a,tc_bool)),u)**.
% 300.07/300.45 47776[5:SpR:47735.0,305.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_fun(t_a,tc_bool)),v_G)**.
% 300.07/300.45 47791[5:SpL:47735.0,306.0] || c_HOL_Oord__class_Oless(u,v_G,tc_fun(t_a,tc_bool))* -> .
% 300.07/300.45 47783[5:SpR:47735.0,5500.0] || -> c_Finite__Set_Ofinite(c_Set_Oinsert(u,v_G,t_a),t_a)*.
% 300.07/300.45 47775[5:SpR:47735.0,532.0] || -> c_lessequals(v_G,u,tc_fun(t_a,tc_bool))*.
% 300.07/300.45 47736[5:Rew:47735.0,626.0] || hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a)))* -> .
% 300.07/300.45 47780[5:SpR:47735.0,309.0] || -> c_Fun_Oinj__on(u,v_G,t_a,v)*.
% 300.07/300.45 47790[5:SpL:47735.0,500.0] || c_in(u,v_G,t_a)* -> .
% 300.07/300.45 47735[5:MRR:47734.0,936.0] || -> equal(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G)**.
% 300.07/300.45 527[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),c_Suc(c_HOL_Ominus__class_Ominus(v,u,tc_nat)))**.
% 300.07/300.45 42985[5:Res:24120.1,41013.0] || equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(v))** -> .
% 300.07/300.45 503[0:Inp] || c_lessequals(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_fun(v,tc_bool))* -> equal(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))).
% 300.07/300.45 43104[5:Rew:22628.0,43037.1] || c_lessequals(c_Suc(u),v,tc_nat)* equal(v,u) -> .
% 300.07/300.45 41568[5:Res:35076.0,39066.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v)** -> .
% 300.07/300.45 41013[0:Res:205.1,35057.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),tc_nat)* -> .
% 300.07/300.45 40756[5:Res:40684.1,1614.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 40755[5:Res:40684.1,1716.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 40727[5:Res:40684.1,25636.0] || equal(u,v) equal(c_Suc(c_Suc(c_Suc(v))),u)* -> .
% 300.07/300.45 42466[5:Rew:22628.0,42359.1] || equal(u,v) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 40706[5:MRR:40656.0,35061.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 39171[5:Res:25765.1,39066.1] || equal(c_Suc(c_Suc(u)),c_Suc(v))* equal(v,u) -> .
% 300.07/300.45 153[0:Inp] || c_in(hAPP(u,v),w,x) -> c_in(v,c_Set_Ovimage(u,w,y,x),y)*.
% 300.07/300.45 39146[5:Res:39025.1,3362.0] || equal(c_Suc(u),v) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 39085[5:Res:39025.1,3358.1] || equal(c_Suc(u),v) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 155[0:Inp] || c_in(u,c_Set_Ovimage(v,w,x,y),x)* -> c_in(hAPP(v,u),w,y).
% 300.07/300.45 36389[5:MRR:36305.2,35813.0] || equal(c_Suc(c_Suc(u)),c_Suc(c_Suc(v)))* -> equal(u,v).
% 300.07/300.45 35076[0:Res:34600.0,270.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 35075[0:Res:34600.0,495.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 35061[5:Res:34600.0,24119.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)),v)** -> .
% 300.07/300.45 585[0:Inp] || c_in(u,v,w) -> c_in(hAPP(x,u),c_Set_Oimage(x,v,w,y),y)*.
% 300.07/300.45 35057[0:Res:34600.0,3384.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.07/300.45 40721[5:Res:40684.1,3384.1] || equal(u,v) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 516[0:Inp] || c_in(u,c_Set_Oinsert(v,w,x),x)* -> equal(u,v) c_in(u,w,x).
% 300.07/300.45 40684[5:Rew:22628.0,40588.1] || equal(u,v) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 34604[0:Rew:37.0,34511.0,322.0,34511.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 542[0:Inp] || -> equal(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),c_Set_Oinsert(v,c_Set_Oinsert(u,w,x),x))*.
% 300.07/300.45 157[0:Inp] class_Orderings_Olinorder(u) || c_lessequals(v,w,u)* -> equal(v,w) c_HOL_Oord__class_Oless(v,w,u).
% 300.07/300.45 39150[5:Res:39025.1,1614.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 39149[5:Res:39025.1,1716.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 39098[5:Res:39025.1,25636.0] || equal(u,v) equal(c_Suc(c_Suc(v)),u)* -> .
% 300.07/300.45 163[0:Inp] class_Orderings_Oorder(u) || c_lessequals(v,w,u)* -> equal(w,v) c_HOL_Oord__class_Oless(v,w,u).
% 300.07/300.45 39066[5:MRR:38935.2,22621.0] || equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 39025[5:Rew:22628.0,38914.1] || equal(u,v) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 221[0:Inp] || hBOOL(hAPP(c_Set_Ovimage(u,v,w,x),y))* -> hBOOL(hAPP(v,hAPP(u,y))).
% 300.07/300.45 39073[5:MRR:39072.2,39066.1] || equal(u,v)* -> equal(v,u).
% 300.07/300.45 222[0:Inp] || hBOOL(hAPP(u,hAPP(v,w))) -> hBOOL(hAPP(c_Set_Ovimage(v,u,x,y),w))*.
% 300.07/300.45 38565[5:MRR:38564.0,25737.1] || equal(c_Suc(u),v)* equal(v,u) -> .
% 300.07/300.45 142[0:Inp] || c_in(u,v,w) c_in(u,c_HOL_Ominus__class_Ominus(x,v,tc_fun(w,tc_bool)),w)* -> .
% 300.07/300.45 29251[5:Res:25637.1,25740.1] || equal(c_Suc(c_Suc(u)),v)*+ equal(c_Suc(v),u)* -> .
% 300.07/300.45 29210[5:SpL:382.0,25745.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)))* -> .
% 300.07/300.45 29204[0:SpL:382.0,3395.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 29123[0:SpR:382.0,2504.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)),tc_nat)*.
% 300.07/300.45 528[0:Inp] || hBOOL(hAPP(c_Set_Oinsert(u,v,w),x))* -> hBOOL(hAPP(v,x)) equal(u,x).
% 300.07/300.45 29122[0:SpR:382.0,277.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)),tc_nat)*.
% 300.07/300.45 28870[5:Res:1850.0,24119.0] || equal(c_Suc(c_Suc(u)),v) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 28733[5:SpL:383.0,25745.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)))* -> .
% 300.07/300.45 28727[0:SpL:383.0,3395.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 52[0:Inp] || c_OrderedGroup_Oab__semigroup__mult(u,v)*+ -> equal(hAPP(hAPP(u,w),x),hAPP(hAPP(u,x),w))*.
% 300.07/300.45 28646[0:SpR:383.0,2504.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.07/300.45 28645[0:SpR:383.0,277.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.07/300.45 25808[5:Res:24120.1,6385.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),v)** -> .
% 300.07/300.45 522[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_lessequals(c_Finite__Set_Ocard(u,v),c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),tc_nat)*.
% 300.07/300.45 25806[5:Res:24120.1,3414.1] || equal(c_Suc(c_Suc(u)),v) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 27[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(u),u,v),w,v,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 48[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || equal(c_HOL_Oplus__class_Oplus(v,v,u),c_HOL_Ozero__class_Ozero(u))** -> equal(v,c_HOL_Ozero__class_Ozero(u)).
% 300.07/300.45 36826[0:SSi:36651.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(c_Suc(u),tc_nat),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)))**.
% 300.07/300.45 104[0:Inp] class_Ring__and__Field_Osemiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(u),c_Nat_Osemiring__1__class_Oof__nat(v,u),u),c_Nat_Osemiring__1__class_Oof__nat(c_Suc(v),u))**.
% 300.07/300.45 25780[5:Res:24120.1,3433.0] || equal(c_Suc(c_Suc(c_Suc(u))),v)*+ -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 25779[5:Res:24120.1,3568.0] || equal(c_Suc(c_Suc(c_Suc(u))),v)*+ -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 25765[5:Res:24120.1,330.0] || equal(c_Suc(c_Suc(u)),c_Suc(v)) -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 25764[5:Res:24120.1,3226.0] || equal(c_Suc(c_Suc(u)),c_Suc(v)) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 312[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ c_HOL_Oord__class_Oless(v,w,tc_nat)* -> c_HOL_Oord__class_Oless(c_Suc(u),w,tc_nat)*.
% 300.07/300.45 25761[5:Res:24120.1,1615.0] || equal(c_Suc(c_Suc(u)),v) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 25755[5:Res:24120.1,6358.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),w)** -> .
% 300.07/300.45 25748[5:Res:24120.1,327.1] || equal(c_Suc(u),c_Suc(v)) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 355[0:Inp] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)* -> c_lessequals(v,w,tc_nat).
% 300.07/300.45 25636[5:SpL:632.1,24118.0] || c_lessequals(u,v,tc_nat)* equal(c_Suc(c_Suc(v)),u) -> .
% 300.07/300.45 214[0:Inp] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(v,w,tc_nat).
% 300.07/300.45 34600[0:Rew:37.0,34500.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 654[0:MRR:284.1,366.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(u,c_HOL_Ominus__class_Ominus(w,v,tc_nat),tc_nat).
% 300.07/300.45 285[0:Inp] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat).
% 300.07/300.45 206[0:Inp] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(w,v,tc_nat),tc_nat).
% 300.07/300.45 286[0:Inp] || c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.45 205[0:Inp] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.45 22607[0:Res:273.0,705.0] || -> c_Finite__Set_Ofinite(c_Set_Oimage(u,c_Set_Ovimage(u,v_U,v,tc_Com_Opname),v,tc_Com_Opname),tc_Com_Opname)*.
% 300.07/300.45 354[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_HOL_Oplus__class_Oplus(w,u,tc_nat),c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 29393[5:Res:25750.1,25823.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),c_Suc(c_Suc(c_Suc(u))))** -> .
% 300.07/300.45 356[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_HOL_Oplus__class_Oplus(u,w,tc_nat),c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 25824[5:MRR:12841.1,25776.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 25802[5:Res:24120.1,2068.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),u)** -> .
% 300.07/300.45 25788[5:Res:24120.1,3431.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),c_HOL_Ominus__class_Ominus(u,v,tc_nat))* -> .
% 300.07/300.45 547[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(w,v,tc_nat),c_HOL_Ominus__class_Ominus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 25774[5:Res:24120.1,1984.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),v)** -> .
% 300.07/300.45 548[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,w,tc_nat),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 25707[5:SpL:323.0,24158.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(v))** -> .
% 300.07/300.45 25639[5:SpL:322.0,24118.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(u))** -> .
% 300.07/300.45 213[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,w,tc_nat),c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 215[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(w,u,tc_nat),c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 5[0:Inp] || -> equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat))*.
% 300.07/300.45 25799[5:Res:24120.1,1893.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))),u)** -> .
% 300.07/300.45 640[0:Rew:380.0,634.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat))*.
% 300.07/300.45 4[0:Inp] || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat),c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))**.
% 300.07/300.45 29121[0:SpR:382.0,556.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.07/300.45 28979[5:Res:28839.1,24119.0] || equal(c_Suc(u),v)*+ equal(c_Suc(v),u)* -> .
% 300.07/300.45 28644[0:SpR:383.0,556.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 380[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat),c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))**.
% 300.07/300.45 25762[5:Res:24120.1,1718.0] || equal(c_Suc(c_Suc(u)),v) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 29392[5:Res:25750.1,25821.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),c_Suc(c_Suc(u)))** -> .
% 300.07/300.45 25750[5:Res:24120.1,265.0] || equal(c_Suc(u),c_Suc(v)) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 25740[5:Res:24120.1,3422.0] || equal(c_Suc(u),v) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 382[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(u,w,tc_nat))**.
% 300.07/300.45 25637[5:SpL:225.0,24118.0] || equal(c_Suc(c_Suc(u)),v) -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 28839[5:Res:485.1,24119.0] || equal(c_Suc(u),v) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 24119[5:SpL:632.1,22971.0] || c_lessequals(u,v,tc_nat)* equal(c_Suc(v),u) -> .
% 300.07/300.45 383[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(v,w,tc_nat))**.
% 300.07/300.45 25823[5:MRR:12840.1,25766.0] || c_lessequals(c_Suc(c_Suc(u)),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 25776[5:Res:24120.1,3430.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(u))))** -> .
% 300.07/300.45 25711[5:SpL:322.0,24158.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),v)** -> .
% 300.07/300.45 25635[5:SpL:323.0,24118.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),u)** -> .
% 300.07/300.45 24154[5:SpL:323.0,22972.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(v))** -> .
% 300.07/300.45 24122[5:SpL:322.0,22971.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(u))** -> .
% 300.07/300.45 332[0:Inp] || c_Fun_Oinj__on(u,c_Set_Oinsert(v,w,x),x,y)* -> c_Fun_Oinj__on(u,w,x,y).
% 300.07/300.45 25771[5:Res:24120.1,1633.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),u)** -> .
% 300.07/300.45 25821[5:MRR:12839.1,25745.0] || c_lessequals(c_Suc(u),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 25766[5:Res:24120.1,3429.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(u)))** -> .
% 300.07/300.45 25770[5:Res:24120.1,1587.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),u)** -> .
% 300.07/300.45 25745[5:Res:24120.1,3395.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(u))** -> .
% 300.07/300.45 25769[5:Res:24120.1,1556.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u)** -> .
% 300.07/300.45 24120[5:SpL:225.0,22971.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 24158[5:SpL:322.0,22972.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),v)** -> .
% 300.07/300.45 25634[5:SpL:18.0,24118.0] || equal(c_Suc(c_Suc(c_Suc(u))),u)** -> .
% 300.07/300.45 24118[5:SpL:323.0,22971.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),u)** -> .
% 300.07/300.45 22972[5:MRR:22925.1,22622.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v)** -> .
% 300.07/300.45 24117[5:SpL:18.0,22971.0] || equal(c_Suc(c_Suc(u)),u)** -> .
% 300.07/300.45 22971[5:MRR:22869.1,22622.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),u)** -> .
% 300.07/300.45 273[0:Inp] || -> c_lessequals(c_Set_Oimage(u,c_Set_Ovimage(u,v,w,x),w,x),v,tc_fun(x,tc_bool))*.
% 300.07/300.45 85[0:Inp] class_Orderings_Olinorder(u) || -> equal(v,w) c_HOL_Oord__class_Oless(w,v,u)* c_HOL_Oord__class_Oless(v,w,u)*.
% 300.07/300.45 78[0:Inp] class_Ring__and__Field_Oordered__idom(u) || -> equal(v,w) c_HOL_Oord__class_Oless(v,w,u)* c_HOL_Oord__class_Oless(w,v,u)*.
% 300.07/300.45 143[0:Inp] || c_in(u,c_HOL_Ominus__class_Ominus(v,w,tc_fun(x,tc_bool)),x)* -> c_in(u,v,x).
% 300.07/300.45 21950[0:Res:21935.0,544.0] || -> hBOOL(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v))*.
% 300.07/300.45 21935[0:Res:526.0,562.0] || -> c_in(u,c_Set_Oinsert(v,c_Set_Oinsert(u,w,x),x),x)*.
% 300.07/300.45 562[0:Inp] || c_lessequals(c_Set_Oinsert(u,v,w),x,tc_fun(w,tc_bool))* -> c_in(u,x,w).
% 300.07/300.45 65[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> c_Finite__Set_Ofinite(v,w) equal(c_Finite__Set_Osetsum(x,v,w,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 472[0:Inp] || c_Finite__Set_Ofinite(u,v) c_lessequals(w,u,tc_fun(v,tc_bool))* -> c_Finite__Set_Ofinite(w,v).
% 300.07/300.45 40[0:Inp] class_Nat_Osemiring__char__0(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_Nat_Osemiring__1__class_Oof__nat(w,u))* -> equal(v,w).
% 300.07/300.45 21544[0:Obv:21543.1] class_OrderedGroup_Oab__group__add(tc_fun(u,tc_bool)) || -> .
% 300.07/300.45 21538[0:MRR:21537.1,490.0] class_OrderedGroup_Oab__group__add(tc_nat) || -> .
% 300.07/300.45 299[0:Inp] class_OrderedGroup_Oab__group__add(u) || equal(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u))** -> equal(v,w).
% 300.07/300.45 298[0:Inp] class_OrderedGroup_Ogroup__add(u) || equal(c_HOL_Ominus__class_Ominus(v,w,u),c_HOL_Ozero__class_Ozero(u))** -> equal(v,w).
% 300.07/300.45 538[0:Inp] || c_in(u,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w),w)* -> equal(u,v).
% 300.07/300.45 460[0:Inp] || c_lessequals(u,v,tc_nat)*+ c_lessequals(v,w,tc_nat)* -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 12082[0:SpR:225.0,2081.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 7795[0:Rew:322.0,7756.0] || -> c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 7608[0:Res:4683.1,3422.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 68[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_Finite__Set_Osetsum(v,c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)),w,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 7480[0:Res:4625.1,3422.0] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 7402[0:Rew:323.0,7385.0,323.0,7385.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 271[0:Inp] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat)* -> equal(v,u).
% 300.07/300.45 7401[0:Rew:323.0,7384.0,323.0,7384.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 7398[0:Rew:323.0,7363.0] || -> c_lessequals(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 7351[0:Rew:323.0,7317.0] || -> c_lessequals(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 581[0:Inp] || c_lessequals(u,c_Suc(v),tc_nat)* -> equal(u,c_Suc(v)) c_lessequals(u,v,tc_nat).
% 300.07/300.45 7270[0:Res:1749.0,367.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 7145[0:Res:1619.0,32.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 325[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> equal(c_Suc(u),v) c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)*.
% 300.07/300.45 6971[0:Res:368.1,1567.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),w,tc_nat)* -> .
% 300.07/300.45 6746[0:Res:369.1,1567.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 6386[0:Rew:4.0,6376.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 6375[0:Res:34.1,1551.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),w,tc_nat)* -> .
% 300.07/300.45 580[0:Inp] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),u)**.
% 300.07/300.45 632[0:Rew:37.0,393.1] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),v)**.
% 300.07/300.45 257[0:Inp] class_Orderings_Olinorder(u) || -> equal(c_Finite__Set_Olinorder__class_OMax(c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),u),u),v)**.
% 300.07/300.45 5627[0:Res:3113.0,3366.0] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.45 5229[0:SpL:2633.0,1201.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> .
% 300.07/300.45 5212[0:SpL:2633.0,492.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> .
% 300.07/300.45 4978[0:SpR:2633.0,1571.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 260[0:Inp] class_Orderings_Olinorder(u) || -> equal(c_Finite__Set_Olinorder__class_OMin(c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),u),u),v)**.
% 300.07/300.45 4960[0:SpR:2633.0,1188.0] || -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 4852[0:Res:2287.1,3384.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)*+ c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 4805[0:Res:2281.0,3422.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.07/300.45 305[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)))**.
% 300.07/300.45 4762[0:Res:2235.0,3422.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.45 4730[0:Res:3219.0,1716.0] || -> c_lessequals(u,c_Suc(v),tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 4713[0:Res:1850.0,1716.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)* c_lessequals(v,c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 4712[0:Res:2935.1,1716.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 185[0:Inp] class_Orderings_Olinorder(u) || c_HOL_Oord__class_Oless(v,w,u) c_lessequals(w,v,u)* -> .
% 300.07/300.45 4676[0:Res:3113.0,1615.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 4621[0:Res:3219.0,1614.0] || -> c_lessequals(u,c_Suc(v),tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 15115[0:SSi:15096.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_HOL_Oord__class_Oless(c_Set_Oinsert(u,v,w),v,tc_fun(w,tc_bool))* -> .
% 300.07/300.45 287[0:Inp] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,w,u) c_lessequals(w,v,u)* -> .
% 300.07/300.45 4617[0:Res:1839.1,1614.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 4604[0:Res:1850.0,1614.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(u)),tc_nat).
% 300.07/300.45 4603[0:Res:2935.1,1614.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 3573[0:Res:331.1,3422.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 229[0:Inp] class_Orderings_Olinorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_HOL_Oord__class_Oless(w,v,u)* -> .
% 300.07/300.45 3437[0:Res:484.1,3384.1] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 3374[0:Res:3219.0,563.1] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.07/300.45 3372[0:Res:1839.1,563.1] || c_lessequals(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 14023[0:Res:3207.0,3362.0] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 228[0:Inp] class_Orderings_Oorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_HOL_Oord__class_Oless(w,v,u)* -> .
% 300.07/300.45 3362[0:Res:494.1,563.1] || c_lessequals(c_Suc(u),v,tc_nat)*+ c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 3359[0:Res:1850.0,563.1] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 3358[0:Res:2935.1,563.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 231[0:Inp] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,w,u)*+ c_HOL_Oord__class_Oless(w,v,u)* -> .
% 300.07/300.45 112[0:Inp] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,v,tc_nat))* -> equal(u,w).
% 300.07/300.45 113[0:Inp] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(u,w,tc_nat))* -> equal(v,w).
% 300.07/300.45 4293[0:SpR:519.0,2696.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat)*.
% 300.07/300.45 342[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_fun(w,tc_bool)) -> c_lessequals(u,v,tc_fun(w,tc_bool))*.
% 300.07/300.45 12730[0:SpR:37.0,12106.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.07/300.45 514[0:Inp] || c_lessequals(u,v,tc_nat)*+ c_lessequals(v,u,tc_nat)* -> equal(u,v).
% 300.07/300.45 12106[0:SpR:225.0,7260.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 12156[0:SpL:225.0,1689.0] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 12093[0:SpR:225.0,2605.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(v),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 12092[0:SpR:225.0,2604.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 319[0:Inp] || c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 12081[0:SpR:225.0,1831.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 12080[0:SpR:225.0,1803.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 12095[0:SpR:225.0,2603.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(v),c_Suc(u),tc_nat)*.
% 300.07/300.45 12079[0:SpR:225.0,1759.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 225[0:Inp] || -> equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),v)** c_HOL_Oord__class_Oless(v,u,tc_nat).
% 300.07/300.45 3900[0:Res:2586.0,3422.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(u)))),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 3896[0:SpR:519.0,2586.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat)*.
% 300.07/300.45 3734[0:Rew:322.0,3718.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3731[0:Rew:322.0,3707.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),tc_nat)*.
% 300.07/300.45 291[0:Inp] class_Int_Onumber__ring(u) class_Ring__and__Field_Oidom(u) || -> equal(c_HOL_Ominus__class_Ominus(v,v,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 3730[0:Rew:322.0,3706.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),u,tc_nat)* -> .
% 300.07/300.45 3629[0:Rew:323.0,3613.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3626[0:Rew:323.0,3602.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3625[0:Rew:323.0,3601.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),v,tc_nat)* -> .
% 300.07/300.45 130[0:Inp] class_Int_Onumber__ring(u) class_Ring__and__Field_Oidom(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Ozero__class_Ozero(u),u),v)**.
% 300.07/300.45 3392[0:Rew:322.0,3355.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),u,tc_nat)* -> .
% 300.07/300.45 3391[0:Rew:323.0,3354.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),v,tc_nat)* -> .
% 300.07/300.45 2893[0:SpL:323.0,2759.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(c_Suc(v)),tc_nat)* -> .
% 300.07/300.45 2870[0:SpR:323.0,2713.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 122[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(u),c_HOL_Oone__class_Oone(u),u),u)*.
% 300.07/300.45 2849[0:SpR:323.0,2670.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 2819[0:SpL:323.0,1677.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 2818[0:SpL:323.0,1676.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 2788[0:SpR:323.0,1821.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat)*.
% 300.07/300.45 304[0:Inp] || -> equal(c_Set_Ovimage(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),w,v),c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)))**.
% 300.07/300.45 2787[0:SpR:323.0,1812.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat)*.
% 300.07/300.45 2765[0:SpL:322.0,2630.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(c_Suc(u)),tc_nat)* -> .
% 300.07/300.45 2744[0:SpR:322.0,2605.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 576[0:Inp] || -> equal(c_Set_Oimage(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v,w),c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)))**.
% 300.07/300.45 2719[0:SpR:322.0,2604.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 2628[0:SpL:322.0,1690.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 2627[0:SpL:322.0,1689.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 2609[0:SpR:322.0,1831.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat)*.
% 300.07/300.45 2608[0:SpR:322.0,1803.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat)*.
% 300.07/300.45 573[0:Inp] || c_lessequals(u,v,tc_fun(t_a,tc_bool)) -> hBOOL(hAPP(hAPP(v_P,v),u))*.
% 300.07/300.45 474[0:Inp] || c_in(u,v,w) -> c_in(u,c_Set_Oinsert(x,v,w),w)*.
% 300.07/300.45 529[0:Inp] || -> equal(c_Set_Oinsert(u,c_Set_Oinsert(u,v,w),w),c_Set_Oinsert(u,v,w))**.
% 300.07/300.45 3096[0:Res:1839.1,1882.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))))),tc_nat)*.
% 300.07/300.45 3088[0:Res:494.1,1882.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))),u,tc_nat)* -> .
% 300.07/300.45 177[0:Inp] class_Orderings_Oorder(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_lessequals(v,w,u)*.
% 300.07/300.45 3085[0:Res:1850.0,1882.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))))),tc_nat)*.
% 300.07/300.45 3084[0:Res:2935.1,1882.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))),u,tc_nat)* -> .
% 300.07/300.45 9817[0:SSi:9805.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_HOL_Oord__class_Oless(u,v_U,tc_fun(tc_Com_Opname,tc_bool))* -> c_Finite__Set_Ofinite(u,tc_Com_Opname).
% 300.07/300.45 176[0:Inp] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,w,u) -> c_lessequals(v,w,u)*.
% 300.07/300.45 704[0:Res:620.0,302.1] || c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)* -> c_Finite__Set_Ofinite(u,tc_Com_Opname).
% 300.07/300.45 36[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(w,v,u))*.
% 300.07/300.45 2171[0:SpR:95.0,735.0] || -> c_in(u,c_Set_Oimage(c_COMBK(u,v,w),v_U,tc_Com_Opname,x),x)*.
% 300.07/300.45 39[0:Inp] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(v,w,u),c_HOL_Oplus__class_Oplus(w,v,u))*.
% 300.07/300.45 7575[0:Res:1638.0,366.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(w,u,tc_nat).
% 300.07/300.45 7545[0:Res:485.1,366.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(w,u,tc_nat).
% 300.07/300.45 8933[0:Obv:8892.0] class_OrderedGroup_Ogroup__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(u),v,u),v)**.
% 300.07/300.45 8929[0:MRR:8794.1,8915.1] class_OrderedGroup_Ogroup__add(tc_nat) || -> .
% 300.07/300.45 296[0:Inp] class_OrderedGroup_Ogroup__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(v,w,u),w,u),v)**.
% 300.07/300.45 7285[0:Res:1638.0,367.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 8577[0:Obv:8553.0] class_OrderedGroup_Ogroup__add(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Ozero__class_Ozero(u),u),v)**.
% 300.07/300.45 300[0:Inp] class_OrderedGroup_Ogroup__add(u) || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,w,u),w,u),v)**.
% 300.07/300.45 7257[0:Res:485.1,367.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 2173[0:SpR:95.0,2172.0] || -> hBOOL(hAPP(c_Set_Oimage(c_COMBK(u,v,w),v_U,tc_Com_Opname,x),u))*.
% 300.07/300.45 7729[0:Res:4955.0,327.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> .
% 300.07/300.45 7397[0:Rew:323.0,7387.0,323.0,7387.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 565[0:Inp] || hBOOL(hAPP(u,v)) -> hBOOL(hAPP(c_Set_Oinsert(w,u,x),v))*.
% 300.07/300.45 7392[0:Rew:323.0,7364.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 7279[0:Res:1698.0,367.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 7125[0:Res:25.0,32.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 6385[0:Rew:4.0,6359.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.07/300.45 303[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(u,w,tc_fun(v,tc_bool)),v)*.
% 300.07/300.45 6358[0:Res:34.1,204.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),w,tc_nat)* -> .
% 300.07/300.45 5634[0:Res:331.1,3366.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 5211[0:SpL:2633.0,490.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Oplus__class_Oplus(v,u,tc_nat))** -> .
% 300.07/300.45 4956[0:SpR:2633.0,1170.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 352[0:Inp] || c_lessequals(u,v,tc_nat)* -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 7730[0:Res:4955.0,265.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 4955[0:SpR:2633.0,314.0] || -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 4734[0:Res:484.1,1716.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 4683[0:Res:331.1,1615.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 366[0:Inp] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(v,w,tc_nat).
% 300.07/300.45 4625[0:Res:484.1,1614.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 7310[0:SpR:37.0,7260.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 7260[0:Res:360.0,367.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 367[0:Inp] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(u,w,tc_nat).
% 300.07/300.45 32[0:Inp] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(u,w,tc_nat).
% 300.07/300.45 368[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 369[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 33[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 34[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 374[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.07/300.45 3568[0:Res:3113.0,3422.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 3433[0:Res:3219.0,3384.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 3414[0:Res:2935.1,3384.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 14[0:Inp] class_OrderedGroup_Olordered__ab__group__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(u),c_HOL_Ozero__class_Ozero(u),u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 3366[0:Res:358.1,563.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* c_lessequals(v,u,tc_nat) -> .
% 300.07/300.45 3226[0:Res:358.1,483.0] || c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 2804[0:SpR:323.0,385.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),u,tc_nat),c_Suc(v))**.
% 300.07/300.45 5500[0:MRR:5497.1,1331.0] || -> c_Finite__Set_Ofinite(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),v)*.
% 300.07/300.45 2611[0:SpR:322.0,384.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v,tc_nat),c_Suc(u))**.
% 300.07/300.45 2633[0:Rew:323.0,2601.0] || -> equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))*.
% 300.07/300.45 2329[0:Res:1850.0,270.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.07/300.45 2328[0:Res:1850.0,495.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 2287[0:Res:310.1,1718.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 2281[0:Res:1612.1,1718.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 2235[0:Res:1612.0,311.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.07/300.45 1716[0:Res:494.1,495.0] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.07/300.45 509[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Set_Oimage(w,u,v,x),x)*.
% 300.07/300.45 1615[0:Res:310.1,311.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.45 1614[0:Res:266.1,311.0] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.45 3431[0:Res:2567.0,3384.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 2816[0:SpL:323.0,1567.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 574[0:Inp] || c_in(u,v,w) -> equal(c_Set_Oinsert(u,v,w),v)**.
% 300.07/300.45 2814[0:SpL:323.0,1551.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 2789[0:SpR:323.0,2641.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 4352[0:Fac:486.1,486.2] class_Orderings_Olinorder(u) || -> c_lessequals(v,v,u)*.
% 300.07/300.45 486[0:Inp] class_Orderings_Olinorder(u) || -> c_lessequals(v,w,u)* c_lessequals(w,v,u)*.
% 300.07/300.45 2786[0:SpR:323.0,1749.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 2785[0:SpR:323.0,1619.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 2696[0:SpR:519.0,2567.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 186[0:Inp] class_Orderings_Olinorder(u) || -> c_lessequals(v,w,u)* c_HOL_Oord__class_Oless(w,v,u).
% 300.07/300.45 82[0:Inp] || -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.07/300.45 2647[0:SpR:322.0,2603.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat)*.
% 300.07/300.45 2624[0:SpL:322.0,1568.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 195[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_HOL_Oone__class_Oone(u),u),u)*.
% 300.07/300.45 2622[0:SpL:322.0,1552.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 2607[0:SpR:322.0,1759.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 2606[0:SpR:322.0,1618.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 344[0:Inp] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_fun(w,tc_bool)),u,tc_fun(w,tc_bool))*.
% 300.07/300.45 2586[0:SpR:519.0,2547.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 2169[0:Rew:322.0,2164.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat)*.
% 300.07/300.45 2153[0:Rew:323.0,2151.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat)*.
% 300.07/300.45 121[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(v,u),c_HOL_Ozero__class_Ozero(u),u)* -> .
% 300.07/300.45 2092[0:Rew:323.0,2091.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat)*.
% 300.07/300.45 2081[0:Rew:322.0,2078.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat)*.
% 300.07/300.45 2068[0:Rew:322.0,2062.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),u,tc_nat)* -> .
% 300.07/300.45 2049[0:Rew:322.0,2038.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),u,tc_nat)* -> .
% 300.07/300.45 1984[0:Rew:323.0,1980.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),v,tc_nat)* -> .
% 300.07/300.45 1968[0:Rew:323.0,1959.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),v,tc_nat)* -> .
% 300.07/300.45 3422[0:Res:358.1,3384.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)*+ c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 327[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat)* -> .
% 300.07/300.45 3430[0:Res:2528.0,3384.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 3429[0:Res:2504.0,3384.1] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 3395[0:Res:556.0,3384.1] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 3384[0:Res:269.1,563.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,u,tc_nat)* -> .
% 300.07/300.45 563[0:Inp] || c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 3229[0:Res:1839.1,483.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 3225[0:Res:1638.0,483.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 3219[0:Res:1850.0,483.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 3207[0:Res:485.1,483.0] || -> c_lessequals(c_Suc(u),c_Suc(v),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 483[0:Inp] || c_lessequals(c_Suc(u),c_Suc(v),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 1936[0:Res:1778.0,495.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))),tc_nat)*.
% 300.07/300.45 1896[0:Res:1635.0,311.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))),tc_nat)*.
% 300.07/300.45 3113[0:Res:1612.1,330.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat).
% 300.07/300.45 330[0:Inp] || c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 1893[0:Res:310.1,1633.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),u,tc_nat)* -> .
% 300.07/300.45 1882[0:Res:494.1,1623.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),u,tc_nat)* -> .
% 300.07/300.45 484[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_Suc(u),c_Suc(v),tc_nat)*.
% 300.07/300.45 2935[0:Res:331.1,1718.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 331[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v),tc_nat)*.
% 300.07/300.45 733[0:Res:624.0,464.0] || c_lessequals(v_U,u,tc_fun(tc_Com_Opname,tc_bool))* -> c_in(v_pn,u,tc_Com_Opname).
% 300.07/300.45 732[0:Res:624.0,144.0] || c_HOL_Oord__class_Oless(v_U,u,tc_fun(tc_Com_Opname,tc_bool))* -> c_in(v_pn,u,tc_Com_Opname).
% 300.07/300.45 307[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(u,u,tc_fun(v,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)))**.
% 300.07/300.45 2759[0:SpL:37.0,2630.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 2713[0:SpR:37.0,2604.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 2670[0:SpR:322.0,2641.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 323[0:Inp] || -> equal(c_HOL_Oplus__class_Oplus(u,c_Suc(v),tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))**.
% 300.07/300.45 2630[0:SpL:322.0,203.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 2605[0:SpR:322.0,1724.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat)*.
% 300.07/300.45 2604[0:SpR:322.0,26.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat)*.
% 300.07/300.45 308[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_fun(v,tc_bool)),u)**.
% 300.07/300.45 2567[0:SpR:519.0,2528.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 2641[0:SpR:37.0,2603.0] || -> c_lessequals(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 2603[0:SpR:322.0,361.0] || -> c_lessequals(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 322[0:Inp] || -> equal(c_HOL_Oplus__class_Oplus(c_Suc(u),v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))**.
% 300.07/300.45 2547[0:SpR:519.0,2505.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 2528[0:SpR:519.0,2504.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 2505[0:SpR:519.0,277.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 2504[0:SpR:519.0,556.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 519[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),c_Suc(v),tc_nat),c_HOL_Ominus__class_Ominus(u,v,tc_nat))**.
% 300.07/300.45 982[0:Res:624.0,751.0] || c_lessequals(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),v_G,tc_fun(t_a,tc_bool))* -> .
% 300.07/300.45 525[0:Inp] || c_Finite__Set_Ofinite(c_Set_Oinsert(u,v,w),w)* -> c_Finite__Set_Ofinite(v,w).
% 300.07/300.45 524[0:Inp] || c_Finite__Set_Ofinite(u,v) -> c_Finite__Set_Ofinite(c_Set_Oinsert(w,u,v),v)*.
% 300.07/300.45 295[0:Inp] class_OrderedGroup_Oab__group__add(u) || -> equal(c_HOL_Ominus__class_Ominus(v,v,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 294[0:Inp] class_OrderedGroup_Ogroup__add(u) || -> equal(c_HOL_Ominus__class_Ominus(v,v,u),c_HOL_Ozero__class_Ozero(u))**.
% 300.07/300.45 131[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Ozero__class_Ozero(u),u),v)**.
% 300.07/300.45 134[0:Inp] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Ozero__class_Ozero(u),u),v)**.
% 300.07/300.45 293[0:Inp] class_OrderedGroup_Ogroup__add(u) || -> equal(c_HOL_Ominus__class_Ominus(v,c_HOL_Ozero__class_Ozero(u),u),v)**.
% 300.07/300.45 1850[0:Res:1709.0,495.0] || -> c_lessequals(u,c_Suc(v),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat)*.
% 300.07/300.45 1839[0:Res:1639.0,495.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_Suc(u),tc_nat)*.
% 300.07/300.45 1718[0:Res:358.1,495.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 1612[0:Res:328.1,311.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat)*.
% 300.07/300.45 133[0:Inp] class_OrderedGroup_Omonoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Ozero__class_Ozero(u),u),v)**.
% 300.07/300.45 2172[0:Res:735.0,544.0] || -> hBOOL(hAPP(c_Set_Oimage(u,v_U,tc_Com_Opname,v),hAPP(u,v_pn)))*.
% 300.07/300.45 735[0:Res:624.0,585.0] || -> c_in(hAPP(u,v_pn),c_Set_Oimage(u,v_U,tc_Com_Opname,v),v)*.
% 300.07/300.45 1831[0:Rew:322.0,1829.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 1821[0:Rew:323.0,1819.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 126[0:Inp] class_OrderedGroup_Ocomm__monoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(u),v,u),v)**.
% 300.07/300.45 1812[0:Rew:323.0,1811.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 1803[0:Rew:322.0,1802.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 1690[0:Rew:322.0,1687.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),u,tc_nat)* -> .
% 300.07/300.45 1689[0:Rew:322.0,1686.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),u,tc_nat)* -> .
% 300.07/300.45 135[0:Inp] class_Ring__and__Field_Ocomm__semiring__1(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(u),v,u),v)**.
% 300.07/300.45 1677[0:Rew:323.0,1674.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),v,tc_nat)* -> .
% 300.07/300.45 1676[0:Rew:323.0,1673.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),v,tc_nat)* -> .
% 300.07/300.45 1778[0:Res:1715.0,495.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),tc_nat)*.
% 300.07/300.45 132[0:Inp] class_OrderedGroup_Omonoid__add(u) || -> equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(u),v,u),v)**.
% 300.07/300.45 1635[0:Res:1617.0,311.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),tc_nat)*.
% 300.07/300.45 1633[0:Res:310.1,1587.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),u,tc_nat)* -> .
% 300.07/300.45 1623[0:Res:494.1,1586.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),u,tc_nat)* -> .
% 300.07/300.45 1717[0:Res:1638.0,495.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 124[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || -> c_lessequals(c_HOL_Ozero__class_Ozero(u),c_Nat_Osemiring__1__class_Oof__nat(v,u),u)*.
% 300.07/300.45 1709[0:Res:485.1,495.0] || -> c_lessequals(u,c_Suc(v),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 1639[0:Res:485.1,270.0] || -> c_lessequals(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat).
% 300.07/300.45 1759[0:Rew:322.0,1757.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat)*.
% 300.07/300.45 1749[0:Rew:323.0,1747.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 530[0:Inp] || equal(c_Set_Oinsert(u,v,w),c_Orderings_Obot__class_Obot(tc_fun(w,tc_bool)))* -> .
% 300.07/300.45 1619[0:Rew:323.0,1613.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.07/300.45 1618[0:Rew:322.0,1609.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat)*.
% 300.07/300.45 1568[0:Rew:322.0,1561.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),u,tc_nat)* -> .
% 300.07/300.45 1715[0:Res:1622.0,495.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat)*.
% 300.07/300.45 265[0:Inp] || c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 1724[0:Rew:322.0,1710.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 1698[0:Res:485.1,1567.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 495[0:Inp] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 1567[0:Rew:323.0,1560.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 1552[0:Rew:322.0,1546.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),u,tc_nat)* -> .
% 300.07/300.45 1551[0:Rew:323.0,1545.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 1638[0:Res:564.1,270.0] || -> c_lessequals(u,v,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat).
% 300.07/300.45 270[0:Inp] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 1617[0:Res:1585.0,311.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat)*.
% 300.07/300.45 1587[0:Res:310.1,1556.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat)* -> .
% 300.07/300.45 1622[0:Res:485.1,1586.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 1586[0:Res:266.1,1556.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat)* -> .
% 300.07/300.45 311[0:Inp] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 1585[0:Res:328.1,1556.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 1593[0:Res:485.1,1563.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 1563[0:Res:266.1,1547.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),u,tc_nat)* -> .
% 300.07/300.45 494[0:Inp] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 1556[0:Res:310.1,1547.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),u,tc_nat)* -> .
% 300.07/300.45 1571[0:Res:485.1,1562.0] || -> c_lessequals(u,c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 1562[0:Res:266.1,1201.0] || c_lessequals(c_Suc(c_Suc(u)),u,tc_nat)* -> .
% 300.07/300.45 266[0:Inp] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 1555[0:Res:328.1,1547.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 1547[0:Res:310.1,1201.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),u,tc_nat)* -> .
% 300.07/300.45 310[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 269[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(c_Suc(u),v,tc_nat)*.
% 300.07/300.45 588[0:Inp] class_Finite__Set_Ofinite_Ofinite(u) class_Finite__Set_Ofinite_Ofinite(v) || -> class_Finite__Set_Ofinite_Ofinite(tc_fun(u,v))*.
% 300.07/300.45 77[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_lessequals(c_HOL_Oone__class_Oone(u),c_HOL_Ozero__class_Ozero(u),u)* -> .
% 300.07/300.45 60[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(u),c_HOL_Ozero__class_Ozero(u),u)* -> .
% 300.07/300.45 306[0:Inp] || c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_fun(v,tc_bool))* -> .
% 300.07/300.45 705[0:Res:620.0,472.1] || c_lessequals(u,v_U,tc_fun(tc_Com_Opname,tc_bool))* -> c_Finite__Set_Ofinite(u,tc_Com_Opname).
% 300.07/300.45 404[0:Inp] || c_in(u,v_U,tc_Com_Opname) -> v_wt(c_Option_Othe(c_Com_Obody(u),tc_Com_Ocom))*.
% 300.07/300.45 1311[0:Res:543.1,734.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),v_pn))* -> .
% 300.07/300.45 734[0:Res:624.0,142.0] || c_in(v_pn,c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)* -> .
% 300.07/300.45 1307[0:Res:736.0,544.0] || -> hBOOL(hAPP(c_Set_Oinsert(u,v_U,tc_Com_Opname),v_pn))*.
% 300.07/300.45 544[0:Inp] || c_in(u,v,w)* -> hBOOL(hAPP(v,u)).
% 300.07/300.45 543[0:Inp] || hBOOL(hAPP(u,v)) -> c_in(v,u,w)*.
% 300.07/300.45 526[0:Inp] || -> c_lessequals(u,c_Set_Oinsert(v,u,w),tc_fun(w,tc_bool))*.
% 300.07/300.45 521[0:Inp] || equal(c_Suc(u),c_Suc(v))* -> equal(u,v).
% 300.07/300.45 358[0:Inp] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 328[0:Inp] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat)*.
% 300.07/300.45 564[0:Inp] || -> c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(v),u,tc_nat)*.
% 300.07/300.45 37[0:Inp] || -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(v,u,tc_nat))*.
% 300.07/300.45 384[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v,tc_nat),u)**.
% 300.07/300.45 385[0:Inp] || -> equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat),v)**.
% 300.07/300.45 66[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || -> c_lessequals(c_HOL_Ozero__class_Ozero(u),c_HOL_Oone__class_Oone(u),u)*.
% 300.07/300.45 194[0:Inp] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),c_HOL_Oone__class_Oone(u),u)*.
% 300.07/300.45 532[0:Inp] || -> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_fun(u,tc_bool))*.
% 300.07/300.45 101[0:Inp] class_Ring__and__Field_Ozero__neq__one(u) || equal(c_HOL_Ozero__class_Ozero(u),c_HOL_Oone__class_Oone(u))** -> .
% 300.07/300.45 1117[2:MRR:672.1,1113.0] class_Orderings_Olinorder(tc_Com_Opname) || -> c_in(c_Finite__Set_Olinorder__class_OMax(v_U,tc_Com_Opname),v_U,tc_Com_Opname)*.
% 300.07/300.45 1116[2:MRR:673.1,1113.0] class_Orderings_Olinorder(tc_Com_Opname) || -> c_in(c_Finite__Set_Olinorder__class_OMin(v_U,tc_Com_Opname),v_U,tc_Com_Opname)*.
% 300.07/300.45 939[0:MRR:742.1,620.0] class_Orderings_Olinorder(tc_Com_Opname) || -> c_lessequals(v_pn,c_Finite__Set_Olinorder__class_OMax(v_U,tc_Com_Opname),tc_Com_Opname)*.
% 300.07/300.45 938[0:MRR:741.1,620.0] class_Orderings_Olinorder(tc_Com_Opname) || -> c_lessequals(c_Finite__Set_Olinorder__class_OMin(v_U,tc_Com_Opname),v_pn,tc_Com_Opname)*.
% 300.07/300.45 95[0:Inp] || -> equal(hAPP(c_COMBK(u,v,w),x),u)**.
% 300.07/300.45 619[0:Inp] || c_fequal(u,v,w)* -> equal(u,v).
% 300.07/300.45 309[0:Inp] || -> c_Fun_Oinj__on(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v,w)*.
% 300.07/300.45 74[0:Inp] class_Orderings_Olinorder(u) || c_HOL_Oord__class_Oless(v,v,u)* -> .
% 300.07/300.45 73[0:Inp] class_Orderings_Oorder(u) || c_HOL_Oord__class_Oless(v,v,u)* -> .
% 300.07/300.45 75[0:Inp] class_Orderings_Opreorder(u) || c_HOL_Oord__class_Oless(v,v,u)* -> .
% 300.07/300.45 485[0:Inp] || -> c_lessequals(u,v,tc_nat)* c_lessequals(v,u,tc_nat)*.
% 300.07/300.45 531[0:Inp] class_Orderings_Obot(u) || -> c_lessequals(c_Orderings_Obot__class_Obot(u),v,u)*.
% 300.07/300.45 500[0:Inp] || c_in(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v)* -> .
% 300.07/300.45 1201[0:SpL:19.0,204.0] || c_HOL_Oord__class_Oless(c_Suc(u),u,tc_nat)* -> .
% 300.07/300.45 203[0:Inp] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 204[0:Inp] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v,tc_nat)* -> .
% 300.07/300.45 25[0:Inp] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 1188[0:SpR:278.0,277.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 26[0:Inp] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 277[0:Inp] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 1170[0:SpR:19.0,360.0] || -> c_lessequals(u,c_Suc(u),tc_nat)*.
% 300.07/300.45 687[0:Res:620.0,303.0] || -> c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(v_U,u,tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)*.
% 300.07/300.45 541[0:Inp] || -> c_in(u,c_Set_Oinsert(u,v,w),w)*.
% 300.07/300.45 493[0:Inp] || -> hBOOL(hAPP(c_Set_Oinsert(u,v,w),u))*.
% 300.07/300.45 468[0:Inp] class_Orderings_Oorder(u) || -> c_lessequals(v,v,u)*.
% 300.07/300.45 469[0:Inp] class_Orderings_Opreorder(u) || -> c_lessequals(v,v,u)*.
% 300.07/300.45 688[0:Res:620.0,509.0] || -> c_Finite__Set_Ofinite(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v)*.
% 300.07/300.45 70[0:Inp] || c_HOL_Oord__class_Oless(u,u,tc_fun(v,tc_bool))* -> .
% 300.07/300.45 590[0:Inp] class_Orderings_Oorder(u) || -> class_Orderings_Oorder(tc_fun(v,u))*.
% 300.07/300.45 589[0:Inp] class_Orderings_Opreorder(u) || -> class_Orderings_Opreorder(tc_fun(v,u))*.
% 300.07/300.45 592[0:Inp] class_HOL_Oord(u) || -> class_HOL_Oord(tc_fun(v,u))*.
% 300.07/300.45 591[0:Inp] class_Orderings_Obot(u) || -> class_Orderings_Obot(tc_fun(v,u))*.
% 300.07/300.45 587[0:Inp] class_Complete__Lattice_Ocomplete__lattice(u) || -> class_Complete__Lattice_Ocomplete__lattice(tc_fun(v,u))*.
% 300.07/300.45 360[0:Inp] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 361[0:Inp] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 556[0:Inp] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u,tc_nat)*.
% 300.07/300.45 736[0:Res:624.0,474.0] || -> c_in(v_pn,c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname)*.
% 300.07/300.45 579[0:Inp] class_Finite__Set_Ofinite_Ofinite(u) || -> c_Finite__Set_Ofinite(v,u)*.
% 300.07/300.45 465[0:Inp] || -> c_lessequals(u,u,tc_fun(v,tc_bool))*.
% 300.07/300.45 492[0:Inp] || c_lessequals(c_Suc(u),u,tc_nat)* -> .
% 300.07/300.45 523[0:Inp] || -> c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),u)*.
% 300.07/300.45 689[0:Res:620.0,524.0] || -> c_Finite__Set_Ofinite(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname)*.
% 300.07/300.45 737[0:Res:624.0,574.0] || -> equal(c_Set_Oinsert(v_pn,v_U,tc_Com_Opname),v_U)**.
% 300.07/300.45 490[0:Inp] || equal(c_Suc(u),u)** -> .
% 300.07/300.45 72[0:Inp] || c_HOL_Oord__class_Oless(u,u,tc_nat)* -> .
% 300.07/300.45 314[0:Inp] || -> c_HOL_Oord__class_Oless(u,c_Suc(u),tc_nat)*.
% 300.07/300.45 739[0:Res:624.0,404.0] || -> v_wt(c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom))*.
% 300.07/300.45 618[0:Inp] || -> c_fequal(u,u,v)*.
% 300.07/300.45 461[0:Inp] || -> c_lessequals(u,u,tc_nat)*.
% 300.07/300.45 624[0:Inp] || -> c_in(v_pn,v_U,tc_Com_Opname)*.
% 300.07/300.45 936[0:MRR:812.0,620.0] || -> c_Finite__Set_Ofinite(v_G,t_a)*.
% 300.07/300.45 620[0:Inp] || -> c_Finite__Set_Ofinite(v_U,tc_Com_Opname)*.
% 300.07/300.45 608[0:Inp] || -> class_Orderings_Olinorder(tc_nat)*.
% 300.07/300.45 602[0:Inp] || -> class_OrderedGroup_Ocomm__monoid__add(tc_nat)*.
% 300.07/300.45 599[0:Inp] || -> class_Ring__and__Field_Oordered__semidom(tc_nat)*.
% 300.07/300.45 609[0:Inp] || -> class_Orderings_Oorder(tc_nat)*.
% 300.07/300.45 615[0:Inp] || -> class_Orderings_Oorder(tc_bool)*.
% 300.07/300.45 607[0:Inp] || -> class_Orderings_Opreorder(tc_nat)*.
% 300.07/300.45 614[0:Inp] || -> class_Orderings_Opreorder(tc_bool)*.
% 300.07/300.45 594[0:Inp] || -> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)*.
% 300.07/300.45 596[0:Inp] || -> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)*.
% 300.07/300.45 600[0:Inp] || -> class_Ring__and__Field_Ocomm__semiring__1(tc_nat)*.
% 300.07/300.45 611[0:Inp] || -> class_HOL_Oord(tc_nat)*.
% 300.07/300.45 617[0:Inp] || -> class_HOL_Oord(tc_bool)*.
% 300.07/300.45 593[0:Inp] || -> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)*.
% 300.07/300.45 604[0:Inp] || -> class_Ring__and__Field_Osemiring__1(tc_nat)*.
% 300.07/300.45 610[0:Inp] || -> class_Orderings_Obot(tc_nat)*.
% 300.07/300.45 613[0:Inp] || -> class_Finite__Set_Ofinite_Ofinite(tc_bool)*.
% 300.07/300.45 616[0:Inp] || -> class_Orderings_Obot(tc_bool)*.
% 300.07/300.45 595[0:Inp] || -> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)*.
% 300.07/300.45 612[0:Inp] || -> class_Complete__Lattice_Ocomplete__lattice(tc_bool)*.
% 300.07/300.45 598[0:Inp] || -> class_OrderedGroup_Ocancel__semigroup__add(tc_nat)*.
% 300.07/300.45 605[0:Inp] || -> class_OrderedGroup_Omonoid__add(tc_nat)*.
% 300.07/300.45 597[0:Inp] || -> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)*.
% 300.07/300.45 601[0:Inp] || -> class_OrderedGroup_Oab__semigroup__add(tc_nat)*.
% 300.07/300.45 603[0:Inp] || -> class_Ring__and__Field_Ozero__neq__one(tc_nat)*.
% 300.07/300.45 606[0:Inp] || -> class_Nat_Osemiring__char__0(tc_nat)*.200779[7:Res:79601.1,63285.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 200780[7:Res:77305.1,63285.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 200781[7:Res:77292.1,63285.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 200874[17:SpR:225.0,200064.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u,tc_nat)*.
% 300.07/300.45 201030[17:SpL:225.0,200924.0] || equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 202506[17:Res:200068.0,31646.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 202545[17:Res:200068.1,6133.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 202547[17:Res:200068.1,32.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 202640[17:Res:200069.1,6133.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 202642[17:Res:200069.1,32.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 202725[17:Res:200070.1,6133.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 202727[17:Res:200070.1,32.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 202941[17:Res:200985.1,31646.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 203072[18:Rew:203026.0,77316.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> equal(c_Suc(u),v_G).
% 300.07/300.45 203108[18:Rew:203026.0,123745.0] || equal(c_Suc(c_Suc(c_Suc(tc_fun(u,tc_bool)))),c_Suc(c_Suc(v_G)))** -> .
% 300.07/300.45 203109[18:Rew:203026.0,77177.1] || -> equal(u,v_U) c_lessequals(c_Suc(c_Suc(v_G)),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 203119[18:Rew:203026.0,77157.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_lessequals(c_Suc(v_G),c_Suc(u),tc_nat)*.
% 300.07/300.45 203140[18:Rew:203026.0,111359.0] || equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat))),c_Suc(v_G))** -> .
% 300.07/300.45 203141[18:Rew:203026.0,77176.0] || c_lessequals(c_Suc(c_Suc(u)),c_Suc(v_G),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 203152[18:Rew:203026.0,7182.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 203163[18:Rew:203026.0,6237.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat).
% 300.07/300.45 203167[18:Rew:203026.0,7168.0] || c_lessequals(u,v_G,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 203179[18:Rew:203026.0,36325.0] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat)))* -> .
% 300.07/300.45 203185[18:Rew:203026.0,7573.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 203186[18:Rew:203026.0,7283.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 203193[18:Rew:203026.0,29101.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))),u)** -> .
% 300.07/300.45 203194[18:Rew:203026.0,31455.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))),c_Suc(u))** -> .
% 300.07/300.45 203203[18:Rew:203026.0,15962.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)),tc_nat)*.
% 300.07/300.45 203205[18:Rew:203026.0,15963.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 203212[18:Rew:203026.0,16134.0] || -> c_lessequals(u,c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_G,tc_nat)),tc_nat)*.
% 300.07/300.45 203213[18:Rew:203026.0,16135.0] || -> c_lessequals(u,c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)),tc_nat)*.
% 300.07/300.45 203215[18:Rew:203026.0,77317.0] || equal(v_G,u) c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 203248[18:Rew:203026.0,77352.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 203257[18:Rew:203026.0,189736.0] || c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat)* -> .
% 300.07/300.45 203258[18:Rew:203026.0,191467.0] || equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),c_Suc(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool))))* -> .
% 300.07/300.45 203279[18:Rew:203026.0,49228.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_nat)*.
% 300.07/300.45 203440[18:Rew:203026.0,90636.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U)),tc_nat)*.
% 300.07/300.45 203441[18:Rew:203026.0,90652.0] || equal(c_Suc(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U)),v_G)** -> .
% 300.07/300.45 203442[18:Rew:203026.0,100133.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),v_G,tc_nat)* -> .
% 300.07/300.45 203448[18:Rew:203026.0,111322.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 203449[18:Rew:203026.0,111338.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 203450[18:Rew:203026.0,111954.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.45 203451[18:Rew:203026.0,111977.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 203476[18:Rew:203026.0,77132.1] || -> equal(v_U,u) c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 203541[18:Rew:203026.0,78340.0] || equal(u,v_G) -> equal(v,v_U) c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 203546[18:Rew:203026.0,53883.0] || equal(u,v_G) -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v))**.
% 300.07/300.45 203653[18:Rew:203026.0,164152.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))),tc_nat)*.
% 300.07/300.45 203663[18:Rew:203026.0,167922.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))),u,tc_nat)* -> .
% 300.07/300.45 203668[18:Rew:203026.0,168003.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))),u,tc_nat)* -> .
% 300.07/300.45 203673[18:Rew:203026.0,170428.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 203847[18:Rew:203026.0,77852.0] || c_lessequals(u,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 203922[18:Rew:203026.0,196966.1] || equal(u,v) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)*.
% 300.07/300.45 204227[18:Rew:203026.0,196008.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.07/300.45 204231[18:Rew:203026.0,201795.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 204244[18:Rew:203026.0,43146.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* equal(c_Suc(v),u)* -> .
% 300.07/300.45 204262[18:Rew:203026.0,150491.2] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.45 204284[18:Rew:203026.0,78489.2] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v) c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.45 204285[18:Rew:203026.0,78293.2] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_lessequals(v_G,u,tc_nat)*.
% 300.07/300.45 204367[18:Rew:203026.0,100858.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 204371[18:Rew:203026.0,95957.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 204429[18:Rew:203026.0,29383.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 204588[18:Rew:203026.0,182781.0] || -> c_lessequals(c_Suc(v_G),u,tc_nat) c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 204592[18:Rew:203026.0,122205.1] || c_lessequals(u,v_U,tc_bool) c_lessequals(c_Suc(v_G),u,tc_nat)* -> .
% 300.07/300.45 204597[18:Rew:203026.0,50444.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_lessequals(c_Suc(v_G),u,tc_nat).
% 300.07/300.45 204603[18:Rew:203026.0,183004.0] || -> c_HOL_Oord__class_Oless(c_Suc(v_G),u,tc_nat) c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 204766[18:Rew:203026.0,168077.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat))),u,tc_nat)* -> .
% 300.07/300.45 204767[18:Rew:203026.0,168093.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat)))),u)** -> .
% 300.07/300.45 204769[18:Rew:203026.0,181991.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat)))),tc_nat)*.
% 300.07/300.45 204792[18:Rew:203026.0,182915.0] || equal(u,c_Suc(v_G)) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 204801[18:Rew:203026.0,196384.0] || -> c_lessequals(c_Suc(v_G),c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_nat)*.
% 300.07/300.45 204876[18:Rew:203026.0,172415.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 204884[18:Rew:203026.0,116549.0] || equal(c_Suc(u),v_G) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 204904[18:Rew:203026.0,78429.0] || equal(c_Suc(u),v_G) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 204922[18:Rew:203026.0,39312.0] || equal(c_Suc(u),v_G) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 204930[18:Rew:203026.0,174912.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 204933[18:Rew:203026.0,77129.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 205022[18:Rew:203026.0,95935.1] || c_HOL_Oord__class_Oless(tc_fun(u,tc_bool),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.45 205048[18:Rew:203026.0,77854.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v_G,v,tc_nat) c_lessequals(v,u,tc_nat)*.
% 300.07/300.45 205060[18:Rew:203026.0,62870.1] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.45 205098[18:Rew:203026.0,181512.2] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,u,tc_nat)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205106[18:Rew:203026.0,156948.2] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205108[18:Rew:203026.0,135076.2] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205124[18:Rew:203026.0,95943.1] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.07/300.45 205141[18:Rew:203026.0,78054.2] || equal(u,v_U)* -> equal(v,u)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205142[18:Rew:203026.0,77849.2] || equal(u,v)* -> equal(u,v_U)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205161[18:Rew:203026.0,6485.2] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_nat)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205201[18:Rew:203026.0,181551.1] || hBOOL(u) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 205204[18:Rew:203026.0,77274.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> equal(v_U,v).
% 300.07/300.45 205205[18:Rew:203026.0,77130.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 205208[18:Rew:203026.0,50136.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> equal(v,u).
% 300.07/300.45 205337[18:Rew:203026.0,95956.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 205414[18:Rew:203026.0,37720.0] || c_lessequals(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 205418[18:Rew:203026.0,26740.0] || c_lessequals(u,v_G,tc_nat)* equal(c_Suc(c_Suc(v)),u)* -> .
% 300.07/300.45 205455[18:Rew:203026.0,79588.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_bool)*.
% 300.07/300.45 205456[18:Rew:203026.0,78648.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 205478[18:Rew:203026.0,78578.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** equal(v_G,v) -> .
% 300.07/300.45 205482[18:Rew:203026.0,77851.0] || equal(c_Suc(u),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))* -> equal(u,v_U).
% 300.07/300.45 205486[18:Rew:203026.0,77853.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 205496[18:Rew:203026.0,77850.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 205514[18:Rew:203026.0,79301.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),v_U)**.
% 300.07/300.45 205515[18:Rew:203026.0,79300.1] || equal(c_Suc(u),v)* -> equal(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),v_U)**.
% 300.07/300.45 205902[18:Rew:203026.0,116486.1] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat).
% 300.07/300.45 205913[18:Rew:203026.0,78410.1] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.45 205915[18:Rew:203026.0,173862.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 205916[18:Rew:203026.0,77128.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 205917[18:Rew:203026.0,43975.1] || -> equal(u,v) c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 205980[18:Rew:203026.0,78714.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_U) c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 205986[18:Rew:203026.0,122640.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 206028[18:Rew:203026.0,174934.1] || hBOOL(u) equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> .
% 300.07/300.45 206037[18:Rew:203026.0,43994.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> equal(v,u).
% 300.07/300.45 206121[18:Rew:203026.0,142479.1] || -> c_lessequals(u,v,tc_nat) c_lessequals(v_G,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 206135[18:Rew:203026.0,35072.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206139[18:Rew:203026.0,48236.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),v_G)** -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 206142[18:Rew:203026.0,163810.1] || equal(u,c_Suc(v)) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_G)**.
% 300.07/300.45 206176[18:Rew:203026.0,49899.1] || equal(c_Suc(u),v)* -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.07/300.45 206177[18:Rew:203026.0,48024.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.07/300.45 206186[18:Rew:203026.0,200785.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 206195[18:Rew:203026.0,49870.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 206198[18:Rew:203026.0,48237.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 206210[18:Rew:203026.0,112081.1] || hBOOL(u) -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206445[18:Rew:203026.0,93099.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat)),tc_nat)*.
% 300.07/300.45 206446[18:Rew:203026.0,93116.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat)),v_G)** -> .
% 300.07/300.45 206473[18:Rew:203026.0,99092.1] || c_in(u,v,w)* -> c_lessequals(v_G,hAPP(v,u),tc_nat)*.
% 300.07/300.45 206501[18:Rew:203026.0,103309.0] || -> c_lessequals(v_G,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),tc_nat)*.
% 300.07/300.45 206535[18:Rew:203026.0,105344.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 206604[18:Rew:203026.0,115963.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206608[18:Rew:203026.0,116294.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206615[18:Rew:203026.0,116988.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),v_U)**.
% 300.07/300.45 206616[18:Rew:203026.0,118465.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 206617[18:Rew:203026.0,118228.1] class_Orderings_Obot(u) || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 206618[18:Rew:203026.0,117991.1] class_HOL_Oord(u) || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 206619[18:Rew:203026.0,117578.1] class_Orderings_Opreorder(u) || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 206620[18:Rew:203026.0,117340.1] class_Orderings_Oorder(u) || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat)*.
% 300.07/300.45 206639[18:Rew:203026.0,120008.1] || -> c_Finite__Set_Ofinite(v_U,u) c_lessequals(v_G,c_Set_Oimage(v,v_U,tc_Com_Opname,u),tc_nat)*.
% 300.07/300.45 206769[18:Rew:203026.0,124192.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat)),v_G,tc_nat)* -> .
% 300.07/300.45 206771[18:Rew:203026.0,124407.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),v_G,tc_nat)* -> .
% 300.07/300.45 206772[18:Rew:203026.0,124330.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),v_U)**.
% 300.07/300.45 206852[18:Rew:203026.0,144824.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),tc_nat)*.
% 300.07/300.45 206886[18:Rew:203026.0,151257.1] || -> hBOOL(hAPP(v_U,u)) c_lessequals(v_G,c_Set_Oinsert(u,v,w),tc_nat)*.
% 300.07/300.45 206895[18:Rew:203026.0,157730.1] || -> c_in(u,v_U,v) c_lessequals(v_G,c_Set_Oinsert(u,w,v),tc_nat)*.
% 300.07/300.45 206904[18:Rew:203026.0,158268.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),tc_nat)*.
% 300.07/300.45 207087[18:Rew:203026.0,168491.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),tc_nat)*.
% 300.07/300.45 207115[18:Rew:203026.0,173884.1] || hBOOL(u) equal(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),v_G)** -> .
% 300.07/300.45 207140[18:Rew:203026.0,180551.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 207144[18:Rew:203026.0,181027.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),tc_nat)*.
% 300.07/300.45 207147[18:Rew:203026.0,181446.1] || hBOOL(u) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 207416[18:Rew:203026.0,203553.1] || -> equal(u,v_G) c_HOL_Oord__class_Oless(v_G,u,tc_nat) c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 207419[18:Rew:203026.0,204289.1] || c_lessequals(v_G,u,tc_nat) -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 207420[18:Rew:203026.0,204417.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 207422[18:Rew:203026.0,204860.0] || c_HOL_Oord__class_Oless(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(v_G,u,tc_nat).
% 300.07/300.45 207423[18:Rew:203026.0,204861.1] || c_HOL_Oord__class_Oless(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 207424[18:Rew:203026.0,204868.1] || -> equal(c_Suc(u),v_G) c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 207425[18:Rew:203026.0,204907.1] || -> equal(c_Suc(u),v_G) c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 207426[18:Rew:203026.0,204918.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> equal(c_Suc(u),v_G).
% 300.07/300.45 207427[18:Rew:203026.0,204921.1] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)*.
% 300.07/300.45 207428[18:Rew:203026.0,204923.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),v_G)** -> equal(c_Suc(u),v_G).
% 300.07/300.45 207431[18:Rew:203026.0,205343.2] || hBOOL(u) c_lessequals(u,v_G,tc_nat)* -> equal(v_G,u).
% 300.07/300.45 207432[18:Rew:203026.0,205370.2] || c_lessequals(u,v_G,tc_nat)* -> equal(u,v_U) equal(v_G,u).
% 300.07/300.45 207433[18:Rew:203026.0,205412.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> c_lessequals(u,v_G,tc_nat).
% 300.07/300.45 207434[18:Rew:203026.0,205413.1] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)*.
% 300.07/300.45 207435[18:Rew:203026.0,205461.1] || equal(v_G,u) c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 207439[18:Rew:203026.0,206449.1] || -> equal(tc_fun(u,tc_bool),v_G) c_HOL_Oord__class_Oless(v_G,tc_fun(u,tc_bool),tc_nat)*.
% 300.07/300.45 207441[18:Rew:203026.0,203554.2,203026.0,203554.1] || -> equal(u,v_G) c_HOL_Oord__class_Oless(v_G,u,tc_nat)* equal(c_Suc(u),v_G).
% 300.07/300.45 217924[17:Res:199718.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 217925[17:Res:199718.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 217926[17:Res:199718.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 219776[17:Res:219746.0,31646.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 224811[18:Obv:224798.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_Suc(u),v_G).
% 300.07/300.45 224836[18:Con:224835.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_Suc(u),v_G).
% 300.07/300.45 224859[18:Con:224858.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_Suc(u),v_G).
% 300.07/300.45 225274[18:Res:225072.1,352.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)* equal(v_G,u) c_HOL_Oord__class_Oless(v_G,u,tc_nat)*.
% 300.07/300.45 225430[18:Obv:225416.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_Suc(v),v_G).
% 300.07/300.45 225458[18:Con:225457.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_Suc(v),v_G).
% 300.07/300.45 225482[18:Con:225481.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_Suc(v),v_G).
% 300.07/300.45 227928[18:Res:1555.0,203891.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))),tc_nat)*.
% 300.07/300.45 227999[18:Rew:203030.0,227954.0,380.0,227954.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat)))),tc_nat)*.
% 300.07/300.45 229521[18:SpL:204017.0,25745.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))** -> .
% 300.07/300.45 231787[18:Rew:203297.0,231777.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),v_G)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 232214[18:Res:328.1,204373.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 232230[18:Res:42466.1,204373.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 232655[18:MRR:232618.2,204.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)**.
% 300.07/300.45 233052[18:MRR:233004.2,203.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)**.
% 300.07/300.45 235705[18:Res:564.1,205155.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat)* c_lessequals(v_G,v,tc_nat).
% 300.07/300.45 238515[18:SpR:205503.0,29550.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)*.
% 300.07/300.45 239297[18:Rew:229610.1,239185.1] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* equal(v,u) -> .
% 300.07/300.45 239343[18:Res:207400.1,3384.1] || equal(u,v_G) c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 239522[18:SpR:239415.1,77126.0] || equal(u,v_G) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat),v_U)**.
% 300.07/300.45 239540[18:SpR:239415.1,203033.0] || equal(u,v_G) -> equal(c_HOL_Ominus__class_Ominus(c_Suc(v_G),u,tc_nat),v_G)**.
% 300.07/300.45 240272[18:SpR:239415.1,203094.0] || equal(u,v_G) -> c_lessequals(c_Suc(u),c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 240985[18:Rew:203266.0,239510.1,36826.0,239510.1] || equal(u,v_G) -> equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),c_Suc(v_G))**.
% 300.07/300.45 241057[18:MRR:240111.1,47976.0] || equal(u,v_G) -> c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 241095[18:MRR:240904.2,47976.0] || equal(u,v_G) c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v_G),tc_nat)* -> .
% 300.07/300.45 241138[18:MRR:239998.1,39278.0] || equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v_G)** -> equal(c_Suc(v_G),u).
% 300.07/300.45 241603[17:SSi:241593.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v_G,u,tc_bool)* -> .
% 300.07/300.45 241647[18:Rew:203297.0,241637.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),v_G)** -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.45 241824[18:Res:207399.1,223826.0] || equal(v_G,u) c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 241825[18:Res:207396.1,223826.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* -> equal(c_Suc(u),v_G).
% 300.07/300.45 241844[18:Res:203342.0,223826.0] || c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 242157[18:Res:231765.1,223826.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 242158[18:Res:231765.1,202455.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 242350[18:SpL:205636.0,25745.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(v,v_G,tc_nat))** -> .
% 300.07/300.45 242703[18:Res:241625.1,3384.1] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_G,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.45 242710[18:Res:241625.1,223826.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.45 242711[18:Res:241625.1,202455.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.45 242757[17:SpR:153907.1,199715.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 242758[17:SpR:151561.1,199715.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 242759[17:SpR:77202.1,199715.0] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 242956[18:Res:42466.1,205963.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u)** -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 243072[18:Res:242775.0,3384.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 243075[18:Res:242775.0,24119.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)),v_G)** -> .
% 300.07/300.45 243079[18:Res:242775.0,223826.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 243080[18:Res:242775.0,202455.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 243514[18:SpR:225.0,243050.0] || -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)* c_lessequals(v_G,u,tc_nat).
% 300.07/300.45 243537[18:Res:243050.0,3384.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 243540[18:Res:243050.0,24119.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)),v_G)** -> .
% 300.07/300.45 243544[18:Res:243050.0,223826.0] || c_lessequals(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 243545[18:Res:243050.0,202455.0] || c_lessequals(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 245286[18:Res:564.1,229610.0] || -> c_lessequals(u,v,tc_nat)* equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),u)**.
% 300.07/300.45 245456[18:Rew:245286.1,205612.0] || -> c_lessequals(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 245472[18:Rew:245286.1,229088.0] || equal(u,v) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 245488[18:Rew:245286.1,203693.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 245501[18:Rew:245340.1,227950.0] || -> c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 245510[18:Rew:245340.1,227944.0] || equal(u,v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 245550[18:Rew:245443.1,228338.0] || equal(u,v) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 245995[18:Rew:322.0,245962.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)),tc_nat)*.
% 300.07/300.45 246460[18:Res:219779.1,203164.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)*.
% 300.07/300.45 246463[18:Res:202509.1,203164.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)*.
% 300.07/300.45 246533[18:Res:243187.0,203164.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)),tc_nat)*.
% 300.07/300.45 246648[18:Res:246406.1,25748.1] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)*.
% 300.07/300.45 247102[18:Res:203183.1,223826.0] || hBOOL(u) c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 247429[18:Rew:207393.0,247350.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_G) c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.45 248559[18:SpL:12100.1,203182.0] || equal(c_Suc(tc_fun(u,tc_bool)),v)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 248733[18:Res:203259.1,223826.0] || hBOOL(u) c_lessequals(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 248882[18:Res:203274.0,223826.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_bool)* -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 249284[18:Res:203313.0,12115.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(tc_fun(v,tc_bool)),tc_nat)* c_HOL_Oord__class_Oless(v_G,u,tc_nat).
% 300.07/300.45 250320[18:Res:203485.0,12188.0] || -> c_HOL_Oord__class_Oless(v_G,u,tc_nat) c_lessequals(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 250329[18:Res:203062.1,12188.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,v,tc_nat) c_lessequals(v,u,tc_nat)*.
% 300.07/300.45 251437[17:SpL:153907.1,242800.0] || equal(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 251438[17:SpL:151561.1,242800.0] || equal(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 251439[17:SpL:77202.1,242800.0] || equal(u,v_U) equal(c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),u)* -> .
% 300.07/300.45 252062[18:Res:250314.1,124071.0] || -> c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 252118[18:Res:250314.1,43104.0] || equal(tc_fun(u,tc_bool),v)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.45 252288[18:Res:203261.1,223826.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> equal(v,u).
% 300.07/300.45 253044[7:SpR:77362.0,67293.0] || -> c_lessequals(hAPP(c_HOL_Ominus__class_Ominus(v_G,u,tc_fun(v,tc_bool)),w),v_U,tc_bool)*.
% 300.07/300.45 254336[7:SpR:77362.0,99157.0] || -> hBOOL(hAPP(c_Set_Oimage(v_G,c_Set_Oinsert(u,v,w),w,x),v_U))*.
% 300.07/300.45 254536[7:SpR:77362.0,99161.0] || -> c_in(v_U,c_Set_Oimage(v_G,c_Set_Oinsert(u,v,w),w,x),x)*.
% 300.07/300.45 255195[19:Rew:255036.0,28944.0] || equal(c_Finite__Set_Ocard(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v),c_Suc(v_G))** -> .
% 300.07/300.45 255224[19:Rew:255036.0,240278.1] || equal(u,v_G) -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(v_G)),tc_nat)*.
% 300.07/300.45 255326[19:Rew:255036.0,10173.0] || c_HOL_Oord__class_Oless(v_G,c_Finite__Set_Ocard(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v),tc_nat)* -> .
% 300.07/300.45 255356[19:Rew:255036.0,99451.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.45 255367[19:Rew:255036.0,79214.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 255368[19:Rew:255036.0,78998.0] || c_lessequals(v_G,u,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> .
% 300.07/300.45 258186[20:SpR:256972.0,99157.0] || -> hBOOL(hAPP(c_Set_Oimage(v_U,c_Set_Oinsert(v_pn,u,v),v,w),v_G))*.
% 300.07/300.45 258187[20:SpR:256972.0,99161.0] || -> c_in(v_G,c_Set_Oimage(v_U,c_Set_Oinsert(v_pn,u,v),v,w),w)*.
% 300.07/300.45 258188[20:SpR:256972.0,67293.0] || -> c_lessequals(hAPP(c_HOL_Ominus__class_Ominus(v_U,u,tc_fun(v,tc_bool)),v_pn),v_G,tc_bool)*.
% 300.07/300.45 258386[20:Res:258317.0,203164.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G)),tc_nat)*.
% 300.07/300.45 258396[20:Res:258317.0,203089.1] || equal(c_Suc(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G)),v_G)** -> .
% 300.07/300.45 258498[20:Res:258387.0,3384.1] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),v_G,tc_nat)* -> .
% 300.07/300.45 258507[20:Res:258387.0,223826.0] || c_lessequals(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),v_U,tc_bool)* -> .
% 300.07/300.45 258508[20:Res:258387.0,202455.0] || c_lessequals(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),v_U,tc_nat)* -> .
% 300.07/300.45 259849[21:SpR:258638.0,99157.0] || -> hBOOL(hAPP(c_Set_Oimage(v_U,c_Set_Oinsert(v_U,u,v),v,w),v_G))*.
% 300.07/300.45 259850[21:SpR:258638.0,99161.0] || -> c_in(v_G,c_Set_Oimage(v_U,c_Set_Oinsert(v_U,u,v),v,w),w)*.
% 300.07/300.45 259851[21:SpR:258638.0,67293.0] || -> c_lessequals(hAPP(c_HOL_Ominus__class_Ominus(v_U,u,tc_fun(v,tc_bool)),v_U),v_G,tc_bool)*.
% 300.07/300.45 7132[0:Res:1717.0,32.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.07/300.45 7276[0:Res:1709.0,367.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 7277[0:Res:1639.0,367.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 7566[0:Res:1709.0,366.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(w,c_Suc(u),tc_nat).
% 300.07/300.45 7567[0:Res:1639.0,366.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(w,c_Suc(u),tc_nat).
% 300.07/300.45 8497[0:SpR:323.0,7257.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 8740[0:SpR:323.0,7285.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 9060[0:SpR:322.0,7545.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(w,u,tc_nat).
% 300.07/300.45 9108[0:SpR:322.0,7575.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(w,u,tc_nat).
% 300.07/300.45 12083[0:SpR:225.0,2169.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 12088[0:SpR:225.0,2606.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 12089[0:SpR:225.0,2607.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(v),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 12094[0:SpR:225.0,2647.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 12107[0:SpR:225.0,7125.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.07/300.45 12108[0:SpR:225.0,7279.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.07/300.45 12114[0:SpR:225.0,7285.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(w,u,tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 12117[0:SpR:225.0,7257.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_lessequals(w,u,tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 12160[0:SpL:225.0,2049.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 12161[0:SpL:225.0,2068.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 12170[0:SpL:225.0,2622.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(v),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 12171[0:SpL:225.0,2624.0] || c_lessequals(c_Suc(c_Suc(u)),c_Suc(v),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.07/300.45 12248[0:Res:12079.1,1716.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 12776[0:Res:12106.1,495.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 12777[0:Res:12106.1,270.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 12942[0:SpR:323.0,12730.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)),tc_nat)*.
% 300.07/300.45 14024[0:Res:484.1,3362.0] || c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 18053[0:SpR:632.1,1803.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 18054[0:SpR:632.1,1831.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 18065[0:SpR:632.1,2604.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 18066[0:SpR:632.1,2605.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_Suc(u),c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 21093[0:Res:1593.0,460.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 24143[5:SpL:2633.0,24117.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Oplus__class_Oplus(v,u,tc_nat))** -> .
% 300.07/300.45 25753[5:Res:24120.1,32.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_HOL_Oord__class_Oless(u,w,tc_nat)*.
% 300.07/300.45 25758[5:Res:24120.1,4852.0] || equal(c_Suc(c_Suc(u)),v) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 25777[5:Res:24120.1,4805.0] || equal(c_Suc(c_Suc(c_Suc(u))),v) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 25778[5:Res:24120.1,4762.0] || equal(c_Suc(c_Suc(c_Suc(u))),v) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 25783[5:Res:24120.1,2765.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(c_Suc(u)))** -> .
% 300.07/300.45 25784[5:Res:24120.1,2893.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(c_Suc(v)))** -> .
% 300.07/300.45 25786[5:Res:24120.1,2628.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(u))** -> .
% 300.07/300.45 25787[5:Res:24120.1,2819.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(v))** -> .
% 300.07/300.45 25789[5:Res:24120.1,3900.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),c_HOL_Ominus__class_Ominus(u,v,tc_nat))* -> .
% 300.07/300.45 25795[5:Res:24120.1,6375.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),w)** -> .
% 300.07/300.45 25796[5:Res:24120.1,3573.1] || equal(c_Suc(c_Suc(u)),c_Suc(v)) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 25797[5:Res:24120.1,3437.1] || equal(c_Suc(c_Suc(u)),c_Suc(v)) c_lessequals(v,u,tc_nat)* -> .
% 300.07/300.45 25801[5:Res:24120.1,3730.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),u)** -> .
% 300.07/300.45 25804[5:Res:24120.1,7608.1] || equal(c_Suc(c_Suc(c_Suc(u))),v)* c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 25805[5:Res:24120.1,7480.1] || equal(c_Suc(c_Suc(c_Suc(u))),v)* c_lessequals(v,u,tc_nat)* -> .
% 300.07/300.45 25809[5:Res:24120.1,3625.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),v)** -> .
% 300.07/300.45 25810[5:Res:24120.1,6386.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),v)** -> .
% 300.07/300.45 28647[0:SpR:383.0,2505.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))),tc_nat)*.
% 300.07/300.45 28648[0:SpR:383.0,2528.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))),tc_nat)*.
% 300.07/300.45 28728[0:SpL:383.0,3429.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 28734[5:SpL:383.0,25766.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))))* -> .
% 300.07/300.45 28735[5:SpL:383.0,25821.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 28851[5:Res:7545.0,24119.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 28852[5:Res:7257.0,24119.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 28912[5:Res:12081.1,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v)* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 28919[5:Res:12093.1,24119.0] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 28947[5:Res:12106.1,24119.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_HOL_Oord__class_Oless(v,w,tc_nat)*.
% 300.07/300.45 29014[5:Res:28839.1,3362.0] || equal(c_Suc(c_Suc(u)),v) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 29062[5:Res:25637.1,3226.0] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 29078[5:Res:25637.1,3433.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v)* -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 29124[0:SpR:382.0,2505.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))),tc_nat)*.
% 300.07/300.45 29125[0:SpR:382.0,2528.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))),tc_nat)*.
% 300.07/300.45 29205[0:SpL:382.0,3429.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 29211[5:SpL:382.0,25766.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))))* -> .
% 300.07/300.45 29212[5:SpL:382.0,25821.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 29394[5:Res:25750.1,483.0] || equal(c_Suc(c_Suc(u)),c_Suc(c_Suc(v))) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 29652[0:Rew:18.0,29576.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat)),tc_nat)*.
% 300.07/300.45 29698[0:SpR:323.0,28644.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.07/300.45 29826[0:SpR:322.0,29121.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)),tc_nat)*.
% 300.07/300.45 32617[5:SpL:519.0,25824.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(u)))),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 32643[5:Res:25750.1,25824.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),c_Suc(c_Suc(c_Suc(c_Suc(u)))))** -> .
% 300.07/300.45 34606[0:Rew:37.0,34512.0,322.0,34512.0,322.0,34512.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 34630[0:Rew:37.0,34576.0,322.0,34576.0,18.0,34576.0,380.0,34576.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 35101[0:Rew:322.0,35023.0] || -> c_lessequals(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 35055[0:Res:34600.0,5634.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.07/300.45 35056[0:Res:34600.0,563.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.07/300.45 35073[0:Res:34600.0,1716.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 35074[0:Res:34600.0,1614.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 35079[0:Res:34600.0,14023.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(u)),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 35080[0:Res:34600.0,12156.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(u)),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 35499[5:Res:25762.1,25636.0] || equal(c_Suc(c_Suc(u)),v)* equal(c_Suc(c_Suc(v)),u)* -> .
% 300.07/300.45 35586[5:Res:34600.0,25636.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat))),v)** -> .
% 300.07/300.45 38125[0:SpR:225.0,29122.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,w,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 38243[0:SpR:225.0,29123.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_HOL_Ominus__class_Ominus(v,w,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 38482[5:SpL:225.0,29210.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(w))* -> c_HOL_Oord__class_Oless(w,u,tc_nat)*.
% 300.07/300.45 39180[5:Res:34.1,39066.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u)* -> .
% 300.07/300.45 39184[5:Res:33.1,39066.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u)* -> .
% 300.07/300.45 39198[5:Res:4617.1,39066.1] || equal(c_Suc(c_Suc(u)),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 39278[5:Res:374.1,39066.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v,c_HOL_Ominus__class_Ominus(u,w,tc_nat))* -> .
% 300.07/300.45 39604[5:Res:39149.1,25636.0] || equal(c_Suc(u),v)* equal(c_Suc(c_Suc(c_Suc(v))),u)* -> .
% 300.07/300.45 39632[5:Res:39149.1,1716.0] || equal(c_Suc(c_Suc(u)),v) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 40647[0:Res:34604.0,3384.1] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 40707[5:MRR:40655.1,35061.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 40715[5:Res:40684.1,3358.1] || equal(c_Suc(u),v) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 40748[5:Res:40684.1,366.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 40749[5:Res:40684.1,367.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 40752[5:Res:40684.1,3362.0] || equal(c_Suc(u),v) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 40807[5:Res:25765.1,40721.1] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* equal(v,u) -> .
% 300.07/300.45 40987[5:Res:39150.1,35057.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)),v)** -> .
% 300.07/300.45 41576[5:Res:35076.0,40721.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(v)),u,tc_nat),tc_nat),v)** -> .
% 300.07/300.45 41767[5:MRR:41740.1,22615.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 42354[5:MRR:42286.1,22615.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 42540[5:Res:42466.1,32.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 42984[5:Res:25637.1,41013.0] || equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(c_Suc(v)))** -> .
% 300.07/300.45 43225[5:Res:12106.1,43104.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 48235[5:SSi:48202.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat)) -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 48238[0:SSi:48212.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* c_lessequals(v,u,tc_nat).
% 300.07/300.45 50453[0:SpR:519.0,29824.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(c_HOL_Ominus__class_Ominus(v,w,tc_nat),u,tc_nat)*.
% 300.07/300.45 50591[5:Res:35691.1,24119.0] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(w,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 50926[5:SpR:322.0,39079.1] || equal(u,v) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.07/300.45 50954[5:Res:39079.1,3384.1] || equal(u,v) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 50960[5:Res:39079.1,24119.0] || equal(u,v) equal(c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),u)* -> .
% 300.07/300.45 50979[5:Res:39079.1,43104.0] || equal(c_Suc(u),v)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u)* -> .
% 300.07/300.45 50987[5:Res:39079.1,270.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 51078[5:SpL:225.0,39137.0] || equal(u,v)* -> c_HOL_Oord__class_Oless(u,w,tc_nat)* c_lessequals(w,v,tc_nat)*.
% 300.07/300.45 51187[0:Res:50511.1,3384.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(w,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 51194[5:Res:50511.1,24119.0] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(w,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 51411[5:SpR:323.0,50915.1] || equal(u,v) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.07/300.45 51414[5:SpR:225.0,50915.1] || equal(u,v)* -> c_HOL_Oord__class_Oless(w,v,tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 51444[5:Res:50915.1,3384.1] || equal(u,v) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 51450[5:Res:50915.1,24119.0] || equal(u,v) equal(c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),u)* -> .
% 300.07/300.45 51469[5:Res:50915.1,43104.0] || equal(c_Suc(u),v)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u)* -> .
% 300.07/300.45 51476[5:Res:50915.1,495.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 51477[5:Res:50915.1,270.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 58740[5:MRR:58678.0,22615.0] || -> c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 61111[0:SSi:60990.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 63050[5:SpL:95.0,62658.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,c_COMBK(u,v,w),tc_fun(t_a,tc_bool))*.
% 300.07/300.45 63924[5:MRR:63923.0,47775.0] || -> c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool)) c_lessequals(u,v,tc_fun(t_a,tc_bool))*.
% 300.07/300.45 65887[0:SSi:65614.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 65889[0:SSi:65667.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 65890[5:SSi:65822.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat))** -> .
% 300.07/300.45 65891[5:SSi:65823.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat))** -> .
% 300.07/300.45 66246[0:SpR:225.0,65885.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 77361[7:Rew:77105.0,22931.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat),v_U)**.
% 300.07/300.45 79902[7:Rew:77105.0,77406.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)* equal(v_U,u).
% 300.07/300.45 79903[7:Rew:77105.0,77408.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> equal(v_U,u).
% 300.07/300.45 79904[7:Rew:77105.0,77429.2] || c_lessequals(u,v,tc_nat)* -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.07/300.45 77440[7:Rew:77105.0,73793.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) hBOOL(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,v),u))*.
% 300.07/300.45 77441[7:Rew:77105.0,73792.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_in(u,c_Set_Oimage(v_G,v_U,tc_Com_Opname,v),v)*.
% 300.07/300.45 77442[7:Rew:77105.0,73789.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(u,v,tc_bool)* c_lessequals(v,w,tc_bool)*.
% 300.07/300.45 77714[7:Rew:77105.0,22726.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 79907[7:Rew:77105.0,77720.2] || c_lessequals(u,v,tc_bool)* -> equal(u,v_U) c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 77833[7:Rew:77105.0,56902.1] || c_lessequals(u,c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 78044[7:Rew:77105.0,53807.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 78045[7:Rew:77105.0,50914.0] || equal(u,v_U)* equal(v,u)* -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 79908[7:Rew:77105.0,78046.1] || equal(u,v_U)* c_lessequals(v,v_U,tc_nat)* -> equal(u,v)*.
% 300.07/300.45 78099[7:Rew:77105.0,22715.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v))** -> equal(u,v_U).
% 300.07/300.45 78100[7:Rew:77105.0,22713.0] || equal(u,v_U) c_lessequals(v,u,tc_nat)* -> equal(u,v).
% 300.07/300.45 78101[7:Rew:77105.0,22711.0] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 79910[7:Rew:77105.0,78153.2] || c_lessequals(u,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v).
% 300.07/300.45 78157[7:Rew:77105.0,30729.0] || c_lessequals(u,v_U,tc_nat)* -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 78301[7:Rew:77105.0,22849.1] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat) equal(v,u).
% 300.07/300.45 79913[7:Rew:77105.0,78304.0] || c_lessequals(u,v_U,tc_bool)* -> equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.45 78315[7:Rew:77105.0,57864.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u),tc_nat)* -> equal(v,v_U).
% 300.07/300.45 78411[7:Rew:77105.0,58025.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.07/300.45 78412[7:Rew:77105.0,57981.1] || c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.07/300.45 78423[7:Rew:77105.0,42402.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 78426[7:Rew:77105.0,40630.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 78430[7:Rew:77105.0,38956.1] || equal(c_Suc(u),c_Suc(v)) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 78434[7:Rew:77105.0,38630.1] || equal(c_Suc(c_Suc(u)),v) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 78435[7:Rew:77105.0,38582.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.07/300.45 79914[7:Rew:77105.0,78468.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)* equal(v_U,v).
% 300.07/300.45 79915[7:Rew:77105.0,78470.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> equal(v_U,v).
% 300.07/300.45 78487[7:Rew:77105.0,22905.1] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)* equal(v_U,v).
% 300.07/300.45 78488[7:Rew:77105.0,22904.1] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)* equal(v_U,v).
% 300.07/300.45 78518[7:Rew:77105.0,37546.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** equal(c_Suc(w),u)* -> .
% 300.07/300.45 78520[7:Rew:77105.0,35904.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** equal(c_Suc(w),v)* -> .
% 300.07/300.45 78582[7:Rew:77105.0,22923.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 78583[7:Rew:77105.0,22920.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 78644[7:Rew:77105.0,22860.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 78662[7:Rew:77105.0,38836.1] || -> c_lessequals(c_Suc(u),c_Suc(v),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.07/300.45 78664[7:Rew:77105.0,22867.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U)** -> .
% 300.07/300.45 78665[7:Rew:77105.0,22866.1] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.07/300.45 78671[7:Rew:77105.0,33532.1] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 78673[7:Rew:77105.0,22907.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 78678[7:Rew:77105.0,33689.1] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 78680[7:Rew:77105.0,22909.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 78689[7:Rew:77105.0,22911.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),v_U)** -> .
% 300.07/300.45 78693[7:Rew:77105.0,22913.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),v_U)** -> .
% 300.07/300.45 78694[7:Rew:77105.0,22933.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat),v_U)**.
% 300.07/300.45 78695[7:Rew:77105.0,22934.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) equal(c_HOL_Ominus__class_Ominus(v,c_Suc(c_Suc(u)),tc_nat),v_U)**.
% 300.07/300.45 78700[7:Rew:77105.0,40833.1] || equal(c_Suc(u),v) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)**.
% 300.07/300.45 78705[7:Rew:77105.0,38625.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)**.
% 300.07/300.45 78706[7:Rew:77105.0,38598.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)** c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.07/300.45 78707[7:Rew:77105.0,38597.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)** c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 78709[7:Rew:77105.0,22936.1] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)**.
% 300.07/300.45 78785[7:Rew:77105.0,30441.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 78786[7:Rew:77105.0,30440.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 78842[7:Rew:77105.0,29657.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat),v_U)**.
% 300.07/300.45 78876[7:Rew:77105.0,29932.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat),v_U)**.
% 300.07/300.45 79027[7:Rew:77105.0,43984.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> equal(v,u).
% 300.07/300.45 79035[7:Rew:77105.0,48554.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 79064[7:Rew:77105.0,40991.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 79069[7:Rew:77105.0,43067.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U)** equal(v,u) -> .
% 300.07/300.45 79070[7:Rew:77105.0,41418.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U)** -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 79075[7:Rew:77105.0,41260.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 79253[7:Rew:77105.0,48400.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 79257[7:Rew:77105.0,48714.1] || -> equal(u,v) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 79377[7:Rew:77105.0,73188.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_in(u,c_Set_Oimage(v_G,v_U,tc_Com_Opname,v),v)*.
% 300.07/300.45 79378[7:Rew:77105.0,73187.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) hBOOL(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,v),u))*.
% 300.07/300.45 79379[7:Rew:77105.0,73184.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* c_HOL_Oord__class_Oless(u,v,tc_bool)* c_lessequals(v,w,tc_bool)*.
% 300.07/300.45 79389[7:Rew:77105.0,71462.2] || hBOOL(u) c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 79390[7:Rew:77105.0,71461.1] || c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) equal(v,u).
% 300.07/300.45 79476[7:Rew:77105.0,72383.1] || hBOOL(u) c_lessequals(v,v_U,tc_bool)* -> c_HOL_Oord__class_Oless(v,u,tc_bool)*.
% 300.07/300.45 79477[7:Rew:77105.0,73191.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_Com_Opname),v_pn),tc_bool)*.
% 300.07/300.45 79478[7:Rew:77105.0,73192.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v),tc_bool)*.
% 300.07/300.45 79479[7:Rew:77105.0,73193.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(u,v_U,tc_Com_Opname,v),hAPP(u,v_pn)),tc_bool)*.
% 300.07/300.45 79547[7:Rew:77105.0,73832.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 79548[7:Rew:77105.0,73830.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 79924[7:Rew:77105.0,79569.1] || -> c_HOL_Oord__class_Oless(v_U,c_COMBK(u,v,w),tc_bool)* equal(hAPP(v_U,x),u)*.
% 300.07/300.45 79925[7:Rew:77105.0,79574.2] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,c_Orderings_Obot__class_Obot(u),tc_bool)* c_lessequals(v_U,v,u)*.
% 300.07/300.45 79927[7:Rew:77105.0,79694.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),tc_bool)* c_in(v_U,v_U,u).
% 300.07/300.45 79720[7:Rew:77105.0,74256.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.45 79721[7:Rew:77105.0,74254.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_bool)* c_lessequals(u,c_Suc(v),tc_nat).
% 300.07/300.45 79732[7:Rew:77105.0,73820.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v),tc_nat)*.
% 300.07/300.45 79733[7:Rew:77105.0,73821.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(u,v_U,tc_Com_Opname,v),hAPP(u,v_pn)),tc_nat)*.
% 300.07/300.45 79734[7:Rew:77105.0,73822.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_Com_Opname),v_pn),tc_nat)*.
% 300.07/300.45 79740[7:Rew:77105.0,74291.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_bool)*.
% 300.07/300.45 79741[7:Rew:77105.0,74289.1] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_bool)*.
% 300.07/300.45 79744[7:Rew:77105.0,74287.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_bool)*.
% 300.07/300.45 79745[7:Rew:77105.0,74285.1] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_bool)*.
% 300.07/300.45 79755[7:Rew:77105.0,73961.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_bool)*.
% 300.07/300.45 79766[7:Rew:77105.0,74250.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_bool)* c_lessequals(u,v,tc_nat).
% 300.07/300.45 79770[7:Rew:77105.0,74297.1] || equal(u,v) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_bool)*.
% 300.07/300.45 79799[7:Rew:77105.0,74793.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),u,tc_nat),tc_bool)*.
% 300.07/300.45 80173[7:Rew:77105.0,80172.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),u,tc_nat),tc_nat)*.
% 300.07/300.45 82540[7:SSi:82527.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || hBOOL(u) c_lessequals(v,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.07/300.45 82541[7:SSi:82528.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || hBOOL(u) c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.07/300.45 82566[7:Res:60456.0,82519.0] || equal(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_Com_Opname),v_pn),v_U)** -> .
% 300.07/300.45 82571[7:Res:21950.0,82519.0] || equal(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v),v_U)** -> .
% 300.07/300.45 82572[7:Res:2172.0,82519.0] || equal(hAPP(c_Set_Oimage(u,v_U,tc_Com_Opname,v),hAPP(u,v_pn)),v_U)** -> .
% 300.07/300.45 83431[7:SSi:83422.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat) equal(v,u).
% 300.07/300.45 86481[7:Res:86356.1,514.0] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) equal(v,u).
% 300.07/300.45 95601[7:SpR:632.1,79861.0] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) equal(v_U,u).
% 300.07/300.45 95724[7:Res:186.1,79387.0] class_Orderings_Olinorder(tc_bool) || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_bool)* c_HOL_Oord__class_Oless(v_U,u,tc_bool).
% 300.07/300.45 96235[7:SSi:96178.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 100860[7:MRR:100769.2,77116.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 101738[7:SpL:574.1,101465.0] || c_in(u,v,w)* c_lessequals(hAPP(v,u),v_U,tc_nat)* -> .
% 300.07/300.45 106325[7:Res:77292.1,105345.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 110692[7:Res:80007.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 114391[7:Res:77277.0,89259.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 114396[7:Res:77278.0,89259.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 114576[7:Res:77273.1,89259.0] || -> equal(u,v) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 114589[7:Res:80007.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 114791[7:SpL:225.0,95861.0] || c_lessequals(u,v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v,v_U).
% 300.07/300.45 114850[10:SSi:114843.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool) c_HOL_Oord__class_Oless(tc_fun(v,tc_bool),u,tc_bool)* -> .
% 300.07/300.45 115145[10:SpR:4.0,115044.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 115177[10:SpL:4.0,115045.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 115200[10:SpR:4.0,115046.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 115246[10:SpR:5.0,115139.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 115286[10:SpL:5.0,115171.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 115316[10:SpR:5.0,115194.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 115372[10:SpL:632.1,114959.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* c_lessequals(v,v_U,tc_nat) -> .
% 300.07/300.45 115566[10:Res:115248.0,35057.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 115641[10:Res:115288.1,35057.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 115723[10:Res:115318.0,35057.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 116186[10:SpR:225.0,115338.0] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.45 116230[10:SpL:225.0,115339.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.07/300.45 116265[10:SpR:225.0,115340.0] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 121240[10:Res:121134.0,32.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 121373[10:Rew:4.0,121327.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 122216[7:Rew:77124.0,122050.1] || c_lessequals(u,v_U,tc_bool)* -> equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 122388[7:Res:122206.1,35057.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 122717[7:SpR:259.0,80043.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_bool)*.
% 300.07/300.45 122718[7:SpR:259.0,87461.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.07/300.45 122759[7:SpL:259.0,88241.0] || equal(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),v_U)** -> .
% 300.07/300.45 123195[10:SpL:632.1,122657.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* c_lessequals(v,v_U,tc_bool) -> .
% 300.07/300.45 123988[10:SpR:323.0,123633.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),u,tc_nat)),tc_nat)*.
% 300.07/300.45 124075[10:SpL:323.0,123647.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat)),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 124101[10:Res:39079.1,123647.0] || equal(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),w)** -> .
% 300.07/300.45 124103[10:Res:50915.1,123647.0] || equal(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v)** -> .
% 300.07/300.45 124199[10:Rew:4.0,124155.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 124156[10:Res:35691.1,123647.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 124218[10:SpR:322.0,123984.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),tc_nat)*.
% 300.07/300.45 124297[10:SpL:322.0,124071.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 124402[10:Rew:4.0,124312.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),v)** -> .
% 300.07/300.45 124403[10:Rew:4.0,124314.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),u)** -> .
% 300.07/300.45 124414[10:Rew:4.0,124366.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(tc_fun(w,tc_bool),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 124415[10:Rew:4.0,124369.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,tc_fun(w,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 125031[10:SpL:77189.1,125001.0] || equal(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool),tc_nat),u)** -> equal(u,v_U).
% 300.07/300.45 141834[7:SpR:225.0,79554.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_bool)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 142951[7:SpL:574.1,142935.0] || c_in(u,v,w)* c_lessequals(hAPP(v,u),v_U,tc_bool)* -> .
% 300.07/300.45 142996[7:SpR:99801.1,77261.1] || c_lessequals(u,v_U,tc_nat)* equal(v,u)* -> equal(v,v_U)*.
% 300.07/300.45 143265[7:SpR:100083.1,77273.1] || c_lessequals(u,v_U,tc_nat)* -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 143362[7:SpR:100083.1,79549.0] || c_lessequals(u,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)* equal(u,v)*.
% 300.07/300.45 151231[7:SSi:151212.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_bool)* -> equal(v,v_U).
% 300.07/300.45 151730[7:SpR:151466.1,39079.1] || equal(u,v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 153844[7:Con:153818.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.07/300.45 153845[7:Con:153820.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* c_lessequals(u,c_Suc(v),tc_nat).
% 300.07/300.45 153846[7:Con:153823.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat)* c_lessequals(u,v,tc_nat).
% 300.07/300.45 153849[7:Con:153835.1] || equal(u,v) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)*.
% 300.07/300.45 154078[7:SpR:153803.1,39079.1] || equal(u,v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 157633[5:SSi:157621.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_HOL_Oord__class_Oless(u,c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(u,v_G,v,w,t_a),tc_fun(w,tc_bool))* -> .
% 300.07/300.45 157780[7:SSi:157762.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_bool)* -> equal(v,u).
% 300.07/300.45 157831[0:SpR:95.0,67291.0] || -> c_lessequals(u,hAPP(c_Set_Oinsert(v,c_COMBK(u,w,x),y),z),tc_bool)*.
% 300.07/300.45 157849[0:SSi:157847.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_HOL_Oord__class_Oless(hAPP(c_Set_Oinsert(u,v,w),x),hAPP(v,x),tc_bool)* -> .
% 300.07/300.45 163009[0:Res:543.1,66830.1] || hBOOL(hAPP(u,c_Suc(c_Finite__Set_Olinorder__class_OMax(u,tc_nat))))* c_Finite__Set_Ofinite(u,tc_nat) -> .
% 300.07/300.45 163012[0:MRR:163011.0,5500.0] || c_in(c_Suc(u),c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)* -> .
% 300.07/300.45 168770[0:SSi:168758.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat).
% 300.07/300.45 169281[0:Res:213.1,7286.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 169286[0:Res:205.1,7286.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 172417[7:Res:79847.1,31646.0] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 172444[7:Res:110642.1,31646.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 172449[7:Res:79845.1,31646.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 172480[7:Res:77284.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_Finite__Set_Ocard(c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_nat)*.
% 300.07/300.45 172498[7:Res:158007.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,hAPP(c_Set_Oinsert(v,v_U,w),v_pn),tc_nat),tc_nat)*.
% 300.07/300.45 172499[7:Res:79565.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,hAPP(c_Set_Oinsert(v,w,x),v),tc_nat),tc_nat)*.
% 300.07/300.45 172501[16:Res:164090.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,hAPP(c_Set_Oinsert(v,v_U,w),v_U),tc_nat),tc_nat)*.
% 300.07/300.45 172508[7:Res:87461.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat)*.
% 300.07/300.45 172514[15:Res:114040.1,31646.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,tc_fun(w,u),tc_nat),tc_nat)*.
% 300.07/300.45 172515[14:Res:113741.1,31646.0] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,tc_fun(w,u),tc_nat),tc_nat)*.
% 300.07/300.45 172516[13:Res:113560.1,31646.0] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,tc_fun(w,u),tc_nat),tc_nat)*.
% 300.07/300.45 172517[12:Res:113368.1,31646.0] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,tc_fun(w,u),tc_nat),tc_nat)*.
% 300.07/300.45 172518[11:Res:113221.1,31646.0] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,tc_fun(w,u),tc_nat),tc_nat)*.
% 300.07/300.45 173819[7:SpR:322.0,172418.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 173856[7:Res:172418.1,89259.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 173857[7:Res:172418.1,77327.0] || hBOOL(u) equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 173858[7:Res:172418.1,77320.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 173883[7:Res:172418.1,25748.1] || hBOOL(u) equal(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),c_Suc(v))** -> .
% 300.07/300.45 174774[7:SpR:632.1,173961.1] || c_lessequals(u,v,tc_nat)* hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 174906[7:Res:174556.1,89259.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 174907[7:Res:174556.1,77327.0] || hBOOL(u) equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 174908[7:Res:174556.1,77320.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 175034[0:Res:564.1,64371.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_lessequals(c_Suc(w),u,tc_nat).
% 300.07/300.45 175062[5:Res:28839.1,64371.0] || equal(c_Suc(u),c_HOL_Ominus__class_Ominus(v,w,tc_nat))* -> c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 175137[7:SpL:632.1,174671.1] || c_lessequals(u,v,tc_nat)* hBOOL(u) equal(v,v_U) -> .
% 300.07/300.45 175217[7:SpR:323.0,173805.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 175288[7:Res:173805.1,25748.1] || hBOOL(u) equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v))** -> .
% 300.07/300.45 175359[7:SpL:143013.1,173881.1] || c_lessequals(u,v_U,tc_nat)* hBOOL(v)* equal(v,u)* -> .
% 300.07/300.45 178971[7:Res:96535.1,79843.0] || c_lessequals(u,v_G,tc_fun(t_a,tc_bool))* -> equal(c_Finite__Set_Ocard(u,t_a),v_U).
% 300.07/300.45 180523[10:SpR:153907.1,172472.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 180524[10:SpR:151561.1,172472.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 180525[10:SpR:77202.1,172472.0] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 181325[7:Rew:77123.0,181246.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.45 181355[7:Con:181354.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.45 181361[7:Con:181360.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U).
% 300.07/300.45 181745[10:SpL:153907.1,180569.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 181746[10:SpL:151561.1,180569.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 181747[10:SpL:77202.1,180569.0] || equal(u,v_U) equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),u)* -> .
% 300.07/300.45 182798[0:SpR:519.0,175038.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_lessequals(w,c_Suc(u),tc_nat).
% 300.07/300.45 182932[5:SpL:519.0,175058.0] || equal(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat))* -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 183021[0:SpR:519.0,175066.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_lessequals(w,c_Suc(u),tc_nat).
% 300.07/300.45 184618[7:Res:1850.0,78444.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.07/300.45 184647[7:Res:1839.1,78444.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.07/300.45 189481[7:SpL:225.0,189424.0] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.07/300.45 196269[7:SpR:77261.1,196015.0] || equal(u,v) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U,tc_nat)*.
% 300.07/300.45 196421[0:Res:196015.0,3384.1] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),tc_nat)* -> .
% 300.07/300.45 196424[5:Res:196015.0,24119.0] || equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)))** -> .
% 300.07/300.45 196689[0:Res:196400.0,3384.1] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.07/300.45 196692[5:Res:196400.0,24119.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat)),c_HOL_Ominus__class_Ominus(u,v,tc_nat))** -> .
% 300.07/300.45 196915[0:Res:196502.0,3384.1] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,c_Suc(c_HOL_Ominus__class_Ominus(v,u,tc_nat)),tc_nat),tc_nat)* -> .
% 300.07/300.45 196919[5:Res:196502.0,24119.0] || equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),tc_nat),c_Suc(v))** -> .
% 300.07/300.45 197141[0:Res:196757.0,3384.1] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_nat)* -> .
% 300.07/300.45 197145[5:Res:196757.0,24119.0] || equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat),c_Suc(v))** -> .
% 300.07/300.45 197559[5:SpR:519.0,197236.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(v),tc_nat)*.
% 300.07/300.45 197886[0:Res:196993.0,3384.1] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),tc_nat)* -> .
% 300.07/300.45 197954[5:MRR:197892.1,42985.0] || c_lessequals(c_Suc(u),c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),tc_nat)* -> .
% 300.07/300.45 198717[17:SSi:198703.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_bool)*.
% 300.07/300.45 198718[17:SSi:198704.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 199010[7:Rew:77122.0,198802.1] || -> c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.07/300.45 199745[17:SSi:199731.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v_U,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 199746[17:SSi:199732.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.07/300.45 200375[7:Res:62872.1,89259.0] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.07/300.45 200376[7:Res:62872.1,77327.0] || c_lessequals(c_Suc(u),v,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U) -> .
% 300.07/300.45 200377[7:Res:62872.1,77320.0] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.07/300.45 200786[5:Res:39025.1,63285.0] || equal(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat))* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 200794[0:Res:1638.0,63285.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_HOL_Oord__class_Oless(w,c_Suc(u),tc_nat).
% 300.07/300.45 200802[0:Res:50511.1,63285.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 200803[0:Res:35691.1,63285.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 200873[17:SpR:632.1,200064.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u,tc_nat)*.
% 300.07/300.45 201029[17:SpL:632.1,200924.0] || c_lessequals(v_G,u,tc_nat) equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),u)** -> .
% 300.07/300.45 201875[5:Res:39025.1,116447.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u)** c_HOL_Oord__class_Oless(w,v,tc_nat)* -> .
% 300.07/300.45 202318[5:Res:39025.1,116783.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)** c_HOL_Oord__class_Oless(w,u,tc_nat)* -> .
% 300.07/300.45 203508[18:Rew:203026.0,39344.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 203509[18:Rew:203026.0,39343.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 203517[18:Rew:203026.0,164111.0] || equal(u,v_G) -> c_lessequals(v,v_U,tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 203539[18:Rew:203026.0,78337.0] || equal(u,v_G) equal(c_Suc(v),u)* -> equal(v,v_U).
% 300.07/300.45 203540[18:Rew:203026.0,78336.0] || equal(u,v_G) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> equal(v,v_U).
% 300.07/300.45 203552[18:Rew:203026.0,39321.0] || equal(u,v_G) -> equal(u,c_Suc(v)) c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 203564[18:Rew:203026.0,40394.1] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* equal(v,v_G) -> .
% 300.07/300.45 203652[18:Rew:203026.0,36228.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))),c_Suc(u))** -> .
% 300.07/300.45 203654[18:Rew:203026.0,164177.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))))),tc_nat)*.
% 300.07/300.45 203660[18:Rew:203026.0,167937.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))))),u)** -> .
% 300.07/300.45 203662[18:Rew:203026.0,182348.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))),u,tc_nat)* -> .
% 300.07/300.45 203678[18:Rew:203026.0,196315.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))),tc_nat),v_U,tc_nat)*.
% 300.07/300.45 203683[18:Rew:203026.0,16601.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),tc_nat)*.
% 300.07/300.45 203703[18:Rew:203026.0,15971.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat))),tc_nat)*.
% 300.07/300.45 203704[18:Rew:203026.0,15972.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat))),tc_nat)*.
% 300.07/300.45 203713[18:Rew:203026.0,28939.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat))),u)** -> .
% 300.07/300.45 203714[18:Rew:203026.0,15981.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)),u,tc_nat)* -> .
% 300.07/300.45 203893[18:Rew:203026.0,15973.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 203894[18:Rew:203026.0,15974.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat))),tc_nat)*.
% 300.07/300.45 203920[18:Rew:203026.0,196982.1] || equal(c_Suc(u),v) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)*.
% 300.07/300.45 203921[18:Rew:203026.0,196981.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)*.
% 300.07/300.45 203959[18:Rew:203026.0,15976.1] || -> c_lessequals(u,c_Suc(v),tc_nat) c_lessequals(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.07/300.45 203960[18:Rew:203026.0,15975.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.07/300.45 204013[18:Rew:203026.0,164195.0] || equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 204051[18:Rew:203026.0,78736.0] || equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v_U) -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 204065[18:Rew:203026.0,153852.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)* c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 204090[18:Rew:203026.0,79605.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_bool)* c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 204187[18:Rew:203026.0,124066.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 204189[18:Rew:203026.0,124287.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 204236[18:Rew:203026.0,184615.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.07/300.45 204245[18:Rew:203026.0,7164.0] || c_lessequals(c_Suc(u),v_G,tc_nat)* c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 204278[18:Rew:203026.0,79587.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_bool)*.
% 300.07/300.45 204279[18:Rew:203026.0,79558.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)*.
% 300.07/300.45 204280[18:Rew:203026.0,78725.0] || c_lessequals(v_G,u,tc_nat) equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U)** -> .
% 300.07/300.45 204281[18:Rew:203026.0,78657.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 204282[18:Rew:203026.0,78643.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 204283[18:Rew:203026.0,78579.0] || c_lessequals(v_G,u,tc_nat) equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> .
% 300.07/300.45 204286[18:Rew:203026.0,58744.0] || -> c_lessequals(v_G,u,tc_nat) equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v))**.
% 300.07/300.45 204293[18:Rew:203026.0,19750.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_lessequals(v_G,u,tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 204296[18:Rew:203026.0,201783.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 204319[18:Rew:203026.0,181996.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_lessequals(v,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 204321[18:Rew:203026.0,179916.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),u,tc_nat)*.
% 300.07/300.45 204332[18:Rew:203026.0,179835.1] || equal(u,v)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 204333[18:Rew:203026.0,179834.1] || equal(u,v)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 204334[18:Rew:203026.0,179608.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.07/300.45 204351[18:Rew:203026.0,122596.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 204388[18:Rew:203026.0,78787.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 204389[18:Rew:203026.0,78339.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 204421[18:Rew:203026.0,12457.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 204423[18:Rew:203026.0,79005.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)**.
% 300.07/300.45 204426[18:Rew:203026.0,40547.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G))** equal(c_Suc(v),u)* -> .
% 300.07/300.45 204427[18:Rew:203026.0,36298.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.07/300.45 204428[18:Rew:203026.0,29381.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 204439[18:Rew:203026.0,77711.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(c_Suc(u)),tc_nat)*.
% 300.07/300.45 204441[18:Rew:203026.0,77846.0] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_Suc(v_G)))** -> equal(u,v_U).
% 300.07/300.45 204447[18:Rew:203026.0,77847.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v_G)),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 204453[18:Rew:203026.0,77845.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(v_G)),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 204456[18:Rew:203026.0,35816.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),c_Suc(c_Suc(c_Suc(v_G))))** -> .
% 300.07/300.45 204568[18:Rew:203026.0,6135.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(c_Suc(v_G),v,tc_nat).
% 300.07/300.45 204581[18:Rew:203026.0,77713.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v_G),tc_nat)* -> .
% 300.07/300.45 204587[18:Rew:203026.0,21154.1] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_lessequals(c_Suc(v_G),v,tc_nat).
% 300.07/300.45 204621[18:Rew:203026.0,29374.0] || equal(c_Suc(u),c_Suc(v_G)) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.07/300.45 204629[18:Rew:203026.0,35800.0] || equal(c_Suc(c_Suc(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname))),c_Suc(v_G))** -> .
% 300.07/300.45 204641[18:Rew:203026.0,64374.0] || c_lessequals(u,c_Suc(v_G),tc_nat) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 204650[18:Rew:203026.0,62385.0] || c_HOL_Oord__class_Oless(u,c_Suc(v_G),tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 204661[18:Rew:203026.0,112176.1] || hBOOL(u) equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat))),c_Suc(v_G))** -> .
% 300.07/300.45 204662[18:Rew:203026.0,77397.0] || equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat))),c_Suc(v_G))** -> equal(v_U,u).
% 300.07/300.45 204663[18:Rew:203026.0,78043.1] || -> equal(u,v_U) c_lessequals(c_Suc(v_G),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 204721[18:Rew:203026.0,99900.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)))),c_Suc(v_G))** -> .
% 300.07/300.45 204738[18:Rew:203026.0,116162.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat))),c_Suc(v_G))** -> .
% 300.07/300.45 204739[18:Rew:203026.0,116525.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat))),c_Suc(v_G))** -> .
% 300.07/300.45 204740[18:Rew:203026.0,118501.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Suc(c_Suc(tc_fun(v,u))),c_Suc(v_G))** -> .
% 300.07/300.45 204741[18:Rew:203026.0,118264.1] class_Orderings_Obot(u) || equal(c_Suc(c_Suc(tc_fun(v,u))),c_Suc(v_G))** -> .
% 300.07/300.45 204742[18:Rew:203026.0,118027.1] class_HOL_Oord(u) || equal(c_Suc(c_Suc(tc_fun(v,u))),c_Suc(v_G))** -> .
% 300.07/300.45 204743[18:Rew:203026.0,117804.1] class_Orderings_Opreorder(u) || equal(c_Suc(c_Suc(tc_fun(v,u))),c_Suc(v_G))** -> .
% 300.07/300.45 204744[18:Rew:203026.0,117376.1] class_Orderings_Oorder(u) || equal(c_Suc(c_Suc(tc_fun(v,u))),c_Suc(v_G))** -> .
% 300.07/300.45 204756[18:Rew:203026.0,142574.0] || equal(c_Suc(c_Suc(hAPP(c_Set_Oinsert(u,v,w),u))),c_Suc(v_G))** -> .
% 300.07/300.45 204761[18:Rew:203026.0,158594.0] || equal(c_Suc(c_Suc(hAPP(c_Set_Oinsert(u,v_U,v),v_pn))),c_Suc(v_G))** -> .
% 300.07/300.45 204768[18:Rew:203026.0,168092.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat))))),u)** -> .
% 300.07/300.45 204785[18:Rew:203026.0,168552.0] || equal(c_Suc(c_Suc(hAPP(c_Set_Oinsert(u,v_U,v),v_U))),c_Suc(v_G))** -> .
% 300.07/300.45 204873[18:Rew:203026.0,189314.0] || equal(c_Suc(u),v_G) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.07/300.45 204881[18:Rew:203026.0,156992.0] || equal(c_Suc(u),v_G) -> equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.45 204882[18:Rew:203026.0,150545.0] || equal(c_Suc(u),v_G)** -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.07/300.45 204883[18:Rew:203026.0,135121.0] || equal(c_Suc(u),v_G) -> equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.07/300.45 204885[18:Rew:203026.0,114554.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 204900[18:Rew:203026.0,79251.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 204901[18:Rew:203026.0,79034.1] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** -> equal(c_Suc(u),v_G).
% 300.07/300.45 204902[18:Rew:203026.0,78473.0] || equal(c_Suc(u),v_G) -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v).
% 300.07/300.45 204903[18:Rew:203026.0,78291.0] || equal(c_Suc(u),v_G)** -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 204927[18:Rew:203026.0,27518.0] || equal(c_Suc(u),v_G) -> equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.07/300.45 204937[18:Rew:203026.0,7574.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 204938[18:Rew:203026.0,7284.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 204940[18:Rew:203026.0,156947.2] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.45 204941[18:Rew:203026.0,135075.2] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.45 204942[18:Rew:203026.0,116485.1] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat).
% 300.07/300.45 204950[18:Rew:203026.0,78053.2] || equal(u,v_U)* -> equal(v,u)* c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.45 204951[18:Rew:203026.0,77842.2] || equal(u,v)* -> equal(u,v_U)* c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.45 204957[18:Rew:203026.0,6983.2] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.07/300.45 204962[18:Rew:203026.0,199739.1] || c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.45 205021[18:Rew:203026.0,95983.1] || c_lessequals(c_Suc(tc_fun(u,tc_bool)),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.45 205029[18:Rew:203026.0,82539.2] || hBOOL(u) c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 205046[18:Rew:203026.0,77844.2] || equal(c_Suc(u),v)* -> equal(u,v_U) c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 205047[18:Rew:203026.0,77412.2] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> equal(v_U,u) c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 205077[18:Rew:203026.0,36317.1] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 205086[18:Rew:203026.0,201769.1] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.07/300.45 205107[18:Rew:203026.0,143262.2] || c_lessequals(u,v_U,tc_nat)* -> equal(u,v)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205126[18:Rew:203026.0,83168.2] || hBOOL(u) c_lessequals(u,v,tc_nat)* -> c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205140[18:Rew:203026.0,77426.2] || c_lessequals(u,v,tc_nat)* -> equal(v_U,u) c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 205160[18:Rew:203026.0,12831.1] || c_lessequals(u,v,tc_nat)* -> c_lessequals(v_G,v,tc_nat)* equal(v,u).
% 300.07/300.45 205163[18:Rew:203026.0,28945.1] || equal(c_Suc(u),v)* -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 205166[18:Rew:203026.0,6488.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 205168[18:Rew:203026.0,28884.1] || equal(c_Suc(u),v)* -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 205171[18:Rew:203026.0,6555.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 205200[18:Rew:203026.0,7129.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 205210[18:Rew:203026.0,20672.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 205211[18:Rew:203026.0,19767.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 205215[18:Rew:203026.0,201782.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 205280[18:Rew:203026.0,122208.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_lessequals(u,v_G,tc_nat).
% 300.07/300.45 205282[18:Rew:203026.0,117078.0] || c_lessequals(u,v_G,tc_nat)* equal(c_Suc(tc_fun(v,tc_bool)),u)* -> .
% 300.07/300.45 205283[18:Rew:203026.0,117028.0] || c_lessequals(u,v_G,tc_nat) c_HOL_Oord__class_Oless(tc_fun(v,tc_bool),u,tc_nat)* -> .
% 300.07/300.45 205336[18:Rew:203026.0,95982.0] || c_lessequals(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 205369[18:Rew:203026.0,78338.0] || c_lessequals(u,v_G,tc_nat)* -> equal(v,v_U) c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 205439[18:Rew:203026.0,114553.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 205452[18:Rew:203026.0,79252.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 205453[18:Rew:203026.0,79033.0] || equal(v_G,u) equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 205454[18:Rew:203026.0,78889.0] || equal(v_G,u) c_lessequals(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 205466[18:Rew:203026.0,8761.1] || -> c_lessequals(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.07/300.45 205468[18:Rew:203026.0,9130.1] || -> c_lessequals(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 205470[18:Rew:203026.0,10262.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(v_G,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 205472[18:Rew:203026.0,12773.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_lessequals(v_G,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.07/300.45 205477[18:Rew:203026.0,78064.1] || equal(u,v_U)* equal(v_G,v)* equal(v,u)* -> .
% 300.07/300.45 205511[18:Rew:203026.0,77638.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),u,tc_nat)*.
% 300.07/300.45 205518[18:Rew:203026.0,117036.0] || equal(c_Suc(c_Suc(tc_fun(u,tc_bool))),c_Suc(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat)))* -> .
% 300.07/300.45 205580[18:Rew:203026.0,15978.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 205581[18:Rew:203026.0,15983.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 205583[18:Rew:203026.0,28935.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat))),v)** -> .
% 300.07/300.45 205735[18:Rew:203026.0,196994.1] || -> c_lessequals(u,v,tc_nat) c_lessequals(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 205736[18:Rew:203026.0,197644.0] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(v,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat),tc_nat)* -> .
% 300.07/300.45 205739[18:Rew:203026.0,16191.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_G,tc_nat))),tc_nat)*.
% 300.07/300.45 205740[18:Rew:203026.0,31485.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_G,tc_nat))),tc_nat)*.
% 300.07/300.45 205750[18:Rew:203026.0,16192.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat))),tc_nat)*.
% 300.07/300.45 205753[18:Rew:203026.0,26856.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat))),tc_nat)*.
% 300.07/300.45 205754[18:Rew:203026.0,28941.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat))),v)** -> .
% 300.07/300.45 205755[18:Rew:203026.0,28942.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat))),u)** -> .
% 300.07/300.45 205772[18:Rew:203026.0,16240.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)),v,tc_nat)* -> .
% 300.07/300.45 205773[18:Rew:203026.0,16243.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)),u,tc_nat)* -> .
% 300.07/300.45 205897[18:Rew:203026.0,189045.1] || -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat).
% 300.07/300.45 205901[18:Rew:203026.0,150490.2] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.45 205911[18:Rew:203026.0,78474.2] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v) c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.45 205912[18:Rew:203026.0,78292.2] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(u),tc_nat)*.
% 300.07/300.45 205927[18:Rew:203026.0,168305.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 205929[18:Rew:203026.0,116616.1] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* c_HOL_Oord__class_Oless(v,v_G,tc_nat) -> .
% 300.07/300.45 205938[18:Rew:203026.0,83187.1] || hBOOL(u) c_HOL_Oord__class_Oless(v,v_G,tc_nat)* -> c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.07/300.45 205953[18:Rew:203026.0,78784.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 205954[18:Rew:203026.0,78091.2] || equal(u,v_U) -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(v,v_G,tc_nat)*.
% 300.07/300.45 205955[18:Rew:203026.0,78058.2] || equal(u,v_U)* equal(v,u)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat)*.
% 300.07/300.45 205956[18:Rew:203026.0,77450.2] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(v,v_G,tc_nat)*.
% 300.07/300.45 205981[18:Rew:203026.0,79030.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 205982[18:Rew:203026.0,79259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 205983[18:Rew:203026.0,114581.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 206004[18:Rew:203026.0,122207.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_lessequals(v,v_G,tc_nat).
% 300.07/300.45 206019[18:Rew:203026.0,83186.1] || hBOOL(u) c_lessequals(v,v_G,tc_nat)* -> c_lessequals(v,u,tc_nat)*.
% 300.07/300.45 206041[18:Rew:203026.0,27544.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> c_lessequals(u,w,tc_nat)*.
% 300.07/300.45 206042[18:Rew:203026.0,27543.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G)** -> c_lessequals(v,w,tc_nat)*.
% 300.07/300.45 206066[18:Rew:203026.0,116548.1] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* equal(c_Suc(v),v_G) -> .
% 300.07/300.45 206071[18:Rew:203026.0,78090.1] || equal(u,v_U)* equal(c_Suc(v),v_G)** -> equal(u,v)*.
% 300.07/300.45 206124[18:Rew:203026.0,142504.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),v_G)** -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 206127[18:Rew:203026.0,142478.1] || -> c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 206136[18:Rew:203026.0,35071.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 206152[18:Rew:203026.0,40990.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 206153[18:Rew:203026.0,40994.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 206154[18:Rew:203026.0,41559.0] || -> c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(v)),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206155[18:Rew:203026.0,41577.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(v)),u,tc_nat),tc_nat),v_G)** -> .
% 300.07/300.45 206172[18:Rew:203026.0,47932.0] || -> c_lessequals(v_G,c_Finite__Set_Ocard(c_Set_Oinsert(u,c_Set_Oinsert(v,v_G,t_a),t_a),t_a),tc_nat)*.
% 300.07/300.45 206181[18:Rew:203026.0,48027.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat)),tc_nat)*.
% 300.07/300.45 206182[18:Rew:203026.0,48029.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat)),v_G)** -> .
% 300.07/300.45 206208[18:Rew:203026.0,49227.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat)),tc_nat)*.
% 300.07/300.45 206209[18:Rew:203026.0,49239.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat)),v_G)** -> .
% 300.07/300.45 206211[18:Rew:203026.0,50005.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 206214[18:Rew:203026.0,78466.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)* equal(v_U,v).
% 300.07/300.45 206215[18:Rew:203026.0,77394.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)* equal(v_U,u).
% 300.07/300.45 206224[18:Rew:203026.0,51882.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 206311[18:Rew:203026.0,77389.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_G,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 206312[18:Rew:203026.0,112097.1] || hBOOL(u) equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 206313[18:Rew:203026.0,77399.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)),v_G)** -> equal(v_U,u).
% 300.07/300.45 206314[18:Rew:203026.0,112080.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 206315[18:Rew:203026.0,77400.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 206323[18:Rew:203026.0,78485.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G,tc_nat)* -> equal(v_U,v).
% 300.07/300.45 206324[18:Rew:203026.0,77428.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),v_G,tc_nat)* -> equal(v_U,u).
% 300.07/300.45 206328[18:Rew:203026.0,79949.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** equal(v_U,v).
% 300.07/300.45 206329[18:Rew:203026.0,79941.1] || -> equal(u,v_U) equal(c_HOL_Ominus__class_Ominus(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)**.
% 300.07/300.45 206342[18:Rew:203026.0,79302.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** c_lessequals(u,v,tc_nat)*.
% 300.07/300.45 206344[18:Rew:203026.0,79979.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,v_G,t_a),tc_bool)* equal(c_Finite__Set_Ocard(v_U,t_a),v_G).
% 300.07/300.45 206474[18:Rew:203026.0,99094.0] || -> c_lessequals(v_G,hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v),tc_nat)*.
% 300.07/300.45 206475[18:Rew:203026.0,99112.1] class_Complete__Lattice_Ocomplete__lattice(tc_nat) || -> c_lessequals(v_G,c_Inductive_Ocomplete__lattice__class_Ogfp(c_Set_Oinsert(v_G,u,v),tc_nat),tc_nat)*.
% 300.07/300.45 206502[18:Rew:203026.0,103308.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat)),tc_nat)*.
% 300.07/300.45 206503[18:Rew:203026.0,103325.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat)),v_G)** -> .
% 300.07/300.45 206534[18:Rew:203026.0,105311.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || c_lessequals(c_HOL_Oplus__class_Oplus(v_G,c_HOL_Oone__class_Oone(tc_bool),tc_bool),v_U,tc_bool)* -> .
% 300.07/300.45 206564[18:Rew:203026.0,111740.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 206565[18:Rew:203026.0,111756.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 206568[18:Rew:203026.0,111953.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat)),tc_nat)*.
% 300.07/300.45 206569[18:Rew:203026.0,111969.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat)),v_G)** -> .
% 300.07/300.45 206594[18:Rew:203026.0,115425.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206595[18:Rew:203026.0,115894.0] || equal(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),v_G)** -> equal(u,v_U).
% 300.07/300.45 206598[18:Rew:203026.0,116144.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 206599[18:Rew:203026.0,115466.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206605[18:Rew:203026.0,115962.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 206606[18:Rew:203026.0,115981.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 206609[18:Rew:203026.0,116293.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 206610[18:Rew:203026.0,116312.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 206621[18:Rew:203026.0,118464.1] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),tc_nat)*.
% 300.07/300.45 206622[18:Rew:203026.0,118227.1] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),tc_nat)*.
% 300.07/300.45 206623[18:Rew:203026.0,117990.1] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),tc_nat)*.
% 300.07/300.45 206624[18:Rew:203026.0,117577.1] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),tc_nat)*.
% 300.07/300.45 206625[18:Rew:203026.0,117339.1] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),tc_nat)*.
% 300.07/300.45 206626[18:Rew:203026.0,118480.1] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),v_G)** -> .
% 300.07/300.45 206627[18:Rew:203026.0,118243.1] class_Orderings_Obot(u) || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),v_G)** -> .
% 300.07/300.45 206628[18:Rew:203026.0,118006.1] class_HOL_Oord(u) || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),v_G)** -> .
% 300.07/300.45 206629[18:Rew:203026.0,117593.1] class_Orderings_Opreorder(u) || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),v_G)** -> .
% 300.07/300.45 206630[18:Rew:203026.0,117355.1] class_Orderings_Oorder(u) || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat)),v_G)** -> .
% 300.07/300.45 206640[18:Rew:203026.0,120007.1] || -> c_Finite__Set_Ofinite(v_U,u) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Set_Oimage(v,v_U,tc_Com_Opname,u)),tc_nat)*.
% 300.07/300.45 206641[18:Rew:203026.0,120023.0] || equal(c_Suc(c_Set_Oimage(u,v_U,tc_Com_Opname,v)),v_G)** -> c_Finite__Set_Ofinite(v_U,v).
% 300.07/300.45 206757[18:Rew:203026.0,121974.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 206758[18:Rew:203026.0,122719.0] || -> c_lessequals(v_G,c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.07/300.45 206802[18:Rew:203026.0,142543.1] || c_in(u,v,w)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(v,u)),tc_nat)*.
% 300.07/300.45 206810[18:Rew:203026.0,142595.1] || c_in(u,v,w)* equal(c_Suc(hAPP(v,u)),v_G)** -> .
% 300.07/300.45 206830[18:Rew:203026.0,142918.1] || c_in(u,v,w)* c_HOL_Oord__class_Oless(hAPP(v,u),v_G,tc_nat)* -> .
% 300.07/300.45 206853[18:Rew:203026.0,144823.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat)),tc_nat)*.
% 300.07/300.45 206854[18:Rew:203026.0,144839.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat)),v_G)** -> .
% 300.07/300.45 206887[18:Rew:203026.0,151256.1] || -> hBOOL(hAPP(v_U,u)) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Set_Oinsert(u,v,w)),tc_nat)*.
% 300.07/300.45 206888[18:Rew:203026.0,157745.0] || equal(c_Suc(c_Set_Oinsert(u,v,w)),v_G)** -> c_in(u,v_U,w).
% 300.07/300.45 206889[18:Rew:203026.0,151272.0] || equal(c_Suc(c_Set_Oinsert(u,v,w)),v_G)** -> hBOOL(hAPP(v_U,u)).
% 300.07/300.45 206891[18:Rew:203026.0,157394.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a))),tc_nat)*.
% 300.07/300.45 206892[18:Rew:203026.0,157410.0] || equal(c_Suc(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a))),v_G)** -> .
% 300.07/300.45 206893[18:Rew:203026.0,157437.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a))),tc_nat)*.
% 300.07/300.45 206894[18:Rew:203026.0,157453.0] || equal(c_Suc(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a))),v_G)** -> .
% 300.07/300.45 206896[18:Rew:203026.0,157729.1] || -> c_in(u,v_U,v) c_HOL_Oord__class_Oless(v_G,c_Suc(c_Set_Oinsert(u,w,v)),tc_nat)*.
% 300.07/300.45 206905[18:Rew:203026.0,158267.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat)),tc_nat)*.
% 300.07/300.45 206906[18:Rew:203026.0,158283.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat)),v_G)** -> .
% 300.07/300.45 206989[18:Rew:203026.0,160437.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 206996[18:Rew:203026.0,161714.0] || c_HOL_Oord__class_Oless(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_G,tc_nat)* -> .
% 300.07/300.45 207007[18:Rew:203026.0,161748.0] || c_HOL_Oord__class_Oless(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_G,tc_nat)* -> .
% 300.07/300.45 207035[18:Rew:203026.0,164198.1] || -> c_lessequals(u,c_Suc(v),tc_nat)* c_lessequals(v_G,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.07/300.45 207088[18:Rew:203026.0,168490.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat)),tc_nat)*.
% 300.07/300.45 207089[18:Rew:203026.0,168506.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat)),v_G)** -> .
% 300.07/300.45 207141[18:Rew:203026.0,180550.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)),tc_nat)*.
% 300.07/300.45 207142[18:Rew:203026.0,180572.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)),v_G)** -> .
% 300.07/300.45 207145[18:Rew:203026.0,181026.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)),tc_nat)*.
% 300.07/300.45 207146[18:Rew:203026.0,181045.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)),v_G)** -> .
% 300.07/300.45 207181[18:Rew:203026.0,185509.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U),tc_nat),tc_nat)*.
% 300.07/300.45 207184[18:Rew:203026.0,185571.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 207187[18:Rew:203026.0,185769.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),v_G,tc_nat)* -> .
% 300.07/300.45 207207[18:Rew:203026.0,188418.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 207212[18:Rew:203026.0,188991.0] || -> c_lessequals(v_G,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 207243[18:Rew:203026.0,191382.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat),tc_nat),v_U)**.
% 300.07/300.45 207442[18:Rew:203026.0,203562.2] || equal(c_Suc(u),v)* -> equal(v,v_G) c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 207443[18:Rew:203026.0,203565.2] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> equal(v,v_G) c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.07/300.45 207445[18:Rew:203026.0,203845.1] || c_lessequals(u,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 207446[18:Rew:203026.0,204219.1] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v_U,tc_bool)* -> c_lessequals(u,v_G,tc_nat).
% 300.07/300.45 207447[18:Rew:203026.0,204430.1] || -> equal(c_Suc(c_Suc(u)),c_Suc(v_G)) c_lessequals(c_Suc(v_G),c_Suc(u),tc_nat)*.
% 300.07/300.45 207450[18:Rew:203026.0,204848.1] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) equal(v_G,u) c_HOL_Oord__class_Oless(v_G,u,tc_nat)*.
% 300.07/300.45 207451[18:Rew:203026.0,204865.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* equal(v_G,u) c_HOL_Oord__class_Oless(v_G,u,tc_nat).
% 300.07/300.45 207454[18:Rew:203026.0,205422.2] || c_lessequals(u,v_G,tc_nat)* -> c_lessequals(u,v,tc_nat)* equal(v_G,u).
% 300.07/300.45 207457[18:Rew:203026.0,206448.0] || c_lessequals(tc_fun(u,tc_bool),v_G,tc_nat)* -> equal(tc_fun(u,tc_bool),v_G).
% 300.07/300.45 207490[18:Rew:203026.0,204929.2,203026.0,204929.0] || c_lessequals(u,v_G,tc_nat)* -> equal(c_Suc(u),v_G) equal(v_G,u).
% 300.07/300.45 207495[18:Rew:203026.0,205976.0] || -> equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_G)** equal(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v_U).
% 300.07/300.45 217923[17:Res:199718.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 224148[18:Res:203049.1,102603.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_G,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 225273[18:Res:225072.1,514.0] || c_lessequals(u,v_G,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) equal(v_G,u).
% 300.07/300.45 227436[18:Rew:77124.0,227167.2] || equal(u,v_G) -> equal(v,v_U) c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.07/300.45 227459[18:Rew:77124.0,227354.1] || equal(c_Suc(u),v_G)** equal(v,u)* -> equal(v,v_U)*.
% 300.07/300.45 227929[18:Res:1585.0,203891.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))))),tc_nat)*.
% 300.07/300.45 229522[18:SpL:204017.0,25766.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))** -> .
% 300.07/300.45 230395[18:Res:204290.1,43104.0] || c_lessequals(v_G,u,tc_nat) equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v)** -> .
% 300.07/300.45 230400[18:Res:204290.1,270.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.07/300.45 230789[18:Res:204291.1,43104.0] || c_lessequals(v_G,u,tc_nat) equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v)** -> .
% 300.07/300.45 230794[18:Res:204291.1,270.0] || c_lessequals(v_G,u,tc_nat) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.07/300.45 230994[18:Res:25765.1,225332.0] || equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),tc_nat))),c_Suc(v_G))** -> .
% 300.07/300.45 231767[17:Res:202509.1,89259.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 231768[17:Res:202509.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 231769[17:Res:202509.1,77320.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 232235[18:Res:266.1,204373.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.07/300.45 234420[18:Rew:203030.0,234379.0,323.0,234379.0,380.0,234379.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(v_G)),tc_nat)))),tc_nat)*.
% 300.07/300.45 235458[18:Rew:203030.0,235419.0,380.0,235419.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat))))),tc_nat)*.
% 300.07/300.45 235619[18:Rew:203030.0,235578.0,380.0,235578.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat)))),u,tc_nat)* -> .
% 300.07/300.45 235620[18:Rew:203030.0,235579.0,380.0,235579.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat))))),tc_nat)*.
% 300.07/300.45 235727[18:Res:39025.1,205155.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u))** -> c_lessequals(v_G,v,tc_nat).
% 300.07/300.45 235732[18:Res:1638.0,205155.0] || -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u),tc_nat)* c_lessequals(v_G,v,tc_nat).
% 300.07/300.45 235758[18:Res:269.1,205155.0] || c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.07/300.45 236665[18:Res:485.1,205338.0] || -> c_lessequals(c_Suc(u),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* c_lessequals(v,v_G,tc_nat).
% 300.07/300.45 236689[18:Res:39025.1,205338.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v))** -> c_lessequals(u,v_G,tc_nat).
% 300.07/300.45 236694[18:Res:1638.0,205338.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* c_lessequals(v,v_G,tc_nat).
% 300.07/300.45 238012[18:SpR:205502.0,175038.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v,tc_nat)* c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 238039[18:SpR:205502.0,175066.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_G,u,tc_nat),v,tc_nat)* c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.07/300.45 238083[18:SpR:205502.0,29824.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_lessequals(c_HOL_Ominus__class_Ominus(v_G,w,tc_nat),u,tc_nat)*.
% 300.07/300.45 238206[18:SpL:205502.0,175058.0] || equal(u,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))* -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.07/300.45 239190[18:Res:205568.1,1563.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))),u,tc_nat)* -> .
% 300.07/300.45 239293[18:Rew:203030.0,239230.0,380.0,239230.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v_G),tc_nat)))),u,tc_nat)* -> .
% 300.07/300.45 239420[18:SpR:239415.1,277.0] || equal(u,v_G) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(v_G),tc_nat)*.
% 300.07/300.45 239474[18:SpR:239415.1,77221.0] || equal(u,v_G) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(v_G)),tc_nat),v_U)**.
% 300.07/300.45 239486[18:SpR:239415.1,2504.0] || equal(u,v_G) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(v_G),tc_nat)*.
% 300.07/300.45 240053[18:SpR:239415.1,277.0] || equal(u,v_G) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),c_Suc(u),tc_nat)*.
% 300.07/300.45 240276[18:SpR:239415.1,203095.0] || equal(u,v_G) -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 240277[18:SpR:239415.1,203131.0] || equal(u,v_G) -> c_lessequals(c_Suc(u),c_Suc(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 240294[18:SpL:239415.1,1563.0] || equal(u,v_G) c_lessequals(c_Suc(c_Suc(c_Suc(v_G))),u,tc_nat)* -> .
% 300.07/300.45 240946[18:SpL:239415.1,203096.0] || equal(u,v_G) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 241627[17:Res:219779.1,89259.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 241628[17:Res:219779.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,v_G,tc_bool).
% 300.07/300.45 241629[17:Res:219779.1,77320.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 241658[18:Res:195.1,223443.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || equal(c_Suc(c_HOL_Oplus__class_Oplus(v_G,c_HOL_Oone__class_Oone(tc_bool),tc_bool)),v_G)** -> .
% 300.07/300.45 241692[18:Res:39079.1,223826.0] || equal(v_G,u) c_lessequals(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 242088[18:Res:25765.1,225527.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) c_HOL_Oord__class_Oless(v_G,u,tc_bool)* -> .
% 300.07/300.45 242091[18:Res:82.1,225527.0] || c_HOL_Oord__class_Oless(v_G,u,tc_bool)* -> equal(u,v_G) c_HOL_Oord__class_Oless(v_G,u,tc_nat).
% 300.07/300.45 242351[18:SpL:205636.0,25766.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(v,v_G,tc_nat))** -> .
% 300.07/300.45 242521[18:SpL:580.1,238175.0] || c_lessequals(u,v_G,tc_nat) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.07/300.45 242540[18:SpL:203200.1,238175.0] || c_lessequals(c_Suc(u),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> equal(u,v_U).
% 300.07/300.45 242761[17:SpR:322.0,199715.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)),tc_nat)*.
% 300.07/300.45 242777[17:Res:199715.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 242778[17:Res:199715.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 242779[17:Res:199715.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 242802[17:Res:199715.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_nat)),c_Suc(u))** -> .
% 300.07/300.45 242961[18:Res:266.1,205963.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),u,tc_nat)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.07/300.45 243374[18:Res:485.1,206026.0] || -> c_lessequals(c_Suc(u),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(v,v_G,tc_nat).
% 300.07/300.45 243398[18:Res:39025.1,206026.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(u))** -> c_lessequals(v,v_G,tc_nat).
% 300.07/300.45 243403[18:Res:1638.0,206026.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(v,v_G,tc_nat).
% 300.07/300.45 243595[17:SpR:632.1,243122.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.07/300.45 243696[17:Res:243187.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),tc_nat),tc_bool)*.
% 300.07/300.45 243697[17:Res:243187.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),tc_nat),v_U)** -> .
% 300.07/300.45 243698[17:Res:243187.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat),tc_nat),tc_nat)*.
% 300.07/300.45 243759[17:SpL:632.1,243266.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)* equal(v,v_U) -> .
% 300.07/300.45 245335[18:Res:39025.1,229610.0] || equal(c_Suc(u),v)* -> equal(c_Suc(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat)),v)**.
% 300.07/300.45 245340[18:Res:1638.0,229610.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),u)**.
% 300.07/300.45 245443[18:Res:269.1,229610.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> equal(c_Suc(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat)),v)**.
% 300.07/300.45 245455[18:Rew:245286.1,229101.0] || -> c_lessequals(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 245485[18:Rew:245286.1,229090.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 245500[18:Rew:245340.1,227903.0] || -> c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.07/300.45 245531[18:Rew:245443.1,228297.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.07/300.45 246143[18:Rew:207393.0,246142.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.07/300.45 246866[18:Rew:246143.0,246865.0,246444.0,246865.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.07/300.45 247369[7:Res:7802.1,89259.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u)** c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.07/300.45 247370[7:Res:7802.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u)**.
% 300.07/300.45 247371[7:Res:7802.1,77320.0] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u)** c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.07/300.45 249286[18:Res:207254.0,12115.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool))),tc_nat)* c_HOL_Oord__class_Oless(v_G,u,tc_nat).
% 300.07/300.45 249292[18:Res:203145.0,12115.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat)* c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.45 249293[18:Res:203144.1,12115.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat)* c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.07/300.45 249327[18:Res:203095.0,12115.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)* c_HOL_Oord__class_Oless(c_Suc(v_G),u,tc_nat).
% 300.07/300.45 249345[17:Res:219746.0,12115.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 249346[18:Res:203082.1,12115.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 249347[17:Res:200985.1,12115.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.07/300.45 249862[18:Res:203131.0,12118.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(tc_fun(v,tc_bool)),tc_nat)* c_lessequals(c_Suc(v_G),u,tc_nat).
% 300.07/300.45 249953[18:Res:225072.1,12118.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_nat)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 249956[18:Res:207385.1,12118.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v,u,tc_nat)* c_lessequals(v_G,v,tc_nat)*.
% 300.07/300.45 249962[18:Res:203344.0,12118.0] || -> c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)* c_lessequals(v_G,u,tc_nat).
% 300.07/300.45 250233[18:Res:203131.0,12188.0] || -> c_HOL_Oord__class_Oless(c_Suc(v_G),u,tc_nat) c_lessequals(u,c_Suc(tc_fun(v,tc_bool)),tc_nat)*.
% 300.07/300.45 250324[18:Res:225072.1,12188.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_bool) c_HOL_Oord__class_Oless(v_G,v,tc_nat) c_lessequals(v,u,tc_nat)*.
% 300.07/300.45 250326[18:Res:203068.1,12188.0] || -> c_lessequals(u,v,tc_nat)* c_HOL_Oord__class_Oless(v_G,w,tc_nat) c_lessequals(w,u,tc_nat)*.
% 300.07/300.45 250327[18:Res:207385.1,12188.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_G,v,tc_nat) c_lessequals(v,u,tc_nat)*.
% 300.07/300.45 250333[18:Res:203344.0,12188.0] || -> c_HOL_Oord__class_Oless(v_G,u,tc_nat) c_lessequals(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.07/300.45 251305[17:SpR:323.0,242753.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),u,tc_nat)),tc_nat)*.
% 300.07/300.45 251363[17:Res:242753.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v,tc_nat)),c_Suc(v))** -> .
% 300.07/300.45 251436[17:SpL:143013.1,242800.0] || c_lessequals(u,v_U,tc_nat)* equal(c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),u)* -> .
% 300.07/300.45 252065[18:Res:250314.1,77275.0] || -> c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat)* equal(v_U,v).
% 300.07/300.45 252929[18:Res:245473.1,25636.0] || equal(u,v) equal(c_Suc(c_Suc(c_Suc(c_Suc(v)))),u)* -> .
% 300.07/300.45 252976[18:Res:245473.1,1716.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 252977[18:Res:245473.1,1614.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.07/300.45 254711[18:Res:203398.0,223826.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.07/300.45 254783[18:Res:203400.0,223826.0] || c_lessequals(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_U,tc_bool)* -> .
% 300.07/300.45 254819[18:Res:203401.0,223826.0] || c_lessequals(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),v_U,tc_bool)* -> .
% 300.07/300.45 254936[0:Res:541.0,763.1] || c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),u,t_a),v_G,tc_fun(t_a,tc_bool))* -> .
% 300.07/300.45 255196[19:Rew:255036.0,35572.0] || equal(c_Finite__Set_Ocard(c_Set_Oimage(u,v_U,tc_Com_Opname,v),v),c_Suc(c_Suc(v_G)))** -> .
% 300.07/300.45 255225[19:Rew:255036.0,240282.1] || equal(u,v_G) -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(v_G)),tc_nat)*.
% 300.07/300.45 255226[19:Rew:255036.0,240953.1] || equal(u,v_G) c_lessequals(c_Suc(c_Suc(v_G)),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 255362[19:Rew:255036.0,79317.0] || c_lessequals(v_G,u,tc_nat) c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U,tc_nat)* -> .
% 300.07/300.45 256929[19:MRR:256920.0,620.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),v_G,tc_nat),v_G,tc_nat)*.
% 300.07/300.45 258263[19:Res:255192.1,203043.0] || c_HOL_Oord__class_Oless(u,v_U,tc_fun(tc_Com_Opname,tc_bool))* -> equal(c_Finite__Set_Ocard(u,tc_Com_Opname),v_U).
% 300.07/300.45 258389[20:Res:258317.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),tc_nat),tc_bool)*.
% 300.07/300.45 258390[20:Res:258317.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),tc_nat),v_U)** -> .
% 300.07/300.45 258391[20:Res:258317.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oimage(v_U,v_U,tc_Com_Opname,u),v_G),tc_nat),tc_nat)*.
% 300.07/300.45 3373[0:Res:1936.0,563.1] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))))),u,tc_nat)* -> .
% 300.07/300.45 3591[0:SpL:323.0,1968.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 3637[0:SpL:323.0,1984.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(v),tc_nat)* -> .
% 300.07/300.45 3697[0:SpL:322.0,2049.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 3743[0:SpL:322.0,2068.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(u),tc_nat)* -> .
% 300.07/300.45 3782[0:SpR:322.0,2081.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3807[0:SpR:323.0,2092.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3836[0:SpR:323.0,2153.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3856[0:Rew:323.0,3844.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),v,tc_nat)* -> .
% 300.07/300.45 3864[0:SpR:322.0,2169.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),tc_nat)*.
% 300.07/300.45 3883[0:Rew:322.0,3871.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),u,tc_nat)* -> .
% 300.07/300.45 3971[0:SpR:322.0,2606.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat)*.
% 300.07/300.45 3996[0:SpR:322.0,2607.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat)*.
% 300.07/300.45 4021[0:SpL:322.0,2622.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(c_Suc(u)),tc_nat)* -> .
% 300.07/300.45 4071[0:SpL:322.0,2624.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(c_Suc(u)),tc_nat)* -> .
% 300.07/300.45 4122[0:SpR:322.0,2647.0] || -> c_lessequals(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),tc_nat)*.
% 300.07/300.45 4309[0:SpR:323.0,2785.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat)*.
% 300.07/300.45 4334[0:SpR:323.0,2786.0] || -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat)*.
% 300.07/300.45 4426[0:SpR:323.0,2789.0] || -> c_lessequals(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 4487[0:SpL:323.0,2814.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(c_Suc(v)),tc_nat)* -> .
% 300.07/300.45 4533[0:SpL:323.0,2816.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_Suc(c_Suc(v)),tc_nat)* -> .
% 300.07/300.45 4618[0:Res:1936.0,1614.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))))),tc_nat)*.
% 300.07/300.45 4649[0:Rew:323.0,4619.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))))),tc_nat)*.
% 300.07/300.45 4650[0:Rew:322.0,4620.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))))),tc_nat)*.
% 300.07/300.45 4727[0:Res:1936.0,1716.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))))),tc_nat)*.
% 300.07/300.45 4758[0:Rew:323.0,4728.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))))),tc_nat)*.
% 300.07/300.45 4759[0:Rew:322.0,4729.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))))),tc_nat)*.
% 300.07/300.45 4768[0:Res:2235.0,1615.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 4811[0:Res:2281.0,1615.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 4848[0:Res:2287.1,563.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* c_lessequals(c_Suc(v),u,tc_nat) -> .
% 300.07/300.45 4856[0:Res:2287.1,1882.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))))),u,tc_nat)* -> .
% 300.07/300.45 4874[0:Rew:322.0,4857.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),u,tc_nat)* -> .
% 300.07/300.45 4863[0:Res:2287.1,1716.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.07/300.45 4864[0:Res:2287.1,1614.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat).
% 300.07/300.45 4875[0:Rew:323.0,4869.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),v,tc_nat)* -> .
% 300.07/300.45 4895[0:Res:2328.0,563.1] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat).
% 300.07/300.45 4909[0:Res:2328.0,1716.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 4926[0:Res:2329.0,563.1] || c_lessequals(c_Suc(c_Suc(u)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat).
% 300.07/300.45 4940[0:Res:2329.0,1716.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.07/300.45 4962[0:SpR:2633.0,1555.0] || -> c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 4963[0:SpR:2633.0,1593.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))),tc_nat)*.
% 300.07/300.45 5359[0:Rew:322.0,5189.0] || -> equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))*.
% 300.07/300.45 5213[0:SpL:2633.0,1547.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> .
% 300.07/300.45 5225[0:SpL:2633.0,1562.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> .
% 300.07/300.45 5450[0:SpR:322.0,2611.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),v,tc_nat),c_Suc(c_Suc(u)))**.
% 300.07/300.45 5524[0:SpR:323.0,2804.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),u,tc_nat),c_Suc(c_Suc(v)))**.
% 300.07/300.45 6151[0:Res:374.1,3422.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.07/300.45 6357[0:Res:34.1,3422.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 6364[0:Res:34.1,1718.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.07/300.45 6390[0:Rew:4.0,6370.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),v,tc_nat)* -> .
% 300.07/300.45 6371[0:Res:34.1,1677.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),w,tc_nat)* -> .
% 300.07/300.45 6557[0:Res:33.1,3422.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 6564[0:Res:33.1,1718.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.07/300.45 6735[0:Res:369.1,3384.1] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 6747[0:Res:369.1,1676.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),v,tc_nat)* -> .
% 300.07/300.45 6960[0:Res:368.1,3384.1] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat)* -> .
% 300.07/300.45 6972[0:Res:368.1,1676.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),w,tc_nat)* -> .
% 300.07/300.45 7123[0:Res:1612.1,32.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.07/300.45 7143[0:Res:1812.0,32.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)))),tc_nat)*.
% 300.07/300.45 7148[0:Res:3229.0,32.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(u)),tc_nat).
% 300.07/300.45 7149[0:Res:3113.0,32.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(u)),tc_nat).
% 300.07/300.45 7268[0:Res:1821.0,367.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)))),tc_nat)*.
% 300.07/300.45 7274[0:Res:2935.1,367.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(u,c_Suc(w),tc_nat).
% 300.07/300.45 7275[0:Res:1850.0,367.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.07/300.45 7289[0:Res:1839.1,367.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(v,c_Suc(u),tc_nat).
% 300.09/300.45 7295[0:Res:3219.0,367.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(v,c_Suc(c_Suc(u)),tc_nat).
% 300.09/300.45 7383[0:Res:7310.0,367.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(u,x,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 7488[0:Res:4625.1,3366.0] || c_lessequals(c_Suc(u),v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.09/300.45 7489[0:Res:4625.1,1615.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 7551[0:Res:7310.0,366.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(x,u,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 7558[0:Res:1821.0,366.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)))),tc_nat)*.
% 300.09/300.45 7564[0:Res:2935.1,366.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_lessequals(v,c_Suc(w),tc_nat).
% 300.09/300.45 7565[0:Res:1850.0,366.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(w,c_Suc(u),tc_nat).
% 300.09/300.45 7579[0:Res:1839.1,366.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(w,c_Suc(u),tc_nat).
% 300.09/300.45 7585[0:Res:3219.0,366.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)* c_lessequals(w,c_Suc(c_Suc(u)),tc_nat).
% 300.09/300.45 7616[0:Res:4683.1,3366.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.09/300.45 7617[0:Res:4683.1,1615.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 7641[0:Res:4683.1,3414.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.09/300.45 7678[0:Res:4734.1,1716.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 7745[0:Rew:322.0,7699.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.09/300.45 7927[0:Rew:322.0,7887.0] || -> c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))),tc_nat)*.
% 300.09/300.45 7959[0:Rew:322.0,7938.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)))** -> .
% 300.09/300.45 8107[0:Rew:323.0,8046.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),c_Suc(w),tc_nat)* -> .
% 300.09/300.45 8113[0:Rew:323.0,8082.0,323.0,8082.0,323.0,8082.0,323.0,8082.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)))),tc_nat)*.
% 300.09/300.45 8188[0:Rew:323.0,8128.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)),c_Suc(v),tc_nat)* -> .
% 300.09/300.45 8254[0:Rew:323.0,8204.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 8312[0:Rew:323.0,8269.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 8369[0:Rew:323.0,8325.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 8433[0:Rew:323.0,8382.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 8486[0:Rew:322.0,8446.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)* -> .
% 300.09/300.45 8498[0:SpR:322.0,7257.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(c_Suc(v),u,tc_nat).
% 300.09/300.45 8741[0:SpR:322.0,7285.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(c_Suc(v),u,tc_nat).
% 300.09/300.45 8773[0:Res:7285.0,3568.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.09/300.45 9059[0:SpR:323.0,7545.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(c_Suc(w),u,tc_nat).
% 300.09/300.45 9107[0:SpR:323.0,7575.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)* c_lessequals(c_Suc(w),u,tc_nat).
% 300.09/300.45 9142[0:Res:7575.0,3568.0] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.09/300.45 11991[0:SpR:519.0,3896.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),tc_nat)*.
% 300.09/300.45 12003[0:Res:3896.0,3422.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.09/300.45 12063[0:SpR:225.0,2641.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),c_Suc(u),tc_nat)*.
% 300.09/300.45 12084[0:SpR:225.0,2608.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(v),c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.09/300.45 12085[0:SpR:225.0,2609.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(v),c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.09/300.45 12086[0:SpR:225.0,3731.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat)*.
% 300.09/300.45 12087[0:SpR:225.0,3734.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),tc_nat)*.
% 300.09/300.45 12090[0:SpR:225.0,2719.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.09/300.45 12091[0:SpR:225.0,2744.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),c_Suc(c_Suc(c_Suc(u))),tc_nat)*.
% 300.09/300.45 12163[0:SpL:225.0,3392.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.45 12165[0:SpL:225.0,3730.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.45 12166[0:SpL:225.0,2627.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),c_Suc(v),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.45 12167[0:SpL:225.0,2628.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),c_Suc(v),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.45 12174[0:SpL:225.0,2765.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(v)),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.45 12329[0:Res:12080.1,3366.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.09/300.45 12330[0:Res:12080.1,1615.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.09/300.45 12359[0:Res:12080.1,3414.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.09/300.45 12413[0:Res:12081.1,1716.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_Suc(c_Suc(c_Suc(c_Suc(u)))),tc_nat)*.
% 300.09/300.45 12736[0:SpR:323.0,12106.1] || -> c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) c_lessequals(v,c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.09/300.45 12755[0:Res:12106.1,5634.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat).
% 300.09/300.45 12756[0:Res:12106.1,563.1] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w,tc_nat)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat).
% 300.09/300.45 12774[0:Res:12106.1,1716.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.09/300.45 12775[0:Res:12106.1,1614.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.09/300.45 12782[0:Res:12106.1,12156.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.09/300.45 12944[0:SpR:322.0,12730.1] || -> c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) c_lessequals(v,c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)),tc_nat)*.
% 300.09/300.45 12981[0:Res:12730.1,1716.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) c_lessequals(v,c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)),tc_nat)*.
% 300.09/300.45 13213[0:SpR:519.0,4293.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),tc_nat)*.
% 300.09/300.45 13861[0:Res:3219.0,3358.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.09/300.45 14018[0:Res:3219.0,3362.0] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.09/300.45 14249[0:Res:12106.1,14023.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat) c_lessequals(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.09/300.45 18055[0:SpR:632.1,2081.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(v)))),tc_nat)*.
% 300.09/300.45 18056[0:SpR:632.1,2169.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(v)))),tc_nat)*.
% 300.09/300.45 18061[0:SpR:632.1,2606.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 18062[0:SpR:632.1,2607.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 18067[0:SpR:632.1,2647.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_Suc(c_Suc(u)),c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.45 18087[0:SpR:632.1,7125.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.09/300.45 18100[0:SpR:632.1,7257.0] || c_lessequals(u,v,tc_nat)* -> c_lessequals(w,v,tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 18149[0:SpL:632.1,2049.0] || c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(c_Suc(v))),u,tc_nat)* -> .
% 300.09/300.45 18150[0:SpL:632.1,2068.0] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(v))),u,tc_nat)* -> .
% 300.09/300.45 18159[0:SpL:632.1,2622.0] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),c_Suc(u),tc_nat)* -> .
% 300.09/300.45 18160[0:SpL:632.1,2624.0] || c_lessequals(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(v)),c_Suc(u),tc_nat)* -> .
% 300.09/300.45 18781[0:SpL:225.0,6386.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_HOL_Oord__class_Oless(v,w,tc_nat).
% 300.09/300.45 18904[0:SpL:225.0,6746.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_HOL_Oord__class_Oless(v,w,tc_nat).
% 300.09/300.45 19260[0:SpR:225.0,7145.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))),tc_nat)*.
% 300.09/300.45 19363[0:SpR:225.0,7270.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(v,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))),tc_nat)*.
% 300.09/300.45 19886[0:SpR:225.0,7351.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(v),c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.09/300.45 21094[0:Res:1622.0,460.0] || c_lessequals(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.09/300.45 21123[0:Res:2504.0,460.0] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v,tc_nat)*.
% 300.09/300.45 25663[5:SpL:2633.0,25634.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),c_HOL_Oplus__class_Oplus(v,u,tc_nat))** -> .
% 300.09/300.45 28649[0:SpR:383.0,2547.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)))),tc_nat)*.
% 300.09/300.45 28650[0:SpR:383.0,2567.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)))),tc_nat)*.
% 300.09/300.45 28729[0:SpL:383.0,3430.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> .
% 300.09/300.45 28736[5:SpL:383.0,25776.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)))))* -> .
% 300.09/300.45 28737[5:SpL:383.0,25823.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> .
% 300.09/300.45 28849[5:Res:368.1,24119.0] || c_lessequals(u,v,tc_nat)* equal(c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),u)* -> .
% 300.09/300.45 28853[5:Res:369.1,24119.0] || c_lessequals(u,v,tc_nat)* equal(c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),u)* -> .
% 300.09/300.45 28891[5:Res:4293.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),c_HOL_Ominus__class_Ominus(u,v,tc_nat))* -> .
% 300.09/300.45 28893[5:Res:3085.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))))),u)** -> .
% 300.09/300.45 28894[5:Res:3626.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))))),v)** -> .
% 300.09/300.45 28895[5:Res:3731.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))))),u)** -> .
% 300.09/300.45 28898[5:Res:4713.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(u))),v) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.45 28899[5:Res:4712.1,24119.0] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* equal(c_Suc(c_Suc(c_Suc(v))),u) -> .
% 300.09/300.45 28900[5:Res:4604.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(u))),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.45 28901[5:Res:3359.1,24119.0] || c_lessequals(c_Suc(u),v,tc_nat)* equal(c_Suc(c_Suc(c_Suc(v))),u) -> .
% 300.09/300.45 28907[5:Res:7270.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)))),v)** -> .
% 300.09/300.45 28908[5:Res:7401.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)))),w)** -> .
% 300.09/300.45 28911[5:Res:4730.1,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v)* -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.09/300.45 28924[5:Res:2609.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),c_Suc(u))** -> .
% 300.09/300.45 28925[5:Res:2788.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))))),c_Suc(v))** -> .
% 300.09/300.45 28929[5:Res:2744.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(c_Suc(u)))** -> .
% 300.09/300.45 28930[5:Res:2849.0,24119.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),c_Suc(c_Suc(v)))** -> .
% 300.09/300.45 28936[5:Res:7351.0,24119.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),c_Suc(v))** -> .
% 300.09/300.45 28937[5:Res:7398.0,24119.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat))),c_Suc(w))** -> .
% 300.09/300.45 29051[5:Res:25637.1,32.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),w)* -> c_HOL_Oord__class_Oless(u,w,tc_nat)*.
% 300.09/300.45 29076[5:Res:25637.1,4762.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.09/300.45 29094[5:Res:25637.1,3573.1] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.09/300.45 29095[5:Res:25637.1,3437.1] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(v))* c_lessequals(v,u,tc_nat)* -> .
% 300.09/300.45 29102[5:Res:25637.1,7608.1] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v)* c_HOL_Oord__class_Oless(v,u,tc_nat)* -> .
% 300.09/300.45 29103[5:Res:25637.1,7480.1] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),v)* c_lessequals(v,u,tc_nat)* -> .
% 300.09/300.45 29126[0:SpR:382.0,2547.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)))),tc_nat)*.
% 300.09/300.45 29127[0:SpR:382.0,2567.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)))),tc_nat)*.
% 300.09/300.45 29206[0:SpL:382.0,3430.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.09/300.45 29213[5:SpL:382.0,25776.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat)))))* -> .
% 300.09/300.45 29214[5:SpL:382.0,25823.0] || c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.09/300.45 29257[5:Res:34.1,25740.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),u)* -> .
% 300.09/300.45 29261[5:Res:33.1,25740.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),u)* -> .
% 300.09/300.45 29280[5:Res:12082.1,25740.1] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),v)* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.45 29341[5:Res:374.1,25740.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Suc(v),c_HOL_Ominus__class_Ominus(u,w,tc_nat))* -> .
% 300.09/300.45 29400[5:Res:25750.1,366.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(w))* -> c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 29401[5:Res:25750.1,367.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(w))* -> c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 29459[5:SpL:383.0,29392.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))))* -> .
% 300.09/300.45 29460[5:SpL:382.0,29392.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))))* -> .
% 300.09/300.45 29525[5:Res:25762.1,366.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),w)* -> c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 29526[5:Res:25762.1,367.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),w)* -> c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 29660[0:Rew:18.0,29577.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat))),tc_nat)*.
% 300.09/300.45 29661[5:Rew:18.0,29578.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat))),tc_nat)*.
% 300.09/300.45 29671[5:Rew:18.0,29638.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat))),c_HOL_Ominus__class_Ominus(u,v,tc_nat))** -> .
% 300.09/300.45 29672[0:Rew:18.0,29639.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat)),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* -> .
% 300.09/300.45 29742[0:SpR:383.0,28644.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(x,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 29743[0:SpR:382.0,28644.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(u,x,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 34182[0:Res:1555.0,206.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),v,tc_nat),tc_nat)*.
% 300.09/300.45 34612[0:Rew:37.0,34513.0,322.0,34513.0,322.0,34513.0,322.0,34513.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)))),tc_nat)*.
% 300.09/300.45 34648[0:Rew:37.0,34565.0,322.0,34565.0,322.0,34565.0,18.0,34565.0,380.0,34565.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 34888[0:Res:1593.0,654.0] || -> c_lessequals(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),v,tc_nat),tc_nat)*.
% 300.09/300.45 35054[0:Res:34600.0,3358.1] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.09/300.45 35067[0:Res:34600.0,366.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(w,u,tc_nat),v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 35068[0:Res:34600.0,367.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,w,tc_nat),v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 35070[0:Res:34600.0,3362.0] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.09/300.45 35077[0:Res:34600.0,5627.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(u)),v,tc_nat),tc_nat)),tc_nat)*.
% 300.09/300.45 35078[0:Res:34600.0,3374.0] || -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(u)),v,tc_nat),tc_nat)),tc_nat)*.
% 300.09/300.45 35546[5:Res:12093.1,25636.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),c_Suc(v))* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.45 35577[5:Res:12106.1,25636.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),w)* -> c_HOL_Oord__class_Oless(v,w,tc_nat)*.
% 300.09/300.45 35753[5:Res:2586.0,25748.1] || equal(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))),c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)))* -> .
% 300.09/300.45 35813[5:Res:331.1,25748.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Suc(c_Suc(v)),c_Suc(c_Suc(u))) -> .
% 300.09/300.45 35818[5:Res:12092.1,25748.1] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_Suc(v)))* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.45 36234[5:Res:25764.1,483.0] || equal(c_Suc(c_Suc(c_Suc(u))),c_Suc(c_Suc(v)))* -> c_lessequals(u,v,tc_nat)*.
% 300.09/300.45 36265[5:Res:25764.1,14023.0] || equal(c_Suc(c_Suc(c_Suc(c_Suc(u)))),c_Suc(v))* -> c_lessequals(u,v,tc_nat)*.
% 300.09/300.45 37060[0:SSi:37050.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat))* -> equal(c_Suc(u),v).
% 300.09/300.45 37405[5:Res:25761.1,25806.1] || equal(c_Suc(c_Suc(u)),v)* equal(c_Suc(c_Suc(c_Suc(v))),u)* -> .
% 300.09/300.45 37594[0:SpR:323.0,28645.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))),tc_nat)*.
% 300.09/300.45 37753[0:SpR:323.0,28646.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))),tc_nat)*.
% 300.09/300.45 37892[0:SpL:323.0,28727.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(c_Suc(v),w,tc_nat),tc_nat)* -> .
% 300.09/300.45 37991[5:SpL:323.0,28733.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat))))* -> .
% 300.09/300.45 38124[0:SpR:632.1,29122.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,w,tc_nat),c_Suc(v),tc_nat)*.
% 300.09/300.45 38127[0:SpR:322.0,29122.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))),tc_nat)*.
% 300.09/300.45 38177[0:SpR:580.1,29122.0] || c_lessequals(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.09/300.45 38242[0:SpR:632.1,29123.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,w,tc_nat),c_Suc(v),tc_nat)*.
% 300.09/300.45 38245[0:SpR:322.0,29123.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))),tc_nat)*.
% 300.09/300.45 38381[0:SpL:632.1,29204.0] || c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v,c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)* -> .
% 300.09/300.45 38384[0:SpL:322.0,29204.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_HOL_Ominus__class_Ominus(c_Suc(u),w,tc_nat),tc_nat)* -> .
% 300.09/300.45 38481[5:SpL:632.1,29210.0] || c_lessequals(u,v,tc_nat)* equal(c_HOL_Ominus__class_Ominus(u,w,tc_nat),c_Suc(v))* -> .
% 300.09/300.45 38484[5:SpL:322.0,29210.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,w,tc_nat))))* -> .
% 300.09/300.45 39100[5:Res:39025.1,460.0] || equal(u,v)* c_lessequals(v,w,tc_nat)* -> c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 39592[5:Res:39149.1,3358.1] || equal(c_Suc(c_Suc(u)),v) c_HOL_Oord__class_Oless(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.09/300.45 39625[5:Res:39149.1,366.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.09/300.45 39626[5:Res:39149.1,367.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.09/300.45 39629[5:Res:39149.1,3362.0] || equal(c_Suc(c_Suc(u)),v) c_lessequals(c_Suc(c_Suc(v)),u,tc_nat)* -> .
% 300.09/300.45 39681[5:Res:39150.1,32.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.09/300.45 40503[0:SpR:542.0,21935.0] || -> c_in(u,c_Set_Oinsert(v,c_Set_Oinsert(w,c_Set_Oinsert(u,x,y),y),y),y)*.
% 300.09/300.45 40509[0:SpR:542.0,21950.0] || -> hBOOL(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,c_Set_Oinsert(w,x,y),y),y),w))*.
% 300.09/300.45 40695[0:Rew:322.0,40610.0] || -> c_lessequals(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 40652[5:Res:34604.0,25636.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)))),v)** -> .
% 300.09/300.45 40666[0:Res:34604.0,1716.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 40667[0:Res:34604.0,1614.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 40816[5:Res:34.1,40721.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u)* -> .
% 300.09/300.45 40820[5:Res:33.1,40721.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u)* -> .
% 300.09/300.45 40824[5:Res:4617.1,40721.1] || equal(c_Suc(c_Suc(u)),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 41039[0:Rew:322.0,40935.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)),c_Suc(v),tc_nat)* -> .
% 300.09/300.45 40961[0:SpL:322.0,35057.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,c_Suc(u),tc_nat),tc_nat)),v,tc_nat)* -> .
% 300.09/300.45 40967[5:Res:25765.1,35057.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat))),c_Suc(v))** -> .
% 300.09/300.45 40985[0:Res:12080.1,35057.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 40989[5:Res:25761.1,35057.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat))),v)** -> .
% 300.09/300.45 41004[0:Res:4683.1,35057.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(v)),u,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.09/300.45 41005[0:Res:4625.1,35057.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(v)),u,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.09/300.45 41340[5:SpL:322.0,35061.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,c_Suc(u),tc_nat),tc_nat))),v)** -> .
% 300.09/300.45 41458[0:Res:35075.0,14023.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(u))),v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 41919[5:Res:35076.0,39085.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(v)),u,tc_nat),tc_nat)),v)** -> .
% 300.09/300.45 42118[5:Res:12106.1,39146.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.09/300.45 42479[5:Rew:322.0,42381.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 42408[5:SpR:322.0,40706.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 42657[5:Res:40755.1,25636.0] || equal(c_Suc(u),v)* equal(c_Suc(c_Suc(c_Suc(c_Suc(v)))),u)* -> .
% 300.09/300.45 42684[5:Res:40755.1,1716.0] || equal(c_Suc(c_Suc(u)),v) -> c_lessequals(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.45 42946[0:SpL:519.0,41013.0] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(c_Suc(v),c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),tc_nat)* -> .
% 300.09/300.45 42981[5:Res:25765.1,41013.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)),c_Suc(c_Suc(v)))** -> .
% 300.09/300.45 43124[5:Res:368.1,43104.0] || c_lessequals(c_Suc(u),v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u)* -> .
% 300.09/300.45 43128[5:Res:369.1,43104.0] || c_lessequals(c_Suc(u),v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u)* -> .
% 300.09/300.45 43398[5:SpL:519.0,42985.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(c_Suc(v)))** -> .
% 300.09/300.45 47980[5:Res:573.1,47969.0] || c_lessequals(u,v,tc_fun(t_a,tc_bool))* equal(hAPP(v_P,v),v_G) -> .
% 300.09/300.45 48028[5:SSi:48010.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)) -> .
% 300.09/300.45 48049[5:Res:585.1,48040.0] || c_in(u,v,w)* equal(c_Set_Oimage(x,v,w,y),v_G)** -> .
% 300.09/300.45 48161[5:SSi:48149.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat))* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.45 48241[5:SSi:48206.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat))* -> c_lessequals(u,v,tc_nat)*.
% 300.09/300.45 50476[5:Res:29824.1,25636.0] || equal(c_Suc(c_Suc(u)),c_HOL_Ominus__class_Ominus(v,w,tc_nat))* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.45 50522[0:SpR:322.0,35691.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 50562[5:Res:35691.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(u))** -> c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 50721[0:SSi:50642.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 50921[5:SpR:323.0,39079.1] || equal(u,c_Suc(v)) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.09/300.45 50946[5:Res:39079.1,39146.1] || equal(c_Suc(u),v)* equal(c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),u)* -> .
% 300.09/300.45 50949[5:Res:39079.1,5634.1] || equal(c_Suc(u),v) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat)* -> .
% 300.09/300.45 50950[5:Res:39079.1,563.1] || equal(c_Suc(u),v) c_lessequals(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat)* -> .
% 300.09/300.45 50959[5:Res:39079.1,25636.0] || equal(u,v) equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat))),u)* -> .
% 300.09/300.45 50984[5:Res:39079.1,1716.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.09/300.45 50985[5:Res:39079.1,1614.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.09/300.45 50995[5:Res:39079.1,14023.0] || equal(c_Suc(c_Suc(u)),v) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.45 50996[5:Res:39079.1,12156.0] || equal(c_Suc(c_Suc(u)),v) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.45 51027[5:SpL:323.0,39136.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_lessequals(c_Suc(v),w,tc_nat)*.
% 300.09/300.45 51077[5:SpL:632.1,39137.0] || c_lessequals(u,v,tc_nat)* equal(v,w)* -> c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 51080[5:SpL:322.0,39137.0] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w)* -> c_lessequals(c_Suc(u),w,tc_nat)*.
% 300.09/300.45 51119[0:SpR:323.0,50511.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 51165[5:Res:50511.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v))** -> c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 51327[0:SSi:51246.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),u,tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 51336[5:SpR:47735.0,411.0] || -> c_in(u,c_Set_Ovimage(v,c_Set_Oinsert(hAPP(v,u),v_G,t_a),w,t_a),w)*.
% 300.09/300.45 51416[5:SpR:322.0,50915.1] || equal(u,c_Suc(v)) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.09/300.45 51436[5:Res:50915.1,39146.1] || equal(c_Suc(u),v)* equal(c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),u)* -> .
% 300.09/300.45 51439[5:Res:50915.1,5634.1] || equal(c_Suc(u),v) c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat)* -> .
% 300.09/300.45 51440[5:Res:50915.1,563.1] || equal(c_Suc(u),v) c_lessequals(c_HOL_Oplus__class_Oplus(v,w,tc_nat),u,tc_nat)* -> .
% 300.09/300.45 51449[5:Res:50915.1,25636.0] || equal(u,v) equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat))),u)* -> .
% 300.09/300.45 51474[5:Res:50915.1,1716.0] || equal(c_Suc(u),v) -> c_lessequals(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.09/300.45 51475[5:Res:50915.1,1614.0] || equal(c_Suc(u),v) -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.09/300.45 51485[5:Res:50915.1,14023.0] || equal(c_Suc(c_Suc(u)),v) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.45 51486[5:Res:50915.1,12156.0] || equal(c_Suc(c_Suc(u)),v) -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.45 61113[0:SSi:60991.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_Suc(v)))),tc_nat)*.
% 300.09/300.45 61659[5:SSi:61521.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(u,v)* c_HOL_Oord__class_Oless(v,w,tc_nat)* -> c_HOL_Oord__class_Oless(u,w,tc_nat)*.
% 300.09/300.45 61678[5:SSi:61636.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_HOL_Oord__class_Oless(u,v,tc_fun(t_a,tc_bool))* -> c_HOL_Oord__class_Oless(v_G,v,tc_fun(t_a,tc_bool))*.
% 300.09/300.45 62023[0:Res:61712.1,15115.0] || c_HOL_Oord__class_Oless(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),w,tc_fun(x,tc_bool))* -> .
% 300.09/300.45 62384[5:SSi:62246.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(u,v)* c_HOL_Oord__class_Oless(w,u,tc_nat)* -> c_HOL_Oord__class_Oless(w,v,tc_nat)*.
% 300.09/300.45 63070[5:SSi:63064.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_lessequals(v_U,u,tc_fun(t_a,tc_bool))* -> c_HOL_Oord__class_Oless(v_G,u,tc_fun(t_a,tc_bool)).
% 300.09/300.45 63308[5:SSi:63089.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_lessequals(u,v_G,tc_fun(t_a,tc_bool))* -> c_HOL_Oord__class_Oless(u,v_U,tc_fun(t_a,tc_bool)).
% 300.09/300.45 64373[0:SSi:64249.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.09/300.45 64426[5:SSi:64349.0,587.0,612.0,616.0,613.0,617.0,614.0,615.1,591.0,612.0,616.0,613.0,617.0,614.0,615.1,592.0,612.0,616.0,613.0,617.0,614.0,615.1,589.0,612.0,616.0,613.0,617.0,614.0,615.1,590.0,612.0,616.0,613.0,617.0,614.0,615.1] || c_lessequals(u,v_G,tc_fun(t_a,tc_bool))* -> c_lessequals(u,v,tc_fun(t_a,tc_bool))*.
% 300.09/300.45 65894[0:SSi:65615.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 65895[0:SSi:65616.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 65896[0:SSi:65635.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)),tc_nat)*.
% 300.09/300.45 65898[0:SSi:65668.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 65899[0:SSi:65669.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat))),tc_nat)*.
% 300.09/300.45 65900[0:SSi:65686.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_lessequals(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),tc_nat)*.
% 300.09/300.45 65904[0:SSi:65781.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* -> .
% 300.09/300.45 65905[0:SSi:65782.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* -> .
% 300.09/300.45 65906[0:SSi:65783.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* -> .
% 300.09/300.45 65907[0:SSi:65784.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* -> .
% 300.09/300.45 65908[5:SSi:65813.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat))),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat))** -> .
% 300.09/300.45 65909[5:SSi:65814.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat))),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat))** -> .
% 300.09/300.45 66245[0:SpR:632.1,65885.0] || c_lessequals(u,v,tc_nat) -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.09/300.45 66831[0:SSi:66760.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_Finite__Set_Ofinite(u,tc_nat) c_in(c_Suc(c_Suc(c_Finite__Set_Olinorder__class_OMax(u,tc_nat))),u,tc_nat)* -> .
% 300.09/300.45 67384[5:MRR:67364.0,936.0] || c_lessequals(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),tc_fun(v,tc_bool))* -> c_Finite__Set_Ofinite(u,v).
% 300.09/300.45 77392[7:Rew:77105.0,51487.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v)** -> equal(v_U,u).
% 300.09/300.45 77393[7:Rew:77105.0,50997.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),w)** -> equal(v_U,u).
% 300.09/300.45 79929[7:Rew:77105.0,77395.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat),v_U)** -> equal(v_U,u).
% 300.09/300.45 79930[7:Rew:77105.0,77401.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 79931[7:Rew:77105.0,77407.1] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 79932[7:Rew:77105.0,77415.1] || c_lessequals(u,v,tc_nat)* c_lessequals(v,v_U,tc_nat)* -> equal(v_U,u).
% 300.09/300.45 77424[7:Rew:77105.0,22890.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 77425[7:Rew:77105.0,22888.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.45 77427[7:Rew:77105.0,22881.1] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v),tc_nat)* -> equal(v_U,u).
% 300.09/300.45 79936[7:Rew:77105.0,77599.1] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),tc_nat)* v_wt(u).
% 300.09/300.45 77621[7:Rew:77105.0,39277.0] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),u)** -> .
% 300.09/300.45 79937[7:Rew:77105.0,77644.2] || c_HOL_Oord__class_Oless(v_U,u,tc_nat)* equal(u,v)* equal(v,v_U)* -> .
% 300.09/300.45 79938[7:Rew:77105.0,77749.1] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),u)** -> equal(v,v_U) equal(u,v_U).
% 300.09/300.45 77755[7:Rew:77105.0,57831.0] || -> equal(u,v_U) c_lessequals(c_Suc(c_Suc(v)),c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat)),tc_nat)*.
% 300.09/300.45 77758[7:Rew:77105.0,57790.1] || equal(c_Suc(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat)),c_Suc(u))** -> equal(u,v_U).
% 300.09/300.45 79939[7:Rew:77105.0,77759.1] || -> equal(u,v_U) equal(v,v_U) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v,tc_nat)*.
% 300.09/300.45 79940[7:Rew:77105.0,77843.2] || equal(u,v)* -> equal(u,v_U)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.09/300.45 78039[7:Rew:77105.0,53556.0] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v,w,tc_nat),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.09/300.45 78041[7:Rew:77105.0,53530.0] || -> equal(u,v_U) c_lessequals(c_Suc(c_Suc(v)),c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)*.
% 300.09/300.45 79942[7:Rew:77105.0,78047.2] || equal(u,v_U)* -> equal(v,u)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.09/300.45 79943[7:Rew:77105.0,78065.1] || equal(u,v_U)* equal(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U)** -> equal(u,v)*.
% 300.09/300.45 78096[7:Rew:77105.0,22709.0] || equal(u,v_U) c_lessequals(v,u,tc_nat)* -> c_lessequals(v,w,tc_nat)*.
% 300.09/300.45 78097[7:Rew:77105.0,22706.0] || equal(u,v_U) c_HOL_Oord__class_Oless(v,w,tc_nat)* -> c_HOL_Oord__class_Oless(u,w,tc_nat)*.
% 300.09/300.45 78156[7:Rew:77105.0,30727.0] || c_lessequals(u,v_U,tc_nat)* c_lessequals(v,u,tc_nat)* -> equal(u,v).
% 300.09/300.45 78163[7:Rew:77105.0,73885.1] || c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat) c_lessequals(u,w,tc_bool)*.
% 300.09/300.45 79944[7:Rew:77105.0,78212.2] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.09/300.45 79945[7:Rew:77105.0,78290.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)** -> equal(v,u)* c_HOL_Oord__class_Oless(v_U,v,tc_nat)*.
% 300.09/300.45 78298[7:Rew:77105.0,22845.1] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat) c_lessequals(u,w,tc_nat)*.
% 300.09/300.45 79947[7:Rew:77105.0,78395.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),v_U)** -> equal(v,v_U).
% 300.09/300.45 78424[7:Rew:77105.0,41702.1] || c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(v),tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.09/300.45 78432[7:Rew:77105.0,38628.1] || equal(c_Suc(c_Suc(u)),c_Suc(v)) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.09/300.45 78433[7:Rew:77105.0,38627.1] || equal(c_Suc(c_Suc(c_Suc(u))),v) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.09/300.45 78465[7:Rew:77105.0,50636.1] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_nat)* equal(v_U,v).
% 300.09/300.45 79950[7:Rew:77105.0,78467.2] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.09/300.45 79951[7:Rew:77105.0,78469.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v).
% 300.09/300.45 79952[7:Rew:77105.0,78482.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_nat)* equal(v_U,v).
% 300.09/300.45 78484[7:Rew:77105.0,22899.1] || c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(u),tc_nat)* -> equal(v_U,v).
% 300.09/300.45 78486[7:Rew:77105.0,22897.1] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)* equal(v_U,v).
% 300.09/300.45 79954[7:Rew:77105.0,78500.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U,tc_nat)*.
% 300.09/300.45 78517[7:Rew:77105.0,43481.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v).
% 300.09/300.45 79955[7:Rew:77105.0,78523.1] || -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.09/300.45 79956[7:Rew:77105.0,78526.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U)**.
% 300.09/300.45 79957[7:Rew:77105.0,78545.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v_U)**.
% 300.09/300.45 79958[7:Rew:77105.0,78547.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> equal(c_HOL_Ominus__class_Ominus(v,w,tc_nat),v_U)**.
% 300.09/300.45 79960[7:Rew:77105.0,78586.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U,tc_nat).
% 300.09/300.46 78635[7:Rew:77105.0,43819.1] || -> equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.09/300.46 79961[7:Rew:77105.0,78637.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v_U)**.
% 300.09/300.46 79962[7:Rew:77105.0,78638.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,w,tc_nat),v_U)**.
% 300.09/300.46 78670[7:Rew:77105.0,41160.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.46 78677[7:Rew:77105.0,41164.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.46 78688[7:Rew:77105.0,22910.1] || c_lessequals(c_Suc(u),v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),v_U)** -> .
% 300.09/300.46 78692[7:Rew:77105.0,22912.1] || c_lessequals(c_Suc(u),v,tc_nat)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),v_U)** -> .
% 300.09/300.46 78698[7:Rew:77105.0,43324.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U) c_lessequals(v,c_Suc(c_Suc(u)),tc_nat)*.
% 300.09/300.46 78699[7:Rew:77105.0,41931.1] || equal(c_Suc(c_Suc(u)),v) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)**.
% 300.09/300.46 78702[7:Rew:77105.0,38639.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)**.
% 300.09/300.46 78703[7:Rew:77105.0,38596.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U) c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(u)),tc_nat)*.
% 300.09/300.46 78704[7:Rew:77105.0,38595.1] || c_lessequals(c_Suc(u),v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)**.
% 300.09/300.46 79963[7:Rew:77105.0,78716.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U).
% 300.09/300.46 78741[7:Rew:77105.0,38612.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(v)),tc_nat),v_U)** c_lessequals(v,c_Suc(u),tc_nat).
% 300.09/300.46 78742[7:Rew:77105.0,38611.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(v)),tc_nat),v_U)** c_HOL_Oord__class_Oless(v,c_Suc(u),tc_nat).
% 300.09/300.46 78743[7:Rew:77105.0,22937.1] || c_lessequals(u,v,tc_nat) -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(v)),tc_nat),v_U)**.
% 300.09/300.46 78748[7:Rew:77105.0,51499.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),u)** -> equal(v_U,w).
% 300.09/300.46 78749[7:Rew:77105.0,51293.1] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)* equal(v_U,w).
% 300.09/300.46 78750[7:Rew:77105.0,51010.1] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v)** -> equal(v_U,w).
% 300.09/300.46 79964[7:Rew:77105.0,78758.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_nat)* equal(v_U,w).
% 300.09/300.46 78760[7:Rew:77105.0,22942.1] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat)* equal(v_U,w).
% 300.09/300.46 78782[7:Rew:77105.0,30733.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 78790[7:Rew:77105.0,43578.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v_U)** -> equal(w,v).
% 300.09/300.46 79966[7:Rew:77105.0,78811.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_HOL_Ominus__class_Ominus(v,w,tc_nat),v_U)**.
% 300.09/300.46 79967[7:Rew:77105.0,78820.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v_U)**.
% 300.09/300.46 78837[7:Rew:77105.0,29646.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)),tc_nat),v_U)**.
% 300.09/300.46 78857[7:Rew:77105.0,39078.1] || equal(u,v) -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v_U)**.
% 300.09/300.46 78869[7:Rew:77105.0,38893.1] || -> c_lessequals(u,v,tc_nat) equal(c_HOL_Ominus__class_Ominus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),v_U)**.
% 300.09/300.46 78870[7:Rew:77105.0,29664.1] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) equal(c_HOL_Ominus__class_Ominus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),v_U)**.
% 300.09/300.46 78871[7:Rew:77105.0,29668.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)),tc_nat),v_U)**.
% 300.09/300.46 78877[7:Rew:77105.0,29928.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)),tc_nat),v_U)**.
% 300.09/300.46 78884[7:Rew:77105.0,53822.1] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(w,u,tc_nat))* -> equal(w,v_U).
% 300.09/300.46 79968[7:Rew:77105.0,78999.1] || -> equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 79003[7:Rew:77105.0,43918.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.46 79028[7:Rew:77105.0,37174.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 79029[7:Rew:77105.0,37173.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 79037[7:Rew:77105.0,38673.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,u,tc_nat))))),tc_nat),v_U)**.
% 300.09/300.46 79038[7:Rew:77105.0,38632.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u))))))),tc_nat),v_U)**.
% 300.09/300.46 79039[7:Rew:77105.0,38674.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))))),tc_nat),v_U)**.
% 300.09/300.46 79067[7:Rew:77105.0,40988.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat),tc_nat),v_U)**.
% 300.09/300.46 79071[7:Rew:77105.0,41113.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 79090[7:Rew:77105.0,61660.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,w,tc_nat)* c_HOL_Oord__class_Oless(w,v,tc_nat)*.
% 300.09/300.46 79136[7:Rew:77105.0,43938.1] || -> equal(u,v) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 79215[7:Rew:77105.0,48296.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)* equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.46 79969[7:Rew:77105.0,79239.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U,tc_nat).
% 300.09/300.46 79242[7:Rew:77105.0,48243.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v,tc_nat),tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 79243[7:Rew:77105.0,48244.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 79247[7:Rew:77105.0,48316.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 79248[7:Rew:77105.0,48315.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 79258[7:Rew:77105.0,48603.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 79263[7:Rew:77105.0,48833.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 79265[7:Rew:77105.0,49224.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 79266[7:Rew:77105.0,49744.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 79269[7:Rew:77105.0,49859.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 79327[7:Rew:77105.0,60437.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(u)))))),u,tc_nat),v_U)** -> .
% 300.09/300.46 79350[7:Rew:77105.0,65897.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat),v_U)**.
% 300.09/300.46 79371[7:Rew:77105.0,67259.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),v,tc_nat),v_U)** -> .
% 300.09/300.46 79388[7:Rew:77105.0,71463.1] || c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) c_lessequals(u,w,tc_bool)*.
% 300.09/300.46 79396[7:Rew:77105.0,72940.0] || c_lessequals(u,v_U,tc_bool)* -> c_lessequals(v,w,tc_bool)* c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.09/300.46 79982[7:Rew:77105.0,79483.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,v,w),tc_bool)* equal(c_Set_Oinsert(u,v_U,w),v_U).
% 300.09/300.46 79983[7:Rew:77105.0,79484.1] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,v,w),tc_bool)* c_lessequals(v,v_U,tc_fun(w,tc_bool)).
% 300.09/300.46 79495[7:Rew:77105.0,71460.2] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || c_HOL_Oord__class_Oless(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ozero__class_Ozero(tc_bool),tc_bool)*.
% 300.09/300.46 79507[7:Rew:77105.0,72384.1] || c_HOL_Oord__class_Oless(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,w,tc_bool)* c_HOL_Oord__class_Oless(w,v,tc_bool)*.
% 300.09/300.46 79508[7:Rew:77105.0,72385.1] || c_in(u,v,w)* -> c_in(v_U,c_Set_Oimage(v_G,v,w,x),x)*.
% 300.09/300.46 79985[7:Rew:77105.0,79522.0] || -> c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),tc_bool)* c_Finite__Set_Ofinite(v_U,v).
% 300.09/300.46 79562[7:Rew:77105.0,73194.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(c_COMBK(u,v,w),v_U,tc_Com_Opname,x),u),tc_bool)*.
% 300.09/300.46 79563[7:Rew:77105.0,73195.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_bool),tc_bool)* c_lessequals(u,v,tc_nat)*.
% 300.09/300.46 79986[7:Rew:77105.0,79642.1] class_Ring__and__Field_Ozero__neq__one(u) || equal(c_HOL_Oone__class_Oone(u),v_U) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ozero__class_Ozero(u),tc_bool)*.
% 300.09/300.46 79987[7:Rew:77105.0,79643.2] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ozero__class_Ozero(u),tc_bool) c_lessequals(v_U,c_HOL_Oone__class_Oone(u),u)*.
% 300.09/300.46 79988[7:Rew:77105.0,79644.2] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ozero__class_Ozero(u),tc_bool)* c_HOL_Oord__class_Oless(v_U,c_HOL_Oone__class_Oone(u),u)*.
% 300.09/300.46 79989[7:Rew:77105.0,79650.2] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oone__class_Oone(u),tc_bool) c_lessequals(c_HOL_Ozero__class_Ozero(u),v_U,u)*.
% 300.09/300.46 79990[7:Rew:77105.0,79651.2] class_Ring__and__Field_Oordered__semidom(u) || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oone__class_Oone(u),tc_bool) c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(u),v_U,u)*.
% 300.09/300.46 79739[7:Rew:77105.0,74756.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_bool)*.
% 300.09/300.46 79743[7:Rew:77105.0,74754.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_bool)*.
% 300.09/300.46 79775[7:Rew:77105.0,74327.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(c_COMBK(u,v,w),v_U,tc_Com_Opname,x),u),tc_nat)*.
% 300.09/300.46 82568[7:Res:2173.0,82519.0] || equal(hAPP(c_Set_Oimage(c_COMBK(u,v,w),v_U,tc_Com_Opname,x),u),v_U)** -> .
% 300.09/300.46 83428[7:Res:77448.1,250.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_bool),tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.09/300.46 83432[7:SSi:83420.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_HOL_Oord__class_Oless(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,w,tc_nat)* c_HOL_Oord__class_Oless(w,v,tc_bool)*.
% 300.09/300.46 86556[7:SSi:86543.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 86557[7:SSi:86546.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,w,tc_bool)* c_HOL_Oord__class_Oless(w,v,tc_nat)*.
% 300.09/300.46 87439[7:Res:191.2,78165.0] class_OrderedGroup_Opordered__ab__group__add(tc_bool) || c_HOL_Oord__class_Oless(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ozero__class_Ozero(tc_bool),tc_nat)*.
% 300.09/300.46 88364[7:SpL:77168.1,86354.0] || c_HOL_Oord__class_Oless(v_U,u,tc_nat)* equal(u,v)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.09/300.46 95586[5:SpL:47735.0,557.0] || equal(c_Set_Oinsert(u,v_G,t_a),c_Set_Oinsert(v,v_G,t_a))* -> equal(u,v).
% 300.09/300.46 95600[7:SpR:5.0,79861.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_bool)* equal(v_U,v).
% 300.09/300.46 95662[7:SpR:4.0,79862.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_bool)* equal(w,v_U).
% 300.09/300.46 96120[7:Res:79601.1,352.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)* equal(u,v) c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.46 96142[7:Res:79601.1,366.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_bool)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 96143[7:Res:79601.1,367.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_bool)* c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 99164[5:SpR:496.0,63056.0] || -> c_HOL_Oord__class_Oless(v_G,c_Set_Oimage(u,c_Set_Oinsert(v,w,x),x,y),tc_fun(t_a,tc_bool))*.
% 300.09/300.46 100864[7:MRR:100770.2,77116.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_Suc(c_Suc(c_Suc(v))),u,tc_nat)* -> .
% 300.09/300.46 100865[7:MRR:100749.2,77116.0] || c_HOL_Oord__class_Oless(u,v,tc_nat) c_lessequals(c_HOL_Oplus__class_Oplus(w,v,tc_nat),u,tc_nat)* -> .
% 300.09/300.46 101740[7:SpL:542.0,101465.0] || c_lessequals(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v),v_U,tc_nat)* -> .
% 300.09/300.46 103065[7:Res:79405.0,82519.0] || equal(hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_Com_Opname,v),v_U),v_U)** -> .
% 300.09/300.46 110693[7:Res:80102.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 110873[10:SSi:110864.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v_U,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.09/300.46 110874[10:SSi:110865.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.09/300.46 110886[10:SSi:110877.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool) -> c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_bool)*.
% 300.09/300.46 110887[10:SSi:110878.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.09/300.46 111736[7:Res:110890.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 111949[7:Res:110694.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 112076[7:Res:110995.1,77320.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 112575[7:Res:110995.1,77327.0] || hBOOL(u) equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 112579[7:Res:110890.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 112588[7:Res:110694.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 112606[7:Res:80102.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 114198[7:SpR:77189.1,79765.0] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114302[7:SpL:77189.1,79771.0] || equal(u,v)* -> equal(u,v_U)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.09/300.46 114398[7:Res:35076.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(v),u,tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114551[7:Res:77326.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Finite__Set_Ocard(c_Set_Oinsert(u,v_U,tc_Com_Opname),tc_Com_Opname),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114559[7:Res:110995.1,89259.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114560[7:Res:79869.1,89259.0] || -> equal(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114563[7:Res:110890.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114572[7:Res:110694.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v_U,tc_fun(tc_Com_Opname,tc_bool)),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114590[7:Res:80102.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_Suc(u)))),u,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114759[7:SSi:114620.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 114766[7:SpL:77189.1,95854.1] || c_lessequals(u,v_U,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_bool)* -> equal(v,v_U).
% 300.09/300.46 114769[7:Res:195.1,95854.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(u),c_HOL_Oone__class_Oone(tc_bool),tc_bool),v_U,tc_bool)* -> .
% 300.09/300.46 114790[7:SpL:632.1,95861.0] || c_lessequals(u,v,tc_nat)* c_lessequals(v,v_U,tc_bool)* -> equal(u,v_U).
% 300.09/300.46 114941[10:Res:186.1,95900.0] class_Orderings_Olinorder(tc_bool) || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_bool)* c_HOL_Oord__class_Oless(v_U,u,tc_bool).
% 300.09/300.46 114962[10:Res:95936.1,6358.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.09/300.46 115003[10:Res:95936.1,6385.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.09/300.46 115004[10:Res:95936.1,35057.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),v_U,tc_nat)* -> .
% 300.09/300.46 115523[10:Res:115248.0,32.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* c_HOL_Oord__class_Oless(u,tc_fun(w,tc_bool),tc_nat)*.
% 300.09/300.46 115598[10:Res:115288.1,32.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,tc_fun(w,tc_bool),tc_nat)*.
% 300.09/300.46 115680[10:Res:115318.0,32.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,tc_fun(w,tc_bool),tc_nat)*.
% 300.09/300.46 115956[10:Res:115215.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 115957[10:Res:115215.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 115958[10:Res:115215.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 116185[10:SpR:632.1,115338.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool).
% 300.09/300.46 116229[10:SpL:632.1,115339.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),v_U) -> .
% 300.09/300.46 116264[10:SpR:632.1,115340.0] || c_lessequals(tc_fun(u,tc_bool),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat).
% 300.09/300.46 116287[10:Res:115340.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 116288[10:Res:115340.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 116289[10:Res:115340.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 117220[10:Res:39079.1,95937.0] || equal(tc_fun(u,tc_bool),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.46 117223[10:Res:50915.1,95937.0] || equal(tc_fun(u,tc_bool),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.46 117309[10:Res:12106.1,95937.0] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat)*.
% 300.09/300.46 117333[11:Res:113225.1,89259.0] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 117334[11:Res:113225.1,77327.0] class_Orderings_Oorder(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 117335[11:Res:113225.1,77320.0] class_Orderings_Oorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 117571[12:Res:113372.1,89259.0] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 117572[12:Res:113372.1,77327.0] class_Orderings_Opreorder(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 117573[12:Res:113372.1,77320.0] class_Orderings_Opreorder(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 117984[13:Res:113564.1,89259.0] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 117985[13:Res:113564.1,77327.0] class_HOL_Oord(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 117986[13:Res:113564.1,77320.0] class_HOL_Oord(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 118221[14:Res:113848.1,89259.0] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 118222[14:Res:113848.1,77327.0] class_Orderings_Obot(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 118223[14:Res:113848.1,77320.0] class_Orderings_Obot(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 118458[15:Res:114044.1,89259.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 118459[15:Res:114044.1,77327.0] class_Complete__Lattice_Ocomplete__lattice(u) || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 118460[15:Res:114044.1,77320.0] class_Complete__Lattice_Ocomplete__lattice(u) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,u),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 120001[7:Res:114191.1,89259.0] || -> c_Finite__Set_Ofinite(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oimage(v,v_U,tc_Com_Opname,u),tc_nat),tc_bool)*.
% 300.09/300.46 120002[7:Res:114191.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oimage(u,v_U,tc_Com_Opname,v),tc_nat),v_U)** -> c_Finite__Set_Ofinite(v_U,v).
% 300.09/300.46 120003[7:Res:114191.1,77320.0] || -> c_Finite__Set_Ofinite(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oimage(v,v_U,tc_Com_Opname,u),tc_nat),tc_nat)*.
% 300.09/300.46 120025[7:MRR:120000.0,1113.0] || -> c_Finite__Set_Ofinite(v_U,u) c_HOL_Oord__class_Oless(v_U,c_Set_Oinsert(v,c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),u),tc_nat)*.
% 300.09/300.46 120244[7:SpR:451.1,77366.0] || c_Finite__Set_Ofinite(u,v) -> c_HOL_Oord__class_Oless(v_U,c_Finite__Set_Ocard(c_Set_Oinsert(w,u,v),v),tc_bool)*.
% 300.09/300.46 120905[10:Res:39079.1,115247.0] || equal(tc_fun(u,tc_bool),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_bool)*.
% 300.09/300.46 120908[10:Res:50915.1,115247.0] || equal(tc_fun(u,tc_bool),v)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_bool)*.
% 300.09/300.46 120994[10:Res:12106.1,115247.0] || -> c_HOL_Oord__class_Oless(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_bool)*.
% 300.09/300.46 121017[10:Res:39079.1,115287.0] || equal(tc_fun(u,tc_bool),v)* equal(c_HOL_Oplus__class_Oplus(w,v,tc_nat),v_U)** -> .
% 300.09/300.46 121020[10:Res:50915.1,115287.0] || equal(tc_fun(u,tc_bool),v)* equal(c_HOL_Oplus__class_Oplus(v,w,tc_nat),v_U)** -> .
% 300.09/300.46 121106[10:Res:12106.1,115287.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(v,tc_fun(w,tc_bool),tc_nat)*.
% 300.09/300.46 121993[7:MRR:121992.1,1113.0] || equal(c_Set_Oinsert(u,c_Orderings_Obot__class_Obot(tc_fun(v,tc_bool)),v),v_U)** -> c_Finite__Set_Ofinite(v_U,v).
% 300.09/300.46 122217[7:Rew:77124.0,122049.2] || c_lessequals(u,v_U,tc_bool)* c_lessequals(v,u,tc_nat)* -> equal(v,u).
% 300.09/300.46 122323[7:Res:122206.1,32.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 122756[0:SpL:259.0,734.0] || c_in(v_pn,c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),tc_Com_Opname)* -> .
% 300.09/300.46 122757[0:SpL:259.0,1311.0] || hBOOL(hAPP(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),v_pn))* -> .
% 300.09/300.46 122762[7:SpL:259.0,100202.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Set_Oinsert(v,v_U,tc_Com_Opname),tc_fun(tc_Com_Opname,tc_bool)),v_U,tc_nat)* -> .
% 300.09/300.46 123167[10:SpL:4.0,122656.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.09/300.46 123194[10:SpL:5.0,122657.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),w,tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.09/300.46 123585[10:SpR:323.0,121205.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),u,tc_nat))),tc_nat)*.
% 300.09/300.46 123651[10:Res:121205.0,25748.1] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat))),c_Suc(c_Suc(v)))** -> .
% 300.09/300.46 124102[10:Res:368.1,123647.0] || c_lessequals(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),w,tc_nat)* -> .
% 300.09/300.46 124106[10:Res:369.1,123647.0] || c_lessequals(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.09/300.46 124417[10:Rew:4.0,124313.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),v,tc_nat)* -> .
% 300.09/300.46 124418[10:Rew:4.0,124317.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,tc_fun(w,tc_bool),tc_nat),tc_nat),u,tc_nat)* -> .
% 300.09/300.46 124518[10:SpR:322.0,121303.0] || -> c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat))),tc_nat)*.
% 300.09/300.46 124574[10:Res:121303.0,25748.1] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat))),c_Suc(c_Suc(u)))** -> .
% 300.09/300.46 124742[10:Res:123196.1,35057.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),v_U,tc_bool)* -> .
% 300.09/300.46 124773[10:SpL:323.0,123631.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat)),c_Suc(c_Suc(v)),tc_nat)* -> .
% 300.09/300.46 124878[10:SpL:322.0,124245.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat)),c_Suc(c_Suc(u)),tc_nat)* -> .
% 300.09/300.46 124999[10:Res:25765.1,124930.0] || equal(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(u),tc_fun(v,tc_bool),tc_nat)),c_Suc(c_Suc(u)))** -> .
% 300.09/300.46 130605[7:Res:79872.1,89259.0] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.09/300.46 131817[7:Res:79873.2,89259.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v_U,v) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.09/300.46 134097[7:Rew:77120.0,134081.1] || c_lessequals(u,v_U,tc_nat)* c_lessequals(v,v_U,tc_nat)* -> equal(u,v)*.
% 300.09/300.46 135069[7:Res:79882.0,89259.0] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.09/300.46 135070[7:Res:79882.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> equal(v,v_U) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.09/300.46 135071[7:Res:79882.0,77320.0] || -> equal(u,v_U) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.09/300.46 135108[7:Res:79882.2,121.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_bool),tc_nat)* equal(c_HOL_Ozero__class_Ozero(tc_bool),v_U).
% 300.09/300.46 135128[7:Res:1307.0,78164.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,v_U,tc_Com_Opname),v_pn),tc_bool)*.
% 300.09/300.46 135130[7:Res:493.0,78164.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,w,x),v),tc_bool)*.
% 300.09/300.46 135186[7:Res:79883.2,121.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_bool),tc_bool)* equal(c_HOL_Ozero__class_Ozero(tc_bool),v_U).
% 300.09/300.46 136046[7:SpR:79884.1,739.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),tc_bool)* v_wt(u).
% 300.09/300.46 141682[7:Res:1307.0,79391.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,v_U,tc_Com_Opname),v_pn),tc_bool)*.
% 300.09/300.46 141684[7:Res:493.0,79391.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,w,x),v),tc_bool)*.
% 300.09/300.46 141719[7:SpR:574.1,79891.0] || c_in(u,v,w)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) hBOOL(hAPP(v_U,u)).
% 300.09/300.46 142055[7:SSi:141974.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v,tc_nat),tc_bool)* c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 142298[7:SSi:142226.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat),tc_bool)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 142357[7:SpR:519.0,79722.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_bool)* c_lessequals(c_Suc(u),c_Suc(v),tc_nat).
% 300.09/300.46 142443[7:SpR:519.0,80108.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* c_lessequals(c_Suc(u),c_Suc(v),tc_nat).
% 300.09/300.46 142472[7:Res:80108.0,89259.0] || -> c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 142473[7:Res:80108.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),v_U)** -> c_lessequals(u,v,tc_nat).
% 300.09/300.46 142474[7:Res:80108.0,77320.0] || -> c_lessequals(u,v,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 142953[7:SpL:542.0,142935.0] || c_lessequals(hAPP(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),v),v_U,tc_bool)* -> .
% 300.09/300.46 143164[7:SpL:99801.1,41013.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat) -> .
% 300.09/300.46 143260[7:SpR:100083.1,50511.0] || c_lessequals(u,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 143424[7:SpR:100083.1,39079.1] || c_lessequals(u,v_U,tc_nat)* equal(v,u)* -> c_lessequals(v,w,tc_nat)*.
% 300.09/300.46 143460[7:SpR:100083.1,7397.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.09/300.46 143466[7:SpR:100083.1,34604.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.09/300.46 143467[7:SpR:100083.1,40706.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.09/300.46 143468[7:SpR:100083.1,35075.0] || c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U,tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.09/300.46 143675[7:SpL:100083.1,6358.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* c_HOL_Oord__class_Oless(w,v,tc_nat)* -> .
% 300.09/300.46 143676[7:SpL:100083.1,6385.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* c_HOL_Oord__class_Oless(w,u,tc_nat)* -> .
% 300.09/300.46 143681[7:SpL:100083.1,25755.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* equal(c_Suc(w),v)* -> .
% 300.09/300.46 143682[7:SpL:100083.1,25808.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* equal(c_Suc(w),u)* -> .
% 300.09/300.46 143685[7:SpL:100083.1,41568.0] || c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U,tc_nat)* equal(v,u) -> .
% 300.09/300.46 144776[7:SpL:574.1,101744.0] || c_in(u,v,w)* equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(v,u),tc_nat),v_U)** -> .
% 300.09/300.46 144801[7:SpR:574.1,110689.0] || c_in(u,v,w)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(v,u),tc_nat),tc_nat)*.
% 300.09/300.46 144817[7:Res:110689.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 144818[7:Res:110689.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 144819[7:Res:110689.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v,w),u),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 144878[7:SpR:574.1,114586.0] || c_in(u,v,w)* -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(v,u),tc_nat),tc_bool)*.
% 300.09/300.46 145743[7:SpR:130608.0,739.0] || -> c_HOL_Oord__class_Oless(v_U,c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),tc_nat)* c_HOL_Oord__class_Oless(v_U,u,tc_bool)* v_wt(u).
% 300.09/300.46 147369[7:SpR:130608.0,739.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Option_Othe(c_Com_Obody(v_pn),tc_Com_Ocom),tc_bool)* v_wt(u).
% 300.09/300.46 150484[7:Res:130608.1,89259.0] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool)*.
% 300.09/300.46 150485[7:Res:130608.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U)** -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)*.
% 300.09/300.46 150486[7:Res:130608.1,77320.0] || -> equal(u,v)* c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat)*.
% 300.09/300.46 151217[7:Res:135079.2,121.1] class_Ring__and__Field_Oordered__semidom(tc_bool) || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_bool),v_U)** -> equal(c_HOL_Ozero__class_Ozero(tc_bool),v_U).
% 300.09/300.46 151244[7:SpR:574.1,141733.1] || c_in(u,v,w)* -> hBOOL(hAPP(v_U,u)) c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.09/300.46 151250[7:Res:141733.1,89259.0] || -> hBOOL(hAPP(v_U,u)) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oinsert(u,v,w),tc_nat),tc_bool)*.
% 300.09/300.46 151251[7:Res:141733.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oinsert(u,v,w),tc_nat),v_U)** -> hBOOL(hAPP(v_U,u)).
% 300.09/300.46 151252[7:Res:141733.1,77320.0] || -> hBOOL(hAPP(v_U,u)) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oinsert(u,v,w),tc_nat),tc_nat)*.
% 300.09/300.46 156378[7:SpL:574.1,151259.0] || c_in(u,v,w)* equal(v,v_U) -> hBOOL(hAPP(v_U,u)).
% 300.09/300.46 156433[7:Res:77195.2,89259.0] || equal(u,v_U)* -> equal(v,u)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.09/300.46 156905[7:SpR:574.1,79890.0] || c_in(u,v,w)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) c_in(u,v_U,w)*.
% 300.09/300.46 156941[7:Res:83430.0,89259.0] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_bool)*.
% 300.09/300.46 156942[7:Res:83430.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> equal(v,u) c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.09/300.46 156943[7:Res:83430.0,77320.0] || -> equal(u,v) c_HOL_Oord__class_Oless(v,u,tc_bool)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)*.
% 300.09/300.46 157047[7:Res:86482.2,204.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_bool)* equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v).
% 300.09/300.46 157201[7:Rew:157200.1,157128.1,157047.1,157128.1] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_bool)* equal(w,v).
% 300.09/300.46 157234[7:Res:79409.0,89277.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_Com_Opname,v),v_U),tc_bool)*.
% 300.09/300.46 157388[7:Res:157257.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat),tc_bool)*.
% 300.09/300.46 157389[7:Res:157257.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat),v_U)** -> .
% 300.09/300.46 157390[7:Res:157257.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subset__iff__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat),tc_nat)*.
% 300.09/300.46 157431[7:Res:157368.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat),tc_bool)*.
% 300.09/300.46 157432[7:Res:157368.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat),v_U)** -> .
% 300.09/300.46 157433[7:Res:157368.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(hAPP(v_U,c_ATP__Linkup_Osko__Set__Ximage__subsetI__1__1(v_U,v_G,v_mgt__call,tc_Com_Opname,t_a)),tc_nat),tc_nat)*.
% 300.09/300.46 157565[7:Res:79409.0,89294.0] || -> c_HOL_Oord__class_Oless(v_U,hAPP(c_Set_Oimage(c_Orderings_Obot__class_Obot(tc_fun(u,tc_bool)),v_U,tc_Com_Opname,v),v_U),tc_nat)*.
% 300.09/300.46 157634[5:SSi:157615.0,612.0,616.0,613.0,617.0,614.0,615.0] || -> c_lessequals(hAPP(c_ATP__Linkup_Osko__Finite__Set__Xfinite__subset__image__1__1(u,v_G,v,w,t_a),x),hAPP(u,x),tc_bool)*.
% 300.09/300.46 157717[7:SpR:574.1,156919.1] || c_in(u,v,w)* -> c_in(u,v_U,w)* c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.09/300.46 157723[7:Res:156919.1,89259.0] || -> c_in(u,v_U,v) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oinsert(u,w,v),tc_nat),tc_bool)*.
% 300.09/300.46 157724[7:Res:156919.1,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oinsert(u,v,w),tc_nat),v_U)** -> c_in(u,v_U,w).
% 300.09/300.46 157725[7:Res:156919.1,77320.0] || -> c_in(u,v_U,v) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Set_Oinsert(u,w,v),tc_nat),tc_nat)*.
% 300.09/300.46 157802[7:SpL:574.1,157732.0] || c_in(u,v,w)* equal(v,v_U) -> c_in(u,v_U,w)*.
% 300.09/300.46 158261[7:Res:158031.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 158262[7:Res:158031.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 158263[7:Res:158031.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_pn),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 161792[0:SpR:225.0,65888.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat) c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),c_Suc(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat)),tc_nat)*.
% 300.09/300.46 162743[0:SpL:225.0,65893.0] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.46 165933[7:SpR:153803.1,78836.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat)* equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.09/300.46 168353[7:Res:122206.1,6133.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.09/300.46 168484[16:Res:164260.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 168485[16:Res:164260.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 168486[16:Res:164260.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(hAPP(c_Set_Oinsert(u,v_U,v),v_U),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 168645[0:SpR:225.0,7124.0] || -> c_HOL_Oord__class_Oless(u,v,tc_nat)* c_HOL_Oord__class_Oless(w,u,tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.09/300.46 168737[5:Res:7124.0,40721.1] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(w)),tc_nat)*.
% 300.09/300.46 169134[0:SpL:323.0,7286.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_lessequals(u,w,tc_nat).
% 300.09/300.46 169236[7:Res:122206.1,7286.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 169675[0:SpL:322.0,7576.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),w,tc_nat)* -> c_lessequals(v,w,tc_nat).
% 300.09/300.46 169774[7:Res:122206.1,7576.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_bool)* -> c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.09/300.46 172455[10:Res:110851.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 172483[7:Res:77273.1,31646.0] || -> equal(u,v) c_HOL_Oord__class_Oless(w,c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 172500[7:Res:79995.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,v),v_U),tc_nat),tc_nat)*.
% 300.09/300.46 172506[7:Res:80007.0,31646.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(v))),v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 173855[7:Res:172418.1,31646.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 173922[7:Rew:4.0,173867.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(w,c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 173977[7:SpR:4.0,173859.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 174572[7:SpR:4.0,173860.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 174687[7:SpL:4.0,173880.1] || hBOOL(u) equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 174773[7:SpR:5.0,173961.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 174864[7:SpR:5.0,174556.1] || hBOOL(u) -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 174905[7:Res:174556.1,31646.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 175060[5:Res:25762.1,64371.0] || equal(c_Suc(c_Suc(u)),c_HOL_Ominus__class_Ominus(v,w,tc_nat))* -> c_lessequals(u,v,tc_nat)*.
% 300.09/300.46 175061[5:Res:25750.1,64371.0] || equal(c_Suc(u),c_Suc(c_HOL_Ominus__class_Ominus(v,w,tc_nat)))* -> c_lessequals(u,v,tc_nat)*.
% 300.09/300.46 175085[0:Res:269.1,64371.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_lessequals(c_Suc(u),v,tc_nat).
% 300.09/300.46 175136[7:SpL:5.0,174671.1] || hBOOL(u) equal(c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 175271[7:Res:173805.1,6133.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 175273[7:Res:173805.1,32.0] || hBOOL(u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 175961[7:SpL:632.1,175850.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat)* c_lessequals(u,v_U,tc_nat) -> .
% 300.09/300.46 176978[0:Res:49173.0,472.1] || c_Finite__Set_Ofinite(c_Set_Oinsert(u,c_Set_Oinsert(v,w,x),x),x)* -> c_Finite__Set_Ofinite(w,x).
% 300.09/300.46 178657[5:Res:731.1,48040.0] || equal(c_HOL_Ominus__class_Ominus(v_U,u,tc_fun(tc_Com_Opname,tc_bool)),v_G)** -> c_in(v_pn,u,tc_Com_Opname).
% 300.09/300.46 178658[0:Res:731.1,544.0] || -> c_in(v_pn,u,tc_Com_Opname) hBOOL(hAPP(c_HOL_Ominus__class_Ominus(v_U,u,tc_fun(tc_Com_Opname,tc_bool)),v_pn))*.
% 300.09/300.46 178731[7:Res:172738.1,35057.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 178817[7:Res:172739.1,35057.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 178903[7:Res:172740.1,35057.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 180527[10:SpR:322.0,172472.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)),tc_nat)*.
% 300.09/300.46 180544[10:Res:172472.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 180545[10:Res:172472.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 180546[10:Res:172472.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 180571[10:Res:172472.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)),c_Suc(u))** -> .
% 300.09/300.46 180613[10:SSi:180539.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 180919[10:SpR:632.1,180642.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.09/300.46 181020[10:Res:180710.0,89259.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 181021[10:Res:180710.0,77327.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 181022[10:Res:180710.0,77320.0] || -> c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 181087[10:SpL:632.1,180855.0] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)* equal(v,v_U) -> .
% 300.09/300.46 181618[10:SpR:323.0,180519.0] || -> c_HOL_Oord__class_Oless(c_Suc(u),c_Suc(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),u,tc_nat)),tc_nat)*.
% 300.09/300.46 181673[10:Res:180519.0,25748.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)),c_Suc(v))** -> .
% 300.09/300.46 181711[10:SSi:181643.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || -> c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 181744[10:SpL:143013.1,180569.0] || c_lessequals(u,v_U,tc_nat)* equal(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),u)* -> .
% 300.09/300.46 181773[10:SSi:181761.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,tc_fun(v,tc_bool),tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat))** -> .
% 300.09/300.46 182130[7:SpL:632.1,181553.1] || c_lessequals(u,v,tc_nat)* hBOOL(u) c_lessequals(v,v_U,tc_nat)* -> .
% 300.09/300.46 182273[10:SSi:182265.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),v,tc_nat),tc_nat),c_Nat_Osemiring__1__class_Oof__nat(v,tc_nat))** -> .
% 300.09/300.46 182279[7:Res:493.0,173809.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,w,x),v),tc_nat)*.
% 300.09/300.46 182450[7:Res:1307.0,173810.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,v_U,tc_Com_Opname),v_pn),tc_nat)*.
% 300.09/300.46 182452[7:Res:493.0,173810.0] || -> c_HOL_Oord__class_Oless(v_U,u,tc_bool) c_HOL_Oord__class_Oless(u,hAPP(c_Set_Oinsert(v,w,x),v),tc_nat)*.
% 300.09/300.46 182585[7:Res:173811.2,35057.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat),v_U)** hBOOL(v) -> .
% 300.09/300.46 183080[0:Res:175066.0,41013.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat),tc_nat),v,tc_nat)*.
% 300.09/300.46 183097[10:Res:175066.0,124930.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),tc_fun(w,tc_bool),tc_nat),u,tc_nat)*.
% 300.09/300.46 183870[7:SpR:2804.0,77500.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)*.
% 300.09/300.46 183878[7:SpR:2611.0,77500.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_lessequals(c_Suc(v),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)*.
% 300.09/300.46 184361[7:Res:78443.1,39146.1] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)** equal(c_Suc(c_Suc(v)),u) -> .
% 300.09/300.46 184363[7:Res:78443.1,5634.1] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) c_HOL_Oord__class_Oless(c_Suc(v),u,tc_nat)* -> .
% 300.09/300.46 184364[7:Res:78443.1,563.1] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) c_lessequals(c_Suc(v),u,tc_nat)* -> .
% 300.09/300.46 184442[7:Rew:322.0,184381.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)))),u,tc_nat),v_U)** -> .
% 300.09/300.46 184401[7:Res:78443.1,1716.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.46 184402[7:Res:78443.1,1614.0] || equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.46 184412[7:Res:78443.1,14023.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U)** -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.09/300.46 184413[7:Res:78443.1,12156.0] || equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat).
% 300.09/300.46 184596[7:Res:77255.1,78444.0] || -> equal(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),v_U)** equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.09/300.46 184609[7:Res:77309.0,78444.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U)** equal(c_HOL_Ominus__class_Ominus(v,u,tc_nat),v_U).
% 300.09/300.46 184616[7:Res:2287.1,78444.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),v,tc_nat)* -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U).
% 300.09/300.46 185905[5:Res:6143.1,39066.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* equal(v,c_HOL_Ominus__class_Ominus(u,w,tc_nat))* -> .
% 300.09/300.46 186261[0:SpR:385.0,6157.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(w),tc_nat)* -> c_lessequals(v,w,tc_nat).
% 300.09/300.46 186278[0:SpR:384.0,6157.1] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(w),tc_nat)* -> c_lessequals(u,w,tc_nat).
% 300.09/300.46 186341[0:Res:6157.1,285.0] || c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat) -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.46 188810[7:SpR:225.0,173272.0] || -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_bool).
% 300.09/300.46 188888[7:SpL:225.0,173273.0] || equal(c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),v_U) -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat)*.
% 300.09/300.46 188951[7:SpR:225.0,173274.0] || -> c_HOL_Oord__class_Oless(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat).
% 300.09/300.46 189480[7:SpL:632.1,189424.0] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat)* c_lessequals(u,v_U,tc_bool) -> .
% 300.09/300.46 193735[5:Res:40684.1,7278.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_lessequals(u,c_Suc(c_Suc(w)),tc_nat)*.
% 300.09/300.46 194235[7:Res:77255.1,7536.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),v_U)** c_lessequals(w,u,tc_nat).
% 300.09/300.46 195308[5:Res:40684.1,7568.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),w)* -> c_lessequals(v,c_Suc(c_Suc(w)),tc_nat)*.
% 300.09/300.46 196007[0:SpR:37.0,29550.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(u,w,tc_nat),tc_nat)*.
% 300.09/300.46 196101[0:SpR:382.0,29550.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,w,tc_nat),v,tc_nat),tc_nat)*.
% 300.09/300.46 196312[7:SpR:77314.0,196015.0] || -> c_lessequals(u,v,tc_nat) c_lessequals(c_HOL_Ominus__class_Ominus(v,c_Suc(c_Suc(u)),tc_nat),v_U,tc_nat)*.
% 300.09/300.46 196423[5:Res:196015.0,25636.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat))),c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat))** -> .
% 300.09/300.46 196691[5:Res:196400.0,25636.0] || equal(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat))),c_HOL_Ominus__class_Ominus(u,v,tc_nat))** -> .
% 300.09/300.46 196918[5:Res:196502.0,25636.0] || equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Ominus__class_Ominus(u,v,tc_nat)),tc_nat),c_Suc(c_Suc(v)))** -> .
% 300.09/300.46 197144[5:Res:196757.0,25636.0] || equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(c_Suc(u),v,tc_nat),tc_nat),c_Suc(c_Suc(v)))** -> .
% 300.09/300.46 197441[0:Rew:4.0,197313.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 197321[0:SpR:5.0,29944.0] || -> c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 197809[0:SpR:519.0,196993.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(c_Suc(u),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.46 197889[5:Res:196993.0,25636.0] || equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(c_Suc(c_Suc(v))))** -> .
% 300.09/300.46 198026[5:SpR:519.0,197953.0] || -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(u),c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),c_Suc(c_Suc(v)),tc_nat)*.
% 300.09/300.46 198856[0:SpR:37.0,34610.0] || -> c_lessequals(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Oplus__class_Oplus(w,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 199599[5:Res:24120.1,61112.0] || equal(c_Suc(u),c_HOL_Ominus__class_Ominus(v,w,tc_nat))* -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.09/300.46 200374[0:Res:62872.1,31646.0] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(w,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.46 200404[5:Res:62872.1,39066.1] || c_lessequals(c_Suc(u),v,tc_nat)* equal(v,c_HOL_Ominus__class_Ominus(u,w,tc_nat))* -> .
% 300.09/300.46 200762[0:Res:564.1,63285.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v,tc_nat),w,tc_nat)* c_HOL_Oord__class_Oless(c_Suc(w),c_Suc(u),tc_nat).
% 300.09/300.46 202612[17:SSi:202522.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat)* c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.46 202613[17:SSi:202523.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.09/300.46 202614[17:SSi:202600.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(v_G,u,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat)* c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.09/300.46 202705[17:SSi:202615.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v_U,tc_bool)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat)* c_HOL_Oord__class_Oless(u,v,tc_bool)*.
% 300.09/300.46 202706[17:SSi:202616.0,612.0,616.0,613.0,617.0,614.0,615.0] || c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.09/300.46 202707[17:SSi:202694.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool) c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.09/300.46 202708[17:SSi:202695.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || c_lessequals(v_G,u,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool)* c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.09/300.46 202798[17:SSi:202779.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(u,v_U) c_lessequals(v,u,tc_nat)* -> c_HOL_Oord__class_Oless(v,v_G,tc_nat).
% 300.09/300.46 202799[17:SSi:202780.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(u,v_U) c_lessequals(v_G,v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.46 203003[17:SSi:202983.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(v_G,u) c_lessequals(v,v_U,tc_nat)* -> c_HOL_Oord__class_Oless(v,u,tc_nat)*.
% 300.09/300.46 203004[17:SSi:202984.0,606.0,603.0,601.0,597.0,605.0,598.0,595.0,610.0,604.0,593.0,611.0,600.0,596.0,594.0,607.0,609.0,599.0,602.0,608.0] || equal(v_G,u) c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.09/300.46 203023[17:SSi:203009.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(v_G,u) c_lessequals(v,v_U,tc_bool)* -> c_HOL_Oord__class_Oless(v,u,tc_bool)*.
% 300.09/300.46 203024[17:SSi:203010.0,612.0,616.0,613.0,617.0,614.0,615.0] || equal(v_G,u) c_lessequals(u,v,tc_bool)* -> c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.09/300.46 203492[18:Rew:203026.0,168738.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G)** -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(w)),tc_nat)*.
% 300.09/300.46 203513[18:Rew:203026.0,182307.0] || equal(u,v_G) c_HOL_Oord__class_Oless(v,u,tc_nat)* -> c_lessequals(v,v_U,tc_nat)*.
% 300.09/300.46 203551[18:Rew:203026.0,39326.0] || equal(u,v_G) -> equal(u,c_Suc(v)) c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.09/300.46 203559[18:Rew:203026.0,77620.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) equal(v,v_G) -> c_lessequals(v,u,tc_nat)*.
% 300.09/300.46 203563[18:Rew:203026.0,40460.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* equal(v,v_G) -> equal(c_Suc(u),v).
% 300.09/300.46 203655[18:Rew:203026.0,164178.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))))))),tc_nat)*.
% 300.09/300.46 203661[18:Rew:203026.0,182380.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)))))),u,tc_nat)* -> .
% 300.09/300.46 203695[18:Rew:203026.0,61664.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat)),v,tc_nat)* -> c_HOL_Oord__class_Oless(u,v,tc_nat).
% 300.09/300.46 203705[18:Rew:203026.0,15988.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat))),u,tc_nat)* -> .
% 300.09/300.46 203706[18:Rew:203026.0,15998.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)))),tc_nat)*.
% 300.09/300.46 203707[18:Rew:203026.0,15999.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)))),tc_nat)*.
% 300.09/300.46 203708[18:Rew:203026.0,35566.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)))),u)** -> .
% 300.09/300.46 203720[18:Rew:203026.0,79294.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)),tc_nat),v_U)**.
% 300.09/300.46 203865[18:Rew:203026.0,164148.0] || c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat).
% 300.09/300.46 203895[18:Rew:203026.0,164206.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)))),tc_nat)*.
% 300.09/300.46 203898[18:Rew:203026.0,179944.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)))),tc_nat)*.
% 300.09/300.46 203947[18:Rew:203026.0,164210.1] || -> c_lessequals(u,c_Suc(c_Suc(v)),tc_nat) c_lessequals(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.09/300.46 203958[18:Rew:203026.0,78407.1] || -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U) c_lessequals(v,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.09/300.46 204025[18:Rew:203026.0,38563.1] || equal(u,c_Suc(v)) equal(c_Suc(v),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))* -> .
% 300.09/300.46 204042[18:Rew:203026.0,164214.0] || equal(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v_U) -> c_lessequals(u,tc_fun(v,tc_bool),tc_nat)*.
% 300.09/300.46 204061[18:Rew:203026.0,164216.1] || -> c_lessequals(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)*.
% 300.09/300.46 204080[18:Rew:203026.0,164215.1] || -> c_lessequals(u,tc_fun(v,tc_bool),tc_nat)* c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_bool)*.
% 300.09/300.46 204091[18:Rew:203026.0,78023.0] || equal(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat))* -> equal(u,v_U).
% 300.09/300.46 204188[18:Rew:203026.0,179949.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_HOL_Oplus__class_Oplus(tc_fun(v,tc_bool),c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_nat)),tc_nat)*.
% 300.09/300.46 204190[18:Rew:203026.0,124957.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),tc_fun(v,tc_bool),tc_nat),u,tc_nat)* -> .
% 300.09/300.46 204202[18:Rew:203026.0,143464.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v_U,tc_nat)* -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.09/300.46 204218[18:Rew:203026.0,181895.0] || c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),v_U,tc_bool)* -> c_lessequals(u,c_Suc(v),tc_nat)*.
% 300.09/300.46 204228[18:Rew:203026.0,197008.0] || -> c_lessequals(c_HOL_Ominus__class_Ominus(u,v_G,tc_nat),c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 204275[18:Rew:203026.0,78890.0] || c_lessequals(v_G,u,tc_nat) c_lessequals(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_U,tc_nat)* -> .
% 300.09/300.46 204276[18:Rew:203026.0,78783.0] || c_lessequals(v_G,u,tc_nat) c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_U,tc_nat)* -> .
% 300.09/300.46 204308[18:Rew:203026.0,189696.1] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat)* c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> .
% 300.09/300.46 204320[18:Rew:203026.0,179926.1] || c_lessequals(u,c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.09/300.46 204328[18:Rew:203026.0,179859.1] || equal(c_HOL_Ominus__class_Ominus(u,tc_fun(v,tc_bool),tc_nat),u)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.09/300.46 204359[18:Rew:203026.0,110964.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) -> c_HOL_Oord__class_Oless(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.09/300.46 204384[18:Rew:203026.0,79256.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 204385[18:Rew:203026.0,79244.0] || -> c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_HOL_Oord__class_Oless(v_U,c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 204386[18:Rew:203026.0,79024.1] || equal(c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat),v_U)** -> c_HOL_Oord__class_Oless(u,v_G,tc_nat).
% 300.09/300.46 204413[18:Rew:203026.0,62387.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat)* -> c_lessequals(v,w,tc_nat)* c_HOL_Oord__class_Oless(u,v,tc_nat)*.
% 300.09/300.46 204420[18:Rew:203026.0,20199.0] || c_HOL_Oord__class_Oless(u,v_G,tc_nat) c_lessequals(v,u,tc_nat)* -> equal(u,v).
% 300.09/300.46 204422[18:Rew:203026.0,78406.0] || equal(c_Suc(c_Suc(u)),c_Suc(v_G)) -> equal(c_HOL_Ominus__class_Ominus(u,v,tc_nat),v_U)**.
% 300.09/300.46 204448[18:Rew:203026.0,77705.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_lessequals(c_Suc(c_Suc(v_G)),c_Suc(c_Suc(u)),tc_nat)*.
% 300.09/300.46 204551[18:Rew:203026.0,95961.1] || c_HOL_Oord__class_Oless(c_Suc(tc_fun(u,tc_bool)),v,tc_nat)* -> c_HOL_Oord__class_Oless(c_Suc(v_G),v,tc_nat).
% 300.09/300.46 204560[18:Rew:203026.0,62889.1] || c_lessequals(c_Suc(c_Suc(c_Suc(u))),v,tc_nat)* -> c_HOL_Oord__class_Oless(c_Suc(v_G),v,tc_nat).
% 300.09/300.46 204572[18:Rew:203026.0,77708.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_lessequals(c_Suc(c_Suc(u)),c_Suc(v_G),tc_nat)* -> .
% 300.09/300.46 204582[18:Rew:203026.0,186265.1] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(u)),c_Suc(v),tc_nat)* -> c_lessequals(c_Suc(v_G),v,tc_nat).
% 300.09/300.46 204583[18:Rew:203026.0,123775.1] || c_lessequals(c_Suc(tc_fun(u,tc_bool)),v,tc_nat)* -> c_lessequals(c_Suc(v_G),v,tc_nat).
% 300.09/300.46 204634[18:Rew:203026.0,123799.0] || c_lessequals(u,c_Suc(v_G),tc_nat) -> c_lessequals(u,c_Suc(tc_fun(v,tc_bool)),tc_nat)*.
% 300.09/300.46 204643[18:Rew:203026.0,63300.0] || c_lessequals(u,c_Suc(v_G),tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(v))),tc_nat)*.
% 300.09/300.46 204646[18:Rew:203026.0,123800.0] || c_HOL_Oord__class_Oless(u,c_Suc(v_G),tc_nat) -> c_HOL_Oord__class_Oless(u,c_Suc(tc_fun(v,tc_bool)),tc_nat)*.
% 300.09/300.46 204665[18:Rew:203026.0,78027.0] || c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v_G),tc_nat)* -> equal(u,v_U).
% 300.09/300.46 204667[18:Rew:203026.0,78451.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(v_G))** -> equal(v_U,v).
% 300.09/300.46 204668[18:Rew:203026.0,78028.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),c_Suc(v_G))** -> equal(u,v_U).
% 300.09/300.46 204669[18:Rew:203026.0,78037.1] || -> equal(u,v_U) c_HOL_Oord__class_Oless(c_Suc(v_G),c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat))),tc_nat)*.
% 300.09/300.46 204670[18:Rew:203026.0,78063.2] || equal(u,v_U)* equal(v,u)* equal(c_Suc(v_G),v)* -> .
% 300.09/300.46 204775[18:Rew:203026.0,168099.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,u,tc_nat),c_Suc(v_G),tc_nat))),tc_nat)*.
% 300.09/300.46 204777[18:Rew:203026.0,168100.0] || -> c_lessequals(u,c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(u,v,tc_nat),c_Suc(v_G),tc_nat))),tc_nat)*.
% 300.09/300.46 204795[18:Rew:203026.0,184310.0] || equal(c_Suc(c_Suc(hAPP(c_Set_Oimage(v_G,v_U,tc_Com_Opname,u),v_U))),c_Suc(v_G))** -> .
% 300.09/300.46 204796[18:Rew:203026.0,185671.0] || equal(c_Suc(c_Suc(c_Nat_Osemiring__1__class_Oof__nat(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),tc_nat))),c_Suc(v_G))** -> .
% 300.09/300.46 204799[18:Rew:203026.0,188511.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),tc_nat))),c_Suc(v_G))** -> .
% 300.09/300.46 204800[18:Rew:203026.0,189093.0] || equal(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat))),c_Suc(v_G))** -> .
% 300.09/300.46 204872[18:Rew:203026.0,189313.1] || c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat)* equal(c_Suc(u),v_G) -> .
% 300.09/300.46 204875[18:Rew:203026.0,172446.0] || -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 204880[18:Rew:203026.0,163947.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(v))** -> equal(c_Suc(u),v_G).
% 300.09/300.46 204891[18:Rew:203026.0,86654.1] || c_lessequals(u,v,tc_bool)* -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_U,v,tc_bool).
% 300.09/300.46 204899[18:Rew:203026.0,78191.1] || c_lessequals(u,v,tc_nat)* -> equal(c_Suc(u),v_G) c_HOL_Oord__class_Oless(v_U,v,tc_nat).
% 300.09/300.46 204926[18:Rew:203026.0,27517.0] || equal(c_Suc(u),v_G) c_lessequals(v,u,tc_nat)* -> equal(u,v).
% 300.09/300.46 204939[18:Rew:203026.0,7130.0] || -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),tc_nat)* c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 204949[18:Rew:203026.0,77841.2] || c_lessequals(u,v,tc_nat)* -> equal(u,v_U) c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)*.
% 300.09/300.46 204956[18:Rew:203026.0,12832.1] || c_lessequals(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(v),tc_nat)* equal(v,u).
% 300.09/300.46 205010[18:Rew:203026.0,110872.1] || c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.09/300.46 205028[18:Rew:203026.0,86587.2] || hBOOL(u) c_lessequals(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.09/300.46 205043[18:Rew:203026.0,78062.2] || equal(u,v_U)* equal(v,u)* c_HOL_Oord__class_Oless(v_G,v,tc_nat)* -> .
% 300.09/300.46 205044[18:Rew:203026.0,77706.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_HOL_Oord__class_Oless(v_G,v,tc_nat) c_lessequals(v,u,tc_nat)*.
% 300.09/300.46 205045[18:Rew:203026.0,77385.2] || c_lessequals(c_Suc(u),v,tc_nat)* -> equal(v_U,u) c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.09/300.46 205064[18:Rew:203026.0,61662.2] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_lessequals(u,w,tc_nat)* c_HOL_Oord__class_Oless(v_G,v,tc_nat)*.
% 300.09/300.46 205070[18:Rew:203026.0,50481.1] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(v,w,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(v_G,v,tc_nat).
% 300.09/300.46 205083[18:Rew:203026.0,6361.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.46 205114[18:Rew:203026.0,110950.1] || c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(tc_fun(u,tc_bool),tc_nat),v,tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.09/300.46 205138[18:Rew:203026.0,78055.1] || equal(u,v_U)* c_lessequals(v_G,v,tc_nat)* equal(v,u)* -> .
% 300.09/300.46 205139[18:Rew:203026.0,77639.2] || c_HOL_Oord__class_Oless(v_U,u,tc_nat)* equal(u,v)* -> c_lessequals(v_G,v,tc_nat)*.
% 300.09/300.46 205157[18:Rew:203026.0,33802.1] || c_lessequals(c_Suc(u),c_HOL_Oplus__class_Oplus(v,u,tc_nat),tc_nat)* -> c_lessequals(v_G,v,tc_nat).
% 300.09/300.46 205159[18:Rew:203026.0,19749.1] || c_lessequals(u,v,tc_nat)* -> c_lessequals(v_G,v,tc_nat)* c_lessequals(u,w,tc_nat)*.
% 300.09/300.46 205165[18:Rew:203026.0,7410.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(w,v,tc_nat),tc_nat)*.
% 300.09/300.46 205170[18:Rew:203026.0,7412.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.46 205173[18:Rew:203026.0,6561.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(v,w,tc_nat),tc_nat)*.
% 300.09/300.46 205176[18:Rew:203026.0,50982.1] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.09/300.46 205178[18:Rew:203026.0,6986.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(w,v,tc_nat)),tc_nat)*.
% 300.09/300.46 205179[18:Rew:203026.0,51472.1] || equal(c_Suc(u),v)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.09/300.46 205181[18:Rew:203026.0,6987.1] || c_HOL_Oord__class_Oless(u,v,tc_nat)* -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(v,w,tc_nat)),tc_nat)*.
% 300.09/300.46 205185[18:Rew:203026.0,168336.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,tc_fun(w,tc_bool),tc_nat)*.
% 300.09/300.46 205188[18:Rew:203026.0,121931.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(u,tc_fun(w,tc_bool),tc_nat)*.
% 300.09/300.46 205191[18:Rew:203026.0,78830.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_HOL_Ominus__class_Ominus(u,w,tc_nat),v_U)**.
% 300.09/300.46 205192[18:Rew:203026.0,78816.0] || -> c_lessequals(v_G,c_HOL_Oplus__class_Oplus(u,v,tc_nat),tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,w,tc_nat),v_U)**.
% 300.09/300.46 205203[18:Rew:203026.0,168362.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> c_HOL_Oord__class_Oless(v,c_Suc(w),tc_nat)*.
% 300.09/300.46 205212[18:Rew:203026.0,7126.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 205220[18:Rew:203026.0,192478.0] || c_lessequals(u,v_G,tc_nat)* equal(u,c_Suc(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool))))* -> .
% 300.09/300.46 205221[18:Rew:203026.0,191435.0] || c_lessequals(u,v_G,tc_nat) c_HOL_Oord__class_Oless(c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_bool)),u,tc_nat)* -> .
% 300.09/300.46 205298[18:Rew:203026.0,110963.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(u,c_Nat_Osemiring__1__class_Oof__nat(tc_fun(v,tc_bool),tc_nat),tc_nat)*.
% 300.09/300.46 205367[18:Rew:203026.0,78908.0] || c_lessequals(u,v_G,tc_nat) -> c_lessequals(c_HOL_Ominus__class_Ominus(u,c_Suc(v),tc_nat),v_U,tc_nat)*.
% 300.09/300.46 205368[18:Rew:203026.0,78458.0] || c_lessequals(u,v_G,tc_nat) -> equal(v_U,v) c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)*.
% 300.09/300.46 205393[18:Rew:203026.0,64376.0] || c_lessequals(u,v_G,tc_nat)* -> c_lessequals(v,w,tc_nat)* c_lessequals(u,v,tc_nat)*.
% 300.09/300.46 205408[18:Rew:203026.0,60211.0] || c_lessequals(u,v_G,tc_nat)* equal(c_Suc(c_Suc(c_Suc(v))),c_Suc(u))* -> .
% 300.09/300.46 205431[18:Rew:203026.0,7562.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> c_lessequals(v,c_Suc(w),tc_nat)*.
% 300.09/300.46 205432[18:Rew:203026.0,7272.0] || c_lessequals(c_HOL_Oplus__class_Oplus(u,v,tc_nat),v_G,tc_nat)* -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 205433[18:Rew:203026.0,172445.0] || equal(v_G,u) -> c_HOL_Oord__class_Oless(v,c_HOL_Oplus__class_Oplus(v,c_Nat_Osemiring__1__class_Oof__nat(u,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 205438[18:Rew:203026.0,163942.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_Suc(v)))** -> equal(v_G,u).
% 300.09/300.46 205464[18:Rew:203026.0,168703.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(v)),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.09/300.46 205469[18:Rew:203026.0,32208.1] || c_lessequals(c_Suc(u),v,tc_nat) -> c_lessequals(v_G,c_HOL_Ominus__class_Ominus(v,u,tc_nat),tc_nat)*.
% 300.09/300.46 205471[18:Rew:203026.0,10261.1] || c_HOL_Oord__class_Oless(u,v,tc_nat) -> c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Ominus__class_Ominus(v,u,tc_nat)),tc_nat)*.
% 300.09/300.46 205475[18:Rew:203026.0,163766.1] || equal(c_Suc(c_HOL_Oplus__class_Oplus(u,v,tc_nat)),c_Suc(c_Suc(u)))** -> equal(v_G,v).
% 300.09/300.46 205480[18:Rew:203026.0,13435.1] || -> c_HOL_Oord__class_Oless(u,c_Suc(v),tc_nat)* c_HOL_Oord__class_Oless(v_G,c_Suc(c_HOL_Oplus__class_Oplus(w,u,tc_nat)),tc_nat)*.
% 300.09/300.46 205481[18:Rew:203026.0,77640.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat)* equal(c_Suc(u),c_HOL_Ominus__class_Ominus(v_G,v,tc_nat))* -> .
% 300.09/300.46 205485[18:Rew:203026.0,77625.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) -> c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),c_Suc(u),tc_nat)*.
% 300.09/300.46 205495[18:Rew:203026.0,77709.1] || c_HOL_Oord__class_Oless(v_U,u,tc_nat) c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> .
% 300.09/300.46 205497[18:Rew:203026.0,62391.0] || c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> c_HOL_Oord__class_Oless(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 205508[18:Rew:203026.0,64386.0] || c_lessequals(u,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat)* -> c_lessequals(u,c_Suc(w),tc_nat)*.
% 300.09/300.46 205517[18:Rew:203026.0,77744.0] || equal(c_Suc(c_Suc(u)),c_Suc(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat)))* -> equal(u,v_U).
% 300.09/300.46 205520[18:Rew:203026.0,78029.1] || -> equal(u,v_U) c_lessequals(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),c_HOL_Oplus__class_Oplus(u,w,tc_nat),tc_nat)*.
% 300.09/300.46 205529[18:Rew:203026.0,78949.1] || c_lessequals(c_Suc(u),v,tc_nat)* -> c_lessequals(c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),v_U,tc_nat)*.
% 300.09/300.46 205535[18:Rew:203026.0,172491.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 205536[18:Rew:203026.0,199295.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat),tc_nat),tc_bool)*.
% 300.09/300.46 205537[18:Rew:203026.0,199297.0] || equal(c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat),tc_nat),v_U)** -> .
% 300.09/300.46 205538[18:Rew:203026.0,199298.0] || -> c_HOL_Oord__class_Oless(v_U,c_HOL_Oplus__class_Oplus(u,c_HOL_Oplus__class_Oplus(v,c_HOL_Ominus__class_Ominus(v_G,v,tc_nat),tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 205570[18:Rew:203026.0,15986.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat) -> c_lessequals(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)*.
% 300.09/300.46 205577[18:Rew:203026.0,15992.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)* c_HOL_Oord__class_Oless(v,c_Suc(c_Suc(u)),tc_nat).
% 300.09/300.46 205578[18:Rew:203026.0,15991.0] || -> c_HOL_Oord__class_Oless(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)* c_lessequals(v,c_Suc(c_Suc(u)),tc_nat).
% 300.09/300.46 205582[18:Rew:203026.0,15984.0] || c_HOL_Oord__class_Oless(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat))),v,tc_nat)* -> .
% 300.09/300.46 205584[18:Rew:203026.0,35562.0] || equal(c_Suc(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)))),v)** -> .
% 300.09/300.46 205592[18:Rew:203026.0,181958.1] || hBOOL(u) -> c_lessequals(v,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 205593[18:Rew:203026.0,78032.1] || -> equal(u,v_U) c_lessequals(v,c_HOL_Oplus__class_Oplus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat),tc_nat)*.
% 300.09/300.46 205613[18:Rew:203026.0,18083.1] || c_lessequals(u,v,tc_nat) -> c_lessequals(u,c_Suc(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat)),tc_nat)*.
% 300.09/300.46 205640[18:Rew:203026.0,33304.0] || c_HOL_Oord__class_Oless(c_Suc(u),c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)* -> c_lessequals(u,v,tc_nat).
% 300.09/300.46 205641[18:Rew:203026.0,182400.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),u) -> .
% 300.09/300.46 205642[18:Rew:203026.0,42175.1] || equal(c_Suc(c_Suc(u)),v)* equal(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),u)* -> .
% 300.09/300.46 205698[18:Rew:203026.0,181957.1] || hBOOL(u) -> c_lessequals(v,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),u,tc_nat),tc_nat)*.
% 300.09/300.46 205699[18:Rew:203026.0,77752.1] || -> equal(u,v_U) c_lessequals(v,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),u,tc_nat),tc_nat)*.
% 300.09/300.46 205708[18:Rew:203026.0,124862.0] || c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(tc_fun(u,tc_bool),c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat),v,tc_nat)* -> .
% 300.09/300.46 205712[18:Rew:203026.0,182398.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_bool)*.
% 300.09/300.46 205719[18:Rew:203026.0,179954.0] || -> equal(c_HOL_Ominus__class_Ominus(u,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat),v_U)** c_lessequals(v,u,tc_nat).
% 300.09/300.46 205723[18:Rew:203026.0,182399.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* -> c_HOL_Oord__class_Oless(v_U,c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),tc_nat)*.
% 300.09/300.46 205727[18:Rew:203026.0,182341.1] || c_HOL_Oord__class_Oless(c_Suc(u),v,tc_nat)* equal(c_HOL_Ominus__class_Ominus(v,v_G,tc_nat),v_U) -> .
% 300.09/300.46 205741[18:Rew:203026.0,167944.0] || -> c_lessequals(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_G,tc_nat)))),tc_nat)*.
% 300.09/300.46 205742[18:Rew:203026.0,170162.0] || -> c_HOL_Oord__class_Oless(u,c_Suc(c_Suc(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(v,u,tc_nat),v_G,tc_nat)))),tc_nat)*.
% 300.09/300.46 205751[18:Rew:203026.0,16334.0] || c_HOL_Oord__class_OlesCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------